Snowie4 Professional Edition Version 4.7.1 HTML Export

Game 01 Match to 19. Score Green-White: 0-0

Move 1 Green		Pip: 167
		Game 1 19 point match Green-White: Score 0-0
		Pip: 167

#	Ply	Move	Equity
1	3	24/21 13/11	0,013
*2	3	13/10 13/11	0,003 (-0,009)
3	3	24/22 13/10	-0,009 (-0,022)
4	3	24/21 24/22	-0,019 (-0,032)
5	3	13/10 6/4	-0,031 (-0,044)

Move 1 White		Pip: 167
		Game 1 19 point match Green-White: Score 0-0
		Pip: 162

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,000
	0,7% 14,4% 50,4% 49,6% 15,1% 0,8%
1.	No double	-0,001
2.	Double, take	-0,339	(-0,338)
3.	Double, pass	1,000	(+1,001)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	3	24/22 13/8	-0,156
2	3	13/8 6/4	-0,177 (-0,021)
3	3	13/8 13/11	-0,182 (-0,026)
4	3	13/6	-0,261 (-0,105)
5	3	13/11 8/3	-0,296 (-0,140)

Move 2 Green		Pip: 160
		Game 1 19 point match Green-White: Score 0-0
		Pip: 162

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,121
	0,8% 17,1% 53,6% 46,4% 12,4% 0,6%
1.	No double	0,160
2.	Double, take	-0,074	(-0,234)
3.	Double, pass	1,000	(+0,840)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	3	8/4 6/4	0,089
2	3	13/9 11/9	-0,002 (-0,092)
3	3	24/20 13/11	-0,065 (-0,154)
4	2	24/20 10/8	-0,078 (-0,167)
5	2	13/11 10/6	-0,099 (-0,188)

Move 2 White		Pip: 160
		Game 1 19 point match Green-White: Score 0-0
		Pip: 156

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,070
	0,7% 13,4% 48,1% 51,9% 16,6% 0,8%
1.	No double	-0,093
2.	Double, take	-0,496	(-0,402)
3.	Double, pass	1,000	(+1,093)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	1	8/5 6/5	-0,032
2	1	24/20	-0,425 (-0,393)
3	1	24/23 13/10	-0,425 (-0,393)
4	1	13/9	-0,428 (-0,397)
5	1	8/4	-0,442 (-0,410)

Move 3 Green		Pip: 156
		Game 1 19 point match Green-White: Score 0-0
		Pip: 156

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,030
	1,0% 17,6% 50,2% 49,8% 15,2% 0,8%
1.	No double	0,031
2.	Double, take	-0,282	(-0,314)
3.	Double, pass	1,000	(+0,969)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
*1	R	24/18 13/11	-0,172
		95% confidence interval: - money cubeless eq.: -0,126 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25010 games), played 2-ply (precise), random seed, with race database.
2	R	13/11 10/4	-0,182 (-0,010)
		95% confidence interval: - money cubeless eq.: -0,128 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25732 games), played 2-ply (precise), random seed, with race database.
3	R	24/18 10/8	-0,185 (-0,013)
		95% confidence interval: - money cubeless eq.: -0,137 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 29937 games), played 2-ply (precise), random seed, with race database.
4	R	24/16	-0,199 (-0,026)
		95% confidence interval: - money cubeless eq.: -0,144 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22030 games), played 2-ply (precise), random seed, with race database.
5	3	11/3*	-0,220 (-0,048)

Move 3 White		Pip: 156
		Game 1 19 point match Green-White: Score 0-0
		Pip: 148

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,140
	1,0% 19,5% 53,8% 46,2% 13,4% 0,7%
1.	No double	0,191
2.	Double, take	-0,033	(-0,224)
3.	Double, pass	1,000	(+0,809)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	2	13/7* 6/1*	0,265
2	2	13/7* 13/8	0,110 (-0,155)
3	2	13/7*/2	-0,014 (-0,279)
4	1	24/13	-0,095 (-0,360)
5	1	13/7* 8/3	-0,129 (-0,395)

Move 4 Green		Pip: 145
		Game 1 19 point match Green-White: Score 0-0
		Pip: 156

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,170
	0,9% 15,2% 45,7% 54,3% 23,3% 1,2%
1.	No double	-0,221
2.	Double, take	-0,709	(-0,488)
3.	Double, pass	1,000	(+1,221)
Proper cube action: No double, take			29%

#	Ply	Move	Equity
*1	1	bar/23	-0,524

Move 4 White		Pip: 145
		Game 1 19 point match Green-White: Score 0-0
		Pip: 154

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,356
	1,6% 28,9% 59,3% 40,7% 12,8% 0,7%
1.	No double	0,489
2.	Double, take	0,444	(-0,045)
3.	Double, pass	1,000	(+0,511)
Proper cube action: No double, take			8%

#	Ply	Move	Equity
1	R	8/5 6/1	0,303
		95% confidence interval: - money cubeless eq.: 0,204 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24153 games), played 2-ply (precise), random seed, with race database.
2	R	13/10 6/1	0,229 (-0,074)
		95% confidence interval: - money cubeless eq.: 0,148 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16389 games), played 2-ply (precise), random seed, with race database.
*3	R	8/3 6/3	0,131 (-0,172)
		95% confidence interval: - money cubeless eq.: 0,079 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33848 games), played 2-ply (precise), random seed, with race database.
4	2	7/4 6/1	0,078 (-0,225)
5	2	13/10 7/2*	0,065 (-0,238)

Alert: Blunder (0,172)

Move 5 Green		Pip: 137
		Game 1 19 point match Green-White: Score 0-0
		Pip: 154

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,088
	1,2% 16,5% 48,7% 51,3% 22,6% 1,3%
1.	No double	-0,111
2.	Double, take	-0,522	(-0,411)
3.	Double, pass	1,000	(+1,111)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	3	bar/23 6/3*	-0,087
2	3	bar/23 11/8	-0,170 (-0,083)
3	3	bar/23 10/7	-0,183 (-0,095)
4	2	bar/23 13/10	-0,264 (-0,176)
5	1	bar/23 8/5	-0,545 (-0,458)

Move 5 White		Pip: 140
		Game 1 19 point match Green-White: Score 0-0
		Pip: 149

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,033
	1,1% 19,2% 51,1% 48,9% 17,9% 1,2%
1.	No double	0,040
2.	Double, take	-0,267	(-0,307)
3.	Double, pass	1,000	(+0,960)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
1	R	bar/15*/5	0,498
		95% confidence interval: - money cubeless eq.: 0,334 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14889 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/15*/10 13/8	0,471 (-0,027)
		95% confidence interval: - money cubeless eq.: 0,313 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19060 games), played 2-ply (precise), random seed, with race database.
3	2	bar/15* 13/8(2)	0,308 (-0,190)
4	2	bar/15* 13/3	0,294 (-0,204)
5	1	bar/15*/10 8/3	0,145 (-0,353)

Move 6 Green		Pip: 120
		Game 1 19 point match Green-White: Score 0-0
		Pip: 164

#	Ply	Move	Equity
*1	1	bar/24* 6/3	-0,014
2	1	bar/24*/21	-0,449 (-0,435)
3	1	bar/24* 11/8	-0,594 (-0,580)
4	1	bar/24* 13/10	-0,734 (-0,720)
5	1	bar/24* 8/5	-0,826 (-0,812)

Move 6 White		Pip: 144
		Game 1 19 point match Green-White: Score 0-0
		Pip: 160

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,009
	1,1% 18,8% 51,2% 48,8% 19,9% 1,4%
1.	No double	0,014
2.	Double, take	-0,310	(-0,324)
3.	Double, pass	1,000	(+0,986)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	1	Can't move	-0,618

Alert: Anti-joker (0,632)

		Pip: 144
		Game 1 19 point match Green-White: Score 0-0
		Pip: 160

7.	Green	Double
	White	Take

Cube action equity
Rollout	Money equity:	0,416
	3,8% 29,8% 60,8% 39,2% 12,5% 1,1%
	95% confidence interval: - money cubeless eq.: 0,416 �0,031. Rollout settings: Full rollout, 360 games (equiv. 7895 games), played 2-ply (precise), random seed, with race database.
1.	No double	0,582
2.	Double, take	0,580	(-0,002)
3.	Double, pass	1,000	(+0,418)
Proper cube action: No double, take			0%

Move 8 Green		Pip: 144
		Game 1 19 point match Green-White: Score 0-0
		Pip: 160

#	Ply	Move	Equity
*1	3	23/18* 11/7	0,421
2	3	23/18* 13/9	0,386 (-0,035)
3	3	23/18*/14	0,337 (-0,084)
4	3	23/18* 8/4	0,256 (-0,165)
5	1	11/6 11/7	-0,209 (-0,630)

Move 8 White		Pip: 162
		Game 1 19 point match Green-White: Score 0-0
		Pip: 151

#	Ply	Move	Equity
*1	1	Can't move	-0,728

Move 9 Green		Pip: 162
		Game 1 19 point match Green-White: Score 0-0
		Pip: 151

#	Ply	Move	Equity
*1	3	18/15* 8/7	0,735
2	3	18/15*/14	0,700 (-0,036)
3	3	18/15* 11/10	0,691 (-0,044)
4	3	18/15* 7/6	0,675 (-0,061)
5	3	24/23 18/15*	0,648 (-0,088)

Move 9 White		Pip: 177
		Game 1 19 point match Green-White: Score 0-0
		Pip: 147

#	Ply	Move	Equity
*1	1	bar/23 bar/24	-0,530

Move 10 Green		Pip: 174
		Game 1 19 point match Green-White: Score 0-0
		Pip: 147

#	Ply	Move	Equity
1	R	23/18 11/8	0,462
		95% confidence interval: - money cubeless eq.: 0,566 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17727 games), played 2-ply (precise), random seed, with race database.
*2	R	15/10 11/8	0,415 (-0,047)
		95% confidence interval: - money cubeless eq.: 0,525 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12655 games), played 2-ply (precise), random seed, with race database.
3	3	23/15	0,407 (-0,055)
4	3	13/8 13/10	0,390 (-0,072)
5	3	24/21 13/8	0,357 (-0,105)

Move 10 White		Pip: 174
		Game 1 19 point match Green-White: Score 0-0
		Pip: 139

#	Ply	Move	Equity
*1	R	bar/23 8/7	-0,495
		95% confidence interval: - money cubeless eq.: -0,605 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12594 games), played 2-ply (precise), random seed, with race database.
2	R	bar/23 24/23	-0,499 (-0,003)
		95% confidence interval: - money cubeless eq.: -0,601 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17115 games), played 2-ply (precise), random seed, with race database.
3	3	bar/24 8/6	-0,579 (-0,083)
4	3	bar/23 3/2*	-0,611 (-0,116)
5	2	bar/23 5/4	-0,710 (-0,214)

Move 11 Green		Pip: 171
		Game 1 19 point match Green-White: Score 0-0
		Pip: 139

#	Ply	Move	Equity
*1	3	24/21 10/9	0,463
2	3	10/6	0,376 (-0,087)
3	3	24/23 10/7	0,280 (-0,183)
4	3	24/23 13/10	0,272 (-0,191)
5	2	13/9	0,242 (-0,221)

Move 11 White		Pip: 171
		Game 1 19 point match Green-White: Score 0-0
		Pip: 135

#	Ply	Move	Equity
1	R	23/20 7/6	-0,459
		95% confidence interval: - money cubeless eq.: -0,569 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13283 games), played 2-ply (precise), random seed, with race database.
2	R	24/23 7/4*	-0,498 (-0,040)
		95% confidence interval: - money cubeless eq.: -0,604 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16047 games), played 2-ply (precise), random seed, with race database.
*3	R	8/5 8/7	-0,593 (-0,134)
		95% confidence interval: - money cubeless eq.: -0,684 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14916 games), played 2-ply (precise), random seed, with race database.
4	3	7/4*/3	-0,528 (-0,069)
5	3	7/4* 5/4	-0,528 (-0,070)

Alert: Blunder (0,134)

Move 12 Green		Pip: 167
		Game 1 19 point match Green-White: Score 0-0
		Pip: 135

#	Ply	Move	Equity
*1	3	23/21 13/9	0,601
2	3	21/15	0,548 (-0,053)
3	3	23/21 9/5	0,521 (-0,080)
4	3	21/17 9/7	0,513 (-0,088)
5	3	23/17	0,471 (-0,130)

Move 12 White		Pip: 167
		Game 1 19 point match Green-White: Score 0-0
		Pip: 129

#	Ply	Move	Equity
*1	2	24/20 13/12*	-0,302
2	2	13/12*/8	-0,613 (-0,312)
3	2	24/20 24/23	-0,617 (-0,315)
4	2	13/9 13/12*	-0,619 (-0,317)
5	2	13/12* 5/1	-0,705 (-0,403)

Move 13 Green		Pip: 162
		Game 1 19 point match Green-White: Score 0-0
		Pip: 141

#	Ply	Move	Equity
*1	1	Can't move	0,208

Move 13 White		Pip: 162
		Game 1 19 point match Green-White: Score 0-0
		Pip: 141

#	Ply	Move	Equity
*1	3	24/20 12/6	-0,060
2	3	24/14	-0,083 (-0,024)
3	3	24/20 13/7	-0,096 (-0,037)
4	1	20/10	-0,338 (-0,278)
5	1	20/14 13/9	-0,344 (-0,285)

Move 14 Green		Pip: 152
		Game 1 19 point match Green-White: Score 0-0
		Pip: 141

#	Ply	Move	Equity
*1	2	bar/17	0,249
2	2	bar/23 21/15	-0,103 (-0,353)
3	1	bar/23 9/3	-0,160 (-0,409)
4	1	bar/23 7/1	-0,447 (-0,697)

Move 14 White		Pip: 152
		Game 1 19 point match Green-White: Score 0-0
		Pip: 133

#	Ply	Move	Equity
*1	3	13/7	-0,400
2	3	13/11 6/2	-0,519 (-0,119)
3	3	13/9 5/3	-0,533 (-0,132)
4	2	13/11 5/1	-0,589 (-0,189)
5	2	5/1 3/1	-0,597 (-0,197)

Move 15 Green		Pip: 146
		Game 1 19 point match Green-White: Score 0-0
		Pip: 133

#	Ply	Move	Equity
*1	3	21/16 21/17	0,574
2	3	17/8	0,423 (-0,151)
3	2	21/16 17/13	0,213 (-0,361)
4	2	21/12	0,212 (-0,362)
5	1	17/13 9/4	0,142 (-0,432)

Move 15 White		Pip: 146
		Game 1 19 point match Green-White: Score 0-0
		Pip: 124

#	Ply	Move	Equity
*1	R	20/15(2) 7/2(2)	-0,501
		95% confidence interval: - money cubeless eq.: -0,581 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 20386 games), played 2-ply (precise), random seed, with race database.
2	R	20/10(2)	-0,543 (-0,042)
		95% confidence interval: - money cubeless eq.: -0,616 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17348 games), played 2-ply (precise), random seed, with race database.
3	3	20/15(2) 7/2 6/1	-0,572 (-0,071)
4	3	20/15(2) 15/5	-0,627 (-0,126)
5	3	20/15(2) 6/1(2)	-0,634 (-0,133)

Move 16 Green		Pip: 126
		Game 1 19 point match Green-White: Score 0-0
		Pip: 124

#	Ply	Move	Equity
*1	2	16/6	0,541
2	2	17/7	0,198 (-0,343)
3	1	16/12 9/3	0,276 (-0,265)
4	1	17/11 16/12	0,217 (-0,323)
5	1	9/3 9/5	0,090 (-0,451)

Move 16 White		Pip: 126
		Game 1 19 point match Green-White: Score 0-0
		Pip: 114

#	Ply	Move	Equity
*1	3	6/1 5/4	-0,582
2	3	7/1	-0,585 (-0,003)
3	3	15/10 5/4	-0,593 (-0,011)
4	3	7/2 5/4	-0,597 (-0,015)
5	3	6/1 2/1	-0,602 (-0,020)

Move 17 Green		Pip: 120
		Game 1 19 point match Green-White: Score 0-0
		Pip: 114

#	Ply	Move	Equity
1	R	17/14(2) 8/5(2)	0,691
		95% confidence interval: - money cubeless eq.: 0,744 �0,012. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 21241 games), played 2-ply (precise), random seed, with race database.
*2	R	17/11(2)	0,617 (-0,073)
		95% confidence interval: - money cubeless eq.: 0,678 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 27095 games), played 2-ply (precise), random seed, with race database.
3	3	9/3 8/5(2)	0,654 (-0,036)
4	3	17/11 8/5(2)	0,594 (-0,097)
5	2	9/6(2) 8/5(2)	0,549 (-0,141)

Move 17 White		Pip: 120
		Game 1 19 point match Green-White: Score 0-0
		Pip: 102

#	Ply	Move	Equity
*1	R	7/4 6/1	-0,612
		95% confidence interval: - money cubeless eq.: -0,674 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 20136 games), played 2-ply (precise), random seed, with race database.
2	R	15/10 15/12	-0,614 (-0,001)
		95% confidence interval: - money cubeless eq.: -0,677 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11820 games), played 2-ply (precise), random seed, with race database.
3	R	15/10 7/4	-0,639 (-0,026)
		95% confidence interval: - money cubeless eq.: -0,699 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25060 games), played 2-ply (precise), random seed, with race database.
4	R	15/10 4/1	-0,664 (-0,052)
		95% confidence interval: - money cubeless eq.: -0,721 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18093 games), played 2-ply (precise), random seed, with race database.
5	R	15/7	-0,677 (-0,065)
		95% confidence interval: - money cubeless eq.: -0,732 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14152 games), played 2-ply (precise), random seed, with race database.

Move 18 Green		Pip: 112
		Game 1 19 point match Green-White: Score 0-0
		Pip: 102

#	Ply	Move	Equity
1	R	11/5(2) 7/1(2)	0,769
		95% confidence interval: - money cubeless eq.: 0,809 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 19011 games), played 2-ply (precise), random seed, with race database.
*2	R	11/5(2) 9/3(2)	0,688 (-0,081)
		95% confidence interval: - money cubeless eq.: 0,739 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 20577 games), played 2-ply (precise), random seed, with race database.
3	2	11/5(2) 9/3 7/1	0,396 (-0,372)
4	1	9/3(2) 7/1(2)	0,517 (-0,251)
5	1	11/5 9/3 7/1(2)	-0,148 (-0,917)

Move 18 White		Pip: 112
		Game 1 19 point match Green-White: Score 0-0
		Pip: 78

#	Ply	Move	Equity
*1	3	15/10 15/13	-0,732
2	3	15/8	-0,732 (-0,000)
3	3	15/10 6/4	-0,773 (-0,042)
4	3	15/10 5/3	-0,787 (-0,056)
5	3	15/13 6/1	-0,790 (-0,058)

Move 19 Green		Pip: 105
		Game 1 19 point match Green-White: Score 0-0
		Pip: 78

#	Ply	Move	Equity
*1	1	8/3 8/4	0,750
2	1	8/4 6/1	0,399 (-0,352)
3	1	7/3 6/1	0,244 (-0,506)
4	1	6/1 5/1	0,218 (-0,532)
5	1	8/3 7/3	0,003 (-0,747)

Move 19 White		Pip: 105
		Game 1 19 point match Green-White: Score 0-0
		Pip: 69

#	Ply	Move	Equity
*1	3	13/8 10/6	-0,721
2	3	13/9 10/5	-0,766 (-0,046)
3	3	13/4	-0,776 (-0,056)
4	3	13/8 6/2	-0,810 (-0,089)
5	3	13/9 6/1	-0,816 (-0,095)

Move 20 Green		Pip: 96
		Game 1 19 point match Green-White: Score 0-0
		Pip: 69

#	Ply	Move	Equity
*1	1	6/1 3/1	0,730
2	1	7/5 6/1	0,203 (-0,528)
3	1	6/1 6/4	0,009 (-0,721)
4	1	6/1 5/3	-0,018 (-0,748)

Move 20 White		Pip: 96
		Game 1 19 point match Green-White: Score 0-0
		Pip: 62

#	Ply	Move	Equity
*1	3	8/3	-0,702
2	3	8/4 2/1	-0,750 (-0,047)
3	3	8/4 3/2	-0,750 (-0,047)
4	3	8/4 6/5	-0,757 (-0,055)
5	3	8/7 6/2	-0,762 (-0,060)

Move 21 Green		Pip: 91
		Game 1 19 point match Green-White: Score 0-0
		Pip: 62

#	Ply	Move	Equity
*1	1	7/1 7/4	0,857
2	1	7/1 4/1	0,192 (-0,665)
3	1	7/1 6/3	-0,543 (-1,400)

Move 21 White		Pip: 91
		Game 1 19 point match Green-White: Score 0-0
		Pip: 53

#	Ply	Move	Equity
*1	3	23/16	-0,856
2	3	23/18 3/1	-0,877 (-0,021)
3	3	23/18 6/4	-0,907 (-0,051)
4	3	23/18 4/2	-0,908 (-0,053)
5	3	23/18 5/3	-0,912 (-0,056)

Move 22 Green		Pip: 84
		Game 1 19 point match Green-White: Score 0-0
		Pip: 53

#	Ply	Move	Equity
*1	3	6/2*(2) 4/off(2)	1,111
2	3	6/2*(2) 5/1(2)	1,026 (-0,085)
3	2	4/off(4)	0,792 (-0,319)
4	1	5/1(2) 4/off(2)	0,739 (-0,372)
5	1	6/2*(2) 5/1 4/off	0,394 (-0,717)

Move 22 White		Pip: 86
		Game 1 19 point match Green-White: Score 0-0
		Pip: 37

#	Ply	Move	Equity
1	3	bar/19 16/14	-1,020
*2	3	bar/17	-1,020 (-0,000)
3	3	bar/19 6/4	-1,031 (-0,011)
4	3	bar/19 4/2	-1,033 (-0,014)
5	3	bar/19 5/3	-1,034 (-0,014)

Move 23 Green		Pip: 78
		Game 1 19 point match Green-White: Score 0-0
		Pip: 37

#	Ply	Move	Equity
*1	1	5/off(2) 4/off(2)	1,088

Move 23 White		Pip: 78
		Game 1 19 point match Green-White: Score 0-0
		Pip: 19

#	Ply	Move	Equity
1	3	17/12 16/14	-1,070
*2	3	17/15 16/11	-1,071 (-0,001)
3	3	16/9	-1,073 (-0,003)
4	3	17/10	-1,073 (-0,004)
5	3	17/12 6/4	-1,113 (-0,043)

Move 24 Green		Pip: 71
		Game 1 19 point match Green-White: Score 0-0
		Pip: 19

#	Ply	Move	Equity
*1	1	3/off(2)	1,049

Move 24 White		Pip: 71
		Game 1 19 point match Green-White: Score 0-0
		Pip: 13

#	Ply	Move	Equity
1	3	15/11 11/9(2)	-1,023
*2	3	15/7	-1,023 (-0,000)
3	3	15/13 11/5	-1,028 (-0,005)
4	3	15/9 6/4	-1,041 (-0,018)
5	3	15/13 11/7 4/2	-1,041 (-0,018)

Move 25 Green		Pip: 63
		Game 1 19 point match Green-White: Score 0-0
		Pip: 13

Michihito wins 2 points.

Game 1 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	expert	advanced
Overall	4,636	7,262
Checker play	4,593	7,262
Double	0,042	0,000
Take	0,000	0,000

Game 02 Match to 19. Score Green-White: 2-0

Move 1 Green		Pip: 167
		Game 2 19 point match Green-White: Score 2-0
		Pip: 167

#	Ply	Move	Equity
*1	3	8/4 6/4	0,142
2	3	24/20 13/11	0,002 (-0,140)
3	3	13/9 13/11	-0,003 (-0,145)
4	3	24/22 13/9	-0,006 (-0,149)
5	2	24/20 24/22	-0,048 (-0,191)

Move 1 White		Pip: 167
		Game 2 19 point match Green-White: Score 2-0
		Pip: 161

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,116
	0,6% 12,7% 46,4% 53,6% 16,9% 0,9%
1.	No double	-0,139
2.	Double, take	-0,549	(-0,410)
3.	Double, pass	1,000	(+1,139)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	R	24/20 13/10	-0,265
		95% confidence interval: - money cubeless eq.: -0,196 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 32544 games), played 2-ply (precise), random seed, with race database.
2	R	13/9 13/10	-0,270 (-0,005)
		95% confidence interval: - money cubeless eq.: -0,206 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24436 games), played 2-ply (precise), random seed, with race database.
3	3	13/6	-0,352 (-0,087)
4	3	13/9 6/3	-0,353 (-0,088)
5	3	24/20 8/5	-0,355 (-0,090)

Move 2 Green		Pip: 160
		Game 2 19 point match Green-White: Score 2-0
		Pip: 161

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,196
	1,0% 18,8% 56,2% 43,8% 11,8% 0,7%
1.	No double	0,263
2.	Double, take	0,055	(-0,208)
3.	Double, pass	1,000	(+0,737)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	3	13/11 8/5*	0,115
2	3	24/22 8/5*	0,053 (-0,062)
3	3	24/21 13/11	-0,001 (-0,117)
4	3	24/22 13/10	-0,002 (-0,117)
5	3	13/8	-0,008 (-0,123)

Move 2 White		Pip: 165
		Game 2 19 point match Green-White: Score 2-0
		Pip: 156

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,066
	0,9% 15,1% 48,6% 51,4% 18,8% 1,0%
1.	No double	-0,068
2.	Double, take	-0,427	(-0,360)
3.	Double, pass	1,000	(+1,068)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
1	R	bar/24 13/7	-0,491
		95% confidence interval: - money cubeless eq.: -0,370 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26537 games), played 2-ply (precise), random seed, with race database.
2	R	bar/24 10/4	-0,536 (-0,045)
		95% confidence interval: - money cubeless eq.: -0,390 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22722 games), played 2-ply (precise), random seed, with race database.
*3	R	bar/18	-0,540 (-0,049)
		95% confidence interval: - money cubeless eq.: -0,409 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 31552 games), played 2-ply (precise), random seed, with race database.
4	2	bar/24 8/2	-0,717 (-0,225)

Move 3 Green		Pip: 158
		Game 2 19 point match Green-White: Score 2-0
		Pip: 156

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,413
	1,3% 27,0% 61,6% 38,4% 9,8% 0,4%
	95% confidence interval: - money cubeless eq.: 0,413 �0,025. Rollout settings: Full rollout, 360 games (equiv. 10756 games), played 2-ply (precise), random seed, with race database.
1.	No double	0,545
2.	Double, take	0,534	(-0,011)
3.	Double, pass	1,000	(+0,455)
Proper cube action: No double, take			2%

#	Ply	Move	Equity
*1	1	11/7* 8/5	0,590
2	1	24/20 8/5	0,257 (-0,333)
3	1	13/9 8/5	0,178 (-0,412)
4	1	24/21 11/7*	0,150 (-0,441)
5	1	8/5 6/2	0,098 (-0,493)

Move 3 White		Pip: 165
		Game 2 19 point match Green-White: Score 2-0
		Pip: 149

#	Ply	Move	Equity
*1	1	Can't move	-1,000

		Pip: 165
		Game 2 19 point match Green-White: Score 2-0
		Pip: 149

4.	Green	Double
	White	Pass

Cube action equity
3-Ply	Money equity:	0,758
	2,3% 38,5% 71,3% 28,7% 7,1% 0,4%
1.	Double, pass	1,000
2.	No double	0,943	(-0,057)
3.	Double, take	1,313	(+0,313)
Proper cube action: Double, pass

Michihito wins 1 point.

Game 2 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	extra-terrestrial	advanced
Overall	0,000	8,149
Checker play	0,000	8,149
Double	0,000	0,000
Take	0,000	0,000

Game 03 Match to 19. Score Green-White: 3-0

Move 1 White		Pip: 167
		Game 3 19 point match Green-White: Score 3-0
		Pip: 167

#	Ply	Move	Equity
*1	R	24/21 13/9	0,057
		95% confidence interval: - money cubeless eq.: 0,027 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 40508 games), played 2-ply (precise), random seed, with race database.
2	R	13/9 13/10	0,048 (-0,009)
		95% confidence interval: - money cubeless eq.: 0,019 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33548 games), played 2-ply (precise), random seed, with race database.
3	R	24/20 13/10	0,039 (-0,018)
		95% confidence interval: - money cubeless eq.: 0,013 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 38733 games), played 2-ply (precise), random seed, with race database.
4	3	24/20 24/21	0,011 (-0,046)
5	3	13/9 8/5	-0,040 (-0,097)

Move 2 Green		Pip: 160
		Game 3 19 point match Green-White: Score 3-0
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,008
	0,7% 13,8% 49,8% 50,2% 14,1% 0,7%
1.	No double	-0,034
2.	Double, take	-0,426	(-0,392)
3.	Double, pass	1,000	(+1,034)
Proper cube action: No double, take			28%

#	Ply	Move	Equity
*1	3	13/8 6/4*	-0,114
2	3	6/1* 6/4*	-0,198 (-0,084)
3	3	13/8 13/11	-0,223 (-0,109)
4	3	24/22 13/8	-0,223 (-0,109)
5	3	13/11 6/1*	-0,224 (-0,110)

Move 2 White		Pip: 164
		Game 3 19 point match Green-White: Score 3-0
		Pip: 160

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,065
	0,8% 15,4% 52,1% 47,9% 13,2% 0,7%
1.	No double	0,111
2.	Double, take	-0,133	(-0,244)
3.	Double, pass	1,000	(+0,889)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
*1	2	bar/23 24/21*	0,201
2	2	bar/22 24/22	-0,003 (-0,203)
3	2	bar/23 13/10	-0,076 (-0,277)
4	2	bar/22 13/11	-0,090 (-0,291)
5	2	bar/20	-0,105 (-0,306)

Move 3 Green		Pip: 159
		Game 3 19 point match Green-White: Score 3-0
		Pip: 181

#	Ply	Move	Equity
*1	R	bar/20 24/21	-0,310
		95% confidence interval: - money cubeless eq.: -0,204 �0,012. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 54806 games), played 2-ply (precise), random seed, with race database.
2	R	bar/20 8/5	-0,336 (-0,026)
		95% confidence interval: - money cubeless eq.: -0,224 �0,012. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 39780 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22 13/8	-0,362 (-0,052)
4	3	bar/20 6/3	-0,392 (-0,082)
5	3	bar/22 8/3	-0,395 (-0,084)

Move 3 White		Pip: 159
		Game 3 19 point match Green-White: Score 3-0
		Pip: 173

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,212
	0,9% 18,0% 56,7% 43,3% 10,5% 0,5%
1.	No double	0,323
2.	Double, take	0,187	(-0,136)
3.	Double, pass	1,000	(+0,677)
Proper cube action: No double, take			17%

#	Ply	Move	Equity
*1	2	9/5* 8/5	0,464
2	2	23/20 13/9	0,166 (-0,297)
3	2	13/9 8/5*	0,148 (-0,316)
4	2	21/18 13/9	0,141 (-0,323)
5	2	13/9 6/3	0,098 (-0,366)

Move 4 Green		Pip: 152
		Game 3 19 point match Green-White: Score 3-0
		Pip: 178

#	Ply	Move	Equity
*1	3	bar/22 24/21 8/5(2)	-0,092
2	3	bar/22 24/21 13/10(2)	-0,198 (-0,106)
3	2	bar/22 24/21 21/18(2)	-0,266 (-0,174)
4	2	bar/22 24/21 6/3(2)	-0,275 (-0,184)
5	2	bar/22 21/18 8/5(2)	-0,297 (-0,205)

Move 4 White		Pip: 152
		Game 3 19 point match Green-White: Score 3-0
		Pip: 166

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,050
	0,6% 12,9% 52,3% 47,7% 12,5% 0,6%
1.	No double	0,088
2.	Double, take	-0,167	(-0,255)
3.	Double, pass	1,000	(+0,912)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
1	R	21/14	-0,052
		95% confidence interval: - money cubeless eq.: -0,057 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21097 games), played 2-ply (precise), random seed, with race database.
2	R	21/18 6/2	-0,090 (-0,038)
		95% confidence interval: - money cubeless eq.: -0,087 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27214 games), played 2-ply (precise), random seed, with race database.
*3	R	13/9 6/3*	-0,134 (-0,083)
		95% confidence interval: - money cubeless eq.: -0,112 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 31548 games), played 2-ply (precise), random seed, with race database.
4	3	13/6	-0,095 (-0,043)
5	3	6/2 6/3*	-0,129 (-0,077)

Move 5 Green		Pip: 145
		Game 3 19 point match Green-White: Score 3-0
		Pip: 169

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,053
	0,9% 16,1% 51,4% 48,6% 13,7% 0,7%
1.	No double	0,042
2.	Double, take	-0,294	(-0,336)
3.	Double, pass	1,000	(+0,958)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	3	bar/15	-0,061
2	3	bar/21 13/7	-0,196 (-0,135)
3	2	bar/21 8/2*	-0,294 (-0,233)

Move 5 White		Pip: 145
		Game 3 19 point match Green-White: Score 3-0
		Pip: 159

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,046
	0,7% 14,3% 51,4% 48,6% 12,7% 0,6%
1.	No double	0,079
2.	Double, take	-0,180	(-0,259)
3.	Double, pass	1,000	(+0,921)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	3	23/18 21/18	0,209
2	3	13/10* 8/3	0,035 (-0,174)
3	2	13/10*/5	-0,062 (-0,271)
4	2	21/13	-0,082 (-0,291)
5	2	23/18 13/10*	-0,114 (-0,324)

Move 6 Green		Pip: 137
		Game 3 19 point match Green-White: Score 3-0
		Pip: 159

#	Ply	Move	Equity
*1	3	15/9 13/9	-0,235
2	3	15/5	-0,273 (-0,038)
3	3	13/3	-0,321 (-0,086)
4	3	15/9 6/2	-0,350 (-0,114)
5	2	8/2 6/2	-0,425 (-0,190)

Move 6 White		Pip: 137
		Game 3 19 point match Green-White: Score 3-0
		Pip: 149

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,161
	0,3% 8,2% 57,5% 42,5% 7,3% 0,2%
1.	No double	0,238
2.	Double, take	0,066	(-0,171)
3.	Double, pass	1,000	(+0,762)
Proper cube action: No double, take			18%

#	Ply	Move	Equity
*1	3	9/3 6/5	0,194
2	3	9/2	0,170 (-0,023)
3	3	13/7 9/8	0,131 (-0,063)
4	2	13/6	0,033 (-0,161)
5	2	13/7 6/5	-0,025 (-0,219)

Move 7 Green		Pip: 130
		Game 3 19 point match Green-White: Score 3-0
		Pip: 149

#	Ply	Move	Equity
*1	3	9/3 9/8	-0,246
2	3	9/3 6/5	-0,366 (-0,120)
3	2	8/2 6/5	-0,416 (-0,171)
4	2	9/2	-0,423 (-0,177)
5	2	8/1	-0,478 (-0,232)

Move 7 White		Pip: 130
		Game 3 19 point match Green-White: Score 3-0
		Pip: 142

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,162
	0,3% 7,7% 58,1% 41,9% 7,7% 0,2%
1.	No double	0,248
2.	Double, take	0,073	(-0,174)
3.	Double, pass	1,000	(+0,752)
Proper cube action: No double, take			19%

#	Ply	Move	Equity
*1	3	13/8	0,186
2	3	13/11 5/2	0,172 (-0,014)
3	3	13/11 6/3	0,122 (-0,063)
4	3	6/1	0,113 (-0,073)
5	3	5/2 3/1	0,103 (-0,083)

Move 8 Green		Pip: 125
		Game 3 19 point match Green-White: Score 3-0
		Pip: 142

#	Ply	Move	Equity
*1	3	8/4 6/3	-0,176
2	3	6/2 6/3	-0,258 (-0,082)
3	3	8/5 6/2	-0,267 (-0,091)
4	3	13/6	-0,269 (-0,092)
5	3	13/9 6/3	-0,311 (-0,135)

Move 8 White		Pip: 125
		Game 3 19 point match Green-White: Score 3-0
		Pip: 135

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,114
	0,3% 7,6% 56,0% 44,0% 8,4% 0,2%
1.	No double	0,180
2.	Double, take	-0,035	(-0,215)
3.	Double, pass	1,000	(+0,820)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
1	R	13/7 8/7	0,207
		95% confidence interval: - money cubeless eq.: 0,141 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17891 games), played 2-ply (precise), random seed, with race database.
*2	R	8/2 3/2	0,109 (-0,098)
		95% confidence interval: - money cubeless eq.: 0,066 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17889 games), played 2-ply (precise), random seed, with race database.
3	3	8/1	0,073 (-0,135)
4	3	13/6	0,073 (-0,135)
5	3	8/2 6/5	0,047 (-0,161)

Move 9 Green		Pip: 118
		Game 3 19 point match Green-White: Score 3-0
		Pip: 135

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,056
	0,3% 9,7% 46,4% 53,6% 8,0% 0,3%
1.	No double	-0,097
2.	Double, take	-0,529	(-0,431)
3.	Double, pass	1,000	(+1,097)
Proper cube action: No double, take			28%

#	Ply	Move	Equity
1	R	8/4 6/5	-0,117
		95% confidence interval: - money cubeless eq.: -0,056 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15315 games), played 2-ply (precise), random seed, with race database.
*2	R	13/8	-0,133 (-0,016)
		95% confidence interval: - money cubeless eq.: -0,079 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21009 games), played 2-ply (precise), random seed, with race database.
3	3	13/9 6/5	-0,208 (-0,092)
4	3	13/9 5/4	-0,213 (-0,096)
5	3	6/2 5/4	-0,213 (-0,097)

Move 9 White		Pip: 118
		Game 3 19 point match Green-White: Score 3-0
		Pip: 130

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,066
	0,3% 8,5% 54,0% 46,0% 9,9% 0,3%
1.	No double	0,117
2.	Double, take	-0,137	(-0,254)
3.	Double, pass	1,000	(+0,883)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	3	18/14(2) 13/9(2)	0,767
2	3	18/10(2)	0,679 (-0,089)
3	1	18/14(2) 14/6	0,232 (-0,535)
4	1	18/14(2) 6/2 5/1	0,191 (-0,576)
5	1	18/14(2) 13/5	0,139 (-0,628)

Alert: Joker (0,538)

Move 10 Green		Pip: 102
		Game 3 19 point match Green-White: Score 3-0
		Pip: 130

#	Ply	Move	Equity
1	R	8/4 8/6	-0,799
		95% confidence interval: - money cubeless eq.: -0,479 �0,012. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 24463 games), played 2-ply (precise), random seed, with race database.
*2	R	8/4 6/4	-0,805 (-0,005)
		95% confidence interval: - money cubeless eq.: -0,481 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 25684 games), played 2-ply (precise), random seed, with race database.
3	R	8/2	-0,819 (-0,020)
		95% confidence interval: - money cubeless eq.: -0,486 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 31169 games), played 2-ply (precise), random seed, with race database.
4	3	8/4 3/1	-0,797 ( 0,002)
5	3	6/2 4/2	-0,838 (-0,038)

Move 10 White		Pip: 102
		Game 3 19 point match Green-White: Score 3-0
		Pip: 124

Cube action equity		Alert: Missed double
Rollout	Money equity:	0,485
	0,1% 3,2% 73,5% 26,5% 1,9% 0,0%
	95% confidence interval: - money cubeless eq.: 0,485 �0,011, - live cube no double: 0,762 �0,025, - live cube double take: 0,820 �0,029. Rollout settings: Full rollout, 324 games (equiv. 29909 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, take	0,804
2.	No double	0,749	(-0,055)
3.	Double, pass	1,000	(+0,196)
Proper cube action: Double, take
Live cube
1.	Double, take	0,820
2.	No double	0,762	(-0,058)
3.	Double, pass	1,000	(+0,180)
Proper cube action: Double, take

#	Ply	Move	Equity
1	3	9/6 9/8	0,698
*2	3	5/1	0,655 (-0,043)
3	3	6/3 2/1	0,636 (-0,062)
4	2	6/2	0,479 (-0,219)
5	2	5/2 3/2	0,412 (-0,286)

Move 11 Green		Pip: 98
		Game 3 19 point match Green-White: Score 3-0
		Pip: 124

#	Ply	Move	Equity
*1	R	8/2	-0,721
		95% confidence interval: - money cubeless eq.: -0,444 �0,013. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 23108 games), played 2-ply (precise), random seed, with race database.
2	R	13/7	-0,816 (-0,095)
		95% confidence interval: - money cubeless eq.: -0,481 �0,015. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 14831 games), played 2-ply (precise), random seed, with race database.
3	3	8/3 8/7	-0,696 ( 0,025)
4	2	13/8 4/3	-0,784 (-0,063)
5	2	13/8 13/12	-0,803 (-0,082)

Move 11 White		Pip: 98
		Game 3 19 point match Green-White: Score 3-0
		Pip: 118

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,444
	0,1% 3,5% 71,8% 28,2% 2,7% 0,1%
	95% confidence interval: - money cubeless eq.: 0,444 �0,012, - live cube no double: 0,737 �0,024, - live cube double take: 0,749 �0,033. Rollout settings: Full rollout, 324 games (equiv. 26256 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, take	0,714
2.	No double	0,695	(-0,019)
3.	Double, pass	1,000	(+0,286)
Proper cube action: Double, take
Live cube
1.	Double, take	0,749
2.	No double	0,737	(-0,012)
3.	Double, pass	1,000	(+0,251)
Proper cube action: Double, take

#	Ply	Move	Equity
*1	2	9/5 9/6	0,637
2	2	5/1 5/2	0,295 (-0,342)
3	1	8/1	0,157 (-0,480)
4	1	9/5 6/3	0,155 (-0,482)
5	1	14/10 14/11	0,150 (-0,487)

Move 12 Green		Pip: 91
		Game 3 19 point match Green-White: Score 3-0
		Pip: 118

#	Ply	Move	Equity
*1	3	13/9 8/3	-0,669
2	3	13/4	-0,735 (-0,066)
3	3	13/8 6/2	-0,784 (-0,115)
4	3	8/3 6/2	-0,820 (-0,151)
5	3	13/8 13/9	-0,832 (-0,163)

		Pip: 91
		Game 3 19 point match Green-White: Score 3-0
		Pip: 109

	White	Double
12.	Green	Take

Cube action equity
Rollout	Money equity:	0,450
	0,2% 5,2% 71,6% 28,4% 3,4% 0,1%
	95% confidence interval: - money cubeless eq.: 0,450 �0,012, - live cube no double: 0,698 �0,025, - live cube double take: 0,756 �0,029. Rollout settings: Full rollout, 324 games (equiv. 29392 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, take	0,731
2.	No double	0,658	(-0,073)
3.	Double, pass	1,000	(+0,269)
Proper cube action: Double, take
Live cube
1.	Double, take	0,756
2.	No double	0,698	(-0,057)
3.	Double, pass	1,000	(+0,244)
Proper cube action: Double, take

Move 13 White		Pip: 91
		Game 3 19 point match Green-White: Score 3-0
		Pip: 109

#	Ply	Move	Equity
*1	3	6/3 5/1	0,389
2	3	6/2 6/3	0,329 (-0,060)
3	2	6/2 5/2	0,181 (-0,208)
4	1	8/1	-0,020 (-0,409)
5	1	14/11 5/1	-0,044 (-0,433)

Move 14 Green		Pip: 84
		Game 3 19 point match Green-White: Score 3-0
		Pip: 109

#	Ply	Move	Equity
1	R	13/9 4/2	-0,386
		95% confidence interval: - money cubeless eq.: -0,463 �0,010. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 34264 games), played 2-ply (precise), random seed, with race database.
*2	R	9/5 4/2	-0,440 (-0,054)
		95% confidence interval: - money cubeless eq.: -0,512 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 33100 games), played 2-ply (precise), random seed, with race database.
3	3	13/7	-0,443 (-0,057)
4	3	13/9 3/1	-0,472 (-0,086)
5	2	9/5 3/1	-0,570 (-0,184)

Move 14 White		Pip: 84
		Game 3 19 point match Green-White: Score 3-0
		Pip: 103

#	Ply	Move	Equity
*1	1	5/1 5/2	0,114
2	1	8/1	-0,202 (-0,316)
3	1	8/5 6/2	-0,208 (-0,321)
4	1	14/10 14/11	-0,214 (-0,328)
5	1	6/2 6/3	-0,252 (-0,365)

Move 15 Green		Pip: 77
		Game 3 19 point match Green-White: Score 3-0
		Pip: 103

#	Ply	Move	Equity
1	R	5/4 3/1	-0,143
		95% confidence interval: - money cubeless eq.: -0,240 �0,013. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 30064 games), played 2-ply (precise), random seed, with race database.
*2	R	13/10	-0,155 (-0,012)
		95% confidence interval: - money cubeless eq.: -0,246 �0,010. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 41555 games), played 2-ply (precise), random seed, with race database.
3	3	13/12 3/1	-0,151 (-0,008)
4	3	5/2	-0,156 (-0,014)
5	3	3/1 2/1	-0,161 (-0,018)

Move 15 White		Pip: 77
		Game 3 19 point match Green-White: Score 3-0
		Pip: 100

#	Ply	Move	Equity
*1	3	6/1	0,046
2	3	14/11 14/12	-0,067 (-0,113)
3	3	14/12 6/3	-0,068 (-0,114)
4	1	14/11 3/1	-0,298 (-0,345)
5	1	8/5 8/6	-0,312 (-0,358)

Move 16 Green		Pip: 72
		Game 3 19 point match Green-White: Score 3-0
		Pip: 100

#	Ply	Move	Equity
*1	R	21/10	-0,074
		95% confidence interval: - money cubeless eq.: -0,175 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 32478 games), played 2-ply (precise), random seed, with race database.
2	R	21/15 10/5	-0,085 (-0,011)
		95% confidence interval: - money cubeless eq.: -0,183 �0,015. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 23172 games), played 2-ply (precise), random seed, with race database.
3	3	21/16 10/4	-0,131 (-0,057)
4	3	10/4 6/1	-0,172 (-0,097)
5	2	21/15 6/1	-0,303 (-0,229)

Move 16 White		Pip: 72
		Game 3 19 point match Green-White: Score 3-0
		Pip: 89

#	Ply	Move	Equity
*1	3	14/6	0,227
2	3	14/8 14/12	0,151 (-0,077)
3	2	14/8 3/1	-0,045 (-0,273)
4	2	8/2 8/6	-0,070 (-0,297)
5	1	8/2 3/1	-0,687 (-0,915)

Move 17 Green		Pip: 64
		Game 3 19 point match Green-White: Score 3-0
		Pip: 89

#	Ply	Move	Equity
*1	3	5/1 3/1	-0,331
2	3	10/6 3/1	-0,356 (-0,025)
3	3	10/8 5/1	-0,372 (-0,041)
4	3	10/6 10/8	-0,378 (-0,046)
5	3	10/6 5/3	-0,381 (-0,050)

Move 17 White		Pip: 64
		Game 3 19 point match Green-White: Score 3-0
		Pip: 83

#	Ply	Move	Equity
*1	1	14/8 6/3	0,344
2	1	14/5	-0,104 (-0,447)
3	1	8/2 8/5	-0,419 (-0,763)
4	1	8/2 6/3	-0,469 (-0,813)
5	1	14/11 8/2	-0,500 (-0,844)

Move 18 Green		Pip: 55
		Game 3 19 point match Green-White: Score 3-0
		Pip: 83

#	Ply	Move	Equity
*1	3	10/6 10/8	-0,309
2	3	10/4	-0,329 (-0,020)
3	3	10/6 4/2	-0,393 (-0,084)
4	3	10/6 5/3	-0,393 (-0,084)
5	3	10/6 3/1	-0,401 (-0,092)

Move 18 White		Pip: 55
		Game 3 19 point match Green-White: Score 3-0
		Pip: 77

#	Ply	Move	Equity
*1	2	8/4*/2	0,516
2	2	8/2	0,357 (-0,159)
3	1	8/4* 8/6	-0,061 (-0,577)
4	1	6/2 6/4*	-0,103 (-0,619)
5	1	8/4* 6/4	-0,110 (-0,626)

Move 19 Green		Pip: 49
		Game 3 19 point match Green-White: Score 3-0
		Pip: 81

#	Ply	Move	Equity
*1	3	bar/21 8/7	-0,438
2	3	bar/21 6/5	-0,450 (-0,012)
3	3	bar/21 2/1	-0,501 (-0,063)
4	3	bar/21 3/2	-0,511 (-0,073)
5	3	bar/21 5/4	-0,520 (-0,082)

Move 19 White		Pip: 49
		Game 3 19 point match Green-White: Score 3-0
		Pip: 76

#	Ply	Move	Equity
*1	1	8/2 8/6	0,692
2	1	8/2 3/1	-0,048 (-0,741)
3	1	8/2 6/4*	-0,739 (-1,432)

Move 20 Green		Pip: 41
		Game 3 19 point match Green-White: Score 3-0
		Pip: 76

#	Ply	Move	Equity
1	3	7/3 6/3	-0,750
*2	3	7/4 6/2	-0,751 (-0,001)
3	3	6/2 6/3	-0,777 (-0,026)
4	3	7/4 5/1	-0,785 (-0,035)
5	3	7/3 5/2	-0,787 (-0,037)

Move 20 White		Pip: 41
		Game 3 19 point match Green-White: Score 3-0
		Pip: 69

#	Ply	Move	Equity
*1	1	6/off 3/off	0,850
2	1	6/off 6/3	0,277 (-0,573)

Move 21 Green		Pip: 32
		Game 3 19 point match Green-White: Score 3-0
		Pip: 69

#	Ply	Move	Equity
1	3	21/15 6/5	-0,961
*2	3	21/14	-0,963 (-0,002)
3	3	21/15 5/4	-0,964 (-0,003)
4	3	21/15 4/3	-0,964 (-0,003)
5	3	21/15 3/2	-0,965 (-0,004)

Move 21 White		Pip: 32
		Game 3 19 point match Green-White: Score 3-0
		Pip: 62

#	Ply	Move	Equity
*1	3	6/off 1/off	0,984
2	3	6/off 6/5	0,969 (-0,015)
3	3	6/off 2/1	0,948 (-0,035)
4	3	6/off 3/2	0,946 (-0,038)

Move 22 Green		Pip: 25
		Game 3 19 point match Green-White: Score 3-0
		Pip: 62

#	Ply	Move	Equity
*1	D	14/6 4/off(2)	-0,942
2	D	14/2 4/off	-0,953 (-0,011)
3	D	14/6 5/1 4/off	-0,964 (-0,022)
4	D	14/6 6/2(2)	-0,981 (-0,040)
5	D	14/2 5/1	-0,986 (-0,044)

Move 22 White		Pip: 25
		Game 3 19 point match Green-White: Score 3-0
		Pip: 46

#	Ply	Move	Equity
*1	D	6/off	0,929
2	D	6/1 2/1	0,703 (-0,226)
3	D	6/1 3/2	0,700 (-0,229)

Move 23 Green		Pip: 19
		Game 3 19 point match Green-White: Score 3-0
		Pip: 46

#	Ply	Move	Equity
*1	D	6/4 2/off(3)	-0,884
2	D	4/2 2/off(3)	-0,900 (-0,016)
3	D	3/1 2/off(3)	-0,909 (-0,026)
4	D	5/3 2/off(3)	-0,914 (-0,030)
5	D	6/4(2) 2/off(2)	-0,930 (-0,046)

Move 23 White		Pip: 19
		Game 3 19 point match Green-White: Score 3-0
		Pip: 38

#	Ply	Move	Equity
*1	1	3/off(2)	0,880

Move 24 Green		Pip: 13
		Game 3 19 point match Green-White: Score 3-0
		Pip: 38

#	Ply	Move	Equity
*1	D	6/4 1/off	-0,968
2	D	4/2 1/off	-0,978 (-0,010)
3	D	5/3 1/off	-0,978 (-0,010)
4	D	6/4 6/5	-0,981 (-0,013)
5	D	3/off	-0,983 (-0,015)

Move 24 White		Pip: 13
		Game 3 19 point match Green-White: Score 3-0
		Pip: 35

#	Ply	Move	Equity
*1	1	2/off(2)	0,967

Move 25 Green		Pip: 9
		Game 3 19 point match Green-White: Score 3-0
		Pip: 35

#	Ply	Move	Equity
*1	D	6/off 1/off	-0,987
2	D	6/off 5/4	-0,990 (-0,003)
3	D	6/off 4/3	-0,990 (-0,003)
4	D	6/off 3/2	-0,992 (-0,005)
5	D	6/off	-0,992 (-0,005)

Move 25 White		Pip: 9
		Game 3 19 point match Green-White: Score 3-0
		Pip: 28

#	Ply	Move	Equity
*1	D	2/off 1/off	0,984
2	D	2/off 2/1	0,729 (-0,255)

Move 26 Green		Pip: 6
		Game 3 19 point match Green-White: Score 3-0
		Pip: 28

#	Ply	Move	Equity
1	D	5/3 3/2(2)	-1,000
2	D	5/4(2) 3/2(2)	-1,000 ( 0,000)
3	D	4/3 3/2(3)	-1,000 ( 0,000)
4	D	4/2(2)	-1,000 ( 0,000)
*13	D	4/off	-1,000 ( 0,000)

Move 26 White		Pip: 6
		Game 3 19 point match Green-White: Score 3-0
		Pip: 24

Groutsos wins 2 points.

Game 3 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	advanced
Overall	1,886	6,136
Checker play	1,886	4,664
Double	0,000	1,472
Take	0,000	0,000

Game 04 Match to 19. Score Green-White: 3-2

Move 1 White		Pip: 167
		Game 4 19 point match Green-White: Score 3-2
		Pip: 167

#	Ply	Move	Equity
*1	3	24/20 13/8	0,039
2	3	13/8 13/9	0,023 (-0,016)
3	3	24/15	0,012 (-0,026)
4	3	13/4	-0,038 (-0,076)
5	3	13/8 6/2	-0,089 (-0,128)

Move 2 Green		Pip: 158
		Game 4 19 point match Green-White: Score 3-2
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,019
	0,6% 13,4% 49,3% 50,7% 13,8% 0,7%
1.	No double	-0,036
2.	Double, take	-0,411	(-0,375)
3.	Double, pass	1,000	(+1,036)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	3	13/8 6/5*	-0,073
2	3	6/1* 6/5*	-0,143 (-0,071)
3	3	24/23 13/8	-0,186 (-0,114)
4	3	24/18	-0,221 (-0,148)
5	2	24/23 6/1*	-0,235 (-0,162)

Move 2 White		Pip: 163
		Game 4 19 point match Green-White: Score 3-2
		Pip: 161

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,047
	0,7% 14,4% 51,5% 48,5% 13,0% 0,5%
1.	No double	0,066
2.	Double, take	-0,218	(-0,284)
3.	Double, pass	1,000	(+0,934)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
*1	3	bar/20*/14	0,233
2	3	bar/20* 24/18	0,187 (-0,046)
3	3	bar/20* 13/7	0,159 (-0,073)
4	2	bar/20* 8/2	0,056 (-0,176)

Move 3 Green		Pip: 152
		Game 4 19 point match Green-White: Score 3-2
		Pip: 181

#	Ply	Move	Equity
*1	2	bar/24 13/11*	-0,152
2	2	bar/23 6/5	-0,331 (-0,179)
3	2	bar/23 24/23	-0,341 (-0,189)
4	2	bar/22	-0,352 (-0,200)
5	2	bar/23 8/7	-0,375 (-0,222)

Move 3 White		Pip: 163
		Game 4 19 point match Green-White: Score 3-2
		Pip: 178

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,114
	0,9% 16,7% 53,5% 46,5% 12,7% 0,6%
1.	No double	0,157
2.	Double, take	-0,066	(-0,223)
3.	Double, pass	1,000	(+0,843)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
1	R	bar/21 6/5	0,111
		95% confidence interval: - money cubeless eq.: 0,079 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 39974 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/21 24/23	0,101 (-0,011)
		95% confidence interval: - money cubeless eq.: 0,069 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 35987 games), played 2-ply (precise), random seed, with race database.
3	R	bar/24 13/9	0,085 (-0,027)
		95% confidence interval: - money cubeless eq.: 0,058 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 38759 games), played 2-ply (precise), random seed, with race database.
4	R	bar/20	0,070 (-0,042)
		95% confidence interval: - money cubeless eq.: 0,045 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 50230 games), played 2-ply (precise), random seed, with race database.
5	3	bar/21 8/7	0,039 (-0,073)

Move 4 Green		Pip: 158
		Game 4 19 point match Green-White: Score 3-2
		Pip: 178

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,059
	0,7% 12,9% 48,3% 51,7% 15,3% 0,8%
1.	No double	-0,088
2.	Double, take	-0,500	(-0,413)
3.	Double, pass	1,000	(+1,088)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	R	11/7 8/7	-0,161
		95% confidence interval: - money cubeless eq.: -0,113 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 31334 games), played 2-ply (precise), random seed, with race database.
2	R	24/23 8/4*	-0,211 (-0,050)
		95% confidence interval: - money cubeless eq.: -0,157 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 34055 games), played 2-ply (precise), random seed, with race database.
3	3	11/10 8/4*	-0,231 (-0,070)
4	3	24/20 6/5	-0,247 (-0,087)
5	3	8/4*/3	-0,252 (-0,092)

Move 4 White		Pip: 158
		Game 4 19 point match Green-White: Score 3-2
		Pip: 173

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,116
	0,9% 16,0% 53,9% 46,1% 12,5% 0,6%
1.	No double	0,165
2.	Double, take	-0,059	(-0,225)
3.	Double, pass	1,000	(+0,835)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
*1	2	21/9 13/7(2)	0,378
2	2	13/7(2) 8/2(2)	0,208 (-0,170)
3	2	21/9 8/2(2)	0,170 (-0,208)
4	2	13/7(4)	0,147 (-0,232)
5	2	21/15 13/7(3)	0,143 (-0,235)

Move 5 Green		Pip: 134
		Game 4 19 point match Green-White: Score 3-2
		Pip: 173

#	Ply	Move	Equity
*1	3	8/4 6/4	-0,425
2	3	24/22 6/2*	-0,501 (-0,077)
3	3	24/20 6/4	-0,544 (-0,119)
4	3	24/22 13/9	-0,546 (-0,122)
5	3	24/20 13/11	-0,548 (-0,123)

Move 5 White		Pip: 134
		Game 4 19 point match Green-White: Score 3-2
		Pip: 167

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,296
	1,5% 20,2% 59,3% 40,7% 10,3% 0,4%
1.	No double	0,436
2.	Double, take	0,342	(-0,095)
3.	Double, pass	1,000	(+0,564)
Proper cube action: No double, take			14%

#	Ply	Move	Equity
*1	3	23/20 9/7	0,244
2	3	23/20 6/4	0,109 (-0,135)
3	3	23/20 8/6	0,100 (-0,144)
4	3	9/7 6/3	0,059 (-0,185)
5	3	8/5 7/5	0,056 (-0,188)

Move 6 Green		Pip: 129
		Game 4 19 point match Green-White: Score 3-2
		Pip: 167

#	Ply	Move	Equity
1	R	13/7 8/3	-0,862
		95% confidence interval: - money cubeless eq.: -0,522 �0,014. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 26246 games), played 2-ply (precise), random seed, with race database.
*2	R	13/2	-0,922 (-0,060)
		95% confidence interval: - money cubeless eq.: -0,545 �0,013. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 27192 games), played 2-ply (precise), random seed, with race database.
3	3	8/2 7/2	-0,894 (-0,033)
4	3	13/7 13/8	-0,945 (-0,083)
5	3	8/2 8/3	-1,000 (-0,138)

Alert: Anti-joker (0,529)

Move 6 White		Pip: 129
		Game 4 19 point match Green-White: Score 3-2
		Pip: 156

Cube action equity		Alert: Missed double
Rollout	Money equity:	0,562
	1,8% 19,4% 70,7% 29,3% 6,2% 0,1%
	95% confidence interval: - money cubeless eq.: 0,562 �0,022, - live cube no double: 0,875 �0,045, - live cube double take: 0,927 �0,066. Rollout settings: Full rollout, 324 games (equiv. 9023 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, take	0,956
2.	No double	0,863	(-0,093)
3.	Double, pass	1,000	(+0,044)
Proper cube action: Double, take
Live cube
1.	Double, take	0,927
2.	No double	0,875	(-0,052)
3.	Double, pass	1,000	(+0,073)
Proper cube action: Double, take

#	Ply	Move	Equity
*1	2	20/11	0,902
2	2	8/3 7/3	0,552 (-0,350)
3	1	20/15 8/4	0,405 (-0,498)
4	1	7/2 6/2	0,337 (-0,566)
5	1	20/15 13/9	0,325 (-0,577)

Move 7 Green		Pip: 120
		Game 4 19 point match Green-White: Score 3-2
		Pip: 156

#	Ply	Move	Equity
*1	3	24/22 7/2	-1,000
2	3	7/2 7/5	-1,000 (-0,000)
3	3	24/22 8/3	-1,000 (-0,000)
4	3	8/3 7/5	-1,000 (-0,000)
5	3	24/22 13/8	-1,000 (-0,000)

		Pip: 120
		Game 4 19 point match Green-White: Score 3-2
		Pip: 149

	White	Double
7.	Green	Pass

Cube action equity
Rollout	Money equity:	0,614
	1,1% 15,2% 74,6% 25,4% 4,0% 0,1%
	95% confidence interval: - money cubeless eq.: 0,614 �0,019, - live cube no double: 0,904 �0,023, - live cube double take: 1,091 �0,044. Rollout settings: Full rollout, 324 games (equiv. 12451 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, pass	1,000
2.	No double	0,915	(-0,085)
3.	Double, take	1,081	(+0,081)
Proper cube action: Double, pass
Live cube
1.	Double, pass	1,000
2.	No double	0,904	(-0,096)
3.	Double, take	1,091	(+0,091)
Proper cube action: Double, pass

Groutsos wins 1 point.

Game 4 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	expert	expert
Overall	5,004	5,216
Checker play	5,004	0,885
Double	0,000	4,331
Take	0,000	0,000

Game 05 Match to 19. Score Green-White: 3-3

Move 1 White		Pip: 167
		Game 5 19 point match Green-White: Score 3-3
		Pip: 167

#	Ply	Move	Equity
*1	3	24/18 13/10	0,013
2	3	24/15	0,006 (-0,007)
3	3	24/21 13/7	-0,035 (-0,048)
4	3	13/4	-0,045 (-0,058)
5	3	24/18 24/21	-0,049 (-0,062)

Move 2 Green		Pip: 158
		Game 5 19 point match Green-White: Score 3-3
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,004
	0,7% 13,9% 49,6% 50,4% 13,6% 0,7%
1.	No double	-0,010
2.	Double, take	-0,356	(-0,346)
3.	Double, pass	1,000	(+1,010)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	R	24/20 13/7*	0,015
		95% confidence interval: - money cubeless eq.: 0,012 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 40341 games), played 2-ply (precise), random seed, with race database.
2	R	13/7* 13/9	-0,017 (-0,032)
		95% confidence interval: - money cubeless eq.: -0,013 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 38075 games), played 2-ply (precise), random seed, with race database.
3	3	13/7*/3	-0,118 (-0,133)
4	2	8/2 6/2	-0,195 (-0,210)
5	2	13/7* 8/4	-0,200 (-0,215)

Move 2 White		Pip: 165
		Game 5 19 point match Green-White: Score 3-3
		Pip: 157

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,001
	0,7% 13,5% 50,0% 50,0% 13,8% 0,7%
1.	No double	-0,005
2.	Double, take	-0,347	(-0,343)
3.	Double, pass	1,000	(+1,005)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	1	bar/23 24/18*	0,063
2	1	bar/23 10/4	-0,273 (-0,336)
3	1	bar/23 13/7	-0,290 (-0,354)
4	1	bar/23 8/2	-0,399 (-0,463)

Move 3 Green		Pip: 157
		Game 5 19 point match Green-White: Score 3-3
		Pip: 175

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,044
	0,7% 12,9% 48,2% 51,8% 13,6% 0,7%
1.	No double	-0,063
2.	Double, take	-0,447	(-0,384)
3.	Double, pass	1,000	(+1,063)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	3	bar/20	-0,082
2	3	bar/22 24/22	-0,235 (-0,153)
3	2	bar/22 6/4	-0,311 (-0,229)
4	2	bar/22 20/18	-0,319 (-0,238)
5	2	bar/23 24/21	-0,319 (-0,238)

Move 3 White		Pip: 157
		Game 5 19 point match Green-White: Score 3-3
		Pip: 170

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,067
	0,6% 10,8% 53,4% 46,6% 11,0% 0,4%
1.	No double	0,093
2.	Double, take	-0,183	(-0,277)
3.	Double, pass	1,000	(+0,907)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
1	R	10/7 8/7	0,011
		95% confidence interval: - money cubeless eq.: 0,000 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 38301 games), played 2-ply (precise), random seed, with race database.
*2	R	23/22 13/10	-0,007 (-0,018)
		95% confidence interval: - money cubeless eq.: -0,014 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28698 games), played 2-ply (precise), random seed, with race database.
3	3	13/10 8/7	-0,094 (-0,105)
4	3	23/22 18/15	-0,100 (-0,111)
5	2	18/15 10/9	-0,129 (-0,141)

Move 4 Green		Pip: 153
		Game 5 19 point match Green-White: Score 3-3
		Pip: 170

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,004
	0,6% 13,5% 48,4% 51,6% 10,6% 0,7%
1.	No double	-0,017
2.	Double, take	-0,369	(-0,352)
3.	Double, pass	1,000	(+1,017)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	R	8/7* 6/3*	0,026
		95% confidence interval: - money cubeless eq.: 0,021 �0,012. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 49655 games), played 2-ply (precise), random seed, with race database.
2	R	8/5 6/5	0,024 (-0,002)
		95% confidence interval: - money cubeless eq.: 0,025 �0,014. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 35333 games), played 2-ply (precise), random seed, with race database.
3	3	13/10 8/7*	-0,104 (-0,131)
4	3	24/21 8/7*	-0,106 (-0,132)
5	2	6/3* 6/5	-0,172 (-0,198)

Move 4 White		Pip: 163
		Game 5 19 point match Green-White: Score 3-3
		Pip: 166

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,014
	0,7% 11,9% 51,5% 48,5% 13,6% 0,6%
1.	No double	0,021
2.	Double, take	-0,304	(-0,326)
3.	Double, pass	1,000	(+0,979)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	1	bar/22*	0,109

Move 5 Green		Pip: 160
		Game 5 19 point match Green-White: Score 3-3
		Pip: 188

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,079
	0,4% 11,7% 47,2% 52,8% 13,6% 0,7%
1.	No double	-0,109
2.	Double, take	-0,525	(-0,416)
3.	Double, pass	1,000	(+1,109)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
1	R	bar/16	-0,102
		95% confidence interval: - money cubeless eq.: -0,082 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 29883 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/21 13/8	-0,121 (-0,019)
		95% confidence interval: - money cubeless eq.: -0,092 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28300 games), played 2-ply (precise), random seed, with race database.
3	R	bar/20 7/3*	-0,137 (-0,035)
		95% confidence interval: - money cubeless eq.: -0,104 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 44153 games), played 2-ply (precise), random seed, with race database.
4	3	bar/20 13/9	-0,177 (-0,075)
5	3	bar/21 8/3*	-0,201 (-0,099)

Move 5 White		Pip: 160
		Game 5 19 point match Green-White: Score 3-3
		Pip: 179

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,102
	0,9% 14,3% 53,6% 46,4% 11,7% 0,5%
1.	No double	0,135
2.	Double, take	-0,111	(-0,246)
3.	Double, pass	1,000	(+0,865)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
1	R	bar/20 22/21	0,045
		95% confidence interval: - money cubeless eq.: 0,031 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28584 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/24 6/1*	0,032 (-0,013)
		95% confidence interval: - money cubeless eq.: 0,024 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25790 games), played 2-ply (precise), random seed, with race database.
3	R	bar/24 13/8	-0,004 (-0,049)
		95% confidence interval: - money cubeless eq.: -0,005 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28997 games), played 2-ply (precise), random seed, with race database.
4	3	bar/24 8/3	-0,087 (-0,132)
5	3	bar/20 8/7	-0,120 (-0,165)

Move 6 Green		Pip: 154
		Game 5 19 point match Green-White: Score 3-3
		Pip: 180

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,011
	0,5% 12,7% 49,6% 50,4% 12,8% 0,7%
1.	No double	-0,018
2.	Double, take	-0,371	(-0,353)
3.	Double, pass	1,000	(+1,018)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	R	bar/24* 6/3*	0,005
		95% confidence interval: - money cubeless eq.: 0,004 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 41903 games), played 2-ply (precise), random seed, with race database.
2	R	bar/22 8/7	-0,006 (-0,011)
		95% confidence interval: - money cubeless eq.: -0,011 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22255 games), played 2-ply (precise), random seed, with race database.
3	3	bar/24* 21/18	-0,073 (-0,078)
4	3	bar/24*/21	-0,088 (-0,093)
5	3	bar/24* 13/10	-0,110 (-0,115)

Move 6 White		Pip: 181
		Game 5 19 point match Green-White: Score 3-3
		Pip: 176

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,019
	0,9% 12,5% 50,0% 50,0% 14,5% 0,7%
1.	No double	-0,025
2.	Double, take	-0,381	(-0,357)
3.	Double, pass	1,000	(+1,025)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	2	bar/24(2) 24/22*	0,064
2	2	bar/23(2)	-0,115 (-0,180)
3	2	bar/24(2) 24/23 8/7	-0,196 (-0,261)
4	2	bar/24(2) 10/9(2)	-0,212 (-0,276)
5	1	bar/24(2) 8/7(2)	-0,263 (-0,328)

Move 7 Green		Pip: 177
		Game 5 19 point match Green-White: Score 3-3
		Pip: 198

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,061
	0,6% 12,2% 48,7% 51,3% 15,1% 1,2%
1.	No double	-0,081
2.	Double, take	-0,476	(-0,396)
3.	Double, pass	1,000	(+1,081)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	R	bar/20 7/3*	-0,182
		95% confidence interval: - money cubeless eq.: -0,140 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 52651 games), played 2-ply (precise), random seed, with race database.
2	R	bar/16	-0,188 (-0,006)
		95% confidence interval: - money cubeless eq.: -0,148 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 46002 games), played 2-ply (precise), random seed, with race database.
3	R	bar/21 13/8	-0,203 (-0,021)
		95% confidence interval: - money cubeless eq.: -0,157 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 43914 games), played 2-ply (precise), random seed, with race database.
4	R	bar/21 8/3*	-0,206 (-0,024)
		95% confidence interval: - money cubeless eq.: -0,162 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 42948 games), played 2-ply (precise), random seed, with race database.
5	3	bar/21 7/2	-0,229 (-0,047)

Move 7 White		Pip: 180
		Game 5 19 point match Green-White: Score 3-3
		Pip: 189

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,078
	1,3% 15,3% 52,0% 48,0% 12,2% 0,6%
1.	No double	0,097
2.	Double, take	-0,173	(-0,270)
3.	Double, pass	1,000	(+0,903)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
*1	1	Can't move	-0,047

Move 8 Green		Pip: 180
		Game 5 19 point match Green-White: Score 3-3
		Pip: 189

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,039
	0,7% 14,4% 50,9% 49,1% 12,2% 0,9%
1.	No double	0,047
2.	Double, take	-0,259	(-0,306)
3.	Double, pass	1,000	(+0,953)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
*1	R	21/18 8/5(2) 6/3	0,285
		95% confidence interval: - money cubeless eq.: 0,216 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 37304 games), played 2-ply (precise), random seed, with race database.
2	R	13/10 8/5(2) 6/3	0,274 (-0,011)
		95% confidence interval: - money cubeless eq.: 0,208 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 35354 games), played 2-ply (precise), random seed, with race database.
3	R	24/21 8/5(2) 6/3	0,247 (-0,038)
		95% confidence interval: - money cubeless eq.: 0,188 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24499 games), played 2-ply (precise), random seed, with race database.
4	3	8/5(3) 6/3	0,233 (-0,052)
5	2	24/21 21/18(2) 6/3	0,109 (-0,176)

Move 8 White		Pip: 180
		Game 5 19 point match Green-White: Score 3-3
		Pip: 177

#	Ply	Move	Equity
*1	3	bar/18	-0,329
2	3	bar/24 13/7*	-0,457 (-0,128)
3	2	bar/24 8/2	-0,591 (-0,262)
4	1	bar/24 10/4	-0,871 (-0,542)

Move 9 Green		Pip: 173
		Game 5 19 point match Green-White: Score 3-3
		Pip: 177

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,246
	1,3% 19,9% 57,3% 42,7% 10,4% 0,8%
1.	No double	0,340
2.	Double, take	0,208	(-0,132)
3.	Double, pass	1,000	(+0,660)
Proper cube action: No double, take			17%

#	Ply	Move	Equity
*1	3	20/18 13/8	0,263
2	3	18/16 13/8	0,201 (-0,063)
3	3	24/22 13/8	0,195 (-0,068)
4	3	18/13 8/6	0,176 (-0,087)
5	2	20/13	0,122 (-0,142)

Move 9 White		Pip: 173
		Game 5 19 point match Green-White: Score 3-3
		Pip: 170

#	Ply	Move	Equity
*1	3	24/21 18/14	-0,368
2	3	18/14 13/10	-0,523 (-0,155)
3	3	18/11	-0,544 (-0,176)
4	2	24/21 6/2	-0,573 (-0,205)
5	2	18/14 6/3	-0,592 (-0,224)

Move 10 Green		Pip: 166
		Game 5 19 point match Green-White: Score 3-3
		Pip: 170

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,276
	1,1% 20,4% 58,0% 42,0% 9,4% 0,5%
1.	No double	0,388
2.	Double, take	0,273	(-0,114)
3.	Double, pass	1,000	(+0,612)
Proper cube action: No double, take			16%

#	Ply	Move	Equity
*1	3	20/11*	0,483
2	3	13/4*	0,359 (-0,125)
3	2	18/13 8/4*	0,324 (-0,159)
4	2	24/20 18/13	0,187 (-0,296)
5	2	18/13 18/14	0,179 (-0,305)

Move 10 White		Pip: 177
		Game 5 19 point match Green-White: Score 3-3
		Pip: 161

#	Ply	Move	Equity
*1	3	bar/24 13/8	-0,556
2	3	bar/24 6/1*	-0,647 (-0,092)
3	3	bar/24 21/16	-0,664 (-0,108)
4	2	bar/24 8/3	-0,750 (-0,194)
5	2	bar/24 10/5*	-0,792 (-0,236)

Move 11 Green		Pip: 171
		Game 5 19 point match Green-White: Score 3-3
		Pip: 161

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,402
	2,5% 23,3% 62,1% 37,9% 9,3% 0,6%
	95% confidence interval: - money cubeless eq.: 0,402 �0,029, - live cube no double: 0,576 �0,065, - live cube double take: 0,515 �0,108. Rollout settings: Full rollout, 324 games (equiv. 8550 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,576
2.	Double, take	0,561	(-0,015)
3.	Double, pass	1,000	(+0,424)
Proper cube action: No double, take			3%
Live cube
1.	No double	0,576
2.	Double, take	0,515	(-0,062)
3.	Double, pass	1,000	(+0,424)
Proper cube action: No double, take			13%

#	Ply	Move	Equity
*1	3	20/14 11/6	0,602
2	3	24/18 11/6	0,538 (-0,064)
3	3	24/13	0,494 (-0,108)
4	3	20/9	0,468 (-0,134)
5	3	20/14 13/8	0,460 (-0,142)

Move 11 White		Pip: 171
		Game 5 19 point match Green-White: Score 3-3
		Pip: 150

#	Ply	Move	Equity
1	3	21/16 8/4	-1,000
2	3	10/5 10/6	-1,000 (-0,000)
3	3	8/4 6/1*	-1,000 (-0,000)
4	3	21/16 6/2	-1,000 (-0,000)
*8	3	10/1*	-1,000 (-0,000)

Alert: Anti-joker (0,509)

		Pip: 162
		Game 5 19 point match Green-White: Score 3-3
		Pip: 151

12.	Green	Double
	White	Pass

Cube action equity
Rollout	Money equity:	0,737
	4,9% 32,4% 71,3% 28,7% 5,8% 0,3%
	95% confidence interval: - money cubeless eq.: 0,737 �0,033, - live cube no double: 0,962 �0,049, - live cube double take: 1,299 �0,086. Rollout settings: Full rollout, 324 games (equiv. 6246 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, pass	1,000
2.	No double	0,977	(-0,023)
3.	Double, take	1,315	(+0,315)
Proper cube action: Double, pass
Live cube
1.	Double, pass	1,000
2.	No double	0,962	(-0,038)
3.	Double, take	1,299	(+0,299)
Proper cube action: Double, pass

Michihito wins 1 point.

Game 5 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	extra-terrestrial	world class
Overall	0,892	1,449
Checker play	0,892	1,449
Double	0,000	0,000
Take	0,000	0,000

Game 06 Match to 19. Score Green-White: 4-3

Move 1 White		Pip: 167
		Game 6 19 point match Green-White: Score 4-3
		Pip: 167

#	Ply	Move	Equity
*1	3	8/4 6/4	0,170
2	3	24/20 13/11	0,029 (-0,141)
3	3	13/9 13/11	0,025 (-0,145)
4	3	24/22 13/9	0,021 (-0,149)
5	2	24/20 24/22	-0,024 (-0,194)

Move 2 Green		Pip: 161
		Game 6 19 point match Green-White: Score 4-3
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,116
	0,6% 12,7% 46,4% 53,6% 16,9% 0,9%
1.	No double	-0,167
2.	Double, take	-0,638	(-0,471)
3.	Double, pass	1,000	(+1,167)
Proper cube action: No double, take			29%

#	Ply	Move	Equity
*1	R	24/14	-0,278
		95% confidence interval: - money cubeless eq.: -0,198 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27452 games), played 2-ply (precise), random seed, with race database.
2	R	8/2 6/2	-0,302 (-0,024)
		95% confidence interval: - money cubeless eq.: -0,205 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27364 games), played 2-ply (precise), random seed, with race database.
3	R	24/18 13/9	-0,314 (-0,037)
		95% confidence interval: - money cubeless eq.: -0,220 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 40778 games), played 2-ply (precise), random seed, with race database.
4	3	24/20 13/7	-0,346 (-0,069)
5	3	24/18 24/20	-0,357 (-0,080)

Move 2 White		Pip: 161
		Game 6 19 point match Green-White: Score 4-3
		Pip: 157

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,203
	0,8% 18,4% 56,0% 44,0% 10,3% 0,5%
1.	No double	0,285
2.	Double, take	0,135	(-0,150)
3.	Double, pass	1,000	(+0,715)
Proper cube action: No double, take			17%

#	Ply	Move	Equity
*1	R	24/23 13/9	0,122
		95% confidence interval: - money cubeless eq.: 0,088 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 29259 games), played 2-ply (precise), random seed, with race database.
2	R	13/9 6/5	0,107 (-0,015)
		95% confidence interval: - money cubeless eq.: 0,075 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23946 games), played 2-ply (precise), random seed, with race database.
3	R	24/20 24/23	0,090 (-0,032)
		95% confidence interval: - money cubeless eq.: 0,064 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27629 games), played 2-ply (precise), random seed, with race database.
4	3	13/8	0,066 (-0,056)
5	3	24/20 6/5	0,050 (-0,072)

Move 3 Green		Pip: 156
		Game 6 19 point match Green-White: Score 4-3
		Pip: 157

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,073
	0,7% 11,8% 48,6% 51,4% 16,1% 0,7%
1.	No double	-0,105
2.	Double, take	-0,532	(-0,427)
3.	Double, pass	1,000	(+1,105)
Proper cube action: No double, take			28%

#	Ply	Move	Equity
*1	3	14/8 13/7(3)	0,227
2	3	24/18 14/8 13/7(2)	0,139 (-0,088)
3	3	24/18 14/8 8/2*(2)	0,056 (-0,171)
4	3	13/7(2) 8/2*(2)	0,040 (-0,187)
5	2	13/1*(2)	0,009 (-0,218)

Move 3 White		Pip: 156
		Game 6 19 point match Green-White: Score 4-3
		Pip: 133

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,092
	0,4% 12,9% 46,5% 53,5% 14,9% 0,7%
1.	No double	-0,119
2.	Double, take	-0,527	(-0,408)
3.	Double, pass	1,000	(+1,119)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	3	13/7 9/7	-0,223
2	3	23/15	-0,329 (-0,107)
3	3	24/16	-0,374 (-0,152)
4	2	9/1*	-0,362 (-0,139)
5	2	13/5	-0,402 (-0,180)

Move 4 Green		Pip: 148
		Game 6 19 point match Green-White: Score 4-3
		Pip: 133

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,163
	0,7% 16,1% 55,8% 44,2% 11,6% 0,4%
1.	No double	0,223
2.	Double, take	0,001	(-0,221)
3.	Double, pass	1,000	(+0,777)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	1	8/4 6/4	0,283
2	1	24/20 8/6	-0,076 (-0,359)
3	1	24/22 6/2*	-0,148 (-0,431)
4	1	24/20 6/4	-0,177 (-0,460)
5	1	8/2*	-0,248 (-0,531)

Move 4 White		Pip: 148
		Game 6 19 point match Green-White: Score 4-3
		Pip: 127

#	Ply	Move	Equity
*1	3	7/1* 6/1	-0,458
2	3	13/7 6/1*	-0,540 (-0,082)
3	2	13/7 13/8	-0,803 (-0,345)
4	1	13/2	-0,828 (-0,370)
5	1	13/8 7/1*	-0,936 (-0,478)

Move 5 Green		Pip: 137
		Game 6 19 point match Green-White: Score 4-3
		Pip: 128

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,328
	1,0% 18,4% 63,0% 37,0% 12,0% 0,4%
1.	No double	0,471
2.	Double, take	0,394	(-0,077)
3.	Double, pass	1,000	(+0,529)
Proper cube action: No double, take			13%

#	Ply	Move	Equity
*1	1	Can't move	0,089

Move 5 White		Pip: 137
		Game 6 19 point match Green-White: Score 4-3
		Pip: 128

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,065
	0,5% 15,9% 46,2% 53,8% 14,6% 0,7%
1.	No double	-0,089
2.	Double, take	-0,475	(-0,386)
3.	Double, pass	1,000	(+1,089)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	3	13/7	-0,289
2	3	23/22 13/8	-0,332 (-0,043)
3	3	13/8 7/6	-0,414 (-0,125)
4	3	24/23 13/8	-0,457 (-0,168)
5	2	23/22 7/2	-0,552 (-0,263)

Move 6 Green		Pip: 131
		Game 6 19 point match Green-White: Score 4-3
		Pip: 128

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,203
	0,8% 15,8% 59,1% 40,9% 14,0% 0,5%
1.	No double	0,299
2.	Double, take	0,110	(-0,189)
3.	Double, pass	1,000	(+0,701)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
*1	1	Can't move	-0,043

Move 6 White		Pip: 131
		Game 6 19 point match Green-White: Score 4-3
		Pip: 128

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,035
	0,6% 18,0% 49,3% 50,7% 13,2% 0,6%
1.	No double	0,043
2.	Double, take	-0,252	(-0,295)
3.	Double, pass	1,000	(+0,957)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
1	R	13/8 13/11	-0,209
		95% confidence interval: - money cubeless eq.: -0,144 �0,025. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11070 games), played 2-ply (precise), random seed, with race database.
*2	R	24/22 13/8	-0,267 (-0,058)
		95% confidence interval: - money cubeless eq.: -0,183 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12479 games), played 2-ply (precise), random seed, with race database.
3	3	13/6	-0,397 (-0,187)
4	2	13/8 6/4	-0,428 (-0,218)
5	2	24/22 8/3	-0,445 (-0,236)

Move 7 Green		Pip: 124
		Game 6 19 point match Green-White: Score 4-3
		Pip: 128

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,179
	0,8% 15,0% 58,6% 41,4% 14,7% 0,5%
1.	No double	0,261
2.	Double, take	0,060	(-0,201)
3.	Double, pass	1,000	(+0,739)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
*1	1	bar/22 13/12*	0,521
2	1	bar/22 8/7	0,115 (-0,406)
3	1	bar/22 7/6	0,083 (-0,438)
4	1	bar/22 6/5	-0,149 (-0,670)
5	1	bar/22 4/3*	-0,425 (-0,946)

Move 7 White		Pip: 136
		Game 6 19 point match Green-White: Score 4-3
		Pip: 124

#	Ply	Move	Equity
*1	2	bar/23 22/16	-0,793
2	2	bar/23 8/2	-1,000 (-0,207)
3	2	bar/23 7/1	-1,005 (-0,212)

Move 8 Green		Pip: 128
		Game 6 19 point match Green-White: Score 4-3
		Pip: 124

Cube action equity		Alert: Missed double
Rollout	Money equity:	0,541
	0,8% 14,9% 72,8% 27,2% 7,1% 0,1%
	95% confidence interval: - money cubeless eq.: 0,541 �0,025. Rollout settings: Full rollout, 283 games (equiv. 8504 games), played 2-ply (precise), random seed, with race database.
1.	Double, take	0,907
2.	No double	0,764	(-0,142)
3.	Double, pass	1,000	(+0,093)
Proper cube action: Double, take

#	Ply	Move	Equity
1	R	13/9*/7	0,844
		95% confidence interval: - money cubeless eq.: 0,548 �0,021. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 13177 games), played 2-ply (precise), random seed, with race database.
*2	R	22/20 13/9*	0,636 (-0,208)
		95% confidence interval: - money cubeless eq.: 0,473 �0,017. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 20401 games), played 2-ply (precise), random seed, with race database.
3	3	13/9* 12/10	0,720 (-0,124)
4	3	13/9* 6/4	0,709 (-0,135)
5	2	13/9* 8/6	0,607 (-0,237)

Alert: Blunder (0,208)

Move 8 White		Pip: 137
		Game 6 19 point match Green-White: Score 4-3
		Pip: 118

#	Ply	Move	Equity
1	3	bar/20 8/5*	-0,328
*2	3	bar/20 23/20	-0,620 (-0,291)
3	1	bar/20 6/3	-1,000 (-0,672)
4	1	bar/22 8/3	-1,000 (-0,672)
5	1	bar/20 7/4	-1,000 (-0,672)

Alert: Blunder (0,291)

Move 9 Green		Pip: 129
		Game 6 19 point match Green-White: Score 4-3
		Pip: 118

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,400
	0,3% 7,6% 68,9% 31,1% 5,7% 0,0%
	95% confidence interval: - money cubeless eq.: 0,400 �0,018, - live cube no double: 0,611 �0,045, - live cube double take: 0,563 �0,056. Rollout settings: Full rollout, 324 games (equiv. 13464 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,639
2.	Double, take	0,590	(-0,048)
3.	Double, pass	1,000	(+0,361)
Proper cube action: No double, take			12%
Live cube
1.	No double	0,611
2.	Double, take	0,563	(-0,048)
3.	Double, pass	1,000	(+0,389)
Proper cube action: No double, take			11%

#	Ply	Move	Equity
*1	R	12/9 8/7	0,450
		95% confidence interval: - money cubeless eq.: 0,293 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12279 games), played 2-ply (precise), random seed, with race database.
2	R	12/9 7/6	0,387 (-0,063)
		95% confidence interval: - money cubeless eq.: 0,261 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11034 games), played 2-ply (precise), random seed, with race database.
3	1	9/8 7/4	0,096 (-0,355)
4	1	9/6 8/7	0,042 (-0,408)
5	1	9/6 7/6	-0,037 (-0,487)

Move 9 White		Pip: 129
		Game 6 19 point match Green-White: Score 4-3
		Pip: 114

#	Ply	Move	Equity
*1	3	8/2 6/2	-0,759
2	3	7/1 7/3	-1,000 (-0,241)
3	3	8/2 7/3	-1,000 (-0,241)
4	3	8/2 8/4	-1,000 (-0,241)
5	3	8/4 7/1	-1,000 (-0,241)

Move 10 Green		Pip: 119
		Game 6 19 point match Green-White: Score 4-3
		Pip: 114

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,443
	0,3% 7,0% 70,3% 29,7% 3,4% 0,1%
	95% confidence interval: - money cubeless eq.: 0,443 �0,015. Rollout settings: Full rollout, 360 games (equiv. 17217 games), played 2-ply (precise), random seed, with race database.
1.	No double	0,700
2.	Double, take	0,690	(-0,010)
3.	Double, pass	1,000	(+0,300)
Proper cube action: No double, take			3%

#	Ply	Move	Equity
*1	3	7/4 6/4	0,492
2	3	6/1	0,400 (-0,092)
3	3	7/2*	0,302 (-0,190)
4	2	6/3 6/4	0,087 (-0,405)
5	2	9/6 9/7	0,052 (-0,440)

Move 10 White		Pip: 119
		Game 6 19 point match Green-White: Score 4-3
		Pip: 109

#	Ply	Move	Equity
1	R	8/2 8/4	-0,836
		95% confidence interval: - money cubeless eq.: -0,508 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 9779 games), played 2-ply (precise), random seed, with race database.
*2	R	7/1 7/3	-0,871 (-0,035)
		95% confidence interval: - money cubeless eq.: -0,524 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11734 games), played 2-ply (precise), random seed, with race database.
3	3	20/10	-1,000 (-0,164)
4	3	20/14 7/3	-1,000 (-0,164)
5	3	8/2 7/3	-1,000 (-0,164)

Alert: Anti-joker (0,514)

Move 11 Green		Pip: 109
		Game 6 19 point match Green-White: Score 4-3
		Pip: 109

Cube action equity		Alert: Missed double
Rollout	Money equity:	0,501
	0,3% 8,5% 71,7% 28,3% 2,1% 0,0%
	95% confidence interval: - money cubeless eq.: 0,501 �0,018. Rollout settings: Full rollout, 360 games (equiv. 12957 games), played 2-ply (precise), random seed, with race database.
1.	Double, take	0,820
2.	No double	0,785	(-0,035)
3.	Double, pass	1,000	(+0,180)
Proper cube action: Double, take

#	Ply	Move	Equity
*1	3	20/15 7/2*(3)	0,946
2	3	20/15 8/3(2) 6/1	0,860 (-0,086)
3	2	8/3(2) 7/2*(2)	0,766 (-0,180)
4	2	20/10 8/3(2)	0,695 (-0,251)
5	2	20/15 8/3(2) 7/2*	0,663 (-0,283)

Move 11 White		Pip: 111
		Game 6 19 point match Green-White: Score 4-3
		Pip: 89

#	Ply	Move	Equity
*1	3	bar/20 8/4	-0,983
2	3	bar/20 6/2	-1,000 (-0,017)

		Pip: 102
		Game 6 19 point match Green-White: Score 4-3
		Pip: 89

12.	Green	Double
	White	Pass

Cube action equity		Alert: Wrong pass
Rollout	Money equity:	0,550
	0,0% 2,0% 76,8% 23,2% 0,7% 0,0%
	95% confidence interval: - money cubeless eq.: 0,550 �0,009. Rollout settings: Full rollout, 360 games (equiv. 40139 games), played 2-ply (precise), random seed, with race database.
1.	Double, take	0,956
2.	No double	0,892	(-0,064)
3.	Double, pass	1,000	(+0,044)
Proper cube action: Double, take

Michihito wins 1 point.

Game 6 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	beginner	novice
Overall	18,378	20,383
Checker play	9,919	18,306
Double	8,459	0,000
Take	0,000	2,077

Game 07 Match to 19. Score Green-White: 5-3

Move 1 Green		Pip: 167
		Game 7 19 point match Green-White: Score 5-3
		Pip: 167

#	Ply	Move	Equity
*1	2	8/5 6/5	0,202
2	2	13/10 6/5	-0,022 (-0,224)
3	2	24/23 13/10	-0,028 (-0,230)
4	2	13/9	-0,040 (-0,242)
5	2	24/21 6/5	-0,043 (-0,245)

Move 1 White		Pip: 167
		Game 7 19 point match Green-White: Score 5-3
		Pip: 163

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,161
	0,6% 12,1% 44,7% 55,3% 17,4% 0,8%
1.	No double	-0,197
2.	Double, take	-0,643	(-0,445)
3.	Double, pass	1,000	(+1,197)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	3	24/23 13/9	-0,307
2	3	13/8	-0,348 (-0,040)
3	3	13/9 6/5	-0,362 (-0,055)
4	3	24/23 6/2	-0,456 (-0,149)
5	3	13/9 8/7	-0,462 (-0,155)

Move 2 Green		Pip: 162
		Game 7 19 point match Green-White: Score 5-3
		Pip: 163

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,238
	1,0% 19,1% 57,9% 42,1% 11,6% 0,6%
1.	No double	0,312
2.	Double, take	0,150	(-0,162)
3.	Double, pass	1,000	(+0,688)
Proper cube action: No double, take			19%

#	Ply	Move	Equity
*1	R	8/4 6/4	0,212
		95% confidence interval: - money cubeless eq.: 0,173 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30420 games), played 2-ply (precise), random seed, with race database.
2	R	24/20 13/11	0,201 (-0,011)
		95% confidence interval: - money cubeless eq.: 0,162 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24461 games), played 2-ply (precise), random seed, with race database.
3	R	24/22 13/9	0,180 (-0,032)
		95% confidence interval: - money cubeless eq.: 0,147 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 31787 games), played 2-ply (precise), random seed, with race database.
4	R	24/22 6/2*	0,179 (-0,033)
		95% confidence interval: - money cubeless eq.: 0,146 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 40345 games), played 2-ply (precise), random seed, with race database.
5	R	13/11 6/2*	0,169 (-0,043)
		95% confidence interval: - money cubeless eq.: 0,142 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 40155 games), played 2-ply (precise), random seed, with race database.

Move 2 White		Pip: 162
		Game 7 19 point match Green-White: Score 5-3
		Pip: 157

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,198
	0,8% 12,5% 43,7% 56,3% 19,6% 1,0%
1.	No double	-0,244
2.	Double, take	-0,717	(-0,474)
3.	Double, pass	1,000	(+1,244)
Proper cube action: No double, take			28%

#	Ply	Move	Equity
*1	3	13/8	-0,580
2	3	24/22 9/6	-0,610 (-0,029)
3	3	13/11 9/6	-0,633 (-0,052)
4	3	24/22 13/10	-0,683 (-0,102)
5	2	13/10 13/11	-0,753 (-0,172)

Move 3 Green		Pip: 157
		Game 7 19 point match Green-White: Score 5-3
		Pip: 157

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,420
	1,4% 25,0% 63,3% 36,7% 10,4% 0,6%
1.	No double	0,577
2.	Double, take	0,563	(-0,014)
3.	Double, pass	1,000	(+0,423)
Proper cube action: No double, take			3%

#	Ply	Move	Equity
1	R	13/11 6/2*	0,483
		95% confidence interval: - money cubeless eq.: 0,339 �0,011. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 55982 games), played 2-ply (precise), random seed, with race database.
*2	R	8/2*	0,465 (-0,017)
		95% confidence interval: - money cubeless eq.: 0,331 �0,011. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 52322 games), played 2-ply (precise), random seed, with race database.
3	3	24/22 6/2*	0,417 (-0,066)
4	2	13/9 13/11	0,313 (-0,169)
5	2	13/9 8/6	0,298 (-0,185)

Move 3 White		Pip: 159
		Game 7 19 point match Green-White: Score 5-3
		Pip: 151

#	Ply	Move	Equity
*1	1	Can't move	-0,960

Alert: Anti-joker (0,608)

		Pip: 159
		Game 7 19 point match Green-White: Score 5-3
		Pip: 151

4.	Green	Double
	White	Pass

Cube action equity
Rollout	Money equity:	0,634
	2,7% 32,6% 68,2% 31,8% 7,7% 0,5%
	95% confidence interval: - money cubeless eq.: 0,634 �0,025, - live cube no double: 0,854 �0,058, - live cube double take: 1,066 �0,079. Rollout settings: Full rollout, 324 games (equiv. 10021 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, pass	1,000
2.	No double	0,812	(-0,188)
3.	Double, take	1,043	(+0,043)
Proper cube action: Double, pass
Live cube
1.	Double, pass	1,000
2.	No double	0,854	(-0,146)
3.	Double, take	1,066	(+0,066)
Proper cube action: Double, pass

Michihito wins 1 point.

Game 7 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	extra-terrestrial
Overall	2,857	0,000
Checker play	2,857	0,000
Double	0,000	0,000
Take	0,000	0,000

Game 08 Match to 19. Score Green-White: 6-3

Move 1 Green		Pip: 167
		Game 8 19 point match Green-White: Score 6-3
		Pip: 167

#	Ply	Move	Equity
1	3	24/22 13/8	-0,028
*2	3	13/8 13/11	-0,035 (-0,007)
3	3	13/8 6/4	-0,063 (-0,035)
4	3	13/6	-0,118 (-0,091)
5	3	13/11 8/3	-0,165 (-0,137)

Move 1 White		Pip: 167
		Game 8 19 point match Green-White: Score 6-3
		Pip: 160

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,001
	0,6% 14,3% 50,2% 49,8% 14,6% 0,7%
1.	No double	0,031
2.	Double, take	-0,250	(-0,282)
3.	Double, pass	1,000	(+0,969)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
*1	R	24/15	-0,086
		95% confidence interval: - money cubeless eq.: -0,088 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30161 games), played 2-ply (precise), random seed, with race database.
2	R	24/18 13/10	-0,092 (-0,006)
		95% confidence interval: - money cubeless eq.: -0,092 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 39703 games), played 2-ply (precise), random seed, with race database.
3	R	13/7 13/10	-0,131 (-0,046)
		95% confidence interval: - money cubeless eq.: -0,117 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28688 games), played 2-ply (precise), random seed, with race database.
4	R	13/4	-0,137 (-0,051)
		95% confidence interval: - money cubeless eq.: -0,121 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30863 games), played 2-ply (precise), random seed, with race database.
5	R	24/18 24/21	-0,143 (-0,057)
		95% confidence interval: - money cubeless eq.: -0,126 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 31659 games), played 2-ply (precise), random seed, with race database.

Move 2 Green		Pip: 158
		Game 8 19 point match Green-White: Score 6-3
		Pip: 160

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,090
	0,6% 15,9% 52,3% 47,7% 11,6% 0,5%
1.	No double	0,086
2.	Double, take	-0,219	(-0,305)
3.	Double, pass	1,000	(+0,914)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	R	11/10* 6/1*	0,058
		95% confidence interval: - money cubeless eq.: 0,071 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33373 games), played 2-ply (precise), random seed, with race database.
2	R	13/8 11/10*	0,006 (-0,052)
		95% confidence interval: - money cubeless eq.: 0,029 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 29304 games), played 2-ply (precise), random seed, with race database.
3	3	11/10*/5	-0,025 (-0,084)
4	3	11/10* 8/3	-0,080 (-0,138)
5	2	24/18	-0,155 (-0,214)

Move 2 White		Pip: 169
		Game 8 19 point match Green-White: Score 6-3
		Pip: 154

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,075
	0,6% 13,1% 48,4% 51,6% 17,4% 0,6%
1.	No double	-0,065
2.	Double, take	-0,407	(-0,342)
3.	Double, pass	1,000	(+1,065)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
*1	1	Can't move	-0,512

Move 3 Green		Pip: 169
		Game 8 19 point match Green-White: Score 6-3
		Pip: 154

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,343
	1,1% 25,7% 59,0% 41,0% 9,9% 0,5%
1.	No double	0,438
2.	Double, take	0,347	(-0,091)
3.	Double, pass	1,000	(+0,562)
Proper cube action: No double, take			14%

#	Ply	Move	Equity
*1	2	8/5 6/5	0,504
2	2	10/7 8/7	0,205 (-0,300)
3	2	13/10 8/7	0,182 (-0,323)
4	2	24/21 8/7	0,170 (-0,334)
5	2	24/23 13/10	0,150 (-0,354)

Move 3 White		Pip: 169
		Game 8 19 point match Green-White: Score 6-3
		Pip: 150

#	Ply	Move	Equity
*1	1	bar/22	-0,780

		Pip: 166
		Game 8 19 point match Green-White: Score 6-3
		Pip: 150

4.	Green	Double
	White	Take

Cube action equity
Rollout	Money equity:	0,446
	0,6% 28,2% 62,6% 37,4% 9,0% 0,3%
	95% confidence interval: - money cubeless eq.: 0,446 �0,022. Rollout settings: Full rollout, 360 games (equiv. 12952 games), played 2-ply (precise), random seed, with race database.
1.	Double, take	0,591
2.	No double	0,586	(-0,005)
3.	Double, pass	1,000	(+0,409)
Proper cube action: Double, take

Move 5 Green		Pip: 166
		Game 8 19 point match Green-White: Score 6-3
		Pip: 150

#	Ply	Move	Equity
*1	R	24/20 13/1	0,390
		95% confidence interval: - money cubeless eq.: 0,546 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22030 games), played 2-ply (precise), random seed, with race database.
2	R	24/20(2) 8/4(2)	0,367 (-0,023)
		95% confidence interval: - money cubeless eq.: 0,522 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26395 games), played 2-ply (precise), random seed, with race database.
3	R	24/20 8/4(3)	0,363 (-0,026)
		95% confidence interval: - money cubeless eq.: 0,523 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21915 games), played 2-ply (precise), random seed, with race database.
4	R	24/20(2) 13/9(2)	0,350 (-0,039)
		95% confidence interval: - money cubeless eq.: 0,501 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28079 games), played 2-ply (precise), random seed, with race database.
5	R	24/16(2)	0,317 (-0,072)
		95% confidence interval: - money cubeless eq.: 0,461 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25511 games), played 2-ply (precise), random seed, with race database.

Move 5 White		Pip: 166
		Game 8 19 point match Green-White: Score 6-3
		Pip: 134

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,511
	0,3% 8,0% 36,4% 63,6% 30,8% 1,4%
1.	No redouble	-0,342
2.	Redouble, take	-1,008	(-0,666)
3.	Redouble, pass	1,000	(+1,342)
Proper cube action: No redouble, take			33%

#	Ply	Move	Equity
*1	3	bar/22 13/7	-0,262
2	3	bar/22 8/2	-0,317 (-0,055)
3	1	bar/16	-0,547 (-0,284)

Move 6 Green		Pip: 157
		Game 8 19 point match Green-White: Score 6-3
		Pip: 134

#	Ply	Move	Equity
*1	3	20/18* 8/6 6/4(2)	0,499
2	3	24/20 20/18*(2)	0,372 (-0,126)
3	3	24/18*/16	0,341 (-0,158)
4	3	24/22 20/18*/14	0,329 (-0,169)
5	3	20/18*/16 13/11(2)	0,315 (-0,184)

Move 6 White		Pip: 175
		Game 8 19 point match Green-White: Score 6-3
		Pip: 126

#	Ply	Move	Equity
*1	1	Can't move	-0,584

Move 7 Green		Pip: 175
		Game 8 19 point match Green-White: Score 6-3
		Pip: 126

#	Ply	Move	Equity
1	R	13/7 10/7	0,597
		95% confidence interval: - money cubeless eq.: 0,718 �0,015. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 26697 games), played 2-ply (precise), random seed, with race database.
2	R	18/9	0,582 (-0,016)
		95% confidence interval: - money cubeless eq.: 0,704 �0,012. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 26524 games), played 2-ply (precise), random seed, with race database.
*3	R	24/18 13/10	0,571 (-0,027)
		95% confidence interval: - money cubeless eq.: 0,691 �0,012. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 29854 games), played 2-ply (precise), random seed, with race database.
4	R	24/15	0,566 (-0,031)
		95% confidence interval: - money cubeless eq.: 0,687 �0,011. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 29519 games), played 2-ply (precise), random seed, with race database.
5	3	18/15 10/4	0,543 (-0,054)

Move 7 White		Pip: 175
		Game 8 19 point match Green-White: Score 6-3
		Pip: 117

#	Ply	Move	Equity
*1	3	bar/22 8/4	-0,461
2	3	bar/22 6/2	-0,488 (-0,027)
3	3	bar/22 13/9	-0,519 (-0,057)
4	3	bar/18	-0,601 (-0,140)

Move 8 Green		Pip: 168
		Game 8 19 point match Green-White: Score 6-3
		Pip: 117

#	Ply	Move	Equity
*1	3	18/13 18/15	0,478
2	3	18/10	0,422 (-0,056)
3	3	18/15 13/8	0,402 (-0,076)
4	3	13/5	0,400 (-0,078)
5	3	18/13 10/7	0,386 (-0,092)

Move 8 White		Pip: 168
		Game 8 19 point match Green-White: Score 6-3
		Pip: 109

#	Ply	Move	Equity
*1	3	13/10* 8/4	-0,463
2	3	13/9 6/3	-0,539 (-0,076)
3	3	8/4 6/3	-0,562 (-0,100)
4	3	8/4 8/5	-0,564 (-0,102)
5	2	6/2 6/3	-0,631 (-0,168)

Move 9 Green		Pip: 161
		Game 8 19 point match Green-White: Score 6-3
		Pip: 119

#	Ply	Move	Equity
1	R	bar/20	0,418
		95% confidence interval: - money cubeless eq.: 0,545 �0,013. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 34049 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/22 10/8	0,398 (-0,020)
		95% confidence interval: - money cubeless eq.: 0,532 �0,012. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 36517 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22 13/11	0,332 (-0,086)
4	3	bar/23 13/10	0,323 (-0,095)
5	3	bar/22 8/6	0,294 (-0,124)

Move 9 White		Pip: 161
		Game 8 19 point match Green-White: Score 6-3
		Pip: 114

#	Ply	Move	Equity
*1	2	22/15*	-0,284
2	2	13/7 8/7	-0,448 (-0,164)
3	2	10/3*	-0,601 (-0,317)
4	2	8/1	-0,633 (-0,349)
5	2	10/4 8/7	-0,636 (-0,352)

Move 10 Green		Pip: 154
		Game 8 19 point match Green-White: Score 6-3
		Pip: 129

#	Ply	Move	Equity
1	R	bar/20	0,125
		95% confidence interval: - money cubeless eq.: 0,306 �0,015. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 32018 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/24 22/18	0,107 (-0,019)
		95% confidence interval: - money cubeless eq.: 0,288 �0,014. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 35370 games), played 2-ply (precise), random seed, with race database.
3	3	bar/24 8/4	0,107 (-0,018)
4	2	bar/24 13/9	-0,193 (-0,319)
5	1	bar/24 6/2	-0,396 (-0,522)

Move 10 White		Pip: 154
		Game 8 19 point match Green-White: Score 6-3
		Pip: 124

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,240
	0,4% 12,3% 41,4% 58,6% 18,8% 0,7%
1.	No redouble	-0,052
2.	Redouble, take	-0,568	(-0,515)
3.	Redouble, pass	1,000	(+1,052)
Proper cube action: No redouble, take			33%

#	Ply	Move	Equity
*1	3	15/13 8/7*	-0,244
2	3	15/14 10/8	-0,277 (-0,033)
3	3	8/7* 6/4	-0,357 (-0,113)
4	3	10/8 6/5	-0,358 (-0,114)
5	3	10/7*	-0,405 (-0,161)

Move 11 Green		Pip: 151
		Game 8 19 point match Green-White: Score 6-3
		Pip: 131

#	Ply	Move	Equity
*1	2	bar/20 24/20	0,300
2	2	bar/16	0,034 (-0,266)
3	1	bar/20 8/4	-0,021 (-0,321)
4	1	bar/20 13/9	-0,196 (-0,495)
5	1	bar/20 6/2	-0,473 (-0,772)

Move 11 White		Pip: 151
		Game 8 19 point match Green-White: Score 6-3
		Pip: 122

#	Ply	Move	Equity
*1	3	13/7 13/10	-0,126
2	3	13/7 10/7	-0,202 (-0,075)
3	3	13/10 7/1	-0,281 (-0,154)
4	2	13/7 6/3	-0,333 (-0,206)
5	2	10/4 7/4	-0,383 (-0,256)

Move 12 Green		Pip: 142
		Game 8 19 point match Green-White: Score 6-3
		Pip: 122

#	Ply	Move	Equity
*1	2	8/2	0,141
2	2	13/7	-0,045 (-0,187)
3	1	6/1 6/5	-0,235 (-0,376)
4	1	13/8 5/4	-0,242 (-0,383)
5	1	13/8 6/5	-0,281 (-0,422)

Move 12 White		Pip: 142
		Game 8 19 point match Green-White: Score 6-3
		Pip: 116

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,271
	0,3% 7,7% 40,0% 60,0% 14,6% 0,5%
1.	No redouble	-0,101
2.	Redouble, take	-0,685	(-0,584)
3.	Redouble, pass	1,000	(+1,101)
Proper cube action: No redouble, take			35%

#	Ply	Move	Equity
*1	3	6/3 4/3	-0,052
2	3	6/2	-0,094 (-0,042)
3	2	7/4 7/6	-0,265 (-0,213)
4	2	10/7 10/9	-0,302 (-0,250)
5	2	7/3	-0,310 (-0,258)

Move 13 Green		Pip: 138
		Game 8 19 point match Green-White: Score 6-3
		Pip: 116

#	Ply	Move	Equity
1	R	8/2 8/7	0,057
		95% confidence interval: - money cubeless eq.: 0,237 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12594 games), played 2-ply (precise), random seed, with race database.
*2	R	13/6	0,047 (-0,010)
		95% confidence interval: - money cubeless eq.: 0,225 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11008 games), played 2-ply (precise), random seed, with race database.
3	3	20/13	-0,006 (-0,063)
4	2	13/7 8/7	-0,110 (-0,166)
5	2	20/14 2/1	-0,202 (-0,259)

Move 13 White		Pip: 138
		Game 8 19 point match Green-White: Score 6-3
		Pip: 109

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,226
	0,3% 7,6% 42,8% 57,2% 15,5% 0,5%
1.	No redouble	-0,042
2.	Redouble, take	-0,562	(-0,520)
3.	Redouble, pass	1,000	(+1,042)
Proper cube action: No redouble, take			33%

#	Ply	Move	Equity
*1	3	13/12* 7/4	0,082
2	3	13/10 13/12*	-0,055 (-0,138)
3	3	6/2	-0,098 (-0,180)
4	2	7/4 7/6	-0,144 (-0,226)
5	2	13/12*/9	-0,154 (-0,237)

Move 14 Green		Pip: 134
		Game 8 19 point match Green-White: Score 6-3
		Pip: 121

#	Ply	Move	Equity
*1	1	Can't move	-0,355

Move 14 White		Pip: 134
		Game 8 19 point match Green-White: Score 6-3
		Pip: 121

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	-0,010
	0,5% 11,2% 50,1% 49,9% 12,4% 0,4%
1.	No redouble	0,212
2.	Redouble, take	-0,114	(-0,326)
3.	Redouble, pass	1,000	(+0,788)
Proper cube action: No redouble, take			29%

#	Ply	Move	Equity
*1	3	22/16(2) 16/10 13/7	0,775
2	3	22/16(2) 13/7 12/6	0,671 (-0,105)
3	2	22/16(2) 13/7 10/4	0,450 (-0,325)
4	2	22/10(2)	0,415 (-0,361)
5	2	22/10 13/7 12/6	0,414 (-0,362)

Move 15 Green		Pip: 110
		Game 8 19 point match Green-White: Score 6-3
		Pip: 121

#	Ply	Move	Equity
1	R	bar/23 6/5	-0,840
		95% confidence interval: - money cubeless eq.: -0,443 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18031 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/23 8/7	-0,895 (-0,055)
		95% confidence interval: - money cubeless eq.: -0,465 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16677 games), played 2-ply (precise), random seed, with race database.
3	3	bar/24 6/4	-0,865 (-0,025)
4	3	bar/24 8/6	-0,875 (-0,035)
5	3	bar/24 4/2	-0,892 (-0,052)

		Pip: 110
		Game 8 19 point match Green-White: Score 6-3
		Pip: 118

	White	Double
15.	Green	Take

Cube action equity
Rollout	Money equity:	0,459
	0,2% 5,2% 71,4% 28,6% 2,3% 0,1%
	95% confidence interval: - money cubeless eq.: 0,459 �0,014, - live cube no redouble: 0,816 �0,021, - live cube redouble take: 0,855 �0,036. Rollout settings: Full rollout, 324 games (equiv. 21775 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Redouble, take	0,848
2.	No redouble	0,812	(-0,036)
3.	Redouble, pass	1,000	(+0,152)
Proper cube action: Redouble, take
Live cube
1.	Redouble, take	0,855
2.	No redouble	0,816	(-0,039)
3.	Redouble, pass	1,000	(+0,145)
Proper cube action: Redouble, take

Move 16 White		Pip: 110
		Game 8 19 point match Green-White: Score 6-3
		Pip: 118

#	Ply	Move	Equity
1	R	12/3	0,415
		95% confidence interval: - money cubeless eq.: 0,458 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19606 games), played 2-ply (precise), random seed, with race database.
*2	R	12/6 10/7	0,413 (-0,002)
		95% confidence interval: - money cubeless eq.: 0,462 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18583 games), played 2-ply (precise), random seed, with race database.
3	R	16/7	0,388 (-0,027)
		95% confidence interval: - money cubeless eq.: 0,439 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18260 games), played 2-ply (precise), random seed, with race database.
4	3	16/10 6/3	0,362 (-0,054)
5	3	16/13 12/6	0,355 (-0,060)

Move 17 Green		Pip: 101
		Game 8 19 point match Green-White: Score 6-3
		Pip: 118

#	Ply	Move	Equity
1	R	23/20 7/6	-0,457
		95% confidence interval: - money cubeless eq.: -0,504 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27715 games), played 2-ply (precise), random seed, with race database.
2	R	23/20 8/7	-0,459 (-0,003)
		95% confidence interval: - money cubeless eq.: -0,504 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23082 games), played 2-ply (precise), random seed, with race database.
*3	R	23/20 6/5	-0,466 (-0,009)
		95% confidence interval: - money cubeless eq.: -0,509 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 34866 games), played 2-ply (precise), random seed, with race database.
4	R	6/2	-0,519 (-0,062)
		95% confidence interval: - money cubeless eq.: -0,546 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17615 games), played 2-ply (precise), random seed, with race database.
5	3	23/20 4/3	-0,447 ( 0,010)

Move 17 White		Pip: 101
		Game 8 19 point match Green-White: Score 6-3
		Pip: 114

#	Ply	Move	Equity
*1	R	16/15 6/3	0,346
		95% confidence interval: - money cubeless eq.: 0,405 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25696 games), played 2-ply (precise), random seed, with race database.
2	R	16/12	0,340 (-0,007)
		95% confidence interval: - money cubeless eq.: 0,399 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30639 games), played 2-ply (precise), random seed, with race database.
3	3	16/15 7/4	0,308 (-0,038)
4	3	6/2	0,300 (-0,046)
5	3	7/3	0,293 (-0,053)

Move 18 Green		Pip: 97
		Game 8 19 point match Green-White: Score 6-3
		Pip: 114

#	Ply	Move	Equity
*1	3	7/3 5/2	-0,366
2	3	8/4 5/2	-0,379 (-0,014)
3	3	20/17 7/3	-0,407 (-0,041)
4	3	8/5 7/3	-0,413 (-0,047)
5	3	7/3 6/3	-0,414 (-0,048)

Move 18 White		Pip: 97
		Game 8 19 point match Green-White: Score 6-3
		Pip: 107

#	Ply	Move	Equity
*1	3	15/4	0,486
2	3	15/10 7/1	0,443 (-0,043)
3	3	7/1 6/1	0,385 (-0,101)
4	1	15/9 7/2	0,016 (-0,470)
5	1	15/9 6/1	0,011 (-0,474)

Move 19 Green		Pip: 86
		Game 8 19 point match Green-White: Score 6-3
		Pip: 107

#	Ply	Move	Equity
*1	R	8/3	-0,562
		95% confidence interval: - money cubeless eq.: -0,600 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33421 games), played 2-ply (precise), random seed, with race database.
2	R	20/16 4/3	-0,575 (-0,012)
		95% confidence interval: - money cubeless eq.: -0,608 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22188 games), played 2-ply (precise), random seed, with race database.
3	R	20/16 8/7	-0,576 (-0,013)
		95% confidence interval: - money cubeless eq.: -0,614 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19349 games), played 2-ply (precise), random seed, with race database.
4	3	8/4 6/5	-0,586 (-0,024)
5	3	20/16 3/2	-0,590 (-0,027)

Move 19 White		Pip: 86
		Game 8 19 point match Green-White: Score 6-3
		Pip: 102

#	Ply	Move	Equity
*1	1	7/1 6/1	0,519
2	1	7/1 7/2	-0,068 (-0,587)
3	1	10/4 7/2	-0,231 (-0,750)
4	1	10/4 6/1	-0,242 (-0,761)

Move 20 Green		Pip: 75
		Game 8 19 point match Green-White: Score 6-3
		Pip: 102

#	Ply	Move	Equity
*1	3	20/12	-0,481
2	3	20/14 6/4	-0,541 (-0,060)
3	3	20/14 5/3	-0,544 (-0,063)
4	3	20/14 4/2	-0,554 (-0,073)
5	3	20/14 3/1	-0,560 (-0,079)

Move 20 White		Pip: 75
		Game 8 19 point match Green-White: Score 6-3
		Pip: 94

#	Ply	Move	Equity
1	R	6/1 3/2	0,445
		95% confidence interval: - money cubeless eq.: 0,501 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26735 games), played 2-ply (precise), random seed, with race database.
*2	R	7/2 7/6	0,417 (-0,028)
		95% confidence interval: - money cubeless eq.: 0,474 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33327 games), played 2-ply (precise), random seed, with race database.
3	3	6/1 4/3	0,404 (-0,041)
4	1	7/2 3/2	0,005 (-0,440)
5	1	7/1	-0,117 (-0,562)

Move 21 Green		Pip: 69
		Game 8 19 point match Green-White: Score 6-3
		Pip: 94

#	Ply	Move	Equity
*1	3	12/8	-0,437
2	3	12/9 6/5	-0,491 (-0,054)
3	3	12/9 5/4	-0,497 (-0,060)
4	3	12/9 3/2	-0,500 (-0,063)
5	3	12/11 6/3	-0,504 (-0,067)

Move 21 White		Pip: 69
		Game 8 19 point match Green-White: Score 6-3
		Pip: 90

#	Ply	Move	Equity
*1	3	4/2 3/2	0,470
2	3	6/4 3/2	0,432 (-0,038)
3	3	4/2 4/3	0,410 (-0,060)
4	3	4/1	0,408 (-0,062)
5	3	3/1 3/2	0,408 (-0,062)

Move 22 Green		Pip: 66
		Game 8 19 point match Green-White: Score 6-3
		Pip: 90

#	Ply	Move	Equity
*1	R	8/2 6/2	-0,533
		95% confidence interval: - money cubeless eq.: -0,580 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 41556 games), played 2-ply (precise), random seed, with race database.
2	R	8/2 5/1	-0,548 (-0,014)
		95% confidence interval: - money cubeless eq.: -0,593 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 38551 games), played 2-ply (precise), random seed, with race database.
3	3	20/10	-0,597 (-0,064)
4	3	20/14 8/4	-0,599 (-0,065)
5	3	20/16 8/2	-0,673 (-0,139)

Move 22 White		Pip: 66
		Game 8 19 point match Green-White: Score 6-3
		Pip: 80

#	Ply	Move	Equity
*1	2	6/1 6/2	0,494
2	2	10/1	0,260 (-0,234)

Move 23 Green		Pip: 57
		Game 8 19 point match Green-White: Score 6-3
		Pip: 80

#	Ply	Move	Equity
*1	3	6/4 2/1	-0,440
2	3	6/3	-0,447 (-0,007)
3	3	6/5 3/1	-0,554 (-0,115)
4	3	6/4 5/4	-0,566 (-0,127)
5	3	6/4 3/2	-0,566 (-0,127)

Move 23 White		Pip: 57
		Game 8 19 point match Green-White: Score 6-3
		Pip: 77

#	Ply	Move	Equity
*1	3	10/4	0,239
2	3	6/1 2/1	0,115 (-0,124)
3	2	6/1 4/3	-0,091 (-0,330)
4	1	6/1 3/2	-0,068 (-0,307)
5	1	10/9 6/1	-0,720 (-0,959)

Move 24 Green		Pip: 51
		Game 8 19 point match Green-White: Score 6-3
		Pip: 77

#	Ply	Move	Equity
*1	3	20/14	-0,802
2	3	5/1 5/3	-0,852 (-0,050)
3	3	5/1 4/2	-0,861 (-0,059)
4	3	5/1 3/1	-0,882 (-0,079)
5	3	20/16 4/2	-0,906 (-0,104)

Alert: Anti-joker (0,557)

Move 24 White		Pip: 51
		Game 8 19 point match Green-White: Score 6-3
		Pip: 71

#	Ply	Move	Equity
*1	3	10/4 2/off	0,877
2	3	10/2	0,828 (-0,049)
3	3	10/4 3/1	0,814 (-0,063)
4	1	10/4 6/4	0,396 (-0,481)

Move 25 Green		Pip: 43
		Game 8 19 point match Green-White: Score 6-3
		Pip: 71

#	Ply	Move	Equity
*1	3	20/5 14/9	-0,625
2	3	20/10 14/4	-0,640 (-0,015)

Move 25 White		Pip: 43
		Game 8 19 point match Green-White: Score 6-3
		Pip: 51

#	Ply	Move	Equity
*1	3	3/off 1/off	0,510
2	3	6/3 1/off	0,458 (-0,052)
3	3	6/5 3/off	0,440 (-0,070)
4	3	6/3 6/5	0,381 (-0,129)
5	3	4/off	0,381 (-0,129)

Move 26 Green		Pip: 39
		Game 8 19 point match Green-White: Score 6-3
		Pip: 51

#	Ply	Move	Equity
*1	D	9/6 5/off	-0,558
2	D	9/4 3/off	-0,587 (-0,030)
3	D	9/4 5/2	-0,742 (-0,184)
4	D	9/1	-0,756 (-0,198)

Move 26 White		Pip: 39
		Game 8 19 point match Green-White: Score 6-3
		Pip: 43

#	Ply	Move	Equity
*1	D	6/off	0,414
2	D	6/1 6/5	0,246 (-0,168)
3	D	6/1 4/3	0,229 (-0,186)
4	D	6/1 2/1	0,119 (-0,296)
5	D	6/1 3/2	0,021 (-0,393)

Move 27 Green		Pip: 33
		Game 8 19 point match Green-White: Score 6-3
		Pip: 43

#	Ply	Move	Equity
*1	D	5/off 1/off	-0,497
2	D	5/off 4/3	-0,715 (-0,218)
3	D	6/off	-0,718 (-0,221)
4	D	5/off 2/1	-0,718 (-0,221)
5	D	5/off 5/4	-0,721 (-0,225)

Move 27 White		Pip: 33
		Game 8 19 point match Green-White: Score 6-3
		Pip: 37

#	Ply	Move	Equity
*1	D	6/off 2/off	0,549
2	D	6/off 4/2	0,399 (-0,150)
3	D	6/off	0,302 (-0,248)
4	D	6/off 3/1	0,192 (-0,358)

Move 28 Green		Pip: 25
		Game 8 19 point match Green-White: Score 6-3
		Pip: 37

#	Ply	Move	Equity
*1	D	5/off 1/off	-0,692
2	D	5/off 4/3	-0,828 (-0,136)
3	D	6/off	-0,832 (-0,140)
4	D	5/off 2/1	-0,836 (-0,144)
5	D	5/off 3/2	-0,838 (-0,146)

Move 28 White		Pip: 25
		Game 8 19 point match Green-White: Score 6-3
		Pip: 31

#	Ply	Move	Equity
*1	1	4/off(2)	0,742

Move 29 Green		Pip: 17
		Game 8 19 point match Green-White: Score 6-3
		Pip: 31

#	Ply	Move	Equity
*1	D	6/off 1/off	-0,786
2	D	6/off 4/3	-0,925 (-0,139)
3	D	6/off 2/1	-0,927 (-0,141)
4	D	6/off 3/2	-0,936 (-0,150)
5	D	6/off	-0,936 (-0,150)

Move 29 White		Pip: 17
		Game 8 19 point match Green-White: Score 6-3
		Pip: 24

#	Ply	Move	Equity
*1	D	4/off 2/off	0,765
2	D	4/off 4/2	0,742 (-0,023)
3	D	4/off 3/1	0,677 (-0,088)

Move 30 Green		Pip: 11
		Game 8 19 point match Green-White: Score 6-3
		Pip: 24

#	Ply	Move	Equity
*1	D	3/off 2/off	-0,812
2	D	4/2 3/off	-0,976 (-0,164)
3	D	4/1 2/off	-0,976 (-0,164)
4	D	3/off 3/1	-0,976 (-0,164)
5	D	4/1 4/2	-0,976 (-0,164)

Move 30 White		Pip: 11
		Game 8 19 point match Green-White: Score 6-3
		Pip: 19

#	Ply	Move	Equity
*1	D	4/off 2/off	0,784
2	D	4/2 3/off	0,784 ( 0,000)
3	D	4/off 3/1	0,784 ( 0,000)

Move 31 Green		Pip: 5
		Game 8 19 point match Green-White: Score 6-3
		Pip: 19

#	Ply	Move	Equity
1	D	4/off 2/1	-1,000
*2	D	4/off 4/3	-1,000 ( 0,000)
3	D	4/off 3/2	-1,000 ( 0,000)

Move 31 White		Pip: 5
		Game 8 19 point match Green-White: Score 6-3
		Pip: 14

Groutsos wins 4 points.

Game 8 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	extra-terrestrial
Overall	2,586	0,522
Checker play	2,586	0,522
Double	0,000	0,000
Take	0,000	0,000

Game 09 Match to 19. Score Green-White: 6-7

Move 1 White		Pip: 167
		Game 9 19 point match Green-White: Score 6-7
		Pip: 167

#	Ply	Move	Equity
*1	3	24/13	0,065
2	3	24/18 13/8	0,029 (-0,037)
3	3	13/7 13/8	-0,061 (-0,126)
4	2	13/2	-0,123 (-0,188)
5	2	24/18 8/3	-0,155 (-0,220)

Move 2 Green		Pip: 156
		Game 9 19 point match Green-White: Score 6-7
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,045
	0,5% 12,6% 47,7% 52,3% 12,4% 0,6%
1.	No double	-0,063
2.	Double, take	-0,431	(-0,368)
3.	Double, pass	1,000	(+1,063)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
1	R	24/23 13/9	-0,181
		95% confidence interval: - money cubeless eq.: -0,135 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28194 games), played 2-ply (precise), random seed, with race database.
2	R	24/20 6/5	-0,188 (-0,007)
		95% confidence interval: - money cubeless eq.: -0,136 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 34292 games), played 2-ply (precise), random seed, with race database.
*3	R	13/9 6/5	-0,189 (-0,009)
		95% confidence interval: - money cubeless eq.: -0,143 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23939 games), played 2-ply (precise), random seed, with race database.
4	3	24/20 24/23	-0,179 ( 0,002)
5	3	13/8	-0,206 (-0,026)

Move 2 White		Pip: 156
		Game 9 19 point match Green-White: Score 6-7
		Pip: 162

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,121
	0,8% 14,0% 55,1% 44,9% 12,2% 0,5%
1.	No double	0,162
2.	Double, take	-0,081	(-0,242)
3.	Double, pass	1,000	(+0,838)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	3	24/20* 13/11	0,274
2	3	24/20*/18	0,159 (-0,114)
3	3	24/20* 8/6	0,151 (-0,123)
4	3	24/20* 6/4	0,139 (-0,134)
5	2	8/4 6/4	0,085 (-0,189)

Move 3 Green		Pip: 150
		Game 9 19 point match Green-White: Score 6-7
		Pip: 182

#	Ply	Move	Equity
*1	R	bar/23 9/5*	-0,256
		95% confidence interval: - money cubeless eq.: -0,197 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 20747 games), played 2-ply (precise), random seed, with race database.
2	R	bar/23 13/9	-0,313 (-0,057)
		95% confidence interval: - money cubeless eq.: -0,233 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23331 games), played 2-ply (precise), random seed, with race database.
3	3	bar/21 9/7	-0,388 (-0,131)
4	3	bar/21 6/4	-0,392 (-0,136)
5	3	bar/23 8/4	-0,401 (-0,145)

Move 3 White		Pip: 155
		Game 9 19 point match Green-White: Score 6-7
		Pip: 176

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,201
	1,0% 16,8% 56,9% 43,1% 11,1% 0,5%
1.	No double	0,263
2.	Double, take	0,094	(-0,170)
3.	Double, pass	1,000	(+0,737)
Proper cube action: No double, take			19%

#	Ply	Move	Equity
*1	3	bar/20*/10 13/8	0,575
2	3	bar/20* 13/8 8/3(2)	0,503 (-0,073)
3	3	bar/20*/10 11/6	0,468 (-0,107)
4	2	bar/20*/15 13/8(2)	0,426 (-0,149)
5	2	bar/20*/15 13/8 11/6	0,424 (-0,152)

Move 4 Green		Pip: 135
		Game 9 19 point match Green-White: Score 6-7
		Pip: 196

#	Ply	Move	Equity
*1	3	bar/21 23/21	-0,490
2	3	bar/23 13/9	-0,625 (-0,135)
3	3	bar/23 8/4	-0,631 (-0,140)
4	1	bar/23 6/2	-0,779 (-0,289)
5	1	bar/21 6/4	-0,875 (-0,385)

Move 4 White		Pip: 135
		Game 9 19 point match Green-White: Score 6-7
		Pip: 190

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,380
	1,6% 19,7% 61,7% 38,3% 6,4% 0,3%
	95% confidence interval: - money cubeless eq.: 0,380 �0,026, - live cube no double: 0,525 �0,068, - live cube double take: 0,486 �0,075. Rollout settings: Full rollout, 324 games (equiv. 8092 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,532
2.	Double, take	0,502	(-0,031)
3.	Double, pass	1,000	(+0,468)
Proper cube action: No double, take			6%
Live cube
1.	No double	0,525
2.	Double, take	0,486	(-0,039)
3.	Double, pass	1,000	(+0,475)
Proper cube action: No double, take			8%

#	Ply	Move	Equity
1	3	11/7 8/7	0,579
*2	3	13/9 10/9	0,577 (-0,001)
3	3	13/9 11/10	0,471 (-0,107)
4	3	11/10 6/2	0,432 (-0,147)
5	2	13/8	0,274 (-0,304)

Move 5 Green		Pip: 130
		Game 9 19 point match Green-White: Score 6-7
		Pip: 190

#	Ply	Move	Equity
*1	3	8/5 6/4	-0,452
2	3	13/10 6/4	-0,482 (-0,031)
3	3	13/11 8/5	-0,491 (-0,040)
4	3	13/10 13/11	-0,532 (-0,080)
5	3	13/11 6/3	-0,568 (-0,117)

Move 5 White		Pip: 130
		Game 9 19 point match Green-White: Score 6-7
		Pip: 185

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,325
	1,5% 18,8% 60,0% 40,0% 7,5% 0,4%
	95% confidence interval: - money cubeless eq.: 0,325 �0,026, - live cube no double: 0,437 �0,070, - live cube double take: 0,349 �0,075. Rollout settings: Full rollout, 324 games (equiv. 9283 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,437
2.	Double, take	0,374	(-0,063)
3.	Double, pass	1,000	(+0,563)
Proper cube action: No double, take			10%
Live cube
1.	No double	0,437
2.	Double, take	0,349	(-0,089)
3.	Double, pass	1,000	(+0,563)
Proper cube action: No double, take			14%

#	Ply	Move	Equity
*1	R	11/5 9/5	0,526
		95% confidence interval: - money cubeless eq.: 0,390 �0,014. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 26922 games), played 2-ply (precise), random seed, with race database.
2	R	13/7 11/7	0,465 (-0,062)
		95% confidence interval: - money cubeless eq.: 0,349 �0,018. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 17910 games), played 2-ply (precise), random seed, with race database.
3	3	13/9 11/5	0,401 (-0,125)
4	3	8/2 6/2	0,397 (-0,129)
5	3	13/9 8/2	0,359 (-0,167)

Move 6 Green		Pip: 120
		Game 9 19 point match Green-White: Score 6-7
		Pip: 185

#	Ply	Move	Equity
*1	R	8/5 6/4	-0,427
		95% confidence interval: - money cubeless eq.: -0,328 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14367 games), played 2-ply (precise), random seed, with race database.
2	R	13/10 6/4	-0,462 (-0,035)
		95% confidence interval: - money cubeless eq.: -0,352 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18263 games), played 2-ply (precise), random seed, with race database.
3	3	13/10 13/11	-0,482 (-0,055)
4	3	13/11 8/5	-0,487 (-0,060)
5	3	13/8	-0,539 (-0,112)

Move 6 White		Pip: 120
		Game 9 19 point match Green-White: Score 6-7
		Pip: 180

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,351
	1,7% 20,8% 59,3% 40,7% 5,8% 0,2%
	95% confidence interval: - money cubeless eq.: 0,351 �0,026, - live cube no double: 0,476 �0,067, - live cube double take: 0,416 �0,078. Rollout settings: Full rollout, 324 games (equiv. 9988 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,466
2.	Double, take	0,422	(-0,043)
3.	Double, pass	1,000	(+0,534)
Proper cube action: No double, take			8%
Live cube
1.	No double	0,476
2.	Double, take	0,416	(-0,059)
3.	Double, pass	1,000	(+0,524)
Proper cube action: No double, take			10%

#	Ply	Move	Equity
*1	3	9/3 8/5 6/3	0,493
2	3	8/5(2) 6/3(2)	0,394 (-0,099)
3	3	9/6 6/3(3)	0,389 (-0,104)
4	3	13/10 9/6 6/3(2)	0,376 (-0,117)
5	3	13/10(3) 9/6	0,354 (-0,139)

Move 7 Green		Pip: 108
		Game 9 19 point match Green-White: Score 6-7
		Pip: 180

#	Ply	Move	Equity
*1	3	13/8 13/10	-0,503
2	3	13/10 8/3	-0,573 (-0,070)
3	3	13/5	-0,591 (-0,088)
4	1	13/8 5/2	-0,748 (-0,245)
5	1	13/8 4/1	-0,807 (-0,304)

Move 7 White		Pip: 108
		Game 9 19 point match Green-White: Score 6-7
		Pip: 172

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,403
	2,0% 22,5% 60,7% 39,3% 5,4% 0,2%
	95% confidence interval: - money cubeless eq.: 0,403 �0,024, - live cube no double: 0,523 �0,066, - live cube double take: 0,488 �0,069. Rollout settings: Full rollout, 324 games (equiv. 9440 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,560
2.	Double, take	0,541	(-0,019)
3.	Double, pass	1,000	(+0,440)
Proper cube action: No double, take			4%
Live cube
1.	No double	0,523
2.	Double, take	0,488	(-0,035)
3.	Double, pass	1,000	(+0,477)
Proper cube action: No double, take			7%

#	Ply	Move	Equity
*1	2	8/2 6/2	0,629
2	2	13/3	0,406 (-0,223)
3	1	13/9 8/2	0,076 (-0,552)
4	1	13/7 6/2	0,048 (-0,580)
5	1	13/7 13/9	-0,067 (-0,696)

Move 8 Green		Pip: 98
		Game 9 19 point match Green-White: Score 6-7
		Pip: 172

#	Ply	Move	Equity
1	R	13/7 13/9	-0,640
		95% confidence interval: - money cubeless eq.: -0,442 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11491 games), played 2-ply (precise), random seed, with race database.
*2	R	10/6 8/2	-0,738 (-0,098)
		95% confidence interval: - money cubeless eq.: -0,490 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18635 games), played 2-ply (precise), random seed, with race database.
3	3	13/7 10/6	-0,714 (-0,074)
4	3	13/3	-0,718 (-0,078)
5	2	13/7 8/4	-0,825 (-0,185)

		Pip: 98
		Game 9 19 point match Green-White: Score 6-7
		Pip: 162

	White	Double
8.	Green	Pass

Cube action equity		Alert: Wrong double, wrong pass
Rollout	Money equity:	0,498
	2,7% 25,6% 62,7% 37,3% 3,9% 0,1%
	95% confidence interval: - money cubeless eq.: 0,498 �0,032. Rollout settings: Full rollout, 214 games (equiv. 6326 games), played 2-ply (precise), random seed, with race database.
1.	No double	0,755
2.	Double, take	0,752	(-0,002)
3.	Double, pass	1,000	(+0,245)
Proper cube action: No double, take			1%

Groutsos wins 1 point.

Game 9 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	novice	extra-terrestrial
Overall	25,314	0,240
Checker play	7,633	0,093
Double	0,000	0,147
Take	17,681	0,000

Game 10 Match to 19. Score Green-White: 6-8

Move 1 White		Pip: 167
		Game 10 19 point match Green-White: Score 6-8
		Pip: 167

#	Ply	Move	Equity
*1	3	24/20 13/8	0,008
2	3	13/8 13/9	-0,009 (-0,018)
3	3	24/15	-0,015 (-0,024)
4	3	13/4	-0,069 (-0,077)
5	3	13/8 6/2	-0,121 (-0,130)

Move 2 Green		Pip: 158
		Game 10 19 point match Green-White: Score 6-8
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,019
	0,6% 13,4% 49,3% 50,7% 13,8% 0,7%
1.	No double	-0,007
2.	Double, take	-0,317	(-0,310)
3.	Double, pass	1,000	(+1,007)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
*1	3	24/22 13/8	-0,166
2	3	13/8 6/4	-0,185 (-0,020)
3	3	24/22 6/1*	-0,194 (-0,029)
4	3	13/8 13/11	-0,222 (-0,057)
5	3	13/11 6/1*	-0,244 (-0,078)

Move 2 White		Pip: 158
		Game 10 19 point match Green-White: Score 6-8
		Pip: 160

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,133
	0,6% 14,4% 54,5% 45,5% 10,3% 0,4%
1.	No double	0,163
2.	Double, take	-0,090	(-0,254)
3.	Double, pass	1,000	(+0,837)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
*1	2	8/3(2) 6/1(2)	0,803
2	2	20/10 8/3*(2)	0,436 (-0,366)
3	1	13/8 8/3(2) 6/1	0,397 (-0,405)
4	1	20/15 8/3(2) 6/1	0,386 (-0,417)
5	1	20/15 13/8 8/3*(2)	0,381 (-0,422)

Alert: Joker (0,564)

Move 3 Green		Pip: 138
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	bar/21	-0,965

		Pip: 138
		Game 10 19 point match Green-White: Score 6-8
		Pip: 160

	White	Double
3.	Green	Take

Cube action equity
Rollout	Money equity:	0,635
	0,4% 36,7% 66,9% 33,1% 7,1% 0,3%
	95% confidence interval: - money cubeless eq.: 0,635 �0,015. Rollout settings: Full rollout, 720 games (equiv. 28382 games), played 2-ply (precise), random seed, with race database.
1.	Double, pass	1,000
2.	No double	0,771	(-0,229)
3.	Double, take	1,028	(+0,028)
Proper cube action: Double, pass

Move 4 White		Pip: 138
		Game 10 19 point match Green-White: Score 6-8
		Pip: 160

#	Ply	Move	Equity
1	R	13/10(2) 8/5(2)	0,705
		95% confidence interval: - money cubeless eq.: 0,817 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27623 games), played 2-ply (precise), random seed, with race database.
*2	R	13/10(2) 10/4*	0,690 (-0,015)
		95% confidence interval: - money cubeless eq.: 0,812 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26521 games), played 2-ply (precise), random seed, with race database.
3	3	24/21 13/10 8/5(2)	0,608 (-0,097)
4	3	13/7 8/5(2)	0,588 (-0,116)
5	3	24/21 13/4*	0,546 (-0,159)

Move 5 Green		Pip: 126
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	bar/23	-0,803

Move 5 White		Pip: 126
		Game 10 19 point match Green-White: Score 6-8
		Pip: 162

#	Ply	Move	Equity
*1	R	13/7 10/4 8/2*(2)	1,607
		95% confidence interval: - money cubeless eq.: 1,621 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17384 games), played 2-ply (precise), random seed, with race database.
2	R	20/14 10/4 8/2*(2)	1,604 (-0,003)
		95% confidence interval: - money cubeless eq.: 1,618 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21626 games), played 2-ply (precise), random seed, with race database.
3	R	24/18 10/4 8/2*(2)	1,582 (-0,025)
		95% confidence interval: - money cubeless eq.: 1,598 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11523 games), played 2-ply (precise), random seed, with race database.
4	1	24/18 13/7 10/4 8/2*	1,240 (-0,367)
5	1	20/14 13/7 10/4 8/2*	1,226 (-0,381)

Alert: Joker (0,768)

Move 6 Green		Pip: 102
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	Can't move	-1,676

Move 6 White		Pip: 102
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
1	R	20/9	1,730
		95% confidence interval: - money cubeless eq.: 1,729 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22335 games), played 2-ply (precise), random seed, with race database.
2	R	20/14 13/8	1,723 (-0,008)
		95% confidence interval: - money cubeless eq.: 1,722 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19939 games), played 2-ply (precise), random seed, with race database.
3	R	24/18 13/8	1,712 (-0,019)
		95% confidence interval: - money cubeless eq.: 1,714 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10613 games), played 2-ply (precise), random seed, with race database.
*4	R	24/13	1,707 (-0,024)
		95% confidence interval: - money cubeless eq.: 1,709 �0,008. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12898 games), played 2-ply (precise), random seed, with race database.
5	R	24/18 20/15	1,707 (-0,024)
		95% confidence interval: - money cubeless eq.: 1,710 �0,008. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33910 games), played 2-ply (precise), random seed, with race database.

Move 7 Green		Pip: 91
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	bar/20	-1,617

Move 7 White		Pip: 91
		Game 10 19 point match Green-White: Score 6-8
		Pip: 159

#	Ply	Move	Equity
*1	3	20/5* 13/8	1,758
2	3	20/5* 7/2	1,653 (-0,106)
3	2	20/10 13/8(2)	1,613 (-0,146)
4	2	20/5* 6/1	1,608 (-0,151)
5	2	20/10 13/3	1,488 (-0,270)

Move 8 Green		Pip: 71
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	Can't move	-1,909

Move 8 White		Pip: 71
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	3	13/7 5/1	1,839
2	3	8/2 5/1	1,813 (-0,025)
3	3	7/1 5/1	1,792 (-0,047)
4	3	13/3	1,738 (-0,101)
5	3	13/7 8/4	1,725 (-0,114)

Move 9 Green		Pip: 61
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	Can't move	-1,848

Move 9 White		Pip: 61
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	R	7/1 6/4	1,898
		95% confidence interval: - money cubeless eq.: 1,872 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10081 games), played 2-ply (precise), random seed, with race database.
2	R	8/2 6/4	1,897 (-0,001)
		95% confidence interval: - money cubeless eq.: 1,871 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 6578 games), played 2-ply (precise), random seed, with race database.
3	3	8/6 7/1	1,802 (-0,097)
4	3	8/2 7/5	1,661 (-0,237)
5	3	7/1 7/5	1,658 (-0,241)

Move 10 Green		Pip: 53
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	Can't move	-1,850

Move 10 White		Pip: 53
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	R	8/3 7/6	1,907
		95% confidence interval: - money cubeless eq.: 1,883 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 7061 games), played 2-ply (precise), random seed, with race database.
2	R	8/2	1,901 (-0,006)
		95% confidence interval: - money cubeless eq.: 1,877 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 7471 games), played 2-ply (precise), random seed, with race database.
3	3	7/1	1,832 (-0,075)
4	3	7/2 4/3	1,811 (-0,096)
5	3	8/3 4/3	1,803 (-0,103)

Move 11 Green		Pip: 47
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	bar/20	-1,830

Move 11 White		Pip: 47
		Game 10 19 point match Green-White: Score 6-8
		Pip: 159

#	Ply	Move	Equity
*1	R	6/off 4/3	1,929
		95% confidence interval: - money cubeless eq.: 1,908 �0,008. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13673 games), played 2-ply (precise), random seed, with race database.
2	R	6/off 1/off	1,913 (-0,016)
		95% confidence interval: - money cubeless eq.: 1,895 �0,007. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15412 games), played 2-ply (precise), random seed, with race database.
3	3	6/off 3/2	1,862 (-0,067)
4	1	6/off 6/5*	1,279 (-0,650)
5	1	6/off 2/1	1,241 (-0,688)

Move 12 Green		Pip: 40
		Game 10 19 point match Green-White: Score 6-8
		Pip: 159

#	Ply	Move	Equity
*1	1	Can't move	-1,896

Move 12 White		Pip: 40
		Game 10 19 point match Green-White: Score 6-8
		Pip: 159

#	Ply	Move	Equity
*1	2	6/off 6/5*	1,624
2	2	6/off 1/off	1,429 (-0,195)
3	2	6/off 3/2	1,391 (-0,233)
4	1	6/off 4/3	0,846 (-0,778)
5	1	6/off 2/1	0,774 (-0,850)

Move 13 Green		Pip: 33
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	Can't move	-1,941

Move 13 White		Pip: 33
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	5/off 4/off(2) 3/off	1,922

Move 14 Green		Pip: 17
		Game 10 19 point match Green-White: Score 6-8
		Pip: 164

#	Ply	Move	Equity
*1	1	bar/21	-1,810

Move 14 White		Pip: 17
		Game 10 19 point match Green-White: Score 6-8
		Pip: 160

#	Ply	Move	Equity
*1	R	3/off 3/1	1,555
		95% confidence interval: - money cubeless eq.: 1,582 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 7120 games), played 2-ply (precise), random seed, with race database.
2	R	3/off 2/off	1,494 (-0,061)
		95% confidence interval: - money cubeless eq.: 1,530 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 5057 games), played 2-ply (precise), random seed, with race database.

Move 15 Green		Pip: 12
		Game 10 19 point match Green-White: Score 6-8
		Pip: 160

#	Ply	Move	Equity
1	R	bar/22* 6/5	-0,453
		95% confidence interval: - money cubeless eq.: -0,614 �0,029. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 10997 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/22* 13/12	-0,460 (-0,008)
		95% confidence interval: - money cubeless eq.: -0,613 �0,023. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 12917 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22* 8/7	-0,567 (-0,114)
4	3	bar/22* 21/20	-0,603 (-0,151)
5	2	bar/22*/21	-0,763 (-0,310)

Alert: Joker (1,005)

Move 15 White		Pip: 34
		Game 10 19 point match Green-White: Score 6-8
		Pip: 156

#	Ply	Move	Equity
*1	1	bar/20 2/1	0,193

Move 16 Green		Pip: 28
		Game 10 19 point match Green-White: Score 6-8
		Pip: 156

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,397
	0,0% 0,0% 46,9% 53,1% 31,2% 2,3%
1.	No redouble	-0,193
2.	Redouble, take	-0,710	(-0,517)
3.	Redouble, pass	1,000	(+1,193)
Proper cube action: No redouble, take			30%

#	Ply	Move	Equity
*1	R	22/16 21/15 13/7(2)	-0,555
		95% confidence interval: - money cubeless eq.: -0,681 �0,033. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 6872 games), played 2-ply (precise), random seed, with race database.
2	R	21/15 13/7 8/2(2)	-0,588 (-0,034)
		95% confidence interval: - money cubeless eq.: -0,714 �0,039. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 4776 games), played 2-ply (precise), random seed, with race database.
3	3	21/15 13/7(2) 8/2	-0,574 (-0,019)
4	3	22/16 13/7(2) 8/2	-0,582 (-0,028)
5	3	22/16 13/7 8/2(2)	-0,591 (-0,036)

Move 16 White		Pip: 28
		Game 10 19 point match Green-White: Score 6-8
		Pip: 132

#	Ply	Move	Equity
*1	1	20/10*	0,944

Move 17 Green		Pip: 18
		Game 10 19 point match Green-White: Score 6-8
		Pip: 142

#	Ply	Move	Equity
*1	R	bar/22 16/10	-1,671
		95% confidence interval: - money cubeless eq.: -1,680 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 6176 games), played 2-ply (precise), random seed, with race database.
2	R	bar/22 8/2	-1,699 (-0,028)
		95% confidence interval: - money cubeless eq.: -1,706 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 6819 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22 13/7	-1,666 ( 0,005)
4	3	bar/22 12/6	-1,668 ( 0,003)
5	3	bar/22 7/1	-1,681 (-0,010)

Alert: Anti-joker (0,740)

Move 17 White		Pip: 18
		Game 10 19 point match Green-White: Score 6-8
		Pip: 133

#	Ply	Move	Equity
*1	1	10/2 2/off(2)	2,033

Move 18 Green		Pip: 6
		Game 10 19 point match Green-White: Score 6-8
		Pip: 133

Groutsos wins 4 points.

Game 10 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	extra-terrestrial	world class
Overall	1,160	1,253
Checker play	0,254	1,253
Double	0,000	0,000
Take	0,907	0,000

Game 11 Match to 19. Score Green-White: 6-12

Move 1 White		Pip: 167
		Game 11 19 point match Green-White: Score 6-12
		Pip: 167

#	Ply	Move	Equity
*1	2	8/5 6/5	0,130
2	2	13/10 6/5	-0,092 (-0,222)
3	2	24/23 13/10	-0,095 (-0,226)
4	2	24/21 6/5	-0,107 (-0,238)
5	2	13/9	-0,109 (-0,240)

Move 2 Green		Pip: 163
		Game 11 19 point match Green-White: Score 6-12
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,161
	0,6% 12,1% 44,7% 55,3% 17,4% 0,8%
1.	No double	-0,126
2.	Double, take	-0,422	(-0,296)
3.	Double, pass	1,000	(+1,126)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
1	R	24/22(2) 6/4(2)	0,104
		95% confidence interval: - money cubeless eq.: 0,027 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 39348 games), played 2-ply (precise), random seed, with race database.
*2	R	13/11(2) 6/4(2)	0,071 (-0,033)
		95% confidence interval: - money cubeless eq.: -0,004 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30494 games), played 2-ply (precise), random seed, with race database.
3	3	24/22 13/11 6/4(2)	0,050 (-0,054)
4	3	13/9 6/4(2)	0,021 (-0,082)
5	3	13/11 8/6 6/4(2)	-0,017 (-0,121)

Move 2 White		Pip: 163
		Game 11 19 point match Green-White: Score 6-12
		Pip: 159

#	Ply	Move	Equity
1	R	24/18 13/9	-0,213
		95% confidence interval: - money cubeless eq.: -0,072 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28476 games), played 2-ply (precise), random seed, with race database.
*2	R	8/2 6/2	-0,335 (-0,122)
		95% confidence interval: - money cubeless eq.: -0,159 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25247 games), played 2-ply (precise), random seed, with race database.
3	3	13/7 13/9	-0,291 (-0,079)
4	3	24/20 13/7	-0,302 (-0,089)
5	3	13/3	-0,354 (-0,142)

Alert: Blunder (0,122)

Move 3 Green		Pip: 153
		Game 11 19 point match Green-White: Score 6-12
		Pip: 159

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,178
	1,2% 17,6% 57,1% 42,9% 14,3% 0,8%
1.	No double	0,377
2.	Double, take	0,305	(-0,072)
3.	Double, pass	1,000	(+0,623)
Proper cube action: No double, take			10%

#	Ply	Move	Equity
*1	R	13/4	0,075
		95% confidence interval: - money cubeless eq.: -0,005 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19869 games), played 2-ply (precise), random seed, with race database.
2	R	13/9 11/6	0,038 (-0,037)
		95% confidence interval: - money cubeless eq.: -0,033 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 29627 games), played 2-ply (precise), random seed, with race database.
3	3	11/6 8/4	-0,015 (-0,090)
4	3	13/9 8/3	-0,023 (-0,098)
5	3	11/6 11/7	-0,029 (-0,104)

Move 3 White		Pip: 153
		Game 11 19 point match Green-White: Score 6-12
		Pip: 150

#	Ply	Move	Equity
*1	3	13/8	-0,184
2	3	13/9 6/5	-0,339 (-0,155)
3	2	24/23 13/9	-0,330 (-0,146)
4	2	13/9 8/7	-0,342 (-0,158)
5	2	24/20 24/23	-0,364 (-0,179)

Move 4 Green		Pip: 148
		Game 11 19 point match Green-White: Score 6-12
		Pip: 150

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,053
	1,1% 16,7% 52,3% 47,7% 16,2% 0,9%
1.	No double	0,187
2.	Double, take	0,047	(-0,140)
3.	Double, pass	1,000	(+0,813)
Proper cube action: No double, take			15%

#	Ply	Move	Equity
*1	R	8/2 4/2	0,052
		95% confidence interval: - money cubeless eq.: -0,024 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18896 games), played 2-ply (precise), random seed, with race database.
2	R	24/16	0,047 (-0,005)
		95% confidence interval: - money cubeless eq.: -0,035 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23501 games), played 2-ply (precise), random seed, with race database.
3	3	24/18 8/6	-0,070 (-0,122)
4	2	24/18 24/22	-0,126 (-0,178)
5	2	13/7 13/11	-0,144 (-0,196)

Move 4 White		Pip: 148
		Game 11 19 point match Green-White: Score 6-12
		Pip: 142

#	Ply	Move	Equity
*1	R	13/7 13/9	-0,292
		95% confidence interval: - money cubeless eq.: -0,124 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22573 games), played 2-ply (precise), random seed, with race database.
2	R	13/3	-0,337 (-0,045)
		95% confidence interval: - money cubeless eq.: -0,146 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16231 games), played 2-ply (precise), random seed, with race database.
3	3	24/18 13/9	-0,355 (-0,063)
4	2	24/20 13/7	-0,447 (-0,155)
5	2	13/7 6/2	-0,462 (-0,170)

Move 5 Green		Pip: 138
		Game 11 19 point match Green-White: Score 6-12
		Pip: 142

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,111
	1,7% 20,2% 53,2% 46,8% 16,2% 1,1%
1.	No double	0,282
2.	Double, take	0,182	(-0,101)
3.	Double, pass	1,000	(+0,718)
Proper cube action: No double, take			12%

#	Ply	Move	Equity
*1	R	11/9 11/10	-0,146
		95% confidence interval: - money cubeless eq.: -0,176 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15756 games), played 2-ply (precise), random seed, with race database.
2	R	11/8	-0,184 (-0,038)
		95% confidence interval: - money cubeless eq.: -0,197 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21195 games), played 2-ply (precise), random seed, with race database.
3	3	11/9 6/5	-0,178 (-0,032)
4	3	8/5	-0,233 (-0,087)
5	3	11/10 6/4	-0,238 (-0,092)

Move 5 White		Pip: 138
		Game 11 19 point match Green-White: Score 6-12
		Pip: 139

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,177
	1,7% 21,3% 56,0% 44,0% 16,4% 1,0%
1.	No double	0,128
2.	Double, take	-0,281	(-0,409)
3.	Double, pass	1,000	(+0,872)
Proper cube action: No double, take			32%

#	Ply	Move	Equity
*1	3	13/7 13/8	-0,052
2	3	13/7 9/4	-0,136 (-0,084)
3	3	24/13	-0,146 (-0,094)
4	3	9/3 8/3	-0,148 (-0,096)
5	1	13/7 8/3	-0,480 (-0,428)

Move 6 Green		Pip: 127
		Game 11 19 point match Green-White: Score 6-12
		Pip: 139

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,111
	1,0% 13,9% 46,4% 53,6% 17,4% 1,3%
1.	No double	-0,050
2.	Double, take	-0,301	(-0,251)
3.	Double, pass	1,000	(+1,050)
Proper cube action: No double, take			19%

#	Ply	Move	Equity
*1	1	24/21(2) 8/5(2)	0,706
2	1	24/21(2) 13/10(2)	0,257 (-0,449)
3	1	24/21(2) 10/4	0,232 (-0,474)
4	1	24/21(2) 13/10 9/6	0,210 (-0,496)
5	1	24/21(2) 9/3	0,083 (-0,623)

Alert: Joker (0,756)

Move 6 White		Pip: 127
		Game 11 19 point match Green-White: Score 6-12
		Pip: 127

#	Ply	Move	Equity
*1	3	9/3	-1,000
2	3	9/8 6/1	-1,000 (-0,000)
3	3	8/3 6/5	-1,000 (-0,000)
4	3	6/1 2/1	-1,000 (-0,000)
5	3	8/2	-1,000 (-0,000)

		Pip: 121
		Game 11 19 point match Green-White: Score 6-12
		Pip: 127

7.	Green	Double
	White	Take

Cube action equity		Alert: Wrong take
Rollout	Money equity:	0,625
	0,8% 20,6% 73,3% 26,7% 5,4% 0,2%
	95% confidence interval: - money cubeless eq.: 0,625 �0,019. Rollout settings: Full rollout, 360 games (equiv. 13051 games), played 2-ply (precise), random seed, with race database.
1.	Double, pass	1,000
2.	No double	0,923	(-0,077)
3.	Double, take	1,188	(+0,188)
Proper cube action: Double, pass

Move 8 Green		Pip: 121
		Game 11 19 point match Green-White: Score 6-12
		Pip: 127

#	Ply	Move	Equity
1	R	13/12 10/4	0,515
		95% confidence interval: - money cubeless eq.: 0,549 �0,015. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 21228 games), played 2-ply (precise), random seed, with race database.
2	R	10/4 6/5	0,510 (-0,006)
		95% confidence interval: - money cubeless eq.: 0,541 �0,013. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 30811 games), played 2-ply (precise), random seed, with race database.
*3	R	10/4 9/8	0,479 (-0,036)
		95% confidence interval: - money cubeless eq.: 0,512 �0,017. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 21717 games), played 2-ply (precise), random seed, with race database.
4	3	13/6	0,451 (-0,064)
5	3	13/7 10/9	0,393 (-0,122)

Move 8 White		Pip: 121
		Game 11 19 point match Green-White: Score 6-12
		Pip: 120

#	Ply	Move	Equity
*1	3	6/3	-0,477
2	3	8/5	-0,511 (-0,033)
3	3	8/7 3/1	-0,559 (-0,081)
4	3	7/5 7/6	-0,560 (-0,083)
5	3	3/1 2/1	-0,562 (-0,085)

Move 9 Green		Pip: 118
		Game 11 19 point match Green-White: Score 6-12
		Pip: 120

#	Ply	Move	Equity
*1	R	13/9(2)	0,391
		95% confidence interval: - money cubeless eq.: 0,429 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14393 games), played 2-ply (precise), random seed, with race database.
2	R	13/5	0,384 (-0,008)
		95% confidence interval: - money cubeless eq.: 0,421 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13331 games), played 2-ply (precise), random seed, with race database.
3	3	13/11(2) 11/9 8/6	0,377 (-0,015)
4	3	13/9 8/4	0,376 (-0,015)
5	3	13/11(2) 8/4	0,358 (-0,034)

Move 9 White		Pip: 118
		Game 11 19 point match Green-White: Score 6-12
		Pip: 112

#	Ply	Move	Equity
*1	3	8/3	-0,528
2	3	8/5 3/1	-0,603 (-0,075)
3	3	8/5 7/5	-0,651 (-0,123)
4	3	8/5 8/6	-0,652 (-0,124)
5	3	24/22 8/5	-0,670 (-0,142)

Move 10 Green		Pip: 113
		Game 11 19 point match Green-White: Score 6-12
		Pip: 112

#	Ply	Move	Equity
*1	3	9/5 8/6	0,456
2	3	8/2	0,413 (-0,043)
3	3	9/5 4/2	0,301 (-0,155)
4	2	9/5 6/4	0,255 (-0,201)
5	2	9/3	0,202 (-0,254)

Move 10 White		Pip: 113
		Game 11 19 point match Green-White: Score 6-12
		Pip: 106

#	Ply	Move	Equity
*1	1	24/13	-0,299
2	1	7/1 7/2	-0,654 (-0,355)
3	1	8/2 8/3	-0,714 (-0,415)
4	1	24/18 7/2	-0,829 (-0,530)
5	1	24/18 8/3	-0,832 (-0,533)

Move 11 Green		Pip: 102
		Game 11 19 point match Green-White: Score 6-12
		Pip: 106

#	Ply	Move	Equity
1	R	6/1* 5/1	0,599
		95% confidence interval: - money cubeless eq.: 0,617 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14468 games), played 2-ply (precise), random seed, with race database.
*2	R	21/12*	0,591 (-0,007)
		95% confidence interval: - money cubeless eq.: 0,591 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14446 games), played 2-ply (precise), random seed, with race database.
3	1	21/16 5/1*	0,047 (-0,551)
4	1	9/5 6/1*	0,035 (-0,564)
5	1	6/1* 6/2	-0,027 (-0,626)

Move 11 White		Pip: 114
		Game 11 19 point match Green-White: Score 6-12
		Pip: 97

#	Ply	Move	Equity
*1	1	bar/22 24/22	-0,171
2	1	bar/22 3/1	-0,804 (-0,634)
3	1	bar/22 8/6	-0,899 (-0,728)
4	1	bar/22 6/4*	-0,912 (-0,741)
5	1	bar/22 7/5	-0,919 (-0,749)

Alert: Joker (0,527)

Move 12 Green		Pip: 109
		Game 11 19 point match Green-White: Score 6-12
		Pip: 97

#	Ply	Move	Equity
*1	2	21/15 12/9	0,530
2	2	21/15 9/6	0,343 (-0,186)
3	1	21/12	0,135 (-0,395)
4	1	12/6 9/6	-0,092 (-0,621)
5	1	21/15 4/1	-0,158 (-0,687)

Move 12 White		Pip: 109
		Game 11 19 point match Green-White: Score 6-12
		Pip: 88

#	Ply	Move	Equity
1	R	7/6 3/1	-0,622
		95% confidence interval: - money cubeless eq.: -0,657 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25717 games), played 2-ply (precise), random seed, with race database.
2	R	8/5	-0,627 (-0,005)
		95% confidence interval: - money cubeless eq.: -0,660 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22268 games), played 2-ply (precise), random seed, with race database.
*3	R	7/4	-0,630 (-0,008)
		95% confidence interval: - money cubeless eq.: -0,666 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23946 games), played 2-ply (precise), random seed, with race database.
4	R	8/6 3/2	-0,632 (-0,010)
		95% confidence interval: - money cubeless eq.: -0,664 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25222 games), played 2-ply (precise), random seed, with race database.
5	R	3/1 2/1	-0,635 (-0,013)
		95% confidence interval: - money cubeless eq.: -0,665 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22218 games), played 2-ply (precise), random seed, with race database.

Move 13 Green		Pip: 106
		Game 11 19 point match Green-White: Score 6-12
		Pip: 88

#	Ply	Move	Equity
1	R	15/6 4/1	0,649
		95% confidence interval: - money cubeless eq.: 0,682 �0,007. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 53595 games), played 2-ply (precise), random seed, with race database.
2	R	15/12 9/6(2) 4/1	0,643 (-0,006)
		95% confidence interval: - money cubeless eq.: 0,674 �0,009. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 38448 games), played 2-ply (precise), random seed, with race database.
*3	R	15/12 9/6(2) 5/2	0,633 (-0,016)
		95% confidence interval: - money cubeless eq.: 0,663 �0,009. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 30224 games), played 2-ply (precise), random seed, with race database.
4	3	15/6 5/2	0,613 (-0,036)
5	3	15/9 5/2 4/1	0,601 (-0,048)

Move 13 White		Pip: 106
		Game 11 19 point match Green-White: Score 6-12
		Pip: 76

#	Ply	Move	Equity
*1	3	8/6 7/4	-0,719
2	3	7/4 3/1	-0,731 (-0,012)
3	3	8/5 8/6	-0,752 (-0,033)
4	3	4/1 3/1	-0,756 (-0,037)
5	3	8/5 3/1	-0,763 (-0,044)

Move 14 Green		Pip: 101
		Game 11 19 point match Green-White: Score 6-12
		Pip: 76

#	Ply	Move	Equity
*1	1	12/5	0,837
2	1	6/2 4/1	0,452 (-0,385)
3	1	5/1 5/2	0,290 (-0,547)
4	1	12/8 4/1	0,100 (-0,737)
5	1	12/9 6/2	-0,023 (-0,860)

Move 14 White		Pip: 101
		Game 11 19 point match Green-White: Score 6-12
		Pip: 69

#	Ply	Move	Equity
1	R	22/12	-0,848
		95% confidence interval: - money cubeless eq.: -0,864 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13449 games), played 2-ply (precise), random seed, with race database.
2	R	22/16 8/4	-0,849 (-0,002)
		95% confidence interval: - money cubeless eq.: -0,867 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13262 games), played 2-ply (precise), random seed, with race database.
*3	R	22/16 22/18	-0,877 (-0,029)
		95% confidence interval: - money cubeless eq.: -0,890 �0,002. Rollout settings: Truncated rollout, depth 11, 144 games, played 2-ply (precise), random seed, with race database.
4	3	8/2 5/1	-0,864 (-0,017)
5	3	22/18 8/2	-0,866 (-0,018)

Move 15 Green		Pip: 91
		Game 11 19 point match Green-White: Score 6-12
		Pip: 69

#	Ply	Move	Equity
*1	3	6/off 5/off	0,931
2	3	6/off 6/1	0,925 (-0,005)

Move 15 White		Pip: 91
		Game 11 19 point match Green-White: Score 6-12
		Pip: 58

#	Ply	Move	Equity
*1	D	18/6 16/4	-0,618
2	3	18/6 16/10 8/2	-0,636 (-0,018)
3	3	18/12 16/4 8/2	-0,651 (-0,033)

Move 16 Green		Pip: 67
		Game 11 19 point match Green-White: Score 6-12
		Pip: 58

#	Ply	Move	Equity
*1	D	5/off 2/off	0,601
2	D	6/1 2/off	0,596 (-0,005)
3	D	6/4 5/off	0,554 (-0,047)
4	D	6/1 6/4	0,539 (-0,062)
5	D	5/off 5/3	0,534 (-0,067)

Move 16 White		Pip: 67
		Game 11 19 point match Green-White: Score 6-12
		Pip: 51

#	Ply	Move	Equity
*1	D	8/5	-0,777
2	D	8/6 2/1	-0,785 (-0,008)
3	D	6/5 3/1	-0,791 (-0,014)
4	D	8/6 3/2	-0,794 (-0,017)
5	D	8/6 5/4	-0,802 (-0,025)

Move 17 Green		Pip: 64
		Game 11 19 point match Green-White: Score 6-12
		Pip: 51

#	Ply	Move	Equity
*1	D	6/5 4/off	0,697
2	D	4/off 2/1	0,681 (-0,016)
3	D	4/off 4/3	0,673 (-0,023)
4	D	6/2 6/5	0,664 (-0,033)
5	D	5/off	0,663 (-0,034)

Move 17 White		Pip: 64
		Game 11 19 point match Green-White: Score 6-12
		Pip: 46

#	Ply	Move	Equity
*1	D	5/off 3/off	-0,716
2	D	6/1 3/off	-0,739 (-0,023)
3	D	5/off 4/1	-0,766 (-0,050)
4	D	6/3 5/off	-0,777 (-0,061)
5	D	5/off 5/2	-0,797 (-0,081)

Move 18 Green		Pip: 56
		Game 11 19 point match Green-White: Score 6-12
		Pip: 46

#	Ply	Move	Equity
*1	D	5/off 4/off	0,764
2	D	6/1 4/off	0,753 (-0,011)
3	D	6/2 5/off	0,737 (-0,027)
4	D	6/1 6/2	0,713 (-0,050)
5	D	5/off 5/1	0,712 (-0,052)

Move 18 White		Pip: 56
		Game 11 19 point match Green-White: Score 6-12
		Pip: 37

#	Ply	Move	Equity
*1	D	5/off 2/off	-0,810
2	D	6/1 2/off	-0,829 (-0,019)
3	D	5/off 3/1	-0,851 (-0,041)
4	D	6/4 5/off	-0,851 (-0,041)
5	D	5/off 4/2	-0,870 (-0,060)

Move 19 Green		Pip: 49
		Game 11 19 point match Green-White: Score 6-12
		Pip: 37

#	Ply	Move	Equity
*1	D	5/off 2/off	0,812
2	D	6/1 2/off	0,808 (-0,004)
3	D	6/4 5/off	0,790 (-0,022)
4	D	6/1 6/4	0,783 (-0,029)
5	D	6/1 5/3	0,742 (-0,070)

Move 19 White		Pip: 49
		Game 11 19 point match Green-White: Score 6-12
		Pip: 30

#	Ply	Move	Equity
*1	D	6/off	-0,892
2	D	5/off 3/2	-0,911 (-0,019)
3	D	5/off 4/3	-0,915 (-0,022)
4	D	5/off 2/1	-0,915 (-0,023)
5	D	6/1 6/5	-0,919 (-0,027)

Move 20 Green		Pip: 43
		Game 11 19 point match Green-White: Score 6-12
		Pip: 30

#	Ply	Move	Equity
*1	D	6/5 2/off	0,775
2	D	6/4 6/5	0,763 (-0,012)
3	D	4/3 2/off	0,751 (-0,023)
4	D	6/3	0,747 (-0,028)
5	D	6/4 2/1	0,709 (-0,066)

Move 20 White		Pip: 43
		Game 11 19 point match Green-White: Score 6-12
		Pip: 27

#	Ply	Move	Equity
*1	D	6/5 4/off	-0,878
2	D	4/off 3/2	-0,888 (-0,010)
3	D	4/off 2/1	-0,891 (-0,013)
4	D	5/off	-0,895 (-0,017)
5	D	4/off 4/3	-0,895 (-0,017)

Move 21 Green		Pip: 38
		Game 11 19 point match Green-White: Score 6-12
		Pip: 27

#	Ply	Move	Equity
*1	D	6/3 5/off	0,904
2	D	6/1 6/3	0,893 (-0,011)
3	D	5/off 4/1	0,873 (-0,031)
4	D	6/1 5/2	0,865 (-0,039)
5	D	6/1 4/1	0,840 (-0,063)

Move 21 White		Pip: 38
		Game 11 19 point match Green-White: Score 6-12
		Pip: 19

#	Ply	Move	Equity
*1	D	6/off 5/off	-0,879
2	D	6/off 6/1	-0,899 (-0,020)

Move 22 Green		Pip: 27
		Game 11 19 point match Green-White: Score 6-12
		Pip: 19

#	Ply	Move	Equity
*1	D	6/1 4/off	0,950
2	D	6/1 6/2	0,933 (-0,017)

Move 22 White		Pip: 27
		Game 11 19 point match Green-White: Score 6-12
		Pip: 10

#	Ply	Move	Equity
1	D	6/5 4/off	-0,985
2	D	4/off 2/1	-0,988 (-0,004)
3	D	4/off 3/2	-0,989 (-0,004)
*4	D	5/off	-0,989 (-0,005)
5	D	4/off 4/3	-0,991 (-0,006)

Move 23 Green		Pip: 22
		Game 11 19 point match Green-White: Score 6-12
		Pip: 10

#	Ply	Move	Equity
*1	D	6/2 3/off	0,999
2	D	6/off	0,993 (-0,007)

Move 23 White		Pip: 22
		Game 11 19 point match Green-White: Score 6-12
		Pip: 3

Michihito wins 2 points.

Game 11 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	advanced
Overall	2,178	8,393
Checker play	2,178	3,909
Double	0,000	0,000
Take	0,000	4,485

Game 12 Match to 19. Score Green-White: 8-12

Move 1 Green		Pip: 167
		Game 12 19 point match Green-White: Score 8-12
		Pip: 167

#	Ply	Move	Equity
1	R	24/20 13/8	0,090
		95% confidence interval: - money cubeless eq.: 0,028 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 37822 games), played 2-ply (precise), random seed, with race database.
*2	R	13/8 13/9	0,074 (-0,015)
		95% confidence interval: - money cubeless eq.: 0,018 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 44060 games), played 2-ply (precise), random seed, with race database.
3	3	24/15	0,054 (-0,036)
4	3	13/4	0,008 (-0,081)
5	3	13/8 6/2	-0,043 (-0,132)

Move 1 White		Pip: 167
		Game 12 19 point match Green-White: Score 8-12
		Pip: 158

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,010
	0,7% 13,9% 50,2% 49,8% 15,2% 0,7%
1.	No double	-0,068
2.	Double, take	-0,567	(-0,499)
3.	Double, pass	1,000	(+1,068)
Proper cube action: No double, take			32%

#	Ply	Move	Equity
1	R	24/22(2) 6/4(2)	0,213
		95% confidence interval: - money cubeless eq.: 0,198 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26674 games), played 2-ply (precise), random seed, with race database.
*2	R	13/11(2) 6/4(2)	0,155 (-0,058)
		95% confidence interval: - money cubeless eq.: 0,158 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19162 games), played 2-ply (precise), random seed, with race database.
3	R	24/16*	0,094 (-0,119)
		95% confidence interval: - money cubeless eq.: 0,107 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33302 games), played 2-ply (precise), random seed, with race database.
4	3	13/9 6/4(2)	0,076 (-0,137)
5	3	24/20(2)	0,066 (-0,146)

Move 2 Green		Pip: 159
		Game 12 19 point match Green-White: Score 8-12
		Pip: 158

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,142
	0,6% 13,4% 44,8% 55,2% 17,0% 0,8%
1.	No double	-0,130
2.	Double, take	-0,455	(-0,325)
3.	Double, pass	1,000	(+1,130)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	3	9/3 6/3	-0,264
2	3	24/15	-0,334 (-0,070)
3	2	24/18 9/6	-0,410 (-0,146)
4	2	24/18 13/10	-0,470 (-0,206)
5	2	13/4	-0,473 (-0,209)

Move 2 White		Pip: 159
		Game 12 19 point match Green-White: Score 8-12
		Pip: 149

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,230
	1,0% 18,3% 58,8% 41,2% 13,1% 0,7%
1.	No double	0,263
2.	Double, take	0,010	(-0,253)
3.	Double, pass	1,000	(+0,737)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	2	11/7 8/7	0,292
2	2	13/9 6/5	0,046 (-0,246)
3	2	13/8	0,045 (-0,247)
4	2	24/23 13/9	0,038 (-0,254)
5	2	13/9 11/10	0,026 (-0,266)

Move 3 Green		Pip: 154
		Game 12 19 point match Green-White: Score 8-12
		Pip: 149

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,250
	0,8% 12,8% 40,7% 59,3% 19,1% 0,9%
1.	No double	-0,273
2.	Double, take	-0,680	(-0,407)
3.	Double, pass	1,000	(+1,273)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
*1	3	24/16	-0,327
2	3	24/22 8/2	-0,476 (-0,149)
3	3	24/22 13/7	-0,488 (-0,161)
4	2	13/5	-0,544 (-0,216)
5	1	13/7 8/6	-0,693 (-0,365)

Move 3 White		Pip: 154
		Game 12 19 point match Green-White: Score 8-12
		Pip: 141

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,291
	1,0% 20,5% 59,9% 40,1% 11,6% 0,7%
1.	No double	0,342
2.	Double, take	0,153	(-0,189)
3.	Double, pass	1,000	(+0,658)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	R	24/18 13/9*	0,399
		95% confidence interval: - money cubeless eq.: 0,318 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18644 games), played 2-ply (precise), random seed, with race database.
2	R	13/7 13/9*	0,393 (-0,006)
		95% confidence interval: - money cubeless eq.: 0,310 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18053 games), played 2-ply (precise), random seed, with race database.
3	3	13/9* 11/5	0,280 (-0,119)
4	2	13/9* 7/1*	0,191 (-0,208)
5	2	13/9*/3	0,151 (-0,248)

Move 4 Green		Pip: 144
		Game 12 19 point match Green-White: Score 8-12
		Pip: 150

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,300
	0,7% 13,2% 38,5% 61,5% 20,1% 0,9%
1.	No double	-0,341
2.	Double, take	-0,787	(-0,446)
3.	Double, pass	1,000	(+1,341)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	3	bar/24 8/7* 6/5(2)	0,093
2	3	bar/23 8/7*(2)	-0,030 (-0,123)
3	2	bar/22 8/7*	-0,218 (-0,311)
4	2	bar/24 8/7*(2) 6/5	-0,245 (-0,339)
5	1	bar/23 8/7*/6	-0,290 (-0,383)

Move 4 White		Pip: 151
		Game 12 19 point match Green-White: Score 8-12
		Pip: 146

#	Ply	Move	Equity
1	R	bar/23 13/11(2) 11/9	0,105
		95% confidence interval: - money cubeless eq.: 0,124 �0,018. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 20831 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/23 11/9 7/5(2)	0,091 (-0,014)
		95% confidence interval: - money cubeless eq.: 0,123 �0,019. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 17247 games), played 2-ply (precise), random seed, with race database.
3	3	bar/21 7/5(2)	0,018 (-0,087)
4	2	bar/21 11/9 6/4	-0,015 (-0,119)
5	2	bar/21 13/11(2)	-0,083 (-0,188)

Move 5 Green		Pip: 143
		Game 12 19 point match Green-White: Score 8-12
		Pip: 146

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,162
	0,9% 15,4% 43,9% 56,1% 19,1% 1,1%
1.	No double	-0,147
2.	Double, take	-0,478	(-0,330)
3.	Double, pass	1,000	(+1,147)
Proper cube action: No double, take			22%

#	Ply	Move	Equity
*1	R	8/6 7/2*	-0,340
		95% confidence interval: - money cubeless eq.: -0,281 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22805 games), played 2-ply (precise), random seed, with race database.
2	R	24/22 7/2*	-0,373 (-0,033)
		95% confidence interval: - money cubeless eq.: -0,312 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24763 games), played 2-ply (precise), random seed, with race database.
3	3	13/8 7/5	-0,457 (-0,117)
4	3	13/11 7/2*	-0,465 (-0,125)
5	3	8/3 7/5	-0,486 (-0,146)

Move 5 White		Pip: 145
		Game 12 19 point match Green-White: Score 8-12
		Pip: 139

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,327
	1,7% 21,8% 62,1% 37,9% 14,3% 0,8%
1.	No double	0,410
2.	Double, take	0,219	(-0,192)
3.	Double, pass	1,000	(+0,590)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
1	R	bar/23* 13/9	0,458
		95% confidence interval: - money cubeless eq.: 0,395 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16865 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/23* 9/5	0,429 (-0,029)
		95% confidence interval: - money cubeless eq.: 0,379 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19667 games), played 2-ply (precise), random seed, with race database.
3	2	bar/23* 6/2	0,343 (-0,116)
4	2	bar/23* 8/4	0,300 (-0,158)
5	2	bar/21 6/4	0,261 (-0,197)

Move 6 Green		Pip: 139
		Game 12 19 point match Green-White: Score 8-12
		Pip: 162

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,384
	0,8% 12,6% 38,6% 61,4% 26,6% 2,4%
1.	No double	-0,417
2.	Double, take	-0,883	(-0,466)
3.	Double, pass	1,000	(+1,417)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	R	bar/23 6/2*	-0,463
		95% confidence interval: - money cubeless eq.: -0,389 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26479 games), played 2-ply (precise), random seed, with race database.
2	R	bar/23 13/9	-0,498 (-0,036)
		95% confidence interval: - money cubeless eq.: -0,406 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17846 games), played 2-ply (precise), random seed, with race database.
3	1	bar/23 8/4	-1,000 (-0,537)
4	1	bar/23 5/1*	-1,000 (-0,537)

Move 6 White		Pip: 141
		Game 12 19 point match Green-White: Score 8-12
		Pip: 156

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,399
	3,1% 28,5% 61,5% 38,5% 13,8% 0,9%
1.	No double	0,475
2.	Double, take	0,332	(-0,143)
3.	Double, pass	1,000	(+0,525)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
*1	3	bar/15	0,421
2	3	bar/21 8/2*	0,311 (-0,110)
3	3	bar/21 24/18	0,288 (-0,133)
4	2	bar/21 9/3	0,217 (-0,204)
5	1	bar/21 13/7	-0,042 (-0,463)

Move 7 Green		Pip: 131
		Game 12 19 point match Green-White: Score 8-12
		Pip: 156

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,392
	1,0% 14,8% 37,4% 62,6% 27,1% 2,7%
1.	No double	-0,424
2.	Double, take	-0,896	(-0,472)
3.	Double, pass	1,000	(+1,424)
Proper cube action: No double, take			25%

#	Ply	Move	Equity
*1	3	24/23 23/22(2) 2/1*	-0,427
2	3	24/23(2) 23/22 2/1*	-0,534 (-0,107)
3	3	23/22 8/7(2) 2/1*	-0,574 (-0,147)
4	3	24/23 8/7(2) 2/1*	-0,580 (-0,153)
5	2	23/22 8/6 2/1*	-0,579 (-0,152)

Move 7 White		Pip: 132
		Game 12 19 point match Green-White: Score 8-12
		Pip: 152

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,340
	1,8% 22,3% 61,9% 38,1% 13,0% 0,7%
1.	No double	0,446
2.	Double, take	0,252	(-0,195)
3.	Double, pass	1,000	(+0,554)
Proper cube action: No double, take			26%

#	Ply	Move	Equity
*1	2	bar/21 9/6	0,427
2	2	bar/18	0,243 (-0,183)
3	1	bar/21 5/2	0,089 (-0,338)
4	1	bar/21 13/10	0,023 (-0,404)
5	1	bar/21 8/5	-0,214 (-0,641)

Move 8 Green		Pip: 125
		Game 12 19 point match Green-White: Score 8-12
		Pip: 152

#	Ply	Move	Equity
*1	1	13/4*	-0,526
2	1	8/3 8/4*	-0,907 (-0,381)
3	1	13/8 5/1	-1,000 (-0,474)
4	1	6/1 6/2	-1,000 (-0,474)
5	1	22/13	-1,000 (-0,474)

Move 8 White		Pip: 129
		Game 12 19 point match Green-White: Score 8-12
		Pip: 143

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,431
	2,4% 27,5% 63,1% 36,9% 12,4% 0,6%
1.	No double	0,539
2.	Double, take	0,445	(-0,094)
3.	Double, pass	1,000	(+0,461)
Proper cube action: No double, take			17%

#	Ply	Move	Equity
*1	3	bar/24*/18	0,720
2	3	bar/24* 15/9	0,625 (-0,095)
3	1	bar/24* 13/7	0,312 (-0,408)
4	1	bar/24* 8/2	0,184 (-0,537)

Move 9 Green		Pip: 122
		Game 12 19 point match Green-White: Score 8-12
		Pip: 167

#	Ply	Move	Equity
1	R	bar/22 8/4	-0,614
		95% confidence interval: - money cubeless eq.: -0,461 �0,018. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 19466 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/18	-0,751 (-0,137)
		95% confidence interval: - money cubeless eq.: -0,546 �0,019. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 17645 games), played 2-ply (precise), random seed, with race database.
3	2	bar/22 5/1	-1,000 (-0,386)
4	2	bar/22 6/2	-1,001 (-0,387)
5	2	bar/22 13/9	-1,065 (-0,450)

Alert: Blunder (0,137)

		Pip: 122
		Game 12 19 point match Green-White: Score 8-12
		Pip: 160

	White	Double
9.	Green	Take

Cube action equity
Rollout	Money equity:	0,548
	1,6% 31,1% 65,7% 34,3% 8,7% 0,5%
	95% confidence interval: - money cubeless eq.: 0,548 �0,025, - live cube no double: 0,670 �0,060, - live cube double take: 0,758 �0,079. Rollout settings: Full rollout, 324 games (equiv. 9689 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, take	0,735
2.	No double	0,689	(-0,046)
3.	Double, pass	1,000	(+0,265)
Proper cube action: Double, take
Live cube
1.	Double, take	0,758
2.	No double	0,670	(-0,087)
3.	Double, pass	1,000	(+0,242)
Proper cube action: Double, take

Move 10 White		Pip: 122
		Game 12 19 point match Green-White: Score 8-12
		Pip: 160

#	Ply	Move	Equity
1	R	18/14 15/13	0,255
		95% confidence interval: - money cubeless eq.: 0,451 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10475 games), played 2-ply (precise), random seed, with race database.
*2	R	15/13 5/1*	0,138 (-0,117)
		95% confidence interval: - money cubeless eq.: 0,395 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19216 games), played 2-ply (precise), random seed, with race database.
3	3	18/16 15/11	0,156 (-0,098)
4	3	18/16 5/1*	0,089 (-0,165)
5	2	13/7*	0,038 (-0,217)

Alert: Blunder (0,117)

Move 11 Green		Pip: 116
		Game 12 19 point match Green-White: Score 8-12
		Pip: 161

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,422
	0,5% 11,3% 37,3% 62,7% 26,7% 2,0%
1.	No redouble	-0,177
2.	Redouble, take	-0,530	(-0,353)
3.	Redouble, pass	1,000	(+1,177)
Proper cube action: No redouble, take			23%

#	Ply	Move	Equity
*1	2	bar/24* 18/15	-0,016
2	2	bar/24* 8/5	-0,174 (-0,158)
3	2	bar/24* 13/10	-0,182 (-0,166)
4	2	bar/24* 4/1	-0,198 (-0,182)
5	2	bar/22 8/7*	-0,212 (-0,196)

Move 11 White		Pip: 140
		Game 12 19 point match Green-White: Score 8-12
		Pip: 157

#	Ply	Move	Equity
*1	1	bar/18	0,235
2	1	bar/24 13/7	-0,382 (-0,616)
3	1	bar/24 8/2	-1,000 (-1,235)

Move 12 Green		Pip: 133
		Game 12 19 point match Green-White: Score 8-12
		Pip: 157

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,432
	0,3% 8,2% 34,2% 65,8% 18,6% 1,5%
1.	No redouble	-0,235
2.	Redouble, take	-0,717	(-0,483)
3.	Redouble, pass	1,000	(+1,235)
Proper cube action: No redouble, take			28%

#	Ply	Move	Equity
1	R	8/4	-0,237
		95% confidence interval: - money cubeless eq.: -0,449 �0,020. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 19336 games), played 2-ply (precise), random seed, with race database.
*2	R	15/11	-0,303 (-0,066)
		95% confidence interval: - money cubeless eq.: -0,482 �0,017. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 21654 games), played 2-ply (precise), random seed, with race database.
3	2	15/14 8/5	-0,473 (-0,236)
4	2	5/2 5/4	-0,484 (-0,247)
5	2	15/14 4/1	-0,488 (-0,251)

Move 12 White		Pip: 133
		Game 12 19 point match Green-White: Score 8-12
		Pip: 153

#	Ply	Move	Equity
*1	3	13/8 6/4	0,241
2	3	13/11 6/1*	0,195 (-0,046)
3	3	13/8 13/11	0,147 (-0,094)
4	3	13/6	0,135 (-0,106)
5	3	6/1* 6/4	0,135 (-0,106)

Move 13 Green		Pip: 126
		Game 12 19 point match Green-White: Score 8-12
		Pip: 153

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,454
	0,2% 7,3% 32,9% 67,1% 17,6% 1,2%
1.	No redouble	-0,269
2.	Redouble, take	-0,792	(-0,523)
3.	Redouble, pass	1,000	(+1,269)
Proper cube action: No redouble, take			29%

#	Ply	Move	Equity
*1	2	11/4	-0,141
2	2	24/23 11/5	-0,295 (-0,154)
3	2	11/5 4/3	-0,354 (-0,213)
4	2	24/18 11/10	-0,359 (-0,219)
5	2	24/18 5/4	-0,390 (-0,250)

Move 13 White		Pip: 126
		Game 12 19 point match Green-White: Score 8-12
		Pip: 146

#	Ply	Move	Equity
*1	2	6/2 4/2	0,164
2	2	8/2	-0,106 (-0,270)
3	2	8/4 6/4	-0,112 (-0,276)
4	1	13/9 13/11	-0,103 (-0,266)
5	1	13/11 8/4	-0,251 (-0,415)

Move 14 Green		Pip: 120
		Game 12 19 point match Green-White: Score 8-12
		Pip: 146

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,413
	0,2% 8,2% 34,0% 66,0% 16,9% 0,8%
1.	No redouble	-0,222
2.	Redouble, take	-0,723	(-0,501)
3.	Redouble, pass	1,000	(+1,222)
Proper cube action: No redouble, take			29%

#	Ply	Move	Equity
*1	3	8/4 8/5	-0,184
2	3	8/1	-0,323 (-0,139)
3	3	22/15	-0,329 (-0,145)
4	2	13/6	-0,485 (-0,301)
5	2	5/1 4/1	-0,505 (-0,321)

Move 14 White		Pip: 120
		Game 12 19 point match Green-White: Score 8-12
		Pip: 139

#	Ply	Move	Equity
1	R	13/2	-0,013
		95% confidence interval: - money cubeless eq.: 0,241 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12594 games), played 2-ply (precise), random seed, with race database.
*2	R	18/13 8/2	-0,056 (-0,043)
		95% confidence interval: - money cubeless eq.: 0,217 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12091 games), played 2-ply (precise), random seed, with race database.
3	3	13/7 13/8	-0,047 (-0,034)
4	2	18/7	-0,312 (-0,299)
5	1	8/2 6/1*	-1,000 (-0,987)

Move 15 Green		Pip: 109
		Game 12 19 point match Green-White: Score 8-12
		Pip: 139

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,260
	0,4% 11,4% 38,9% 61,1% 14,9% 0,7%
1.	No redouble	-0,034
2.	Redouble, take	-0,409	(-0,375)
3.	Redouble, pass	1,000	(+1,034)
Proper cube action: No redouble, take			27%

#	Ply	Move	Equity
*1	R	6/1 4/1	-0,456
		95% confidence interval: - money cubeless eq.: -0,601 �0,014. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 28093 games), played 2-ply (precise), random seed, with race database.
2	R	13/8 13/10	-0,496 (-0,040)
		95% confidence interval: - money cubeless eq.: -0,637 �0,014. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 29782 games), played 2-ply (precise), random seed, with race database.
3	3	13/5	-0,520 (-0,063)
4	3	13/8 5/2	-0,522 (-0,065)
5	3	13/8 4/1	-0,554 (-0,098)

Move 15 White		Pip: 109
		Game 12 19 point match Green-White: Score 8-12
		Pip: 131

#	Ply	Move	Equity
1	R	13/4	0,415
		95% confidence interval: - money cubeless eq.: 0,594 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11969 games), played 2-ply (precise), random seed, with race database.
*2	R	18/9	0,392 (-0,023)
		95% confidence interval: - money cubeless eq.: 0,567 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12411 games), played 2-ply (precise), random seed, with race database.
3	2	8/2 8/5	0,171 (-0,244)
4	1	18/15 13/7	0,056 (-0,359)
5	1	13/7 13/10	-0,152 (-0,568)

Move 16 Green		Pip: 100
		Game 12 19 point match Green-White: Score 8-12
		Pip: 131

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,584
	0,2% 6,6% 26,9% 73,1% 18,1% 0,8%
1.	No redouble	-0,432
2.	Redouble, take	-1,091	(-0,659)
3.	Redouble, pass	1,000	(+1,432)
Proper cube action: No redouble, take			32%

#	Ply	Move	Equity
*1	R	22/16* 6/3	-0,205
		95% confidence interval: - money cubeless eq.: -0,419 �0,026. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11271 games), played 2-ply (precise), random seed, with race database.
2	R	22/16*/13	-0,247 (-0,041)
		95% confidence interval: - money cubeless eq.: -0,460 �0,025. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11491 games), played 2-ply (precise), random seed, with race database.
3	3	22/16* 13/10	-0,272 (-0,067)
4	2	22/16* 5/2	-0,504 (-0,299)
5	1	24/15	-0,547 (-0,342)

Move 16 White		Pip: 116
		Game 12 19 point match Green-White: Score 8-12
		Pip: 122

#	Ply	Move	Equity
*1	1	Can't move	-0,181

Move 17 Green		Pip: 116
		Game 12 19 point match Green-White: Score 8-12
		Pip: 122

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	-0,175
	0,4% 13,2% 43,2% 56,8% 16,7% 0,7%
1.	No redouble	0,098
2.	Redouble, take	-0,175	(-0,273)
3.	Redouble, pass	1,000	(+0,902)
Proper cube action: No redouble, take			23%

#	Ply	Move	Equity
*1	3	24/18 16/13	0,125
2	3	22/16 13/10	0,045 (-0,080)
3	3	24/15	0,017 (-0,108)
4	3	16/10 13/10	0,015 (-0,110)
5	3	22/13	-0,008 (-0,133)

Move 17 White		Pip: 116
		Game 12 19 point match Green-White: Score 8-12
		Pip: 113

#	Ply	Move	Equity
*1	1	bar/19	0,177
2	1	bar/23 13/9	-0,295 (-0,472)
3	1	bar/23 8/4	-0,425 (-0,602)
4	1	bar/23 6/2	-0,833 (-1,010)
5	1	bar/23 5/1	-0,978 (-1,155)

Move 18 Green		Pip: 110
		Game 12 19 point match Green-White: Score 8-12
		Pip: 113

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,377
	0,2% 6,8% 36,6% 63,4% 17,4% 0,4%
1.	No redouble	-0,177
2.	Redouble, take	-0,637	(-0,460)
3.	Redouble, pass	1,000	(+1,177)
Proper cube action: No redouble, take			28%

#	Ply	Move	Equity
*1	3	18/15 13/10(3)	-0,326
2	3	18/15 13/4	-0,440 (-0,114)
3	2	13/10(3) 5/2	-0,609 (-0,283)
4	2	13/10(3) 10/7	-0,624 (-0,298)
5	2	18/15 5/2(3)	-0,705 (-0,379)

Move 18 White		Pip: 110
		Game 12 19 point match Green-White: Score 8-12
		Pip: 101

#	Ply	Move	Equity
*1	2	13/10*/6	0,608
2	2	13/9 13/10*	0,412 (-0,196)
3	2	13/10* 8/4	0,348 (-0,261)
4	1	13/6	-0,011 (-0,619)
5	1	8/4 8/5	-0,173 (-0,781)

Move 19 Green		Pip: 103
		Game 12 19 point match Green-White: Score 8-12
		Pip: 111

#	Ply	Move	Equity
*1	1	Can't move	-0,927

Move 19 White		Pip: 103
		Game 12 19 point match Green-White: Score 8-12
		Pip: 111

#	Ply	Move	Equity
1	R	8/3*	0,824
		95% confidence interval: - money cubeless eq.: 0,961 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18143 games), played 2-ply (precise), random seed, with race database.
*2	R	19/14	0,711 (-0,112)
		95% confidence interval: - money cubeless eq.: 0,819 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18894 games), played 2-ply (precise), random seed, with race database.
3	3	13/8	0,670 (-0,153)
4	2	13/9 13/12	0,578 (-0,246)
5	2	19/18 13/9	0,536 (-0,288)

Alert: Blunder (0,112)

Move 20 Green		Pip: 98
		Game 12 19 point match Green-White: Score 8-12
		Pip: 111

#	Ply	Move	Equity
*1	3	bar/22 3/2	-0,411
2	3	bar/22 10/9	-0,423 (-0,012)
3	3	bar/22 5/4	-0,435 (-0,024)
4	3	bar/22 4/3	-0,519 (-0,108)
5	1	bar/24 10/7	-0,738 (-0,327)

Move 20 White		Pip: 98
		Game 12 19 point match Green-White: Score 8-12
		Pip: 107

#	Ply	Move	Equity
1	R	14/11	0,315
		95% confidence interval: - money cubeless eq.: 0,456 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23552 games), played 2-ply (precise), random seed, with race database.
2	R	14/12 13/12	0,289 (-0,025)
		95% confidence interval: - money cubeless eq.: 0,435 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26187 games), played 2-ply (precise), random seed, with race database.
3	R	14/12 2/1	0,289 (-0,025)
		95% confidence interval: - money cubeless eq.: 0,446 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 20125 games), played 2-ply (precise), random seed, with race database.
4	R	6/4 2/1	0,281 (-0,033)
		95% confidence interval: - money cubeless eq.: 0,431 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21626 games), played 2-ply (precise), random seed, with race database.
*5	R	14/13 6/4	0,280 (-0,035)
		95% confidence interval: - money cubeless eq.: 0,421 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24779 games), played 2-ply (precise), random seed, with race database.

Move 21 Green		Pip: 95
		Game 12 19 point match Green-White: Score 8-12
		Pip: 107

#	Ply	Move	Equity
*1	3	10/4 10/6	-0,323
2	3	10/4 5/1	-0,385 (-0,062)
3	2	22/16 10/6	-0,681 (-0,358)
4	2	22/16 22/18	-0,791 (-0,468)
5	1	22/18 10/4	-0,691 (-0,368)

Move 21 White		Pip: 95
		Game 12 19 point match Green-White: Score 8-12
		Pip: 97

#	Ply	Move	Equity
*1	2	13/4	0,296
2	2	13/8 13/9	0,049 (-0,246)
3	1	6/1 6/2	-0,030 (-0,326)
4	1	13/8 5/1	-0,094 (-0,390)
5	1	13/8 6/2	-0,126 (-0,422)

Move 22 Green		Pip: 86
		Game 12 19 point match Green-White: Score 8-12
		Pip: 97

#	Ply	Move	Equity
1	R	10/6	-0,360
		95% confidence interval: - money cubeless eq.: -0,488 �0,012. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 24991 games), played 2-ply (precise), random seed, with race database.
*2	R	10/8 4/2	-0,363 (-0,003)
		95% confidence interval: - money cubeless eq.: -0,489 �0,013. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 24187 games), played 2-ply (precise), random seed, with race database.
3	3	10/9 5/2	-0,371 (-0,011)
4	3	5/2 4/3	-0,383 (-0,023)
5	3	6/2	-0,389 (-0,029)

Move 22 White		Pip: 86
		Game 12 19 point match Green-White: Score 8-12
		Pip: 93

#	Ply	Move	Equity
*1	1	13/4	0,344
2	1	13/8 13/9	0,031 (-0,314)
3	1	6/1 6/2	0,011 (-0,333)
4	1	13/8 6/2	-0,310 (-0,654)
5	1	13/8 5/1	-0,359 (-0,703)

Move 23 Green		Pip: 77
		Game 12 19 point match Green-White: Score 8-12
		Pip: 93

#	Ply	Move	Equity
*1	R	8/4 6/3	-0,487
		95% confidence interval: - money cubeless eq.: -0,583 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 24751 games), played 2-ply (precise), random seed, with race database.
2	R	8/5 6/2	-0,505 (-0,018)
		95% confidence interval: - money cubeless eq.: -0,598 �0,009. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 32657 games), played 2-ply (precise), random seed, with race database.
3	3	8/4 5/2	-0,501 (-0,014)
4	3	8/1	-0,504 (-0,017)
5	3	6/3 5/1	-0,513 (-0,026)

Move 23 White		Pip: 77
		Game 12 19 point match Green-White: Score 8-12
		Pip: 86

#	Ply	Move	Equity
*1	2	4/1 2/1	0,480
2	2	13/10 2/1	0,318 (-0,161)
3	2	13/12 4/1	0,316 (-0,164)
4	1	5/2 5/4	0,101 (-0,379)
5	1	8/5 8/7	0,041 (-0,439)

Move 24 Green		Pip: 73
		Game 12 19 point match Green-White: Score 8-12
		Pip: 86

#	Ply	Move	Equity
1	3	4/1 3/2	-0,600
*2	3	5/1	-0,600 (-0,000)
3	3	5/2 3/2	-0,609 (-0,009)
4	3	5/2 4/3	-0,613 (-0,013)
5	3	5/2 5/4	-0,649 (-0,049)

Move 24 White		Pip: 73
		Game 12 19 point match Green-White: Score 8-12
		Pip: 82

#	Ply	Move	Equity
*1	3	13/5	0,646
2	3	13/8 4/1	0,539 (-0,107)
3	1	13/8 5/2	0,082 (-0,564)
4	1	13/10 6/1	0,002 (-0,643)
5	1	6/1 4/1	-0,048 (-0,693)

Move 25 Green		Pip: 65
		Game 12 19 point match Green-White: Score 8-12
		Pip: 82

#	Ply	Move	Equity
*1	3	3/2	-0,659
2	3	4/3	-0,665 (-0,006)
3	3	2/1	-0,716 (-0,057)
4	3	5/4	-0,730 (-0,071)

Move 25 White		Pip: 65
		Game 12 19 point match Green-White: Score 8-12
		Pip: 81

#	Ply	Move	Equity
*1	1	8/2 8/6	0,868
2	1	8/2 4/2	0,341 (-0,527)
3	1	8/2 6/4	-0,406 (-1,274)

Move 26 Green		Pip: 57
		Game 12 19 point match Green-White: Score 8-12
		Pip: 81

#	Ply	Move	Equity
*1	3	22/15	-0,900
2	3	22/16 4/3	-0,912 (-0,011)
3	3	22/16 2/1	-0,916 (-0,016)
4	3	22/16 3/2	-0,930 (-0,030)
5	3	22/16 5/4	-0,935 (-0,035)

Move 26 White		Pip: 57
		Game 12 19 point match Green-White: Score 8-12
		Pip: 74

#	Ply	Move	Equity
1	R	5/off 4/off	0,879
		95% confidence interval: - money cubeless eq.: 0,903 �0,006. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 23972 games), played 2-ply (precise), random seed, with race database.
*2	R	6/1 4/off	0,849 (-0,029)
		95% confidence interval: - money cubeless eq.: 0,878 �0,005. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 47675 games), played 2-ply (precise), random seed, with race database.
3	R	6/2 5/off	0,842 (-0,036)
		95% confidence interval: - money cubeless eq.: 0,872 �0,005. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 34701 games), played 2-ply (precise), random seed, with race database.
4	3	6/1 5/1	0,783 (-0,095)
5	1	5/off 5/1	0,363 (-0,516)

Move 27 Green		Pip: 48
		Game 12 19 point match Green-White: Score 8-12
		Pip: 74

#	Ply	Move	Equity
*1	3	15/9	-0,874
2	3	15/11 4/2	-0,881 (-0,008)
3	3	15/11 3/1	-0,904 (-0,031)
4	3	15/11 5/3	-0,907 (-0,033)
5	3	15/13 5/1	-0,925 (-0,051)

Move 27 White		Pip: 48
		Game 12 19 point match Green-White: Score 8-12
		Pip: 68

#	Ply	Move	Equity
*1	R	6/3*(2) 5/2 4/1	0,992
		95% confidence interval: - money cubeless eq.: 0,998 �0,004. Rollout settings: Truncated rollout, depth 11, 144 games, played 2-ply (precise), random seed, with race database.
2	R	6/3*/off(2)	0,990 (-0,003)
		95% confidence interval: - money cubeless eq.: 1,000 �0,004. Rollout settings: Truncated rollout, depth 11, 144 games, played 2-ply (precise), random seed, with race database.
3	2	5/2(3) 4/1	0,767 (-0,225)
4	2	5/2 4/1(3)	0,739 (-0,253)
5	1	6/3*(2) 5/2(2)	0,501 (-0,491)

Move 28 Green		Pip: 36
		Game 12 19 point match Green-White: Score 8-12
		Pip: 71

#	Ply	Move	Equity
*1	1	Can't move	-1,002

Move 28 White		Pip: 36
		Game 12 19 point match Green-White: Score 8-12
		Pip: 71

#	Ply	Move	Equity
*1	1	5/off 5/2	1,001
2	1	5/off 3/off	0,117 (-0,884)
3	1	5/off 4/1	0,093 (-0,908)

Move 29 Green		Pip: 28
		Game 12 19 point match Green-White: Score 8-12
		Pip: 71

#	Ply	Move	Equity
*1	3	bar/19	-1,004
2	3	bar/20 9/8	-1,004 (-0,000)
3	3	bar/20 5/4	-1,006 (-0,002)
4	3	bar/20 3/2	-1,006 (-0,003)
5	3	bar/20 4/3	-1,006 (-0,003)

Move 29 White		Pip: 28
		Game 12 19 point match Green-White: Score 8-12
		Pip: 65

Groutsos wins 2 points.

Game 12 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	advanced
Overall	4,022	8,356
Checker play	4,022	8,356
Double	0,000	0,000
Take	0,000	0,000

Game 13 Match to 19. Score Green-White: 8-14

Move 1 White		Pip: 167
		Game 13 19 point match Green-White: Score 8-14
		Pip: 167

#	Ply	Move	Equity
*1	3	24/21 13/11	-0,111
2	3	13/10 13/11	-0,129 (-0,018)
3	3	24/22 13/10	-0,132 (-0,022)
4	3	24/21 24/22	-0,135 (-0,025)
5	3	13/10 6/4	-0,160 (-0,049)

Move 2 Green		Pip: 162
		Game 13 19 point match Green-White: Score 8-14
		Pip: 167

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	-0,007
	0,7% 14,1% 49,5% 50,5% 13,8% 0,7%
1.	No double	0,112
2.	Double, take	-0,041	(-0,152)
3.	Double, pass	1,000	(+0,888)
Proper cube action: No double, take			15%

#	Ply	Move	Equity
*1	R	13/7 6/4*	-0,046
		95% confidence interval: - money cubeless eq.: -0,115 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 42695 games), played 2-ply (precise), random seed, with race database.
2	R	24/18 6/4*	-0,052 (-0,006)
		95% confidence interval: - money cubeless eq.: -0,124 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 53521 games), played 2-ply (precise), random seed, with race database.
3	R	24/18 13/11	-0,059 (-0,013)
		95% confidence interval: - money cubeless eq.: -0,126 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 45130 games), played 2-ply (precise), random seed, with race database.
4	R	24/16	-0,072 (-0,026)
		95% confidence interval: - money cubeless eq.: -0,134 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 40545 games), played 2-ply (precise), random seed, with race database.
5	3	24/18 24/22	-0,093 (-0,048)

Move 2 White		Pip: 166
		Game 13 19 point match Green-White: Score 8-14
		Pip: 159

#	Ply	Move	Equity
*1	2	bar/20 24/18*	0,063
2	2	bar/14	-0,233 (-0,296)
3	1	bar/20 11/5	-0,316 (-0,379)
4	1	bar/20 13/7	-0,364 (-0,427)
5	1	bar/20 8/2	-0,485 (-0,549)

Move 3 Green		Pip: 155
		Game 13 19 point match Green-White: Score 8-14
		Pip: 177

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	-0,142
	0,6% 12,2% 44,9% 55,1% 15,9% 1,0%
1.	No double	-0,070
2.	Double, take	-0,304	(-0,235)
3.	Double, pass	1,000	(+1,070)
Proper cube action: No double, take			18%

#	Ply	Move	Equity
1	R	bar/20 6/5*	-0,141
		95% confidence interval: - money cubeless eq.: -0,192 �0,010. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 66925 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/20 8/7*	-0,150 (-0,009)
		95% confidence interval: - money cubeless eq.: -0,199 �0,010. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 71721 games), played 2-ply (precise), random seed, with race database.
3	3	bar/20 24/23	-0,194 (-0,053)
4	3	bar/20 4/3	-0,238 (-0,097)
5	3	bar/24 13/8	-0,252 (-0,111)

Move 3 White		Pip: 162
		Game 13 19 point match Green-White: Score 8-14
		Pip: 171

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,172
	1,1% 16,8% 55,7% 44,3% 11,5% 0,6%
1.	No double	0,116
2.	Double, take	-0,349	(-0,465)
3.	Double, pass	1,000	(+0,884)
Proper cube action: No double, take			34%

#	Ply	Move	Equity
*1	3	bar/23 11/5*	-0,043
2	3	bar/23 20/14	-0,134 (-0,091)
3	2	bar/23 13/7	-0,254 (-0,211)
4	1	bar/23 8/2	-0,420 (-0,377)

Move 4 Green		Pip: 154
		Game 13 19 point match Green-White: Score 8-14
		Pip: 176

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	-0,065
	0,7% 14,0% 48,1% 51,9% 16,5% 1,0%
1.	No double	0,053
2.	Double, take	-0,128	(-0,181)
3.	Double, pass	1,000	(+0,947)
Proper cube action: No double, take			16%

#	Ply	Move	Equity
*1	3	bar/20* 6/4	0,283
2	3	bar/20* 7/5*	0,156 (-0,127)
3	2	bar/20* 4/2*	0,076 (-0,208)
4	2	bar/20* 24/22	-0,010 (-0,293)
5	1	bar/20*/18	-0,079 (-0,362)

Move 4 White		Pip: 174
		Game 13 19 point match Green-White: Score 8-14
		Pip: 169

#	Ply	Move	Equity
*1	2	bar/23 20/16	-0,551
2	2	bar/23 6/2	-0,721 (-0,169)
3	2	bar/23 13/9	-0,729 (-0,178)
4	2	bar/23 8/4	-0,751 (-0,200)

Move 5 Green		Pip: 168
		Game 13 19 point match Green-White: Score 8-14
		Pip: 169

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,300
	1,0% 19,9% 60,1% 39,9% 10,4% 0,5%
	95% confidence interval: - money cubeless eq.: 0,300 �0,031, - live cube no double: 0,546 �0,074, - live cube double take: 0,542 �0,074. Rollout settings: Full rollout, 324 games (equiv. 6884 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,602
2.	Double, take	0,590	(-0,013)
3.	Double, pass	1,000	(+0,398)
Proper cube action: No double, take			3%
Live cube
1.	No double	0,546
2.	Double, take	0,542	(-0,004)
3.	Double, pass	1,000	(+0,454)
Proper cube action: No double, take			1%

#	Ply	Move	Equity
*1	3	13/7 8/5(2)	0,805
2	3	24/21(2) 13/7	0,714 (-0,092)
3	2	24/18 13/7	0,577 (-0,228)
4	2	24/21(2) 8/5(2)	0,567 (-0,238)
5	2	13/7(2)	0,537 (-0,269)

Move 5 White		Pip: 168
		Game 13 19 point match Green-White: Score 8-14
		Pip: 157

#	Ply	Move	Equity
1	R	16/8	-0,924
		95% confidence interval: - money cubeless eq.: -0,473 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24316 games), played 2-ply (precise), random seed, with race database.
*2	R	8/3 6/3	-0,952 (-0,028)
		95% confidence interval: - money cubeless eq.: -0,470 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26154 games), played 2-ply (precise), random seed, with race database.
3	R	16/11 6/3	-1,000 (-0,076)
		95% confidence interval: - money cubeless eq.: -0,617 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26151 games), played 2-ply (precise), random seed, with race database.
4	R	13/8 6/3	-1,000 (-0,076)
		95% confidence interval: - money cubeless eq.: -0,642 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25002 games), played 2-ply (precise), random seed, with race database.
5	R	16/13 8/3	-1,000 (-0,076)
		95% confidence interval: - money cubeless eq.: -0,570 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 32797 games), played 2-ply (precise), random seed, with race database.

		Pip: 160
		Game 13 19 point match Green-White: Score 8-14
		Pip: 157

6.	Green	Double
	White	Take

Cube action equity
Rollout	Money equity:	0,466
	1,3% 22,7% 66,3% 33,7% 9,3% 0,6%
	95% confidence interval: - money cubeless eq.: 0,466 �0,027. Rollout settings: Full rollout, 360 games (equiv. 8280 games), played 2-ply (precise), random seed, with race database.
1.	Double, take	0,942
2.	No double	0,834	(-0,107)
3.	Double, pass	1,000	(+0,058)
Proper cube action: Double, take

Move 7 Green		Pip: 160
		Game 13 19 point match Green-White: Score 8-14
		Pip: 157

#	Ply	Move	Equity
*1	R	24/21 20/18	0,366
		95% confidence interval: - money cubeless eq.: 0,372 �0,012. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 53323 games), played 2-ply (precise), random seed, with race database.
2	R	24/21 6/4	0,350 (-0,016)
		95% confidence interval: - money cubeless eq.: 0,365 �0,011. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 49995 games), played 2-ply (precise), random seed, with race database.
3	R	24/21 13/11	0,326 (-0,040)
		95% confidence interval: - money cubeless eq.: 0,329 �0,011. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 48402 games), played 2-ply (precise), random seed, with race database.
4	R	13/8	0,297 (-0,069)
		95% confidence interval: - money cubeless eq.: 0,306 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23437 games), played 2-ply (precise), random seed, with race database.
5	3	20/18 13/10	0,329 (-0,037)

Move 7 White		Pip: 160
		Game 13 19 point match Green-White: Score 8-14
		Pip: 152

#	Ply	Move	Equity
*1	2	23/17(2) 13/7*(2)	0,133
2	2	23/17(2) 13/7/1	-0,078 (-0,211)
3	2	23/17(2) 16/4*	-0,107 (-0,240)
4	1	23/11(2)	-0,114 (-0,247)
5	1	23/17 16/4* 13/7*	-0,122 (-0,255)

Alert: Joker (0,555)

Move 8 Green		Pip: 136
		Game 13 19 point match Green-White: Score 8-14
		Pip: 159

#	Ply	Move	Equity
*1	3	bar/20 21/20	-0,164
2	3	bar/20 6/5	-0,302 (-0,137)
3	2	bar/20 24/23	-0,374 (-0,210)
4	2	bar/20 7/6	-0,413 (-0,248)
5	2	bar/24 21/16	-0,434 (-0,270)

Move 8 White		Pip: 136
		Game 13 19 point match Green-White: Score 8-14
		Pip: 153

#	Ply	Move	Equity
*1	R	13/11(2) 6/4(2)	0,208
		95% confidence interval: - money cubeless eq.: 0,179 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12339 games), played 2-ply (precise), random seed, with race database.
2	R	17/15(2) 6/4(2)	0,181 (-0,027)
		95% confidence interval: - money cubeless eq.: 0,136 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 19269 games), played 2-ply (precise), random seed, with race database.
3	3	6/4(2) 3/1*(2)	0,086 (-0,121)
4	3	17/15(2) 13/11(2)	0,070 (-0,138)
5	2	13/9(2)	0,039 (-0,168)

Move 9 Green		Pip: 128
		Game 13 19 point match Green-White: Score 8-14
		Pip: 153

#	Ply	Move	Equity
*1	3	13/9*/4	0,008
2	3	20/15 13/9*	-0,064 (-0,071)
3	2	13/9* 6/1	-0,222 (-0,230)
4	2	13/9* 7/2	-0,314 (-0,322)
5	2	24/20 7/2	-0,331 (-0,338)

Move 9 White		Pip: 137
		Game 13 19 point match Green-White: Score 8-14
		Pip: 144

#	Ply	Move	Equity
*1	2	bar/23 11/6	-0,210
2	2	bar/23 8/3	-0,392 (-0,182)
3	1	bar/23 7/2	-0,589 (-0,379)
4	1	bar/23 6/1*	-0,656 (-0,445)

Move 10 Green		Pip: 130
		Game 13 19 point match Green-White: Score 8-14
		Pip: 144

#	Ply	Move	Equity
*1	2	24/14*	0,450
2	2	20/14* 20/16	0,254 (-0,196)
3	1	20/14* 6/2*	0,229 (-0,221)
4	1	20/14*/10	0,219 (-0,232)
5	1	20/14* 13/9	0,043 (-0,407)

Move 10 White		Pip: 144
		Game 13 19 point match Green-White: Score 8-14
		Pip: 134

#	Ply	Move	Equity
*1	2	bar/22 17/11*/8	-0,252
2	2	bar/22 17/14(2) 14/11*	-0,411 (-0,159)
3	2	bar/22 17/11* 6/3	-0,482 (-0,231)
4	1	bar/22 17/14(2) 6/3	-0,587 (-0,335)
5	1	bar/22 17/11* 7/4	-0,642 (-0,390)

Move 11 Green		Pip: 132
		Game 13 19 point match Green-White: Score 8-14
		Pip: 145

#	Ply	Move	Equity
*1	R	bar/20	0,249
		95% confidence interval: - money cubeless eq.: 0,283 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15261 games), played 2-ply (precise), random seed, with race database.
2	R	bar/23 6/3*	0,246 (-0,003)
		95% confidence interval: - money cubeless eq.: 0,260 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12866 games), played 2-ply (precise), random seed, with race database.
3	1	bar/23 4/1	-0,046 (-0,295)
4	1	bar/23 13/10	-0,118 (-0,367)
5	1	bar/23 7/4	-0,354 (-0,603)

Move 11 White		Pip: 132
		Game 13 19 point match Green-White: Score 8-14
		Pip: 140

#	Ply	Move	Equity
*1	R	23/22 17/16 8/6	-0,350
		95% confidence interval: - money cubeless eq.: -0,352 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17710 games), played 2-ply (precise), random seed, with race database.
2	R	23/22 17/14	-0,355 (-0,004)
		95% confidence interval: - money cubeless eq.: -0,362 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17524 games), played 2-ply (precise), random seed, with race database.
3	3	23/22 17/16 3/2(2)	-0,344 ( 0,006)
4	3	23/22 8/7 3/2(2)	-0,347 ( 0,003)
5	3	23/22 17/15 8/7	-0,349 ( 0,001)

Move 12 Green		Pip: 128
		Game 13 19 point match Green-White: Score 8-14
		Pip: 140

#	Ply	Move	Equity
*1	3	20/13	0,306
2	3	20/15 4/2	0,163 (-0,143)
3	3	20/15 6/4	0,135 (-0,171)
4	2	7/2 7/5	0,003 (-0,302)
5	2	7/2 4/2	-0,035 (-0,341)

Move 12 White		Pip: 128
		Game 13 19 point match Green-White: Score 8-14
		Pip: 133

#	Ply	Move	Equity
1	R	16/8	-0,248
		95% confidence interval: - money cubeless eq.: -0,291 �0,014. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 25834 games), played 2-ply (precise), random seed, with race database.
*2	R	22/16 6/4	-0,261 (-0,014)
		95% confidence interval: - money cubeless eq.: -0,283 �0,018. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 16629 games), played 2-ply (precise), random seed, with race database.
3	3	16/10 6/4	-0,359 (-0,111)
4	2	16/10 4/2	-0,483 (-0,235)
5	2	22/16 4/2	-0,488 (-0,240)

Move 13 Green		Pip: 120
		Game 13 19 point match Green-White: Score 8-14
		Pip: 133

#	Ply	Move	Equity
*1	2	7/3*(2)	0,381
2	2	13/11(2) 5/3*(2)	0,162 (-0,219)
3	1	13/11(3) 4/2	0,055 (-0,326)
4	1	13/11 6/4 5/3*(2)	0,012 (-0,369)
5	1	13/11 5/3*(2) 4/2	-0,006 (-0,387)

Move 13 White		Pip: 123
		Game 13 19 point match Green-White: Score 8-14
		Pip: 125

#	Ply	Move	Equity
*1	1	bar/17	-0,191
2	1	bar/23 7/1	-0,634 (-0,443)
3	1	bar/23 8/2	-0,642 (-0,451)
4	1	bar/23 16/10	-0,812 (-0,620)

Move 14 Green		Pip: 115
		Game 13 19 point match Green-White: Score 8-14
		Pip: 125

#	Ply	Move	Equity
1	R	13/7 13/8*	0,483
		95% confidence interval: - money cubeless eq.: 0,503 �0,016. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 23155 games), played 2-ply (precise), random seed, with race database.
*2	R	20/14 13/8*	0,454 (-0,029)
		95% confidence interval: - money cubeless eq.: 0,460 �0,016. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 27259 games), played 2-ply (precise), random seed, with race database.
3	3	13/8*/2	0,458 (-0,025)
4	1	13/2	-0,147 (-0,630)
5	1	13/7 6/1	-0,167 (-0,651)

Move 14 White		Pip: 123
		Game 13 19 point match Green-White: Score 8-14
		Pip: 114

#	Ply	Move	Equity
1	3	bar/23 16/11*	-0,162
*2	3	bar/18	-0,380 (-0,217)
3	1	bar/23 6/1	-0,611 (-0,449)
4	1	bar/23 7/2	-0,721 (-0,559)
5	1	bar/23 8/3	-0,732 (-0,569)

Alert: Blunder (0,217)

Move 15 Green		Pip: 116
		Game 13 19 point match Green-White: Score 8-14
		Pip: 114

#	Ply	Move	Equity
*1	R	14/11 8/7*	0,501
		95% confidence interval: - money cubeless eq.: 0,505 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13176 games), played 2-ply (precise), random seed, with race database.
2	R	8/7*/4	0,464 (-0,037)
		95% confidence interval: - money cubeless eq.: 0,487 �0,025. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 8782 games), played 2-ply (precise), random seed, with race database.
3	3	8/7* 6/3	0,416 (-0,085)
4	3	13/10 8/7*	0,377 (-0,124)
5	2	8/7* 4/1	0,194 (-0,307)

Move 15 White		Pip: 123
		Game 13 19 point match Green-White: Score 8-14
		Pip: 110

#	Ply	Move	Equity
*1	1	bar/17	-0,502
2	1	bar/23 8/2	-0,813 (-0,310)
3	1	bar/23 7/1	-0,851 (-0,349)
4	1	bar/23 16/10	-1,034 (-0,531)

Move 16 Green		Pip: 115
		Game 13 19 point match Green-White: Score 8-14
		Pip: 110

#	Ply	Move	Equity
*1	3	13/8* 13/11	0,616
2	3	13/8* 7/5	0,535 (-0,080)
3	3	13/8*/6	0,440 (-0,175)
4	2	13/8* 6/4	0,292 (-0,323)
5	1	13/8* 4/2	0,242 (-0,374)

Move 16 White		Pip: 123
		Game 13 19 point match Green-White: Score 8-14
		Pip: 103

#	Ply	Move	Equity
*1	3	bar/24 6/2	-0,795
2	3	bar/24 8/4	-0,942 (-0,147)
3	2	bar/24 7/3	-1,081 (-0,287)
4	2	bar/24 16/12	-1,117 (-0,322)

Move 17 Green		Pip: 118
		Game 13 19 point match Green-White: Score 8-14
		Pip: 103

#	Ply	Move	Equity
*1	3	8/7 6/4	0,636
2	3	8/7 4/2	0,542 (-0,094)
3	3	4/1*	0,535 (-0,101)
4	2	7/5 4/3	0,348 (-0,289)
5	2	8/6 7/6	0,328 (-0,308)

Move 17 White		Pip: 118
		Game 13 19 point match Green-White: Score 8-14
		Pip: 100

#	Ply	Move	Equity
*1	2	7/2 7/5*	-0,597
2	2	8/3 8/6	-0,845 (-0,248)
3	2	8/3 4/2	-0,890 (-0,293)
4	2	7/2 4/2	-0,954 (-0,357)
5	1	16/11 4/2	-0,923 (-0,326)

Move 18 Green		Pip: 111
		Game 13 19 point match Green-White: Score 8-14
		Pip: 105

#	Ply	Move	Equity
*1	1	bar/24 4/1*	0,591
2	1	bar/24 11/8	0,250 (-0,341)
3	1	bar/24 7/4	-0,291 (-0,881)
4	1	bar/24 6/3	-0,515 (-1,106)
5	1	bar/24 5/2	-0,561 (-1,151)

Move 18 White		Pip: 112
		Game 13 19 point match Green-White: Score 8-14
		Pip: 101

#	Ply	Move	Equity
*1	R	bar/23 8/3	-0,998
		95% confidence interval: - money cubeless eq.: -0,927 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11998 games), played 2-ply (precise), random seed, with race database.
2	R	bar/23 16/11	-1,020 (-0,021)
		95% confidence interval: - money cubeless eq.: -0,959 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 9515 games), played 2-ply (precise), random seed, with race database.
3	2	bar/23 6/1*	-1,203 (-0,205)

Move 19 Green		Pip: 105
		Game 13 19 point match Green-White: Score 8-14
		Pip: 101

#	Ply	Move	Equity
*1	1	24/17*	1,054
2	1	24/18 4/3	0,375 (-0,678)
3	1	7/1 7/6	0,218 (-0,836)
4	1	7/1 3/2*	0,190 (-0,864)
5	1	24/18 11/10	0,133 (-0,920)

Move 19 White		Pip: 122
		Game 13 19 point match Green-White: Score 8-14
		Pip: 94

#	Ply	Move	Equity
1	R	bar/23 3/2	-0,751
		95% confidence interval: - money cubeless eq.: -0,755 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11214 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/23 6/5	-0,752 (-0,001)
		95% confidence interval: - money cubeless eq.: -0,747 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10129 games), played 2-ply (precise), random seed, with race database.
3	R	bar/23 4/3	-0,781 (-0,030)
		95% confidence interval: - money cubeless eq.: -0,773 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11462 games), played 2-ply (precise), random seed, with race database.
4	R	bar/23 5/4	-0,809 (-0,058)
		95% confidence interval: - money cubeless eq.: -0,803 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16254 games), played 2-ply (precise), random seed, with race database.
5	3	bar/23 2/1	-0,799 (-0,048)

Move 20 Green		Pip: 119
		Game 13 19 point match Green-White: Score 8-14
		Pip: 94

#	Ply	Move	Equity
*1	3	17/11	0,810
2	3	17/12 4/3	0,678 (-0,132)
3	3	11/6 11/10	0,652 (-0,158)
4	3	11/5	0,612 (-0,198)
5	3	17/16 11/6	0,609 (-0,201)

Move 20 White		Pip: 119
		Game 13 19 point match Green-White: Score 8-14
		Pip: 88

#	Ply	Move	Equity
*1	R	16/13(2) 13/10 4/1	-0,752
		95% confidence interval: - money cubeless eq.: -0,763 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10271 games), played 2-ply (precise), random seed, with race database.
2	R	16/10(2)	-0,756 (-0,004)
		95% confidence interval: - money cubeless eq.: -0,769 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14613 games), played 2-ply (precise), random seed, with race database.
3	R	16/13(2) 13/7	-0,758 (-0,006)
		95% confidence interval: - money cubeless eq.: -0,768 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22286 games), played 2-ply (precise), random seed, with race database.
4	3	16/13(2) 13/10 6/3	-0,772 (-0,020)
5	3	16/13(2) 13/10 5/2	-0,778 (-0,026)

Move 21 Green		Pip: 107
		Game 13 19 point match Green-White: Score 8-14
		Pip: 88

#	Ply	Move	Equity
1	R	11/9(2) 9/5	0,763
		95% confidence interval: - money cubeless eq.: 0,773 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16762 games), played 2-ply (precise), random seed, with race database.
*2	R	11/9(3) 9/7	0,750 (-0,013)
		95% confidence interval: - money cubeless eq.: 0,767 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26713 games), played 2-ply (precise), random seed, with race database.
3	R	11/3	0,746 (-0,017)
		95% confidence interval: - money cubeless eq.: 0,760 �0,013. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14489 games), played 2-ply (precise), random seed, with race database.
4	R	11/9(2) 7/5(2)	0,736 (-0,026)
		95% confidence interval: - money cubeless eq.: 0,752 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 7133 games), played 2-ply (precise), random seed, with race database.
5	R	11/7(2)	0,733 (-0,030)
		95% confidence interval: - money cubeless eq.: 0,746 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17839 games), played 2-ply (precise), random seed, with race database.

Move 21 White		Pip: 107
		Game 13 19 point match Green-White: Score 8-14
		Pip: 80

#	Ply	Move	Equity
1	R	13/10 3/1	-0,769
		95% confidence interval: - money cubeless eq.: -0,776 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30602 games), played 2-ply (precise), random seed, with race database.
*2	R	10/7 3/1	-0,772 (-0,003)
		95% confidence interval: - money cubeless eq.: -0,777 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15609 games), played 2-ply (precise), random seed, with race database.
3	R	13/8	-0,783 (-0,015)
		95% confidence interval: - money cubeless eq.: -0,796 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24467 games), played 2-ply (precise), random seed, with race database.
4	R	13/11 10/7	-0,783 (-0,015)
		95% confidence interval: - money cubeless eq.: -0,794 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24314 games), played 2-ply (precise), random seed, with race database.
5	3	6/1	-0,796 (-0,027)

Move 22 Green		Pip: 102
		Game 13 19 point match Green-White: Score 8-14
		Pip: 80

#	Ply	Move	Equity
*1	R	7/1	0,783
		95% confidence interval: - money cubeless eq.: 0,799 �0,008. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 23571 games), played 2-ply (precise), random seed, with race database.
2	R	9/4 7/6	0,750 (-0,033)
		95% confidence interval: - money cubeless eq.: 0,766 �0,011. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 20024 games), played 2-ply (precise), random seed, with race database.
3	3	9/3	0,749 (-0,034)
4	3	6/1 6/5	0,658 (-0,125)
5	2	9/4 9/8	0,418 (-0,365)

Move 22 White		Pip: 102
		Game 13 19 point match Green-White: Score 8-14
		Pip: 74

#	Ply	Move	Equity
*1	3	13/11 7/6	-0,759
2	3	13/10	-0,790 (-0,031)
3	3	13/12 7/5	-0,803 (-0,043)
4	3	7/6 5/3	-0,819 (-0,060)
5	3	13/11 6/5	-0,821 (-0,062)

Move 23 Green		Pip: 99
		Game 13 19 point match Green-White: Score 8-14
		Pip: 74

#	Ply	Move	Equity
*1	3	9/3 9/6	0,775
2	3	7/1 7/4	0,741 (-0,034)
3	2	9/3 4/1	0,573 (-0,201)
4	1	9/6 7/1	0,188 (-0,587)
5	1	9/3 7/4	0,171 (-0,604)

Move 23 White		Pip: 99
		Game 13 19 point match Green-White: Score 8-14
		Pip: 65

#	Ply	Move	Equity
*1	3	11/4	-0,790
2	3	11/6 3/1	-0,834 (-0,045)
3	3	11/6 5/3	-0,835 (-0,045)
4	3	11/6 4/2	-0,840 (-0,051)
5	3	11/9 6/1	-0,856 (-0,066)

Move 24 Green		Pip: 92
		Game 13 19 point match Green-White: Score 8-14
		Pip: 65

#	Ply	Move	Equity
1	R	7/5(2)	0,966
		95% confidence interval: - money cubeless eq.: 0,967 �0,007. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 21254 games), played 2-ply (precise), random seed, with race database.
*2	R	7/6(2) 6/5 1/off	0,942 (-0,024)
		95% confidence interval: - money cubeless eq.: 0,946 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11167 games), played 2-ply (precise), random seed, with race database.
3	3	7/6(2) 1/off(2)	0,902 (-0,064)
4	3	7/6(2) 6/4	0,898 (-0,068)
5	3	7/6(2) 6/5 4/3	0,891 (-0,074)

Move 24 White		Pip: 92
		Game 13 19 point match Green-White: Score 8-14
		Pip: 61

#	Ply	Move	Equity
1	3	6/2	-1,005
*2	3	6/5 4/1	-1,006 (-0,001)
3	3	6/3 6/5	-1,010 (-0,005)
4	3	4/1 2/1	-1,011 (-0,006)
5	3	5/1	-1,013 (-0,008)

Move 25 Green		Pip: 88
		Game 13 19 point match Green-White: Score 8-14
		Pip: 61

#	Ply	Move	Equity
*1	R	6/off	0,999
		95% confidence interval: - money cubeless eq.: 0,996 �0,007. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17953 games), played 2-ply (precise), random seed, with race database.
2	R	5/off 1/off	0,998 (-0,002)
		95% confidence interval: - money cubeless eq.: 0,995 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 7390 games), played 2-ply (precise), random seed, with race database.
3	3	6/1 6/5	0,974 (-0,025)
4	3	6/1 4/3	0,964 (-0,036)
5	3	6/1 5/4	0,936 (-0,063)

Move 25 White		Pip: 88
		Game 13 19 point match Green-White: Score 8-14
		Pip: 55

#	Ply	Move	Equity
1	R	23/12	-0,938
		95% confidence interval: - money cubeless eq.: -0,944 �0,008. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14424 games), played 2-ply (precise), random seed, with race database.
*2	R	23/17 23/18	-0,964 (-0,026)
		95% confidence interval: - money cubeless eq.: -0,967 �0,002. Rollout settings: Truncated rollout, depth 11, 144 games, played 2-ply (precise), random seed, with race database.
3	3	23/17 6/1	-0,980 (-0,042)

Move 26 Green		Pip: 77
		Game 13 19 point match Green-White: Score 8-14
		Pip: 55

#	Ply	Move	Equity
*1	3	4/off 3/off	0,968
2	3	6/2 3/off	0,965 (-0,004)
3	3	5/2 4/off	0,963 (-0,005)
4	3	5/1 3/off	0,958 (-0,011)
5	3	6/3 4/off	0,957 (-0,012)

Move 26 White		Pip: 77
		Game 13 19 point match Green-White: Score 8-14
		Pip: 48

#	Ply	Move	Equity
1	3	18/14	-0,994
*2	3	18/15 17/16	-0,994 (-0,000)
3	3	17/13	-0,994 (-0,001)
4	3	18/15 5/4	-0,997 (-0,003)
5	3	17/14 5/4	-0,997 (-0,003)

Move 27 Green		Pip: 73
		Game 13 19 point match Green-White: Score 8-14
		Pip: 48

#	Ply	Move	Equity
*1	3	5/off 4/off	1,000
2	3	6/2 5/off	0,998 (-0,002)
3	3	5/off 5/1	0,993 (-0,007)
4	3	6/1 4/off	0,992 (-0,008)
5	3	6/1 6/2	0,989 (-0,011)

Move 27 White		Pip: 73
		Game 13 19 point match Green-White: Score 8-14
		Pip: 39

#	Ply	Move	Equity
*1	D	16/6 15/5	-0,948
2	3	16/1 15/10	-0,963 (-0,016)
3	3	16/11 15/5 6/1	-0,967 (-0,019)
4	3	16/6 6/1(2)	-0,987 (-0,039)

Move 28 Green		Pip: 53
		Game 13 19 point match Green-White: Score 8-14
		Pip: 39

#	Ply	Move	Equity
1	D	3/off	0,873
*2	D	6/4 1/off	0,872 (-0,001)
3	D	6/4 3/2	0,868 (-0,005)
4	D	4/2 1/off	0,863 (-0,010)
5	D	5/3 1/off	0,862 (-0,011)

Move 28 White		Pip: 53
		Game 13 19 point match Green-White: Score 8-14
		Pip: 36

#	Ply	Move	Equity
*1	D	5/off 4/off	-0,893
2	D	6/2 5/off	-0,914 (-0,021)
3	D	6/1 4/off	-0,921 (-0,027)
4	D	5/off 5/1	-0,921 (-0,028)
5	D	6/1 6/2	-0,962 (-0,068)

Move 29 Green		Pip: 44
		Game 13 19 point match Green-White: Score 8-14
		Pip: 36

#	Ply	Move	Equity
*1	D	6/off 4/off	0,950
2	D	6/off 5/1	0,942 (-0,008)
3	D	6/off 6/2	0,934 (-0,016)

Move 29 White		Pip: 44
		Game 13 19 point match Green-White: Score 8-14
		Pip: 26

#	Ply	Move	Equity
*1	D	4/off 2/off	-0,972
2	D	6/off	-0,978 (-0,006)
3	D	5/1 2/off	-0,980 (-0,008)
4	D	5/3 4/off	-0,983 (-0,011)
5	D	4/off 3/1	-0,984 (-0,012)

Move 30 Green		Pip: 38
		Game 13 19 point match Green-White: Score 8-14
		Pip: 26

#	Ply	Move	Equity
*1	D	5/4 3/off	0,938
2	D	3/off 3/2	0,937 (-0,002)
3	D	4/off	0,933 (-0,005)
4	D	6/5 3/off	0,928 (-0,010)
5	D	5/2 3/2	0,927 (-0,012)

Move 30 White		Pip: 38
		Game 13 19 point match Green-White: Score 8-14
		Pip: 22

#	Ply	Move	Equity
*1	D	6/off	-0,974
2	D	5/1 2/off	-0,979 (-0,005)
3	D	6/4 5/1	-0,989 (-0,015)
4	D	6/2 6/4	-0,990 (-0,016)
5	D	6/2 5/3	-0,990 (-0,016)

Move 31 Green		Pip: 32
		Game 13 19 point match Green-White: Score 8-14
		Pip: 22

#	Ply	Move	Equity
*1	D	5/off 4/off	0,991
2	D	6/1 4/off	0,987 (-0,004)
3	D	6/2 5/off	0,985 (-0,005)
4	D	6/1 5/1	0,977 (-0,014)

Move 31 White		Pip: 32
		Game 13 19 point match Green-White: Score 8-14
		Pip: 13

#	Ply	Move	Equity
*1	D	3/off 2/off	-0,997
2	D	6/4 3/off	-1,000 (-0,003)
3	D	5/off	-1,000 (-0,003)
4	D	3/off 3/1	-1,000 (-0,003)
5	D	6/3 2/off	-1,000 (-0,003)

Move 32 Green		Pip: 27
		Game 13 19 point match Green-White: Score 8-14
		Pip: 13

#	Ply	Move	Equity
*1	D	4/2 3/off	0,994
2	D	6/4 3/off	0,993 (-0,001)
3	D	6/1	0,992 (-0,002)
4	D	6/3 4/2	0,989 (-0,004)
5	D	4/1 3/1	0,985 (-0,009)

Move 32 White		Pip: 27
		Game 13 19 point match Green-White: Score 8-14
		Pip: 8

#	Ply	Move	Equity
1	D	5/1 3/off	-1,000
2	D	6/3 5/1	-1,000 ( 0,000)
*3	D	6/2 3/off	-1,000 ( 0,000)
4	D	6/2 5/2	-1,000 (-0,000)
5	D	5/1 5/2	-1,000 (-0,000)

Move 33 Green		Pip: 20
		Game 13 19 point match Green-White: Score 8-14
		Pip: 8

#	Ply	Move	Equity
*1	D	6/5 2/off	0,996
2	D	6/4 2/1	0,995 (-0,001)
3	D	6/3	0,992 (-0,004)

Move 33 White		Pip: 20
		Game 13 19 point match Green-White: Score 8-14
		Pip: 5

#	Ply	Move	Equity
*1	D	5/2 1/off	-1,000
2	D	5/2 5/4	-1,000 ( 0,000)
3	D	5/1	-1,000 ( 0,000)

Move 34 Green		Pip: 16
		Game 13 19 point match Green-White: Score 8-14
		Pip: 5

#	Ply	Move	Equity
*1	1	5/off	0,999

Michihito wins 2 points.

Game 13 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	extra-terrestrial	expert
Overall	1,180	4,523
Checker play	1,180	4,523
Double	0,000	0,000
Take	0,000	0,000

Game 14 Match to 19. Score Green-White: 10-14

Move 1 Green		Pip: 167
		Game 14 19 point match Green-White: Score 10-14
		Pip: 167

#	Ply	Move	Equity
*1	3	8/3 6/3	0,150
2	3	24/21 13/8	0,106 (-0,045)
3	3	13/8 13/10	0,073 (-0,078)
4	3	24/16	0,059 (-0,092)
5	3	13/5	0,046 (-0,104)

Move 1 White		Pip: 167
		Game 14 19 point match Green-White: Score 10-14
		Pip: 159

#	Ply	Move	Equity
*1	2	13/3(2)	-0,086
2	2	13/8 8/3(3)	-0,273 (-0,187)
3	2	13/8(3) 8/3	-0,358 (-0,271)
4	1	13/8(4)	-0,563 (-0,477)

Move 2 Green		Pip: 147
		Game 14 19 point match Green-White: Score 10-14
		Pip: 159

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,003
	0,8% 15,6% 50,4% 49,6% 16,0% 0,9%
1.	No double	0,105
2.	Double, take	-0,062	(-0,167)
3.	Double, pass	1,000	(+0,895)
Proper cube action: No double, take			16%

#	Ply	Move	Equity
*1	R	24/13	0,005
		95% confidence interval: - money cubeless eq.: -0,058 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 24412 games), played 2-ply (precise), random seed, with race database.
2	R	24/18 13/8	-0,033 (-0,038)
		95% confidence interval: - money cubeless eq.: -0,092 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 33220 games), played 2-ply (precise), random seed, with race database.
3	3	13/7 13/8	-0,022 (-0,027)
4	3	13/2	-0,127 (-0,133)
5	2	13/7 8/3	-0,266 (-0,271)

Move 2 White		Pip: 147
		Game 14 19 point match Green-White: Score 10-14
		Pip: 148

#	Ply	Move	Equity
1	R	24/16	-0,105
		95% confidence interval: - money cubeless eq.: -0,015 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 20681 games), played 2-ply (precise), random seed, with race database.
*2	R	24/18 13/11	-0,177 (-0,072)
		95% confidence interval: - money cubeless eq.: -0,056 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25445 games), played 2-ply (precise), random seed, with race database.
3	3	24/18 8/6	-0,209 (-0,104)
4	3	13/5	-0,229 (-0,123)
5	3	24/18 6/4	-0,313 (-0,208)

Move 3 Green		Pip: 139
		Game 14 19 point match Green-White: Score 10-14
		Pip: 148

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,053
	0,8% 15,9% 52,1% 47,9% 14,9% 0,7%
1.	No double	0,176
2.	Double, take	0,030	(-0,146)
3.	Double, pass	1,000	(+0,824)
Proper cube action: No double, take			15%

#	Ply	Move	Equity
*1	2	13/7*	0,164
2	2	8/4 6/4	-0,134 (-0,298)
3	1	13/9 13/11	-0,163 (-0,327)
4	1	24/20 13/11	-0,174 (-0,338)
5	1	24/18	-0,191 (-0,355)

Move 3 White		Pip: 146
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	R	bar/23 24/21	-0,365
		95% confidence interval: - money cubeless eq.: -0,198 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 27800 games), played 2-ply (precise), random seed, with race database.
2	R	bar/20	-0,402 (-0,037)
		95% confidence interval: - money cubeless eq.: -0,211 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 26749 games), played 2-ply (precise), random seed, with race database.
3	R	bar/23 11/8	-0,408 (-0,043)
		95% confidence interval: - money cubeless eq.: -0,209 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22594 games), played 2-ply (precise), random seed, with race database.
4	3	bar/23 6/3	-0,424 (-0,059)
5	3	bar/23 8/5	-0,448 (-0,083)

Move 4 Green		Pip: 141
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,215
	0,9% 17,1% 57,8% 42,2% 11,8% 0,4%
	95% confidence interval: - money cubeless eq.: 0,215 �0,023, - live cube no double: 0,367 �0,045, - live cube double take: 0,334 �0,053. Rollout settings: Full rollout, 324 games (equiv. 10426 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,380
2.	Double, take	0,349	(-0,030)
3.	Double, pass	1,000	(+0,620)
Proper cube action: No double, take			5%
Live cube
1.	No double	0,367
2.	Double, take	0,334	(-0,033)
3.	Double, pass	1,000	(+0,633)
Proper cube action: No double, take			5%

#	Ply	Move	Equity
*1	2	8/4* 7/4	0,483
2	2	7/4* 6/2*	0,213 (-0,270)
3	1	13/9 7/4*	0,176 (-0,307)
4	1	24/20 7/4*	0,110 (-0,373)
5	1	24/21 7/3	-0,015 (-0,499)

Move 4 White		Pip: 145
		Game 14 19 point match Green-White: Score 10-14
		Pip: 135

#	Ply	Move	Equity
*1	3	bar/23 6/1*	-0,457
2	3	bar/23 11/6	-0,515 (-0,058)
3	3	bar/23 8/3	-0,531 (-0,074)
4	2	bar/23 13/8	-0,752 (-0,295)
5	1	bar/20 11/9	-0,788 (-0,331)

Move 5 Green		Pip: 138
		Game 14 19 point match Green-White: Score 10-14
		Pip: 136

Cube action equity		Alert: Correct decision not to double
Rollout	Money equity:	0,224
	1,4% 18,1% 58,6% 41,4% 14,1% 0,2%
	95% confidence interval: - money cubeless eq.: 0,224 �0,026, - live cube no double: 0,387 �0,046, - live cube double take: 0,348 �0,060. Rollout settings: Full rollout, 324 games (equiv. 10298 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	No double	0,438
2.	Double, take	0,390	(-0,048)
3.	Double, pass	1,000	(+0,562)
Proper cube action: No double, take			8%
Live cube
1.	No double	0,387
2.	Double, take	0,348	(-0,039)
3.	Double, pass	1,000	(+0,613)
Proper cube action: No double, take			6%

#	Ply	Move	Equity
*1	3	bar/24* 13/11	0,751
2	3	bar/24* 6/4	0,614 (-0,136)
3	3	bar/24* 8/6	0,594 (-0,156)
4	1	bar/23 8/7	0,104 (-0,647)
5	1	bar/23 6/5	0,077 (-0,674)

Move 5 White		Pip: 162
		Game 14 19 point match Green-White: Score 10-14
		Pip: 133

#	Ply	Move	Equity
*1	1	bar/17*	-0,354
2	1	bar/23 11/5	-0,919 (-0,565)
3	1	bar/23 8/2	-1,000 (-0,646)
4	1	bar/23 13/7	-1,000 (-0,646)

Move 6 Green		Pip: 154
		Game 14 19 point match Green-White: Score 10-14
		Pip: 150

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,165
	1,2% 20,4% 55,4% 44,6% 14,9% 1,0%
1.	No double	0,358
2.	Double, take	0,284	(-0,074)
3.	Double, pass	1,000	(+0,642)
Proper cube action: No double, take			10%

#	Ply	Move	Equity
*1	R	bar/21 11/10	0,106
		95% confidence interval: - money cubeless eq.: 0,018 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 30281 games), played 2-ply (precise), random seed, with race database.
2	R	bar/20	0,097 (-0,009)
		95% confidence interval: - money cubeless eq.: 0,012 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 25170 games), played 2-ply (precise), random seed, with race database.
3	R	bar/21 6/5	0,093 (-0,014)
		95% confidence interval: - money cubeless eq.: 0,003 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28304 games), played 2-ply (precise), random seed, with race database.
4	3	bar/21 24/23	0,065 (-0,041)
5	3	bar/24 11/7	0,054 (-0,052)

Move 6 White		Pip: 154
		Game 14 19 point match Green-White: Score 10-14
		Pip: 145

#	Ply	Move	Equity
*1	3	17/15*/10	-0,128
2	3	17/15* 6/1*	-0,178 (-0,050)
3	3	17/15* 11/6	-0,196 (-0,068)
4	3	17/15* 8/3	-0,299 (-0,172)
5	2	23/18 17/15*	-0,309 (-0,181)

Move 7 Green		Pip: 147
		Game 14 19 point match Green-White: Score 10-14
		Pip: 160

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,029
	0,9% 16,5% 51,1% 48,9% 15,7% 0,9%
1.	No double	0,147
2.	Double, take	-0,015	(-0,162)
3.	Double, pass	1,000	(+0,853)
Proper cube action: No double, take			16%

#	Ply	Move	Equity
*1	1	bar/20 21/20	0,167
2	1	bar/24 21/16	-0,154 (-0,321)
3	1	bar/20 24/23	-0,211 (-0,379)
4	1	bar/24 13/8	-0,217 (-0,384)
5	1	bar/20 6/5	-0,226 (-0,393)

Move 7 White		Pip: 147
		Game 14 19 point match Green-White: Score 10-14
		Pip: 154

#	Ply	Move	Equity
1	R	11/10 8/3	-0,306
		95% confidence interval: - money cubeless eq.: -0,158 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18033 games), played 2-ply (precise), random seed, with race database.
2	R	23/18 11/10	-0,309 (-0,003)
		95% confidence interval: - money cubeless eq.: -0,159 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23100 games), played 2-ply (precise), random seed, with race database.
*3	R	11/10 6/1*	-0,326 (-0,020)
		95% confidence interval: - money cubeless eq.: -0,181 �0,016. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 28509 games), played 2-ply (precise), random seed, with race database.
4	3	13/8 11/10	-0,399 (-0,094)
5	3	11/6 10/9	-0,448 (-0,142)

Move 8 Green		Pip: 141
		Game 14 19 point match Green-White: Score 10-14
		Pip: 155

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,169
	0,8% 17,6% 55,0% 45,0% 10,9% 0,5%
1.	No double	0,314
2.	Double, take	0,236	(-0,078)
3.	Double, pass	1,000	(+0,686)
Proper cube action: No double, take			10%

#	Ply	Move	Equity
*1	1	Can't move	0,017

Move 8 White		Pip: 141
		Game 14 19 point match Green-White: Score 10-14
		Pip: 155

#	Ply	Move	Equity
*1	3	6/1	-0,099
2	3	23/20 8/6	-0,217 (-0,119)
3	2	23/20 3/1	-0,310 (-0,212)
4	2	23/18	-0,312 (-0,214)
5	2	13/10 8/6	-0,338 (-0,240)

Move 9 Green		Pip: 136
		Game 14 19 point match Green-White: Score 10-14
		Pip: 155

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,020
	0,5% 15,4% 50,0% 50,0% 13,2% 0,6%
1.	No double	0,100
2.	Double, take	-0,068	(-0,168)
3.	Double, pass	1,000	(+0,900)
Proper cube action: No double, take			16%

#	Ply	Move	Equity
*1	1	bar/21 13/7	0,075
2	1	bar/21 20/14	-0,315 (-0,391)

Move 9 White		Pip: 136
		Game 14 19 point match Green-White: Score 10-14
		Pip: 145

#	Ply	Move	Equity
*1	1	8/4*/3	-0,139
2	1	10/9 8/4*	-0,456 (-0,317)
3	1	8/3	-0,467 (-0,329)
4	1	8/4* 8/7	-0,550 (-0,412)
5	1	13/8	-0,551 (-0,412)

Move 10 Green		Pip: 131
		Game 14 19 point match Green-White: Score 10-14
		Pip: 149

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,098
	0,6% 16,9% 53,0% 47,0% 13,1% 0,6%
1.	No double	0,234
2.	Double, take	0,104	(-0,131)
3.	Double, pass	1,000	(+0,766)
Proper cube action: No double, take			15%

#	Ply	Move	Equity
*1	1	Can't move	-0,137

Move 10 White		Pip: 131
		Game 14 19 point match Green-White: Score 10-14
		Pip: 149

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,175
	1,1% 19,4% 54,8% 45,2% 12,2% 0,5%
1.	No double	0,137
2.	Double, take	-0,278	(-0,415)
3.	Double, pass	1,000	(+0,863)
Proper cube action: No double, take			32%

#	Ply	Move	Equity
*1	3	23/18*/17	0,263
2	3	23/18* 8/7	0,181 (-0,082)
3	3	23/18* 3/2	0,169 (-0,094)
4	3	23/18* 10/9	0,169 (-0,095)
5	1	13/8 3/2	-0,344 (-0,607)

Move 11 Green		Pip: 125
		Game 14 19 point match Green-White: Score 10-14
		Pip: 167

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,265
	0,4% 11,8% 41,6% 58,4% 20,9% 1,1%
1.	No double	-0,257
2.	Double, take	-0,595	(-0,338)
3.	Double, pass	1,000	(+1,257)
Proper cube action: No double, take			21%

#	Ply	Move	Equity
*1	1	bar/21	-0,286

Move 11 White		Pip: 125
		Game 14 19 point match Green-White: Score 10-14
		Pip: 163

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,290
	1,3% 21,1% 59,2% 40,8% 11,3% 0,4%
1.	No double	0,286
2.	Double, take	0,013	(-0,274)
3.	Double, pass	1,000	(+0,714)
Proper cube action: No double, take			28%

#	Ply	Move	Equity
1	R	17/16 8/4*	0,153
		95% confidence interval: - money cubeless eq.: 0,176 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 22320 games), played 2-ply (precise), random seed, with race database.
2	R	8/4* 8/7	0,123 (-0,030)
		95% confidence interval: - money cubeless eq.: 0,152 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18776 games), played 2-ply (precise), random seed, with race database.
*3	R	17/13 3/2	0,099 (-0,055)
		95% confidence interval: - money cubeless eq.: 0,142 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 23847 games), played 2-ply (precise), random seed, with race database.
4	3	8/4*/3	0,093 (-0,060)
5	3	10/6 10/9	-0,011 (-0,164)

Move 12 Green		Pip: 120
		Game 14 19 point match Green-White: Score 10-14
		Pip: 163

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	-0,131
	0,6% 14,6% 45,3% 54,7% 18,0% 0,9%
1.	No double	-0,080
2.	Double, take	-0,349	(-0,270)
3.	Double, pass	1,000	(+1,080)
Proper cube action: No double, take			20%

#	Ply	Move	Equity
1	R	bar/21 13/8	-0,036
		95% confidence interval: - money cubeless eq.: -0,088 �0,021. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 16463 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/20 6/2*	-0,174 (-0,138)
		95% confidence interval: - money cubeless eq.: -0,189 �0,019. Rollout settings: Truncated rollout, depth 11, 180 games (equiv. 20686 games), played 2-ply (precise), random seed, with race database.
3	3	bar/21 6/1	-0,198 (-0,162)
4	3	bar/16	-0,247 (-0,211)
5	3	bar/20 13/9	-0,277 (-0,241)

Alert: Blunder (0,138)

Move 12 White		Pip: 122
		Game 14 19 point match Green-White: Score 10-14
		Pip: 154

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,156
	1,0% 18,5% 55,3% 44,7% 14,0% 0,5%
1.	No double	0,116
2.	Double, take	-0,333	(-0,448)
3.	Double, pass	1,000	(+0,884)
Proper cube action: No double, take			34%

#	Ply	Move	Equity
*1	1	Can't move	-0,075

Move 13 Green		Pip: 122
		Game 14 19 point match Green-White: Score 10-14
		Pip: 154

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,015
	0,5% 18,0% 48,9% 51,1% 14,2% 0,7%
1.	No double	0,102
2.	Double, take	-0,071	(-0,174)
3.	Double, pass	1,000	(+0,898)
Proper cube action: No double, take			16%

#	Ply	Move	Equity
*1	R	21/13	-0,095
		95% confidence interval: - money cubeless eq.: -0,117 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18552 games), played 2-ply (precise), random seed, with race database.
2	R	21/16 13/10	-0,108 (-0,013)
		95% confidence interval: - money cubeless eq.: -0,142 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16020 games), played 2-ply (precise), random seed, with race database.
3	R	21/18 13/8	-0,175 (-0,080)
		95% confidence interval: - money cubeless eq.: -0,192 �0,025. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14267 games), played 2-ply (precise), random seed, with race database.
4	3	13/8 13/10	-0,110 (-0,016)
5	3	13/5	-0,142 (-0,047)

Move 13 White		Pip: 122
		Game 14 19 point match Green-White: Score 10-14
		Pip: 146

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,147
	0,7% 14,8% 55,9% 44,1% 12,1% 0,4%
1.	No double	0,124
2.	Double, take	-0,291	(-0,415)
3.	Double, pass	1,000	(+0,876)
Proper cube action: No double, take			32%

#	Ply	Move	Equity
*1	3	bar/20 3/2	0,074
2	3	bar/24 13/8	0,027 (-0,047)
3	3	bar/20 2/1	0,016 (-0,058)
4	1	bar/20 8/7	-0,318 (-0,392)
5	1	bar/24 8/3	-0,327 (-0,401)

Move 14 Green		Pip: 116
		Game 14 19 point match Green-White: Score 10-14
		Pip: 146

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,096
	0,3% 12,9% 44,6% 55,4% 11,6% 0,4%
1.	No double	-0,076
2.	Double, take	-0,352	(-0,276)
3.	Double, pass	1,000	(+1,076)
Proper cube action: No double, take			20%

#	Ply	Move	Equity
*1	R	13/8	-0,306
		95% confidence interval: - money cubeless eq.: -0,260 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 14457 games), played 2-ply (precise), random seed, with race database.
2	R	13/10 13/11	-0,379 (-0,072)
		95% confidence interval: - money cubeless eq.: -0,318 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15361 games), played 2-ply (precise), random seed, with race database.
3	3	13/10 4/2	-0,346 (-0,040)
4	3	20/18 13/10	-0,362 (-0,056)
5	3	13/10 6/4	-0,371 (-0,065)

Move 14 White		Pip: 116
		Game 14 19 point match Green-White: Score 10-14
		Pip: 141

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	0,246
	0,5% 12,6% 60,9% 39,1% 10,0% 0,3%
1.	No double	0,271
2.	Double, take	0,004	(-0,267)
3.	Double, pass	1,000	(+0,729)
Proper cube action: No double, take			27%

#	Ply	Move	Equity
*1	R	20/17* 3/2	0,389
		95% confidence interval: - money cubeless eq.: 0,332 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12998 games), played 2-ply (precise), random seed, with race database.
2	R	20/17*/16	0,377 (-0,011)
		95% confidence interval: - money cubeless eq.: 0,325 �0,020. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13738 games), played 2-ply (precise), random seed, with race database.
3	2	20/17* 10/9	0,012 (-0,377)
4	2	20/17* 8/7	-0,052 (-0,440)
5	1	13/10 3/2	-0,092 (-0,480)

Move 15 Green		Pip: 112
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,297
	0,3% 9,1% 39,0% 61,0% 16,1% 0,9%
1.	No double	-0,331
2.	Double, take	-0,730	(-0,399)
3.	Double, pass	1,000	(+1,331)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
1	R	bar/22 6/5	-0,302
		95% confidence interval: - money cubeless eq.: -0,262 �0,024. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 9473 games), played 2-ply (precise), random seed, with race database.
*2	R	bar/21	-0,448 (-0,145)
		95% confidence interval: - money cubeless eq.: -0,376 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12275 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22 3/2	-0,349 (-0,047)
4	3	bar/22 2/1	-0,395 (-0,092)
5	2	bar/22 4/3	-0,542 (-0,240)

Alert: Blunder (0,145)

Move 15 White		Pip: 112
		Game 14 19 point match Green-White: Score 10-14
		Pip: 154

Cube action equity		Alert: Correct decision not to double
3-Ply	Money equity:	0,326
	0,6% 16,6% 62,0% 38,0% 8,5% 0,2%
1.	No double	0,373
2.	Double, take	0,186	(-0,187)
3.	Double, pass	1,000	(+0,627)
Proper cube action: No double, take			23%

#	Ply	Move	Equity
*1	1	10/4* 8/4	0,524
2	1	17/7	0,180 (-0,344)
3	1	10/4* 10/6	0,164 (-0,361)
4	1	17/13 10/4*	0,099 (-0,426)
5	1	13/3	0,074 (-0,450)

Move 16 Green		Pip: 102
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,461
	0,4% 8,4% 34,9% 65,1% 23,9% 0,8%
1.	No double	-0,524
2.	Double, take	-0,997	(-0,473)
3.	Double, pass	1,000	(+1,524)
Proper cube action: No double, take			24%

#	Ply	Move	Equity
*1	1	Can't move	-0,764

		Pip: 102
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

	White	Double
16.	Green	Take

Cube action equity
Rollout	Money equity:	0,667
	0,3% 30,2% 71,1% 28,9% 5,8% 0,2%
	95% confidence interval: - money cubeless eq.: 0,667 �0,021, - live cube no double: 0,784 �0,032, - live cube double take: 0,965 �0,065. Rollout settings: Full rollout, 324 games (equiv. 13187 games), played 2-ply (fast), cube 2-ply, seed 1, without race database.
Evaluations
1.	Double, take	0,997
2.	No double	0,837	(-0,161)
3.	Double, pass	1,000	(+0,003)
Proper cube action: Double, take
Live cube
1.	Double, take	0,965
2.	No double	0,784	(-0,181)
3.	Double, pass	1,000	(+0,035)
Proper cube action: Double, take

Move 17 White		Pip: 102
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

#	Ply	Move	Equity
1	R	17/14 13/8	0,444
		95% confidence interval: - money cubeless eq.: 0,651 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10413 games), played 2-ply (precise), random seed, with race database.
*2	R	13/8 13/10	0,423 (-0,021)
		95% confidence interval: - money cubeless eq.: 0,646 �0,025. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 9939 games), played 2-ply (precise), random seed, with race database.
3	3	13/8 10/7	0,355 (-0,088)
4	3	17/9	0,348 (-0,095)
5	2	13/10 8/3	0,132 (-0,311)

Move 18 Green		Pip: 94
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,652
	0,2% 6,7% 29,9% 70,1% 31,0% 0,9%
1.	No redouble	-0,437
2.	Redouble, take	-0,777	(-0,340)
3.	Redouble, pass	1,000	(+1,437)
Proper cube action: No redouble, take			19%

#	Ply	Move	Equity
*1	1	Can't move	-0,580

Move 18 White		Pip: 94
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

#	Ply	Move	Equity
*1	3	17/11 13/11	0,697
2	3	17/9	0,594 (-0,103)
3	3	17/15 13/7	0,557 (-0,139)
4	3	10/4 10/8	0,525 (-0,172)
5	3	17/11 10/8	0,479 (-0,218)

Move 19 Green		Pip: 86
		Game 14 19 point match Green-White: Score 10-14
		Pip: 158

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,805
	0,1% 3,2% 25,2% 74,8% 33,3% 0,9%
1.	No redouble	-0,649
2.	Redouble, take	-1,093	(-0,444)
3.	Redouble, pass	1,000	(+1,649)
Proper cube action: No redouble, take			21%

#	Ply	Move	Equity
*1	R	bar/22 13/10(2) 10/7	-0,488
		95% confidence interval: - money cubeless eq.: -0,694 �0,027. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 8661 games), played 2-ply (precise), random seed, with race database.
2	R	bar/22 13/10(3)	-0,539 (-0,052)
		95% confidence interval: - money cubeless eq.: -0,711 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12066 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22 13/4	-0,546 (-0,058)
4	3	bar/22 13/10(2) 6/3	-0,572 (-0,085)
5	3	bar/22 13/7 6/3	-0,573 (-0,086)

Move 19 White		Pip: 86
		Game 14 19 point match Green-White: Score 10-14
		Pip: 146

#	Ply	Move	Equity
*1	2	10/4 10/6	0,500
2	2	11/1	0,076 (-0,425)
3	1	8/2 8/4	0,036 (-0,464)
4	1	10/4 8/4	-0,161 (-0,661)
5	1	10/6 8/2	-0,168 (-0,668)

Move 20 Green		Pip: 76
		Game 14 19 point match Green-White: Score 10-14
		Pip: 146

Cube action equity		Alert: Correct decision not to double
1-Ply	Money equity:	-0,651
	0,1% 4,5% 30,0% 70,0% 28,6% 1,0%
1.	No redouble	-0,457
2.	Redouble, take	-0,837	(-0,380)
3.	Redouble, pass	1,000	(+1,457)
Proper cube action: No redouble, take			21%

#	Ply	Move	Equity
1	R	10/7 6/2	-0,601
		95% confidence interval: - money cubeless eq.: -0,755 �0,013. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 29056 games), played 2-ply (precise), random seed, with race database.
*2	R	13/10 6/2	-0,623 (-0,022)
		95% confidence interval: - money cubeless eq.: -0,776 �0,015. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 22251 games), played 2-ply (precise), random seed, with race database.
3	R	20/13	-0,677 (-0,076)
		95% confidence interval: - money cubeless eq.: -0,831 �0,015. Rollout settings: Truncated rollout, depth 11, 288 games (equiv. 20559 games), played 2-ply (precise), random seed, with race database.
4	3	13/9 10/7	-0,671 (-0,070)
5	3	22/18 10/7	-0,698 (-0,096)

Move 20 White		Pip: 76
		Game 14 19 point match Green-White: Score 10-14
		Pip: 139

#	Ply	Move	Equity
*1	1	6/3* 4/3	1,099
2	1	6/3*/2	0,667 (-0,432)
3	1	11/8 4/3*	0,496 (-0,603)
4	1	6/3* 2/1	0,372 (-0,727)
5	1	4/1 2/1	0,253 (-0,846)

Alert: Joker (0,531)

Move 21 Green		Pip: 72
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	1	Can't move	-1,207

Move 21 White		Pip: 72
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	3	8/4 8/6	1,225
2	3	11/7 11/9	1,131 (-0,093)
3	2	11/7 8/6	1,013 (-0,211)
4	2	11/9 8/4	0,972 (-0,252)
5	2	8/2	0,924 (-0,300)

Move 22 Green		Pip: 66
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	1	Can't move	-1,364

Move 22 White		Pip: 66
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	3	11/9(2)	1,390
2	3	11/10(2) 10/8	1,298 (-0,092)
3	3	11/10(2) 4/3 2/1	1,285 (-0,105)
4	3	11/7	1,281 (-0,109)
5	3	11/10(2) 10/9 4/3	1,259 (-0,131)

Move 23 Green		Pip: 62
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	1	Can't move	-1,541

Move 23 White		Pip: 62
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	3	9/3 9/7	1,622
2	3	9/1	1,587 (-0,035)
3	3	9/3 6/4	1,584 (-0,038)
4	3	9/3 4/2	1,567 (-0,054)

Move 24 Green		Pip: 54
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	1	Can't move	-1,795

Move 24 White		Pip: 54
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	2	7/3 6/2(3)	1,927
2	2	7/3 4/off(3)	1,715 (-0,212)
3	1	7/3 6/2 4/off(2)	1,131 (-0,796)
4	1	7/3 6/2(2) 4/off	1,074 (-0,852)

Move 25 Green		Pip: 38
		Game 14 19 point match Green-White: Score 10-14
		Pip: 142

#	Ply	Move	Equity
*1	3	bar/19 20/15	-1,904
2	3	bar/19 10/5	-1,911 (-0,007)
3	3	bar/14	-1,917 (-0,013)
4	3	bar/20 10/4	-1,940 (-0,036)
5	3	bar/19 7/2	-1,943 (-0,038)

Move 25 White		Pip: 38
		Game 14 19 point match Green-White: Score 10-14
		Pip: 131

#	Ply	Move	Equity
*1	3	2/off(4)	1,995
2	3	3/1 2/off(3)	1,990 (-0,005)
3	3	4/2 2/off(3)	1,984 (-0,011)
4	3	4/off 3/1 2/off	1,925 (-0,070)
5	3	3/1(2) 2/off(2)	1,918 (-0,077)

Move 26 Green		Pip: 30
		Game 14 19 point match Green-White: Score 10-14
		Pip: 131

#	Ply	Move	Equity
*1	3	20/18 15/12	-2,024
2	3	15/12 7/5	-2,024 (-0,000)
3	3	20/17 7/5	-2,025 (-0,001)
4	3	19/16 7/5	-2,026 (-0,002)
5	3	15/12 10/8	-2,026 (-0,002)

Move 26 White		Pip: 30
		Game 14 19 point match Green-White: Score 10-14
		Pip: 126

#	Ply	Move	Equity
*1	3	4/off 2/off	2,019
2	3	4/off 3/1	2,019 (-0,000)
3	3	4/off 4/2	2,015 (-0,005)

Move 27 Green		Pip: 24
		Game 14 19 point match Green-White: Score 10-14
		Pip: 126

#	Ply	Move	Equity
1	3	19/14 7/6	-2,037
2	3	10/5 7/6	-2,037 (-0,000)
*3	3	20/15 7/6	-2,038 (-0,001)
4	3	18/13 7/6	-2,039 (-0,002)
5	3	12/11 10/5	-2,042 (-0,005)

Move 27 White		Pip: 24
		Game 14 19 point match Green-White: Score 10-14
		Pip: 120

#	Ply	Move	Equity
1	3	4/off 3/1	2,032
2	3	4/off 4/2	2,031 (-0,000)
*3	3	4/off 2/off	2,030 (-0,002)

Move 28 Green		Pip: 18
		Game 14 19 point match Green-White: Score 10-14
		Pip: 120

#	Ply	Move	Equity
1	3	10/6	-2,052
2	3	15/11	-2,052 (-0,001)
3	3	19/16 12/11	-2,053 (-0,001)
4	3	19/16 10/9	-2,053 (-0,001)
*11	3	19/18 15/12	-2,054 (-0,002)

Move 28 White		Pip: 18
		Game 14 19 point match Green-White: Score 10-14
		Pip: 116

#	Ply	Move	Equity
*1	1	4/off 3/off	2,053

Move 29 Green		Pip: 11
		Game 14 19 point match Green-White: Score 10-14
		Pip: 116

#	Ply	Move	Equity
*1	3	12/6(2)	-2,058
2	3	18/6	-2,059 (-0,000)
3	3	18/15 12/6 10/7	-2,060 (-0,002)
4	3	18/15(2) 12/6	-2,060 (-0,002)
5	3	18/15 12/9(2) 9/6	-2,060 (-0,002)

Move 29 White		Pip: 11
		Game 14 19 point match Green-White: Score 10-14
		Pip: 104

#	Ply	Move	Equity
*1	1	3/off(2)	2,062

Move 30 Green		Pip: 5
		Game 14 19 point match Green-White: Score 10-14
		Pip: 104

#	Ply	Move	Equity
1	3	18/14 10/5	-2,066
2	3	18/13 10/6	-2,066 (-0,000)
3	3	18/9	-2,066 (-0,000)
4	3	10/5 6/2	-2,066 (-0,000)
*6	3	10/5 10/6	-2,066 (-0,000)

Move 30 White		Pip: 5
		Game 14 19 point match Green-White: Score 10-14
		Pip: 95

Groutsos wins 4 points.

Game 14 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	expert	world class
Overall	5,429	2,976
Checker play	5,429	2,976
Double	0,000	0,000
Take	0,000	0,000

Game 15 Match to 19. Score Green-White: 10-18 (Crawford)

Move 1 Green		Pip: 167
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 167

#	Ply	Move	Equity
*1	3	8/5 6/5	0,127
2	3	13/10 6/5	0,015 (-0,112)
3	3	24/23 13/10	0,009 (-0,118)
4	3	24/20	0,002 (-0,126)
5	3	24/21 24/23	0,001 (-0,127)

Move 1 White		Pip: 167
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 163

#	Ply	Move	Equity
1	R	24/15	-0,166
		95% confidence interval: - money cubeless eq.: -0,238 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 31366 games), played 2-ply (precise), random seed, with race database.
*2	R	24/18 13/10	-0,176 (-0,009)
		95% confidence interval: - money cubeless eq.: -0,243 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 42348 games), played 2-ply (precise), random seed, with race database.
3	R	24/18 24/21	-0,204 (-0,037)
		95% confidence interval: - money cubeless eq.: -0,304 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 34480 games), played 2-ply (precise), random seed, with race database.
4	3	24/21 13/7	-0,213 (-0,047)
5	3	13/4	-0,224 (-0,058)

Move 2 Green		Pip: 158
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 163

#	Ply	Move	Equity
*1	2	24/15*	0,249
2	2	24/20 6/1*	0,089 (-0,160)
3	2	24/20 13/8	0,073 (-0,176)
4	2	13/8 13/9	0,035 (-0,214)
5	2	13/9 6/1*	0,033 (-0,217)

Move 2 White		Pip: 173
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 154

#	Ply	Move	Equity
*1	3	bar/23 24/18	-0,185
2	3	bar/23 13/7	-0,315 (-0,130)
3	2	bar/23 8/2	-0,385 (-0,200)

Move 3 Green		Pip: 165
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 154

#	Ply	Move	Equity
*1	3	24/18 15/9 8/2*(2)	0,260
2	3	15/3 8/2*(2)	0,196 (-0,064)
3	2	24/18 15/3 8/2*	0,016 (-0,244)

Move 3 White		Pip: 167
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 130

#	Ply	Move	Equity
*1	1	Can't move	-0,392

Move 4 Green		Pip: 167
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 130

#	Ply	Move	Equity
*1	3	18/15 13/9	0,431
2	3	13/9 13/10	0,396 (-0,035)
3	3	18/11	0,374 (-0,058)
4	3	18/15 9/5	0,366 (-0,065)
5	3	18/14 13/10	0,358 (-0,074)

Move 4 White		Pip: 167
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 123

#	Ply	Move	Equity
*1	3	bar/24 13/10*	-0,276
2	3	bar/22 6/5	-0,413 (-0,137)
3	2	bar/24 8/5	-0,431 (-0,155)
4	2	bar/24 6/3	-0,432 (-0,156)
5	2	bar/22 8/7	-0,456 (-0,179)

Move 5 Green		Pip: 163
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 133

#	Ply	Move	Equity
*1	3	bar/16	0,301
2	3	bar/22 9/3	0,160 (-0,141)

Move 5 White		Pip: 163
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 124

#	Ply	Move	Equity
1	R	13/9* 10/8	-0,286
		95% confidence interval: - money cubeless eq.: -0,395 �0,018. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16744 games), played 2-ply (precise), random seed, with race database.
2	R	13/9* 6/4	-0,292 (-0,006)
		95% confidence interval: - money cubeless eq.: -0,482 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15397 games), played 2-ply (precise), random seed, with race database.
3	R	13/9*/7	-0,301 (-0,014)
		95% confidence interval: - money cubeless eq.: -0,445 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17374 games), played 2-ply (precise), random seed, with race database.
*4	R	24/22 13/9*	-0,311 (-0,025)
		95% confidence interval: - money cubeless eq.: -0,475 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13767 games), played 2-ply (precise), random seed, with race database.
5	3	13/9* 8/6	-0,322 (-0,036)

Move 6 Green		Pip: 157
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 133

#	Ply	Move	Equity
*1	3	bar/23 6/3*	0,270
2	3	bar/22 13/11	0,231 (-0,039)
3	3	bar/20	0,215 (-0,055)
4	3	bar/23 13/10	0,200 (-0,070)
5	3	bar/22 6/4	0,188 (-0,082)

Move 6 White		Pip: 160
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 128

#	Ply	Move	Equity
*1	R	bar/24 10/5	-0,328
		95% confidence interval: - money cubeless eq.: -0,545 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 18881 games), played 2-ply (precise), random seed, with race database.
2	R	bar/24 9/4	-0,328 (-0,000)
		95% confidence interval: - money cubeless eq.: -0,529 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 16421 games), played 2-ply (precise), random seed, with race database.
3	3	bar/24 6/1	-0,375 (-0,047)
4	3	bar/24 8/3	-0,410 (-0,081)
5	3	bar/24 13/8	-0,436 (-0,108)

Move 7 Green		Pip: 154
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 128

#	Ply	Move	Equity
*1	3	23/14	0,265
2	3	23/18 13/9	0,198 (-0,067)
3	3	13/9 6/1*	0,192 (-0,073)
4	3	13/8 13/9	0,150 (-0,114)
5	3	13/4	0,141 (-0,124)

Move 7 White		Pip: 154
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 119

#	Ply	Move	Equity
*1	3	9/3 8/3	-0,337
2	3	13/7 13/8	-0,395 (-0,058)
3	3	24/18 8/3	-0,396 (-0,059)
4	3	24/13	-0,399 (-0,062)
5	3	24/18 9/4	-0,401 (-0,064)

Move 8 Green		Pip: 143
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 119

#	Ply	Move	Equity
*1	3	6/1* 3/1	0,438
2	3	14/9 3/1*	0,332 (-0,107)
3	3	13/8 3/1*	0,284 (-0,154)
4	2	14/9 5/3	0,246 (-0,192)
5	2	14/9 13/11	0,245 (-0,194)

Move 8 White		Pip: 144
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 112

#	Ply	Move	Equity
*1	R	bar/22 6/4	-0,369
		95% confidence interval: - money cubeless eq.: -0,513 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 8189 games), played 2-ply (precise), random seed, with race database.
2	R	bar/22 13/11*	-0,403 (-0,034)
		95% confidence interval: - money cubeless eq.: -0,659 �0,026. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 13888 games), played 2-ply (precise), random seed, with race database.
3	3	bar/22 8/6	-0,441 (-0,072)
4	3	bar/22 5/3	-0,443 (-0,073)
5	3	bar/22 3/1	-0,500 (-0,131)

Move 9 Green		Pip: 139
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 112

#	Ply	Move	Equity
*1	3	5/3*(2)	0,355
2	3	9/8(2) 5/4(2)	0,236 (-0,118)
3	3	6/4(2)	0,230 (-0,125)
4	2	14/13 9/8(2) 2/1	0,138 (-0,217)
5	1	6/5(2) 5/3*	0,093 (-0,262)

Move 9 White		Pip: 142
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 108

#	Ply	Move	Equity
*1	3	bar/20 6/5	-0,197
2	3	bar/20 5/4	-0,254 (-0,057)
3	3	bar/20 8/7	-0,332 (-0,136)
4	2	bar/20 4/3	-0,359 (-0,162)
5	2	bar/20 3/2	-0,476 (-0,279)

Move 10 Green		Pip: 136
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 108

#	Ply	Move	Equity
*1	2	14/8 9/8	0,063
2	2	14/13 9/3	-0,135 (-0,198)
3	2	14/8 3/2	-0,166 (-0,229)
4	2	14/8 2/1	-0,197 (-0,260)
5	2	14/8 6/5*	-0,232 (-0,295)

Move 10 White		Pip: 136
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 101

#	Ply	Move	Equity
*1	3	20/16*/11	0,184
2	3	20/16* 13/8	0,001 (-0,183)
3	2	20/16* 8/3	-0,083 (-0,267)
4	2	20/16* 18/13	-0,163 (-0,347)
5	2	20/16* 6/1	-0,195 (-0,379)

Move 11 Green		Pip: 127
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 117

#	Ply	Move	Equity
*1	1	Can't move	-0,362

Move 11 White		Pip: 127
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 117

#	Ply	Move	Equity
1	R	13/8 6/4	0,538
		95% confidence interval: - money cubeless eq.: 0,800 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 8299 games), played 2-ply (precise), random seed, with race database.
*2	R	11/4	0,502 (-0,036)
		95% confidence interval: - money cubeless eq.: 0,791 �0,019. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11523 games), played 2-ply (precise), random seed, with race database.
3	3	18/13 6/4	0,501 (-0,036)
4	3	8/3 6/4	0,450 (-0,087)
5	1	13/8 13/11	0,210 (-0,328)

Move 12 Green		Pip: 120
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 117

#	Ply	Move	Equity
*1	R	bar/24 13/9	-0,450
		95% confidence interval: - money cubeless eq.: -0,656 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 7331 games), played 2-ply (precise), random seed, with race database.
2	R	bar/24 8/4	-0,460 (-0,010)
		95% confidence interval: - money cubeless eq.: -0,739 �0,023. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11638 games), played 2-ply (precise), random seed, with race database.
3	3	bar/24 6/2	-0,523 (-0,073)

Move 12 White		Pip: 120
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 112

#	Ply	Move	Equity
*1	3	8/3 6/5	0,340
2	3	13/8 6/5	0,291 (-0,050)
3	3	8/7 6/1*	0,275 (-0,066)
4	3	8/3 8/7	0,241 (-0,100)
5	3	13/7	0,216 (-0,125)

Move 13 Green		Pip: 114
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 112

#	Ply	Move	Equity
*1	3	13/8 9/6	-0,298
2	3	9/1	-0,382 (-0,083)
3	3	13/5	-0,399 (-0,100)
4	3	13/10 9/4	-0,421 (-0,123)
5	3	9/4 8/5	-0,432 (-0,133)

Move 13 White		Pip: 114
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 104

#	Ply	Move	Equity
*1	3	13/7 13/8	0,229
2	3	13/2	0,139 (-0,089)
3	2	18/7	-0,031 (-0,260)
4	2	13/7 8/3	-0,032 (-0,261)
5	1	18/13 8/2	0,005 (-0,224)

Move 14 Green		Pip: 103
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 104

#	Ply	Move	Equity
*1	3	24/18* 13/12	0,122
2	3	24/18* 6/5	0,070 (-0,052)
3	1	24/18* 3/2	-0,189 (-0,311)
4	1	24/18* 2/1	-0,207 (-0,329)
5	1	24/23 8/2	-0,487 (-0,609)

Move 14 White		Pip: 121
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 97

#	Ply	Move	Equity
*1	1	Can't move	-0,398

Move 15 Green		Pip: 121
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 97

#	Ply	Move	Equity
1	R	13/12 6/5(3)	0,360
		95% confidence interval: - money cubeless eq.: 0,428 �0,021. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12406 games), played 2-ply (precise), random seed, with race database.
*2	R	12/8	0,226 (-0,134)
		95% confidence interval: - money cubeless eq.: 0,218 �0,022. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12109 games), played 2-ply (precise), random seed, with race database.
3	3	13/12 6/3	0,278 (-0,082)
4	3	13/12 12/11(2) 6/5	0,178 (-0,182)
5	3	13/9	0,171 (-0,188)

Alert: Blunder (0,134)

Move 15 White		Pip: 121
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 93

#	Ply	Move	Equity
*1	3	bar/18	-0,182
2	3	bar/20 3/1	-0,257 (-0,075)
3	3	bar/20 5/3	-0,280 (-0,098)
4	3	bar/20 8/6	-0,291 (-0,109)
5	2	bar/20 4/2	-0,388 (-0,206)

Move 16 Green		Pip: 114
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 93

#	Ply	Move	Equity
1	R	13/3	0,072
		95% confidence interval: - money cubeless eq.: 0,073 �0,017. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 12866 games), played 2-ply (precise), random seed, with race database.
*2	R	18/8	0,064 (-0,008)
		95% confidence interval: - money cubeless eq.: 0,030 �0,015. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 17357 games), played 2-ply (precise), random seed, with race database.
3	2	18/12 13/9	-0,140 (-0,212)
4	2	18/14 8/2	-0,176 (-0,247)
5	2	13/9 8/2	-0,246 (-0,318)

Move 16 White		Pip: 114
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 83

#	Ply	Move	Equity
*1	3	18/12*/9	0,555
2	3	18/12* 18/15	0,551 (-0,004)
3	3	18/12* 8/5	0,436 (-0,119)
4	2	18/12* 5/2	0,339 (-0,216)
5	1	18/12* 4/1	-0,092 (-0,647)

Alert: Joker (0,579)

Move 17 Green		Pip: 105
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,591

Move 17 White		Pip: 105
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	3	8/2 5/2	0,733
2	3	18/12 18/15	0,703 (-0,030)
3	3	18/12 9/6	0,646 (-0,086)
4	3	18/9	0,632 (-0,101)
5	2	18/15 9/3	0,449 (-0,283)

Move 18 Green		Pip: 96
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,749

Move 18 White		Pip: 96
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
1	R	18/13	0,792
		95% confidence interval: - money cubeless eq.: 0,926 �0,012. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 15734 games), played 2-ply (precise), random seed, with race database.
*2	R	9/5 3/2	0,746 (-0,047)
		95% confidence interval: - money cubeless eq.: 0,888 �0,014. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11551 games), played 2-ply (precise), random seed, with race database.
3	3	18/14 8/7	0,766 (-0,026)
4	3	18/14 3/2	0,765 (-0,027)
5	3	18/14 9/8	0,758 (-0,035)

Move 19 Green		Pip: 91
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,765

Move 19 White		Pip: 91
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	3	18/6(2)	0,902
2	3	18/12(2) 12/6 8/2	0,875 (-0,027)

Move 20 Green		Pip: 67
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,905

Move 20 White		Pip: 67
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	R	8/5 6/4	0,934
		95% confidence interval: - money cubeless eq.: 1,128 �0,011. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 5570 games), played 2-ply (precise), random seed, with race database.
2	R	6/3 6/4	0,918 (-0,015)
		95% confidence interval: - money cubeless eq.: 1,096 �0,010. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10454 games), played 2-ply (precise), random seed, with race database.
3	R	8/3	0,910 (-0,024)
		95% confidence interval: - money cubeless eq.: 1,113 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 10209 games), played 2-ply (precise), random seed, with race database.
4	R	8/5 2/off	0,905 (-0,029)
		95% confidence interval: - money cubeless eq.: 1,099 �0,009. Rollout settings: Truncated rollout, depth 11, 144 games (equiv. 11105 games), played 2-ply (precise), random seed, with race database.
5	3	6/3 5/3	0,895 (-0,038)

Move 21 Green		Pip: 62
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,919

Move 21 White		Pip: 62
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	3	5/1 4/1	0,956
2	3	6/3 4/off	0,905 (-0,051)
3	3	5/2 4/off	0,884 (-0,072)
4	3	6/2 5/2	0,856 (-0,100)
5	2	6/3 5/1	0,752 (-0,204)

Move 22 Green		Pip: 55
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,952

Move 22 White		Pip: 55
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	3	6/2 5/4	0,963
2	3	4/off 4/3	0,936 (-0,027)
3	3	6/1	0,935 (-0,029)
4	3	5/off	0,887 (-0,077)
5	3	5/1 2/1	0,859 (-0,104)

Move 23 Green		Pip: 50
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,955

Move 23 White		Pip: 50
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
1	3	6/2 6/5	0,966
*2	3	4/off 2/1	0,964 (-0,003)
3	3	5/1 5/4	0,936 (-0,030)
4	2	4/off 1/off	0,720 (-0,246)
5	2	6/5 4/off	0,680 (-0,286)

Move 24 Green		Pip: 45
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	Can't move	-0,963

Move 24 White		Pip: 45
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	1	6/off 6/3	0,979
2	1	6/off 5/2	0,374 (-0,605)
3	1	6/off 4/1	0,317 (-0,662)
4	1	6/off 3/off	0,314 (-0,665)

Move 25 Green		Pip: 36
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 95

#	Ply	Move	Equity
*1	3	bar/19 8/5	-1,000
2	3	bar/16	-1,000 (-0,000)
3	3	bar/19 6/3	-1,000 (-0,000)

Move 25 White		Pip: 36
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 86

#	Ply	Move	Equity
*1	1	5/off(2)	1,000

Move 26 Green		Pip: 26
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 86

#	Ply	Move	Equity
1	3	8/5(4)	-1,000
2	3	8/5(2) 6/3(2)	-1,000 (-0,000)
*3	3	19/16 8/5(3)	-1,000 (-0,000)
4	3	8/5(3) 6/3	-1,000 (-0,000)
5	3	19/16 8/5 6/3(2)	-1,000 (-0,000)

Move 26 White		Pip: 26
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 74

#	Ply	Move	Equity
*1	3	3/off 1/off	1,000
2	3	4/off	1,000 (-0,000)
3	3	3/off 2/1	1,000 (-0,000)
4	3	3/off 3/2	1,000 (-0,000)
5	3	4/1 3/2	0,999 (-0,001)

Move 27 Green		Pip: 22
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 74

#	Ply	Move	Equity
*1	D	16/5	-1,000
2	3	16/10 8/3	-1,000 ( 0,000)
3	3	8/2 6/1	-1,000 (-0,000)
4	3	16/11 8/2	-1,000 (-0,000)
5	3	16/10 6/1	-1,000 (-0,000)

Move 27 White		Pip: 22
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 63

#	Ply	Move	Equity
*1	D	4/off 3/off	1,000
2	D	4/off 4/1	1,000 (-0,000)

Move 28 Green		Pip: 15
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 63

#	Ply	Move	Equity
1	D	8/7 6/1	-1,000
*2	D	8/3 1/off	-1,000 ( 0,000)
3	D	8/2	-1,000 (-0,000)
4	D	8/3 2/1	-1,000 (-0,000)
5	D	8/3 6/5	-1,000 (-0,000)

Move 28 White		Pip: 15
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 57

#	Ply	Move	Equity
*1	D	4/off 1/off	1,000
2	D	4/off 2/1	1,000 ( 0,000)
3	D	4/off 3/2	1,000 (-0,000)
4	D	4/off	1,000 (-0,000)

Move 29 Green		Pip: 10
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 57

#	Ply	Move	Equity
*1	1	6/off(3) 5/off	-1,000

Move 29 White		Pip: 10
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 34

#	Ply	Move	Equity
*1	D	3/off 1/off	1,000
2	D	3/off 2/1	1,000 ( 0,000)
3	D	3/off	0,998 (-0,002)

Move 30 Green		Pip: 6
		Game 15 19 point match Green-White: Score 10-18 (Cr.)
		Pip: 34

Groutsos wins 1 point.

Game 15 simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	world class
Overall	2,446	2,053
Checker play	2,446	2,053
Double	0,000	0,000
Take	0,000	0,000

Groutsos wins the 19-point match with the score 19-10.

Match simplified statistics (EMG Rated)
Player	Michihito	Groutsos
Rating	world class	expert
Overall	4,020	4,946
Checker play	3,174	4,283
Double	0,334	0,232
Take	0,512	0,431
Favorite
Michihito was 53,21% - 46,79% favorite.

Legend

Checker play

Example:

#	Ply	Move	Equity
* 4	2	13/9	0.091 (-0.024)
		0.6% 15.7% 53.1% 46.9% 12.8% 0.5%

The first line shows the following information:

* 4	rank of the given move (* before the rank indicates that it is the played move)
2	ply of the evaluation
13/9	move string
0.091	cubeful equity of the move
(-0.024)	difference of equity with best move

The second line (hidden if the Detail Mode has not been checked) displays the complete cubeless evaluation of the move:

0.6%	15.7%	53.1%		46.9%	12.8%	0.5%
BG	G	N		N	G	BG
Player's wins				Player's losses

If you check the Evaluation Parameters, you get additional information about how the evaluation was computed.

Cube actions

Example:

Cube action equity
3-Ply	Money equity:	0.469
	0.6% 19.4% 66.9% 33.1% 6.7% 0.2%
1.	No double	0.711
2.	Double, take	0.696	(-0.015)
3.	Double, pass	1.000	(+0.289)
Proper cube action: No double			5%

The first two lines display the cubeless evaluation of the position. The evaluation can be of type 1-Ply, 2-Ply, 3-Ply, Mini-Rollout, Rollout or Database. Below the cubeless money equity of the position, the detailed probabilities are also displayed. They are in the same order as the detailed line for the checker play.

The next section displays the cubeful equities of the possible cube actions. From the point of view of the player in action there are two possible actions: Double or No Double. If the player in action decides to double, then there are two options for his opponent: either take or pass the offered cube. Therefore, there are three possible actions which can be played: No double, Double, take or Double, pass. The first line corresponds to the correct action for both sides. The second line displays the line which corresponds to the wrong double/no double action but with the correct response of the opponent. Finally, the last line corresponds to the equity you would have if your opponent would do the wrong take/pass decision to an offered double.

In the example above the cubeful equity of not doubling is 0.711 pts/game. Now, if you offer a double and your opponent correctly takes the cube you will only earn 0.696 pts/game on average and finally if you double and your opponent passes you will earn 1 pt. Of course your best equity is the 1 pt you would win if you double and your opponent passes but since you have no control on what your opponent will do, the best action here is not to double so that you secure an equity of 0.711 which is better than the equity of 0.696 you have if you double.

As we have seen, the best equity you can earn here is the 1 pt if your opponent passes. Suppose you have the suspicion that your opponent might pass but you are not sure. Is Snowie able to tell whether you should whip it anyway to profit from his occasional incorrect passes? Yes, Snowie is able to tell you that. Snowie gives you a borderline frequency at which your opponent is supposed to pass to make the theoretically incorrect double practically correct. In our example Snowie says that this frequency is 5%. Therefore, the double becomes correct if you think there is a 5% chance that your opponent passes the cube !

This file has been generated bySnowie Professional Edition Version 4.7.1, a product of SnowieGroup SA
Output date: 8:54:48 ��, 24/12/2009(Export v2.10)