
41: 24/23 13/9 

1.  Book^{1}  24/23 13/9  eq: 0.250 
 Player: Opponent:  49.43% (G:14.77% B:1.23%) 50.57% (G:13.69% B:0.55%)  Conf.: ± 0.008 (0.257...0.242)  [100.0%] 

2.  Book^{1}  24/23 24/20  eq: 0.272 (0.022) 
 Player: Opponent:  48.87% (G:13.65% B:1.37%) 51.13% (G:13.84% B:0.53%)  Conf.: ± 0.008 (0.280...0.264)  [0.0%] 

3.  Book^{2}  13/9 6/5  eq: 0.279 (0.029) 
 Player: Opponent:  49.33% (G:14.21% B:1.37%) 50.67% (G:14.32% B:0.82%)  Conf.: ± 0.007 (0.286...0.271)  [0.0%] 

4.  Book^{3}  13/8  eq: 0.300 (0.050) 
 Player: Opponent:  48.59% (G:14.62% B:1.63%) 51.41% (G:15.18% B:0.60%)  Conf.: ± 0.010 (0.310...0.290)  [0.0%] 

5.  Book^{4}  24/20 6/5  eq: 0.308 (0.058) 
 Player: Opponent:  48.66% (G:12.42% B:0.54%) 51.34% (G:14.35% B:0.63%)  


^{1} Generated by Miran Tuhtan on 26Jan13 using eXtreme Gammon 2.10 3888 Games rolled with Variance Reduction. Dice Seed: 1 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by David Rockwell on 30May13 using eXtreme Gammon 2.10 5184 Games rolled with Variance Reduction. Dice Seed: 1282080 Moves and cube decisions: 3ply
^{3} Generated by Miran Tuhtan on 26Jan13 using eXtreme Gammon 2.10 2592 Games rolled with Variance Reduction. Dice Seed: 1 Moves: 3ply, cube decisions: XG Roller
^{4} Generated by GameSite 2000, Ltd on 21May11 using eXtreme Gammon 2.00 Analyzed in XG Roller++




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
50.25% (G:13.57% B:0.56%) 
50.28% (G:13.31% B:0.54%) 
Opponent Winning Chances: 
49.75% (G:14.19% B:0.62%) 
49.72% (G:14.08% B:0.61%) 
Cubeless Equities 
0.017 
+0.133 
Cubeful Equities 
No double:  +0.249  
Double/Take:  +0.120 (0.129)  
Double/Pass:  +1.000 (+0.751) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.7% 



33: 24/21(2) 13/10(2) 

1.  XG Roller++  24/21(2) 13/10(2)  eq: +0.441 
 Player: Opponent:  55.41% (G:13.94% B:0.44%) 44.59% (G:8.62% B:0.28%)  

2.  XG Roller++  24/21(2) 6/3(2)  eq: +0.424 (0.017) 
 Player: Opponent:  54.83% (G:13.90% B:0.47%) 45.17% (G:8.76% B:0.29%)  

3.  XG Roller++  13/10(2) 6/3(2)  eq: +0.386 (0.055) 
 Player: Opponent:  53.14% (G:15.61% B:0.66%) 46.86% (G:12.80% B:0.59%)  

4.  XG Roller++  8/5(2) 6/3(2)  eq: +0.380 (0.061) 
 Player: Opponent:  51.92% (G:17.19% B:0.71%) 48.08% (G:12.61% B:0.68%)  

5.  XG Roller++  24/21(2) 8/5(2)  eq: +0.311 (0.130) 
 Player: Opponent:  51.26% (G:14.38% B:0.46%) 48.74% (G:10.03% B:0.35%)  




61: 13/7 8/7 

1.  XG Roller++  13/7 8/7  eq: 0.571 
 Player: Opponent:  41.74% (G:8.78% B:0.30%) 58.26% (G:15.66% B:0.65%)  

2.  XG Roller++  24/18 9/8  eq: 0.605 (0.034) 
 Player: Opponent:  41.41% (G:7.62% B:0.26%) 58.59% (G:17.24% B:0.55%)  

3.  XG Roller++  23/22 9/3  eq: 0.614 (0.043) 
 Player: Opponent:  40.83% (G:8.53% B:0.27%) 59.17% (G:16.98% B:0.62%)  

4.  XG Roller++  9/3 6/5  eq: 0.627 (0.056) 
 Player: Opponent:  41.56% (G:9.27% B:0.36%) 58.44% (G:18.66% B:0.88%)  

5.  XG Roller++  13/7 9/8  eq: 0.650 (0.079) 
 Player: Opponent:  39.93% (G:8.75% B:0.29%) 60.07% (G:16.79% B:0.70%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.39% (G:15.54% B:0.63%) 
58.50% (G:15.71% B:0.65%) 
Opponent Winning Chances: 
41.61% (G:8.82% B:0.32%) 
41.50% (G:8.85% B:0.32%) 
Cubeless Equities 
+0.222 
+0.579 
Cubeful Equities 
No double:  +0.574  
Double/Take:  +0.552 (0.021)  
Double/Pass:  +1.000 (+0.426) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.6% 



64: 8/2* 6/2 

1.  XG Roller++  8/2* 6/2  eq: +0.594 
 Player: Opponent:  57.29% (G:18.50% B:0.68%) 42.71% (G:8.80% B:0.32%)  

2.  XG Roller++  10/4 8/4  eq: +0.468 (0.126) 
 Player: Opponent:  55.04% (G:16.08% B:0.52%) 44.96% (G:9.32% B:0.35%)  

3.  3ply  21/11  eq: +0.243 (0.351) 
 Player: Opponent:  51.99% (G:11.68% B:0.56%) 48.01% (G:14.52% B:0.41%)  

4.  3ply  21/15 6/2*  eq: +0.201 (0.392) 
 Player: Opponent:  50.52% (G:11.89% B:0.60%) 49.48% (G:15.20% B:0.66%)  

5.  3ply  13/9 8/2*  eq: +0.196 (0.398) 
 Player: Opponent:  48.55% (G:13.90% B:0.65%) 51.45% (G:12.53% B:0.53%)  




32: Bar/22 24/22 

1.  XG Roller++  Bar/22 24/22  eq: 0.426 
 Player: Opponent:  44.13% (G:9.14% B:0.34%) 55.87% (G:12.57% B:0.41%)  

2.  XG Roller++  Bar/22 9/7  eq: 0.539 (0.113) 
 Player: Opponent:  43.42% (G:9.02% B:0.34%) 56.58% (G:18.47% B:0.52%)  

3.  3ply  Bar/20  eq: 0.744 (0.318) 
 Player: Opponent:  40.86% (G:8.63% B:0.31%) 59.14% (G:22.04% B:0.97%)  

4.  3ply  Bar/22 13/11  eq: 0.761 (0.335) 
 Player: Opponent:  40.49% (G:8.89% B:0.32%) 59.51% (G:21.65% B:1.37%)  

5.  3ply  Bar/22 8/6  eq: 1.000 (0.574) 
 Player: Opponent:  34.76% (G:7.68% B:0.27%) 65.24% (G:26.27% B:1.87%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
55.66% (G:12.43% B:0.40%) 
55.85% (G:12.17% B:0.39%) 
Opponent Winning Chances: 
44.34% (G:9.29% B:0.34%) 
44.15% (G:9.39% B:0.34%) 
Cubeless Equities 
+0.132 
+0.373 
Cubeful Equities 
No double:  +0.420  
Double/Take:  +0.346 (0.074)  
Double/Pass:  +1.000 (+0.580) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.1% 



41: 21/16* 

1.  4ply  21/16*  eq: +0.542 
 Player: Opponent:  58.42% (G:14.60% B:0.52%) 41.58% (G:9.75% B:0.35%)  

2.  4ply  13/9 10/9  eq: +0.330 (0.212) 
 Player: Opponent:  53.38% (G:12.35% B:0.44%) 46.62% (G:9.35% B:0.33%)  

3.  4ply  13/8  eq: +0.247 (0.294) 
 Player: Opponent:  51.73% (G:10.35% B:0.31%) 48.27% (G:8.70% B:0.27%)  

4.  3ply  6/1  eq: +0.168 (0.373) 
 Player: Opponent:  49.30% (G:10.85% B:0.28%) 50.70% (G:10.16% B:0.44%)  

5.  3ply  13/9 6/5  eq: +0.128 (0.414) 
 Player: Opponent:  47.20% (G:12.38% B:0.48%) 52.80% (G:11.88% B:0.48%)  




44: Bar/21 13/9* 8/4*(2) 

1.  4ply  Bar/21 13/9* 8/4*(2)  eq: 0.002 
 Player: Opponent:  55.11% (G:21.99% B:0.75%) 44.89% (G:11.85% B:0.50%)  

2.  4ply  Bar/21 13/9*(3)  eq: 0.217 (0.215) 
 Player: Opponent:  49.21% (G:12.58% B:0.52%) 50.79% (G:11.64% B:0.39%)  

3.  4ply  Bar/21 22/18 8/4*(2)  eq: 0.296 (0.294) 
 Player: Opponent:  47.12% (G:13.22% B:0.47%) 52.88% (G:13.80% B:0.57%)  

4.  3ply  Bar/21 13/9*(2) 8/4*  eq: 0.339 (0.336) 
 Player: Opponent:  48.07% (G:15.66% B:0.67%) 51.93% (G:17.39% B:0.96%)  

5.  3ply  Bar/21 13/9* 6/2(2)  eq: 0.347 (0.344) 
 Player: Opponent:  47.16% (G:14.78% B:0.60%) 52.84% (G:15.07% B:0.68%)  




41: Bar/24 

1.  3ply  Bar/24  eq: 0.094 
 Player: Opponent:  42.49% (G:10.81% B:0.45%) 57.51% (G:23.52% B:0.82%)  




62: 13/11 13/7 

1.  XG Roller++  22/16 9/7  eq: 0.077 
 Player: Opponent:  54.30% (G:18.19% B:1.09%) 45.70% (G:13.76% B:0.65%)  

2.  XG Roller++  13/11 13/7  eq: 0.102 (0.025) 
 Player: Opponent:  52.62% (G:20.41% B:0.96%) 47.38% (G:12.45% B:0.54%)  

3.  XG Roller++  22/16 6/4  eq: 0.149 (0.072) 
 Player: Opponent:  52.62% (G:18.59% B:1.22%) 47.38% (G:15.92% B:1.06%)  

4.  XG Roller++  9/1*  eq: 0.153 (0.077) 
 Player: Opponent:  51.33% (G:20.66% B:0.51%) 48.67% (G:13.24% B:0.55%)  

5.  XG Roller++  22/14  eq: 0.161 (0.084) 
 Player: Opponent:  52.47% (G:18.89% B:1.09%) 47.53% (G:16.01% B:1.07%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
46.88% (G:12.50% B:0.55%) 
47.15% (G:12.38% B:0.54%) 
Opponent Winning Chances: 
53.12% (G:20.64% B:0.97%) 
52.85% (G:20.91% B:1.05%) 
Cubeless Equities 
0.164 
0.094 
Cubeful Equities 
No double:  +0.084  
Double/Take:  0.089 (0.172)  
Double/Pass:  +1.000 (+0.916) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.7% 



62: Bar/23 10/4* 

1.  XG Roller++  Bar/17  eq: +0.056 
 Player: Opponent:  47.01% (G:10.55% B:0.44%) 52.99% (G:20.64% B:0.75%)  

2.  XG Roller++  Bar/23 10/4*  eq: 0.059 (0.115) 
 Player: Opponent:  42.95% (G:11.93% B:0.57%) 57.05% (G:23.91% B:2.10%)  

3.  4ply  Bar/23 13/7  eq: 0.215 (0.272) 
 Player: Opponent:  39.05% (G:10.55% B:0.49%) 60.95% (G:26.56% B:1.75%)  

4.  3ply  Bar/23 8/2  eq: 0.397 (0.454) 
 Player: Opponent:  34.29% (G:8.76% B:0.36%) 65.71% (G:28.11% B:1.77%)  




55: Bar/20 7/2* 6/1*(2) 

1.  XG Roller++  Bar/15* 7/2*(2)  eq: +0.824 
 Player: Opponent:  72.98% (G:47.52% B:5.77%) 27.02% (G:5.96% B:0.31%)  

2.  XG Roller++  Bar/15* 6/1*(2)  eq: +0.812 (0.012) 
 Player: Opponent:  72.87% (G:47.65% B:4.04%) 27.13% (G:6.08% B:0.30%)  

3.  XG Roller++  Bar/20 7/2* 6/1*(2)  eq: +0.802 (0.022) 
 Player: Opponent:  72.14% (G:52.21% B:5.01%) 27.86% (G:7.92% B:0.46%)  

4.  XG Roller++  Bar/20 7/2*(2) 6/1*  eq: +0.775 (0.049) 
 Player: Opponent:  71.81% (G:51.68% B:5.41%) 28.19% (G:9.17% B:0.69%)  

5.  4ply  Bar/15* 15/10 7/2*  eq: +0.489 (0.336) 
 Player: Opponent:  66.72% (G:35.72% B:3.94%) 33.28% (G:8.68% B:0.42%)  




66: Cannot Move 

1.  3ply  Cannot Move  eq: 1.353 
 Player: Opponent:  15.43% (G:3.41% B:0.17%) 84.57% (G:70.87% B:6.67%)  




62: 11/5 7/5 

1.  4ply  11/5 7/5  eq: +1.211 
 Player: Opponent:  81.27% (G:65.69% B:6.64%) 18.73% (G:4.56% B:0.22%)  

2.  4ply  22/20 22/16  eq: +0.883 (0.328) 
 Player: Opponent:  75.01% (G:52.50% B:3.34%) 24.99% (G:5.90% B:0.30%)  

3.  3ply  22/16 11/9  eq: +0.812 (0.399) 
 Player: Opponent:  73.68% (G:52.53% B:4.25%) 26.32% (G:7.27% B:0.49%)  

4.  3ply  22/14  eq: +0.791 (0.420) 
 Player: Opponent:  73.33% (G:53.91% B:4.47%) 26.67% (G:8.76% B:1.09%)  

5.  3ply  20/14 11/9  eq: +0.791 (0.420) 
 Player: Opponent:  73.15% (G:52.17% B:4.05%) 26.85% (G:7.03% B:0.36%)  




22: Bar/23*(2) 10/8 6/4 

1.  XG Roller++  Bar/23*(2) 10/8 6/4  eq: +0.594 
 Player: Opponent:  58.86% (G:19.97% B:1.12%) 41.14% (G:13.38% B:0.46%)  

2.  XG Roller++  Bar/23*(2) 13/11 6/4  eq: +0.510 (0.084) 
 Player: Opponent:  56.97% (G:22.32% B:1.40%) 43.03% (G:16.03% B:0.77%)  

3.  XG Roller++  Bar/23*(2) 6/4(2)  eq: +0.503 (0.091) 
 Player: Opponent:  55.54% (G:19.61% B:1.13%) 44.46% (G:15.51% B:0.59%)  

4.  4ply  Bar/23*(2) 8/4  eq: +0.343 (0.251) 
 Player: Opponent:  51.79% (G:19.87% B:1.25%) 48.21% (G:18.69% B:1.01%)  

5.  3ply  Bar/23*(2) 10/8 4/2  eq: +0.051 (0.544) 
 Player: Opponent:  45.43% (G:12.39% B:0.49%) 54.57% (G:18.57% B:0.52%)  




51: Bar/20 7/6 

1.  4ply  Bar/20 7/6  eq: 0.241 
 Player: Opponent:  48.06% (G:15.20% B:0.26%) 51.94% (G:11.42% B:0.35%)  

2.  4ply  Bar/20 6/5  eq: 0.433 (0.192) 
 Player: Opponent:  44.19% (G:13.46% B:0.24%) 55.81% (G:14.17% B:0.47%)  

3.  4ply  Bar/20 9/8  eq: 0.550 (0.309) 
 Player: Opponent:  41.85% (G:11.80% B:0.23%) 58.15% (G:15.72% B:0.52%)  

4.  2ply  Bar/24 20/15  eq: 0.868 (0.627) 
 Player: Opponent:  39.27% (G:12.93% B:0.42%) 60.73% (G:24.53% B:1.66%)  

5.  2ply  Bar/24 9/4  eq: 0.892 (0.651) 
 Player: Opponent:  37.35% (G:12.34% B:0.43%) 62.65% (G:22.68% B:1.27%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
52.07% (G:10.97% B:0.36%) 
52.19% (G:11.04% B:0.36%) 
Opponent Winning Chances: 
47.93% (G:16.36% B:0.33%) 
47.81% (G:16.82% B:0.35%) 
Cubeless Equities 
0.025 
+0.113 
Cubeful Equities 
No double:  +0.235  
Double/Take:  +0.107 (0.128)  
Double/Pass:  +1.000 (+0.765) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.5% 



41: 13/8 

1.  XG Roller++  13/8  eq: +0.132 
 Player: Opponent:  49.02% (G:10.62% B:0.33%) 50.98% (G:16.96% B:0.49%)  

2.  XG Roller++  23/18  eq: +0.026 (0.107) 
 Player: Opponent:  47.03% (G:10.41% B:0.40%) 52.97% (G:25.90% B:0.39%)  

3.  XG Roller++  13/12 8/4  eq: +0.021 (0.111) 
 Player: Opponent:  45.44% (G:10.52% B:0.35%) 54.56% (G:17.80% B:0.69%)  

4.  XG Roller++  6/1  eq: +0.008 (0.125) 
 Player: Opponent:  45.21% (G:10.44% B:0.26%) 54.79% (G:18.59% B:0.63%)  

5.  4ply  8/4 2/1  eq: 0.025 (0.157) 
 Player: Opponent:  44.16% (G:9.91% B:0.26%) 55.84% (G:16.78% B:0.66%)  




64: 22/16 9/5 

1.  XG Roller++  22/16 9/5  eq: 0.150 
 Player: Opponent:  50.51% (G:17.04% B:0.51%) 49.49% (G:10.58% B:0.34%)  

2.  XG Roller++  20/16 20/14  eq: 0.258 (0.108) 
 Player: Opponent:  48.80% (G:15.07% B:0.50%) 51.20% (G:14.53% B:0.65%)  

3.  XG Roller++  22/16 20/16  eq: 0.303 (0.153) 
 Player: Opponent:  48.66% (G:16.99% B:0.58%) 51.34% (G:18.52% B:0.82%)  

4.  4ply  20/10  eq: 0.314 (0.164) 
 Player: Opponent:  46.73% (G:14.95% B:0.37%) 53.27% (G:13.58% B:0.57%)  

5.  4ply  22/18 22/16  eq: 0.316 (0.165) 
 Player: Opponent:  47.77% (G:13.19% B:0.38%) 52.23% (G:14.52% B:0.62%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
49.52% (G:10.49% B:0.34%) 
49.56% (G:10.55% B:0.34%) 
Opponent Winning Chances: 
50.48% (G:17.17% B:0.54%) 
50.44% (G:17.18% B:0.57%) 
Cubeless Equities 
0.091 
0.006 
Cubeful Equities 
No double:  +0.136  
Double/Take:  0.015 (0.151)  
Double/Pass:  +1.000 (+0.864) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.0% 



55: 23/18(2) 8/3*(2) 

1.  XG Roller++  23/18(2) 8/3*(2)  eq: +0.894 
 Player: Opponent:  72.54% (G:14.53% B:0.34%) 27.46% (G:4.87% B:0.16%)  

2.  XG Roller++  23/13 8/3*(2)  eq: +0.748 (0.146) 
 Player: Opponent:  67.40% (G:14.70% B:0.40%) 32.60% (G:6.89% B:0.13%)  

3.  4ply  23/18 13/3* 8/3  eq: +0.605 (0.289) 
 Player: Opponent:  62.74% (G:15.68% B:0.47%) 37.26% (G:11.65% B:0.50%)  

4.  4ply  23/18 8/3*(3)  eq: +0.597 (0.297) 
 Player: Opponent:  61.21% (G:18.36% B:0.62%) 38.79% (G:14.65% B:0.72%)  

5.  4ply  23/13(2)  eq: +0.578 (0.316) 
 Player: Opponent:  65.13% (G:3.98% B:0.07%) 34.87% (G:2.37% B:0.05%)  




43: Cannot Move 

1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  21.47% (G:3.46% B:0.15%) 78.53% (G:18.99% B:0.46%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
77.99% (G:21.20% B:0.44%) 
78.70% (G:20.64% B:0.46%) 
Opponent Winning Chances: 
22.01% (G:3.05% B:0.08%) 
21.30% (G:2.95% B:0.05%) 
Cubeless Equities 
+0.723 
+1.553 
Cubeful Equities 
No double:  +1.023  
Double/Take:  +1.527 (+0.503)  
Double/Pass:  +1.000 (0.023) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 4.5% 



64: 13/7 13/9* 

1.  XG Roller++  13/7 13/9*  eq: +1.076 
 Player: Opponent:  81.25% (G:25.00% B:0.56%) 18.75% (G:2.45% B:0.11%)  

2.  XG Roller++  18/12 13/9*  eq: +1.071 (0.005) 
 Player: Opponent:  82.67% (G:22.61% B:0.46%) 17.33% (G:1.78% B:0.06%)  

3.  XG Roller++  13/9* 9/3  eq: +1.065 (0.012) 
 Player: Opponent:  80.18% (G:24.18% B:0.50%) 19.82% (G:2.55% B:0.11%)  

4.  XG Roller++  13/9* 8/2  eq: +1.053 (0.023) 
 Player: Opponent:  77.78% (G:25.70% B:0.55%) 22.22% (G:3.56% B:0.17%)  

5.  XG Roller++  18/8  eq: +1.016 (0.060) 
 Player: Opponent:  77.90% (G:16.63% B:0.31%) 22.10% (G:2.43% B:0.08%)  




22: Cannot Move 

1.  3ply  Cannot Move  eq: 1.124 
 Player: Opponent:  13.85% (G:1.48% B:0.11%) 86.15% (G:29.13% B:0.58%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
85.17% (G:32.54% B:0.61%) 
85.95% (G:31.76% B:0.61%) 
Opponent Winning Chances: 
14.83% (G:1.34% B:0.04%) 
14.05% (G:1.33% B:0.03%) 
Cubeless Equities 
+0.988 
+2.135 
Cubeful Equities 
No double:  +1.170  
Double/Take:  +2.112 (+0.943)  
Double/Pass:  +1.000 (0.170) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 15.2% 



31: 8/4 

1.  XG Roller++  9/6 8/7  eq: +1.132 
 Player: Opponent:  83.74% (G:30.07% B:0.56%) 16.26% (G:1.84% B:0.08%)  

2.  XG Roller++  8/7 6/3  eq: +1.104 (0.028) 
 Player: Opponent:  81.91% (G:29.31% B:0.60%) 18.09% (G:2.40% B:0.12%)  

3.  XG Roller++  18/14  eq: +1.102 (0.030) 
 Player: Opponent:  83.50% (G:26.39% B:0.50%) 16.50% (G:1.70% B:0.06%)  

4.  XG Roller++  18/17 9/6  eq: +1.100 (0.031) 
 Player: Opponent:  82.42% (G:27.72% B:0.51%) 17.58% (G:2.13% B:0.09%)  

5.  XG Roller++  8/4  eq: +1.100 (0.032) 
 Player: Opponent:  80.87% (G:30.13% B:0.57%) 19.13% (G:3.06% B:0.14%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 1.189 
 Player: Opponent:  13.21% (G:1.52% B:0.13%) 86.79% (G:36.41% B:0.71%)  




65: 7/1 6/1 

1.  XG Roller++  7/1 6/1  eq: +1.303 
 Player: Opponent:  88.29% (G:46.91% B:0.48%) 11.71% (G:1.18% B:0.05%)  

2.  XG Roller++  18/7  eq: +1.232 (0.071) 
 Player: Opponent:  87.24% (G:38.29% B:0.51%) 12.76% (G:1.16% B:0.05%)  

3.  XG Roller++  18/13 9/3  eq: +1.225 (0.078) 
 Player: Opponent:  85.94% (G:39.77% B:0.56%) 14.06% (G:1.45% B:0.06%)  

4.  XG Roller++  18/13 8/2  eq: +1.223 (0.080) 
 Player: Opponent:  85.49% (G:39.94% B:0.53%) 14.51% (G:1.48% B:0.06%)  

5.  XG Roller++  18/12 8/3  eq: +1.221 (0.082) 
 Player: Opponent:  85.68% (G:39.31% B:0.58%) 14.32% (G:1.41% B:0.06%)  




11: Cannot Move 

1.  3ply  Cannot Move  eq: 1.381 
 Player: Opponent:  8.52% (G:0.74% B:0.06%) 91.48% (G:52.16% B:0.76%)  




43: 18/11 

1.  XG Roller++  18/14 9/6  eq: +1.397 
 Player: Opponent:  91.26% (G:53.67% B:0.54%) 8.74% (G:0.51% B:0.02%)  

2.  XG Roller++  9/6 8/4  eq: +1.387 (0.010) 
 Player: Opponent:  90.51% (G:54.22% B:0.54%) 9.49% (G:0.67% B:0.03%)  

3.  XG Roller++  18/11  eq: +1.379 (0.018) 
 Player: Opponent:  90.76% (G:52.84% B:0.52%) 9.24% (G:0.62% B:0.02%)  

4.  XG Roller++  9/2  eq: +1.354 (0.042) 
 Player: Opponent:  88.82% (G:52.92% B:0.51%) 11.18% (G:1.02% B:0.04%)  

5.  XG Roller++  18/14 4/1  eq: +1.353 (0.044) 
 Player: Opponent:  89.21% (G:51.54% B:0.48%) 10.79% (G:0.84% B:0.03%)  




32: Cannot Move 

1.  3ply  Cannot Move  eq: 1.473 
 Player: Opponent:  6.56% (G:0.47% B:0.04%) 93.44% (G:60.01% B:0.83%)  




62: 18/12 8/6 

1.  XG Roller++  18/12 8/6  eq: +1.479 
 Player: Opponent:  93.63% (G:60.61% B:0.70%) 6.37% (G:0.23% B:0.01%)  

2.  XG Roller++  18/12 9/7  eq: +1.474 (0.005) 
 Player: Opponent:  93.69% (G:60.08% B:0.68%) 6.31% (G:0.18% B:0.00%)  

3.  XG Roller++  9/3 8/6  eq: +1.470 (0.009) 
 Player: Opponent:  92.53% (G:60.87% B:0.69%) 7.47% (G:0.29% B:0.01%)  

4.  XG Roller++  18/12 11/9  eq: +1.465 (0.014) 
 Player: Opponent:  93.22% (G:59.63% B:0.65%) 6.78% (G:0.26% B:0.01%)  

5.  XG Roller++  11/3  eq: +1.464 (0.016) 
 Player: Opponent:  92.34% (G:60.38% B:0.65%) 7.66% (G:0.29% B:0.01%)  




44: Cannot Move 

1.  3ply  Cannot Move  eq: 1.574 
 Player: Opponent:  4.60% (G:0.18% B:0.02%) 95.40% (G:68.71% B:0.94%)  




51: 11/6 9/8 

1.  XG Roller++  11/6 9/8  eq: +1.555 
 Player: Opponent:  95.25% (G:66.97% B:0.97%) 4.75% (G:0.05% B:0.00%)  

2.  XG Roller++  11/6 4/3  eq: +1.544 (0.010) 
 Player: Opponent:  94.86% (G:66.28% B:0.92%) 5.14% (G:0.07% B:0.00%)  

3.  XG Roller++  9/3  eq: +1.542 (0.013) 
 Player: Opponent:  94.61% (G:66.22% B:0.89%) 5.39% (G:0.12% B:0.00%)  

4.  XG Roller++  12/6  eq: +1.540 (0.014) 
 Player: Opponent:  94.90% (G:65.89% B:0.88%) 5.10% (G:0.08% B:0.00%)  

5.  XG Roller++  12/7 9/8  eq: +1.534 (0.021) 
 Player: Opponent:  94.81% (G:65.54% B:0.84%) 5.19% (G:0.11% B:0.00%)  




61: Cannot Move 

1.  3ply  Cannot Move  eq: 1.643 
 Player: Opponent:  3.79% (G:0.09% B:0.01%) 96.21% (G:75.20% B:1.13%)  




51: 12/6 

1.  XG Roller++  12/6  eq: +1.614 
 Player: Opponent:  95.98% (G:72.57% B:1.28%) 4.02% (G:0.01% B:0.00%)  

2.  XG Roller++  12/7 4/3  eq: +1.603 (0.011) 
 Player: Opponent:  95.90% (G:71.73% B:1.11%) 4.10% (G:0.01% B:0.00%)  

3.  XG Roller++  12/11 8/3  eq: +1.603 (0.011) 
 Player: Opponent:  95.74% (G:71.87% B:1.15%) 4.26% (G:0.03% B:0.00%)  

4.  XG Roller++  12/7 8/7  eq: +1.599 (0.015) 
 Player: Opponent:  95.78% (G:71.57% B:1.14%) 4.22% (G:0.02% B:0.00%)  

5.  XG Roller++  8/2  eq: +1.599 (0.015) 
 Player: Opponent:  95.45% (G:71.91% B:1.20%) 4.55% (G:0.04% B:0.00%)  




43: Cannot Move 

1.  3ply  Cannot Move  eq: 1.687 
 Player: Opponent:  3.84% (G:0.06% B:0.00%) 96.16% (G:79.93% B:1.38%)  




61: 8/2 4/3 

1.  XG Roller++  8/1  eq: +1.640 
 Player: Opponent:  95.06% (G:76.68% B:1.67%) 4.94% (G:0.03% B:0.00%)  

2.  XG Roller++  8/2 4/3  eq: +1.624 (0.016) 
 Player: Opponent:  94.64% (G:75.99% B:1.49%) 5.36% (G:0.04% B:0.00%)  

3.  4ply  8/2 1/Off  eq: +1.371 (0.269) 
 Player: Opponent:  84.37% (G:59.51% B:1.35%) 15.63% (G:0.00% B:0.00%)  

4.  3ply  8/2 3/2  eq: +1.262 (0.378) 
 Player: Opponent:  80.10% (G:53.06% B:0.78%) 19.90% (G:1.55% B:0.03%)  




52: Bar/20 

1.  3ply  Bar/20  eq: 1.560 
 Player: Opponent:  5.67% (G:0.06% B:0.00%) 94.33% (G:70.02% B:0.39%)  




31: 6/2 

1.  XG Roller++  6/3 2/1  eq: +1.534 
 Player: Opponent:  96.79% (G:64.81% B:0.28%) 3.21% (G:0.00% B:0.00%)  

2.  XG Roller++  6/2  eq: +1.530 (0.004) 
 Player: Opponent:  96.55% (G:64.82% B:0.26%) 3.45% (G:0.00% B:0.00%)  

3.  XG Roller++  3/Off 2/1  eq: +1.505 (0.029) 
 Player: Opponent:  94.75% (G:64.75% B:0.41%) 5.25% (G:0.00% B:0.00%)  

4.  4ply  4/3 4/1  eq: +1.339 (0.195) 
 Player: Opponent:  91.82% (G:49.16% B:0.13%) 8.18% (G:0.07% B:0.00%)  

5.  3ply  6/3 1/Off  eq: +1.223 (0.312) 
 Player: Opponent:  82.84% (G:49.92% B:0.38%) 17.16% (G:0.00% B:0.00%)  




51: Bar/20 6/5 

1.  XG Roller++  Bar/20 5/4  eq: 1.445 
 Player: Opponent:  2.81% (G:0.00% B:0.00%) 97.19% (G:54.48% B:0.05%)  

2.  XG Roller++  Bar/20 6/5  eq: 1.446 (0.001) 
 Player: Opponent:  2.80% (G:0.00% B:0.00%) 97.20% (G:54.51% B:0.05%)  

3.  XG Roller++  Bar/20 4/3  eq: 1.446 (0.001) 
 Player: Opponent:  2.67% (G:0.00% B:0.00%) 97.33% (G:53.65% B:0.07%)  




53: 6/1 3/Off 

1.  XG Roller++  6/1 3/Off  eq: +1.380 
 Player: Opponent:  96.57% (G:48.85% B:0.04%) 3.43% (G:0.00% B:0.00%)  

2.  XG Roller++  6/3 6/1  eq: +1.344 (0.035) 
 Player: Opponent:  97.03% (G:44.52% B:0.01%) 2.97% (G:0.00% B:0.00%)  

3.  XG Roller++  6/1 4/1  eq: +1.298 (0.081) 
 Player: Opponent:  96.29% (G:40.71% B:0.02%) 3.71% (G:0.00% B:0.00%)  




42: 20/18 20/16 

1.  XG Roller++  20/18 20/16  eq: 1.429 
 Player: Opponent:  3.54% (G:0.00% B:0.00%) 96.46% (G:54.86% B:0.04%)  

2.  XG Roller++  20/14  eq: 1.432 (0.003) 
 Player: Opponent:  3.46% (G:0.00% B:0.00%) 96.54% (G:55.01% B:0.04%)  

3.  XG Roller++  20/16 5/3  eq: 1.456 (0.027) 
 Player: Opponent:  3.89% (G:0.00% B:0.00%) 96.11% (G:58.97% B:0.05%)  

4.  XG Roller++  20/16 6/4  eq: 1.478 (0.049) 
 Player: Opponent:  3.41% (G:0.00% B:0.00%) 96.59% (G:59.98% B:0.04%)  

5.  XG Roller++  20/16 4/2  eq: 1.493 (0.064) 
 Player: Opponent:  3.02% (G:0.00% B:0.00%) 96.98% (G:59.50% B:0.08%)  




31: 3/Off 1/Off 

1.  XG Roller++  3/Off 1/Off  eq: +1.391 
 Player: Opponent:  96.88% (G:49.47% B:0.09%) 3.12% (G:0.00% B:0.00%)  

2.  XG Roller++  6/3 1/Off  eq: +1.362 (0.028) 
 Player: Opponent:  97.17% (G:45.81% B:0.03%) 2.83% (G:0.00% B:0.00%)  

3.  XG Roller++  3/Off 2/1  eq: +1.315 (0.076) 
 Player: Opponent:  96.63% (G:41.76% B:0.05%) 3.37% (G:0.00% B:0.00%)  

4.  XG Roller++  4/Off  eq: +1.314 (0.076) 
 Player: Opponent:  96.39% (G:42.09% B:0.05%) 3.61% (G:0.00% B:0.00%)  

5.  XG Roller++  6/3 2/1  eq: +1.296 (0.094) 
 Player: Opponent:  97.35% (G:38.26% B:0.01%) 2.65% (G:0.00% B:0.00%)  




22: 18/12 16/14 

1.  XG Roller++  18/12 16/14  eq: 1.396 
 Player: Opponent:  3.24% (G:0.00% B:0.00%) 96.76% (G:50.26% B:0.08%)  

2.  XG Roller++  18/10  eq: 1.400 (0.004) 
 Player: Opponent:  3.26% (G:0.00% B:0.00%) 96.74% (G:50.60% B:0.09%)  

3.  XG Roller++  16/8  eq: 1.401 (0.005) 
 Player: Opponent:  3.31% (G:0.00% B:0.00%) 96.69% (G:50.89% B:0.09%)  

4.  XG Roller++  20/12  eq: 1.408 (0.011) 
 Player: Opponent:  3.32% (G:0.00% B:0.00%) 96.68% (G:51.64% B:0.06%)  

5.  XG Roller++  20/18 16/10  eq: 1.408 (0.012) 
 Player: Opponent:  3.38% (G:0.00% B:0.00%) 96.62% (G:51.73% B:0.06%)  




42: 4/Off 2/Off 

1.  XG Roller++  4/Off 2/Off  eq: +1.383 
 Player: Opponent:  97.31% (G:47.23% B:0.09%) 2.69% (G:0.00% B:0.00%)  

2.  XG Roller++  6/Off  eq: +1.336 (0.048) 
 Player: Opponent:  97.29% (G:42.56% B:0.03%) 2.71% (G:0.00% B:0.00%)  

3.  XG Roller++  4/Off 3/1  eq: +1.275 (0.109) 
 Player: Opponent:  96.79% (G:36.48% B:0.04%) 3.21% (G:0.00% B:0.00%)  

4.  XG Roller++  6/2 4/2  eq: +1.247 (0.137) 
 Player: Opponent:  97.13% (G:33.33% B:0.02%) 2.87% (G:0.00% B:0.00%)  

5.  XG Roller++  6/2 3/1  eq: +1.247 (0.137) 
 Player: Opponent:  97.36% (G:32.62% B:0.02%) 2.64% (G:0.00% B:0.00%)  




64: 20/16 12/6 

1.  XG Roller++  20/16 12/6  eq: 1.326 
 Player: Opponent:  2.88% (G:0.00% B:0.00%) 97.12% (G:40.92% B:0.08%)  

2.  XG Roller++  20/10  eq: 1.327 (0.001) 
 Player: Opponent:  2.95% (G:0.00% B:0.00%) 97.05% (G:41.23% B:0.08%)  

3.  XG Roller++  14/10 12/6  eq: 1.329 (0.003) 
 Player: Opponent:  2.73% (G:0.00% B:0.00%) 97.27% (G:40.80% B:0.08%)  

4.  XG Roller++  20/16 14/8  eq: 1.332 (0.006) 
 Player: Opponent:  3.00% (G:0.00% B:0.00%) 97.00% (G:42.01% B:0.08%)  

5.  XG Roller++  20/14 12/8  eq: 1.343 (0.017) 
 Player: Opponent:  3.01% (G:0.00% B:0.00%) 96.99% (G:43.30% B:0.08%)  




43: 6/2 3/Off 

1.  XG Roller++  6/3 4/Off  eq: +1.278 
 Player: Opponent:  97.13% (G:35.16% B:0.07%) 2.87% (G:0.00% B:0.00%)  

2.  XG Roller++  4/Off 3/Off  eq: +1.266 (0.012) 
 Player: Opponent:  94.17% (G:37.02% B:0.18%) 5.83% (G:0.00% B:0.00%)  

3.  XG Roller++  6/2 3/Off  eq: +1.253 (0.025) 
 Player: Opponent:  97.81% (G:31.90% B:0.04%) 2.19% (G:0.00% B:0.00%)  

4.  XG Roller++  6/2 4/1  eq: +1.172 (0.106) 
 Player: Opponent:  97.06% (G:24.45% B:0.03%) 2.94% (G:0.00% B:0.00%)  

5.  3ply  6/3 6/2  eq: +0.925 (0.353) 
 Player: Opponent:  84.43% (G:22.58% B:0.03%) 15.57% (G:0.00% B:0.00%)  




55: 16/6 14/4 

1.  XG Roller++  16/6 14/4  eq: 1.008 
 Player: Opponent:  1.59% (G:0.00% B:0.00%) 98.41% (G:3.72% B:0.01%)  

2.  XG Roller++  20/10 16/6  eq: 1.018 (0.009) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:1.98% B:0.00%)  

3.  XG Roller++  20/15 16/6 14/9  eq: 1.018 (0.010) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.04% B:0.00%)  

4.  XG Roller++  20/10 16/11 14/9  eq: 1.020 (0.011) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.20% B:0.00%)  

5.  XG Roller++  20/5 16/11  eq: 1.025 (0.017) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.82% B:0.00%)  




Double/Pass 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
98.41% (G:3.61% B:0.01%) 
98.49% (G:3.54% B:0.01%) 
Opponent Winning Chances: 
1.59% (G:0.00% B:0.00%) 
1.51% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.001 
+1.926 
Cubeful Equities 
No double:  +1.005  
Double/Take:  +1.923 (+0.918)  
Double/Pass:  +1.000 (0.005) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 0.6% 



Wins 1pt. 


