61: 13/7 8/7 


1.  Book^{1}  13/7 8/7  eq: +0.126 
 Player: Opponent:  53.46% (G:15.07% B:0.66%) 46.54% (G:11.84% B:0.51%)  

2.  Book^{1}  24/23 24/18  eq: 0.085 (0.211) 
 Player: Opponent:  48.98% (G:11.72% B:0.48%) 51.02% (G:14.11% B:0.47%)  

3.  4ply  24/23 13/7  eq: 0.087 (0.213) 
 Player: Opponent:  48.29% (G:13.17% B:0.53%) 51.71% (G:13.76% B:0.62%)  

4.  4ply  13/7 6/5  eq: 0.118 (0.244) 
 Player: Opponent:  47.97% (G:12.69% B:0.53%) 52.03% (G:14.89% B:1.00%)  

5.  Book^{1}  13/6  eq: 0.126 (0.252) 
 Player: Opponent:  47.53% (G:13.29% B:0.62%) 52.47% (G:14.73% B:0.67%)  


^{1} Generated by GameSite 2000, Ltd on 21May11 using eXtreme Gammon 2.00 Analyzed in XG Roller++



41: 24/23 13/9 


1.  XG Roller++  24/23 13/9  eq: 0.229 
 Player: Opponent:  44.10% (G:11.43% B:0.44%) 55.90% (G:16.84% B:0.74%)  

2.  XG Roller++  24/23 24/20  eq: 0.249 (0.021) 
 Player: Opponent:  43.75% (G:9.58% B:0.36%) 56.25% (G:15.33% B:0.56%)  

3.  XG Roller++  13/9 6/5  eq: 0.255 (0.026) 
 Player: Opponent:  43.69% (G:11.26% B:0.47%) 56.31% (G:17.24% B:1.23%)  

4.  XG Roller++  24/20 6/5  eq: 0.286 (0.058) 
 Player: Opponent:  43.83% (G:10.27% B:0.46%) 56.17% (G:18.59% B:0.96%)  

5.  XG Roller++  13/8  eq: 0.292 (0.064) 
 Player: Opponent:  42.47% (G:10.71% B:0.44%) 57.53% (G:16.92% B:0.79%)  



52: 24/22 13/8 


1.  XG Roller++  24/22 13/8  eq: +0.108 
 Player: Opponent:  53.39% (G:14.53% B:0.60%) 46.61% (G:12.49% B:0.43%)  

2.  XG Roller++  13/11 13/8  eq: +0.050 (0.058) 
 Player: Opponent:  51.75% (G:15.52% B:0.66%) 48.25% (G:13.62% B:0.69%)  

3.  XG Roller++  24/22 6/1*  eq: +0.001 (0.107) 
 Player: Opponent:  50.81% (G:13.86% B:0.50%) 49.19% (G:13.58% B:0.56%)  

4.  XG Roller++  13/8 6/4  eq: 0.003 (0.112) 
 Player: Opponent:  50.61% (G:14.80% B:0.63%) 49.39% (G:14.10% B:0.80%)  

5.  XG Roller++  13/11 6/1*  eq: 0.039 (0.148) 
 Player: Opponent:  49.82% (G:14.30% B:0.55%) 50.18% (G:14.53% B:0.80%)  



53: 8/3* 6/3 


1.  3ply  8/3* 6/3  eq: +0.013 
 Player: Opponent:  49.03% (G:15.09% B:0.62%) 50.97% (G:13.69% B:0.67%)  

2.  3ply  13/8 6/3*  eq: 0.308 (0.321) 
 Player: Opponent:  42.39% (G:10.93% B:0.45%) 57.61% (G:18.60% B:1.12%)  

3.  3ply  24/21 8/3*  eq: 0.332 (0.345) 
 Player: Opponent:  41.93% (G:10.23% B:0.42%) 58.07% (G:18.62% B:1.05%)  

4.  3ply  23/20 8/3*  eq: 0.332 (0.345) 
 Player: Opponent:  42.10% (G:10.29% B:0.41%) 57.90% (G:18.67% B:1.19%)  

5.  3ply  6/3* 6/1*  eq: 0.353 (0.366) 
 Player: Opponent:  41.22% (G:10.86% B:0.37%) 58.78% (G:19.18% B:1.23%)  



54: Bar/16* 


1.  XG Roller++  Bar/20 24/20  eq: +0.349 
 Player: Opponent:  58.69% (G:13.96% B:0.45%) 41.31% (G:6.95% B:0.22%)  

2.  XG Roller++  Bar/16*  eq: +0.317 (0.032) 
 Player: Opponent:  58.76% (G:16.24% B:0.89%) 41.24% (G:11.35% B:0.42%)  

3.  3ply  Bar/21 13/8  eq: 0.087 (0.437) 
 Player: Opponent:  49.57% (G:13.57% B:0.61%) 50.43% (G:16.76% B:0.65%)  

4.  3ply  Bar/21 6/1*  eq: 0.103 (0.452) 
 Player: Opponent:  48.72% (G:13.77% B:0.58%) 51.28% (G:15.91% B:0.84%)  

5.  3ply  Bar/20 6/2*  eq: 0.114 (0.463) 
 Player: Opponent:  48.77% (G:13.69% B:0.71%) 51.23% (G:16.63% B:1.00%)  


Χαρακτηριστικό παράδειγμα του πόσο δυνατή είναι η Χρυσή Πόρτα του 20. 

54: Bar/20 13/9* 


1.  XG Roller++  Bar/20 13/9*  eq: 0.057 
 Player: Opponent:  47.28% (G:14.50% B:0.65%) 52.72% (G:14.60% B:0.83%)  

2.  XG Roller++  Bar/20 24/20  eq: 0.153 (0.095) 
 Player: Opponent:  44.08% (G:10.97% B:0.27%) 55.92% (G:10.13% B:0.32%)  

3.  3ply  Bar/21 13/8  eq: 0.418 (0.360) 
 Player: Opponent:  38.58% (G:9.55% B:0.35%) 61.42% (G:16.71% B:0.79%)  

4.  3ply  Bar/21 6/1*  eq: 0.420 (0.362) 
 Player: Opponent:  38.61% (G:10.18% B:0.33%) 61.39% (G:17.37% B:1.00%)  

5.  3ply  Bar/16  eq: 0.447 (0.389) 
 Player: Opponent:  38.37% (G:9.30% B:0.36%) 61.63% (G:18.69% B:0.90%)  



55: Bar/15 6/1*(2) 


1.  XG Roller++  Bar/15 6/1*(2)  eq: +0.286 
 Player: Opponent:  56.97% (G:18.19% B:0.80%) 43.03% (G:11.65% B:0.47%)  

2.  XG Roller++  Bar/20 7/2* 6/1*(2)  eq: +0.267 (0.018) 
 Player: Opponent:  54.93% (G:24.48% B:1.21%) 45.07% (G:13.28% B:0.78%)  

3.  XG Roller++  Bar/20 13/8 6/1*(2)  eq: +0.258 (0.027) 
 Player: Opponent:  54.96% (G:22.32% B:1.09%) 45.04% (G:12.59% B:0.55%)  

4.  XG Roller++  Bar/20 7/2*(2) 6/1*  eq: +0.234 (0.051) 
 Player: Opponent:  54.65% (G:22.34% B:1.26%) 45.35% (G:12.92% B:0.63%)  

5.  XG Roller++  Bar/5*  eq: +0.203 (0.082) 
 Player: Opponent:  55.50% (G:16.57% B:1.02%) 44.50% (G:13.17% B:0.52%)  



65: Bar/20 13/7 


1.  XG Roller++  Bar/20 13/7  eq: 0.273 
 Player: Opponent:  42.57% (G:11.19% B:0.33%) 57.43% (G:16.99% B:0.48%)  

2.  XG Roller++  Bar/20 9/3  eq: 0.291 (0.019) 
 Player: Opponent:  40.73% (G:10.04% B:0.22%) 59.27% (G:11.87% B:0.29%)  

3.  4ply  Bar/20 8/2  eq: 0.442 (0.169) 
 Player: Opponent:  39.20% (G:9.83% B:0.31%) 60.80% (G:20.56% B:0.65%)  

4.  4ply  Bar/14  eq: 0.529 (0.256) 
 Player: Opponent:  37.87% (G:9.80% B:0.52%) 62.13% (G:27.12% B:1.49%)  



33: 24/18* 18/15 13/10 


1.  XG Roller++  24/18* 7/4(2)  eq: +0.550 
 Player: Opponent:  61.42% (G:25.35% B:0.83%) 38.58% (G:9.36% B:0.40%)  

2.  XG Roller++  24/18* 18/15 13/10  eq: +0.505 (0.044) 
 Player: Opponent:  62.53% (G:18.65% B:0.61%) 37.47% (G:8.47% B:0.32%)  

3.  XG Roller++  24/18* 13/10(2)  eq: +0.449 (0.101) 
 Player: Opponent:  60.02% (G:22.83% B:0.84%) 39.98% (G:10.48% B:0.47%)  

4.  4ply  24/18* 13/7  eq: +0.386 (0.164) 
 Player: Opponent:  58.78% (G:21.61% B:0.73%) 41.22% (G:10.85% B:0.43%)  

5.  4ply  24/18* 18/15 6/3  eq: +0.340 (0.210) 
 Player: Opponent:  59.36% (G:16.91% B:0.41%) 40.64% (G:10.47% B:0.35%)  


Όταν έχουμε κάνει την πόρτα του άσου, κάθε άλλη εσωτερική πόρτα είναι ισοδύναμη και ακόμα πιο επιτακτική να γίνει, αφού το σχέδιο της επίθεσης γίνεται πιο πιθανό. 

44: Bar/21 9/5 8/4(2) 


1.  XG Roller++  Bar/21 9/5 8/4(2)  eq: 0.568 
 Player: Opponent:  35.42% (G:8.59% B:0.28%) 64.58% (G:18.27% B:0.50%)  

2.  XG Roller++  Bar/21 8/4(2) 6/2  eq: 0.631 (0.063) 
 Player: Opponent:  34.05% (G:7.73% B:0.22%) 65.95% (G:18.91% B:0.59%)  

3.  XG Roller++  Bar/21 8/4 6/2(2)  eq: 0.653 (0.085) 
 Player: Opponent:  33.70% (G:7.83% B:0.22%) 66.30% (G:20.66% B:0.69%)  

4.  XG Roller++  Bar/21 9/5 6/2(2)  eq: 0.665 (0.097) 
 Player: Opponent:  33.44% (G:7.54% B:0.23%) 66.56% (G:19.71% B:0.55%)  

5.  XG Roller++  Bar/21 13/5 9/5  eq: 0.684 (0.116) 
 Player: Opponent:  32.91% (G:6.66% B:0.23%) 67.09% (G:19.38% B:0.46%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.74% (G:18.13% B:0.53%) 
64.80% (G:17.95% B:0.50%) 
Opponent Winning Chances: 
35.26% (G:8.47% B:0.26%) 
35.20% (G:8.36% B:0.25%) 
Cubeless Equities 
+0.396 
+0.794 
Cubeful Equities 
No double:  +0.577  
Double/Take:  +0.480 (0.097)  
Double/Pass:  +1.000 (+0.423) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.7% 


65: 15/10 8/2* 


1.  XG Roller++  15/10 8/2*  eq: +0.368 
 Player: Opponent:  60.27% (G:15.78% B:0.49%) 39.73% (G:11.29% B:0.41%)  

2.  XG Roller++  15/10 15/9  eq: +0.331 (0.037) 
 Player: Opponent:  59.50% (G:14.33% B:0.46%) 40.50% (G:11.16% B:0.30%)  

3.  XG Roller++  8/2* 7/2  eq: +0.263 (0.106) 
 Player: Opponent:  56.32% (G:23.40% B:0.58%) 43.68% (G:15.11% B:0.63%)  

4.  XG Roller++  13/8 10/4*  eq: +0.217 (0.151) 
 Player: Opponent:  55.95% (G:17.62% B:0.44%) 44.05% (G:14.12% B:0.46%)  

5.  4ply  13/8 13/7  eq: +0.199 (0.170) 
 Player: Opponent:  56.13% (G:14.85% B:0.42%) 43.87% (G:12.19% B:0.34%)  



64: Bar/21 13/7 


1.  XG Roller++  Bar/21 20/14  eq: 0.628 
 Player: Opponent:  32.38% (G:5.55% B:0.14%) 67.62% (G:13.51% B:0.23%)  

2.  XG Roller++  Bar/21 13/7  eq: 0.629 (0.001) 
 Player: Opponent:  32.00% (G:4.73% B:0.11%) 68.00% (G:9.93% B:0.15%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.16% (G:9.53% B:0.12%) 
68.41% (G:8.95% B:0.10%) 
Opponent Winning Chances: 
31.84% (G:4.63% B:0.10%) 
31.59% (G:4.36% B:0.09%) 
Cubeless Equities 
+0.413 
+0.835 
Cubeful Equities 
No double:  +0.638  
Double/Take:  +0.576 (0.062)  
Double/Pass:  +1.000 (+0.362) 

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


21: 15/13 2/1 


1.  XG Roller++  15/13 2/1  eq: +0.541 
 Player: Opponent:  66.33% (G:7.42% B:0.09%) 33.67% (G:4.66% B:0.13%)  

2.  XG Roller++  15/12*  eq: +0.533 (0.008) 
 Player: Opponent:  64.35% (G:14.70% B:0.37%) 35.65% (G:7.84% B:0.27%)  

3.  XG Roller++  13/12* 12/10  eq: +0.452 (0.089) 
 Player: Opponent:  62.86% (G:14.54% B:0.36%) 37.14% (G:8.99% B:0.37%)  

4.  4ply  13/11 13/12*  eq: +0.275 (0.266) 
 Player: Opponent:  58.26% (G:15.25% B:0.43%) 41.74% (G:13.08% B:0.90%)  

5.  3ply  8/7 8/6  eq: +0.087 (0.454) 
 Player: Opponent:  54.86% (G:11.03% B:0.27%) 45.14% (G:12.29% B:0.29%)  



63: 13/4 


1.  XG Roller++  13/7 6/3  eq: 0.598 
 Player: Opponent:  32.06% (G:4.22% B:0.07%) 67.94% (G:7.10% B:0.09%)  

2.  XG Roller++  20/11  eq: 0.609 (0.011) 
 Player: Opponent:  32.99% (G:5.57% B:0.15%) 67.01% (G:12.50% B:0.38%)  

3.  XG Roller++  13/4  eq: 0.613 (0.014) 
 Player: Opponent:  31.73% (G:4.16% B:0.07%) 68.27% (G:7.08% B:0.10%)  

4.  XG Roller++  20/14 13/10  eq: 0.622 (0.023) 
 Player: Opponent:  33.11% (G:5.98% B:0.19%) 66.89% (G:14.35% B:0.39%)  

5.  XG Roller++  13/7 5/2  eq: 0.626 (0.028) 
 Player: Opponent:  31.59% (G:3.95% B:0.06%) 68.41% (G:7.25% B:0.09%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.21% (G:7.11% B:0.11%) 
68.20% (G:7.12% B:0.11%) 
Opponent Winning Chances: 
31.79% (G:4.20% B:0.07%) 
31.80% (G:4.17% B:0.07%) 
Cubeless Equities 
+0.394 
+0.793 
Cubeful Equities 
No double:  +0.615  
Double/Take:  +0.543 (0.072)  
Double/Pass:  +1.000 (+0.385) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.6% 


52: 13/6 


1.  4ply  13/6  eq: +0.593 
 Player: Opponent:  68.01% (G:6.88% B:0.08%) 31.99% (G:3.93% B:0.11%)  

2.  4ply  8/6 8/3  eq: +0.387 (0.205) 
 Player: Opponent:  62.93% (G:6.75% B:0.07%) 37.07% (G:5.42% B:0.16%)  

3.  3ply  13/11 13/8  eq: +0.247 (0.346) 
 Player: Opponent:  59.10% (G:9.81% B:0.22%) 40.90% (G:10.61% B:0.27%)  

4.  3ply  13/11 6/1  eq: +0.091 (0.501) 
 Player: Opponent:  55.47% (G:7.64% B:0.13%) 44.53% (G:11.63% B:0.25%)  

5.  3ply  13/8 10/8  eq: 0.023 (0.616) 
 Player: Opponent:  52.02% (G:9.21% B:0.17%) 47.98% (G:13.93% B:0.26%)  



63: 7/1 4/1 


1.  XG Roller++  20/11  eq: 0.669 
 Player: Opponent:  30.29% (G:4.24% B:0.10%) 69.71% (G:8.29% B:0.27%)  

2.  XG Roller++  7/1 4/1  eq: 0.691 (0.022) 
 Player: Opponent:  29.87% (G:3.46% B:0.04%) 70.13% (G:6.81% B:0.09%)  

3.  XG Roller++  7/1 6/3  eq: 0.748 (0.080) 
 Player: Opponent:  28.85% (G:3.06% B:0.04%) 71.15% (G:8.03% B:0.14%)  

4.  XG Roller++  20/14 6/3  eq: 0.755 (0.087) 
 Player: Opponent:  29.90% (G:4.55% B:0.13%) 70.10% (G:13.52% B:0.34%)  

5.  XG Roller++  7/1 5/2  eq: 0.767 (0.098) 
 Player: Opponent:  28.45% (G:2.86% B:0.03%) 71.55% (G:7.83% B:0.12%)  


Ο χρόνος μού τελειώνει, οπότε το λύσιμο γίνεται πιο επιτακτικό. Ένας επιπλέον λόγος για να λύσω είναι ότι η εναλλακτική κάνει την πόρτα του άσου. 

Double/Take 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
70.22% (G:7.00% B:0.10%) 
70.24% (G:7.25% B:0.10%) 
Opponent Winning Chances: 
29.78% (G:3.51% B:0.04%) 
29.76% (G:3.44% B:0.04%) 
Cubeless Equities 
+0.441 
+0.895 
Cubeful Equities 
No double:  +0.705  
Double/Take:  +0.670 (0.035)  
Double/Pass:  +1.000 (+0.295) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.6% 

Οριακά νωρίς. Το πρόβλημα του Άτμα είναι το καμένο πούλι στον άσο και το ότι θα λύσω με σχετική ασφάλεια λόγω του αδύναμου στρατοπέδου του. 

21: 13/10 


1.  XG Roller++  13/10  eq: +0.279 
 Player: Opponent:  68.82% (G:6.71% B:0.11%) 31.18% (G:4.03% B:0.06%)  

2.  XG Roller++  8/7 8/6  eq: +0.123 (0.157) 
 Player: Opponent:  62.60% (G:6.43% B:0.09%) 37.40% (G:5.47% B:0.10%)  

3.  3ply  13/12 13/11  eq: 0.096 (0.376) 
 Player: Opponent:  56.34% (G:8.02% B:0.19%) 43.66% (G:13.85% B:0.25%)  

4.  3ply  10/9 10/8  eq: 0.168 (0.448) 
 Player: Opponent:  53.48% (G:7.19% B:0.12%) 46.52% (G:13.12% B:0.10%)  

5.  3ply  10/7  eq: 0.250 (0.529) 
 Player: Opponent:  50.59% (G:7.19% B:0.12%) 49.41% (G:14.07% B:0.10%)  



41: 6/5 6/2 


1.  XG Roller++  6/5 6/2  eq: 0.364 
 Player: Opponent:  28.26% (G:2.29% B:0.01%) 71.74% (G:6.03% B:0.06%)  

2.  XG Roller++  20/16 6/5  eq: 0.366 (0.001) 
 Player: Opponent:  28.79% (G:2.75% B:0.02%) 71.21% (G:7.86% B:0.08%)  

3.  XG Roller++  6/2 3/2  eq: 0.401 (0.037) 
 Player: Opponent:  27.28% (G:2.03% B:0.01%) 72.72% (G:7.04% B:0.11%)  

4.  XG Roller++  6/2 5/4  eq: 0.421 (0.056) 
 Player: Opponent:  26.40% (G:1.82% B:0.01%) 73.60% (G:6.77% B:0.09%)  

5.  XG Roller++  6/1  eq: 0.449 (0.085) 
 Player: Opponent:  25.48% (G:1.63% B:0.01%) 74.52% (G:7.24% B:0.10%)  



42: 13/7 


1.  4ply  13/7  eq: +0.367 
 Player: Opponent:  72.02% (G:5.63% B:0.06%) 27.98% (G:2.27% B:0.05%)  

2.  4ply  10/8 6/2  eq: +0.197 (0.170) 
 Player: Opponent:  66.11% (G:6.26% B:0.08%) 33.89% (G:5.30% B:0.09%)  

3.  3ply  13/11 6/2  eq: 0.127 (0.494) 
 Player: Opponent:  55.20% (G:6.98% B:0.13%) 44.80% (G:11.44% B:0.08%)  

4.  3ply  13/11 10/6  eq: 0.156 (0.523) 
 Player: Opponent:  53.88% (G:6.83% B:0.13%) 46.12% (G:10.34% B:0.08%)  

5.  3ply  13/9 10/8  eq: 0.212 (0.580) 
 Player: Opponent:  52.54% (G:7.07% B:0.15%) 47.46% (G:12.04% B:0.07%)  



66: 20/14 20/2 


1.  XG Roller++  20/14 20/2  eq: 0.142 
 Player: Opponent:  36.55% (G:1.61% B:0.01%) 63.45% (G:1.27% B:0.01%)  

2.  XG Roller++  20/8(2)  eq: 0.147 (0.005) 
 Player: Opponent:  36.23% (G:1.62% B:0.01%) 63.77% (G:1.37% B:0.01%)  



32: 10/8 6/3 


1.  XG Roller++  10/8 6/3  eq: +0.121 
 Player: Opponent:  62.44% (G:1.42% B:0.02%) 37.56% (G:1.66% B:0.01%)  

2.  XG Roller++  7/2  eq: +0.077 (0.044) 
 Player: Opponent:  60.50% (G:1.26% B:0.02%) 39.50% (G:1.67% B:0.02%)  

3.  XG Roller++  6/1  eq: 0.002 (0.124) 
 Player: Opponent:  57.54% (G:0.87% B:0.01%) 42.46% (G:1.81% B:0.01%)  

4.  3ply  8/5 7/5  eq: 0.308 (0.429) 
 Player: Opponent:  45.36% (G:1.01% B:0.01%) 54.64% (G:11.52% B:0.04%)  

5.  3ply  10/5  eq: 0.377 (0.498) 
 Player: Opponent:  43.97% (G:1.02% B:0.01%) 56.03% (G:14.36% B:0.06%)  



63: 14/5 


1.  XG Roller++  14/5  eq: 0.133 
 Player: Opponent:  37.04% (G:1.82% B:0.02%) 62.96% (G:1.55% B:0.02%)  

2.  XG Roller++  14/8 6/3  eq: 0.153 (0.021) 
 Player: Opponent:  36.16% (G:1.61% B:0.02%) 63.84% (G:1.96% B:0.03%)  

3.  XG Roller++  14/8 5/2  eq: 0.166 (0.033) 
 Player: Opponent:  35.65% (G:1.57% B:0.01%) 64.35% (G:2.04% B:0.03%)  

4.  XG Roller++  14/8 4/1  eq: 0.177 (0.044) 
 Player: Opponent:  35.19% (G:1.46% B:0.01%) 64.81% (G:2.08% B:0.03%)  



64: 8/2 7/3 


1.  XG Roller++  8/2 7/3  eq: +0.170 
 Player: Opponent:  64.00% (G:1.63% B:0.02%) 36.00% (G:1.86% B:0.03%)  

2.  XG Roller++  8/2 6/2  eq: +0.072 (0.098) 
 Player: Opponent:  59.99% (G:1.42% B:0.02%) 40.01% (G:2.60% B:0.03%)  

3.  4ply  7/1 6/2  eq: 0.076 (0.246) 
 Player: Opponent:  55.28% (G:0.97% B:0.02%) 44.72% (G:3.03% B:0.02%)  

4.  3ply  7/3 7/1  eq: 0.403 (0.573) 
 Player: Opponent:  41.20% (G:0.68% B:0.01%) 58.80% (G:11.76% B:0.04%)  

5.  3ply  10/6 8/2  eq: 0.408 (0.578) 
 Player: Opponent:  38.98% (G:0.86% B:0.01%) 61.02% (G:8.55% B:0.05%)  



42: 6/4 6/2 


1.  XG Roller++  6/4 5/1  eq: 0.220 
 Player: Opponent:  33.42% (G:1.12% B:0.01%) 66.58% (G:1.65% B:0.02%)  

2.  XG Roller++  6/4 6/2  eq: 0.222 (0.002) 
 Player: Opponent:  33.41% (G:1.13% B:0.01%) 66.59% (G:1.70% B:0.01%)  

3.  XG Roller++  6/2 5/3  eq: 0.226 (0.005) 
 Player: Opponent:  33.19% (G:1.10% B:0.01%) 66.81% (G:1.79% B:0.02%)  

4.  XG Roller++  5/3 5/1  eq: 0.245 (0.024) 
 Player: Opponent:  32.39% (G:1.10% B:0.01%) 67.61% (G:2.00% B:0.02%)  

5.  XG Roller++  5/1 4/2  eq: 0.262 (0.042) 
 Player: Opponent:  31.76% (G:1.03% B:0.01%) 68.24% (G:2.17% B:0.03%)  



53: 10/7 10/5 


1.  XG Roller++  10/2  eq: 0.087 
 Player: Opponent:  53.51% (G:1.55% B:0.02%) 46.49% (G:2.38% B:0.03%)  

2.  XG Roller++  8/5 8/3  eq: 0.105 (0.018) 
 Player: Opponent:  53.11% (G:1.48% B:0.02%) 46.89% (G:3.22% B:0.03%)  

3.  XG Roller++  10/7 10/5  eq: 0.109 (0.021) 
 Player: Opponent:  53.07% (G:1.16% B:0.01%) 46.93% (G:2.07% B:0.01%)  

4.  XG Roller++  7/2 6/3  eq: 0.132 (0.044) 
 Player: Opponent:  52.76% (G:2.13% B:0.03%) 47.24% (G:4.10% B:0.04%)  

5.  XG Roller++  8/3 6/3  eq: 0.236 (0.149) 
 Player: Opponent:  47.26% (G:1.26% B:0.01%) 52.74% (G:4.11% B:0.04%)  



64: 21/11 


1.  XG Roller++  21/11  eq: 0.111 
 Player: Opponent:  38.20% (G:0.61% B:0.01%) 61.80% (G:0.53% B:0.00%)  

2.  XG Roller++  21/15 5/1  eq: 0.201 (0.090) 
 Player: Opponent:  34.50% (G:0.62% B:0.01%) 65.50% (G:0.97% B:0.01%)  



63: 8/5 8/2 


1.  XG Roller++  8/5 8/2  eq: +0.160 
 Player: Opponent:  64.25% (G:0.17% B:0.00%) 35.75% (G:0.12% B:0.00%)  

2.  XG Roller++  7/1 5/2  eq: +0.044 (0.116) 
 Player: Opponent:  58.90% (G:0.16% B:0.00%) 41.10% (G:0.12% B:0.00%)  

3.  3ply  8/5 7/1  eq: 0.185 (0.344) 
 Player: Opponent:  48.33% (G:0.33% B:0.00%) 51.67% (G:1.04% B:0.01%)  

4.  3ply  8/2 5/2  eq: 0.318 (0.478) 
 Player: Opponent:  41.95% (G:0.24% B:0.00%) 58.05% (G:1.17% B:0.01%)  

5.  3ply  8/2 7/4*  eq: 0.319 (0.479) 
 Player: Opponent:  45.06% (G:1.96% B:0.02%) 54.94% (G:14.15% B:0.28%)  



61: 21/15 11/10 


1.  XG Roller++  21/14  eq: 0.229 
 Player: Opponent:  32.68% (G:0.00% B:0.00%) 67.32% (G:0.00% B:0.00%)  

2.  XG Roller++  21/15 11/10  eq: 0.231 (0.003) 
 Player: Opponent:  32.57% (G:0.00% B:0.00%) 67.43% (G:0.00% B:0.00%)  

3.  XG Roller++  21/15 5/4  eq: 0.255 (0.027) 
 Player: Opponent:  31.57% (G:0.00% B:0.00%) 68.43% (G:0.00% B:0.00%)  

4.  XG Roller++  21/15 4/3  eq: 0.268 (0.040) 
 Player: Opponent:  31.04% (G:0.00% B:0.00%) 68.96% (G:0.00% B:0.00%)  

5.  XG Roller++  21/15 2/1  eq: 0.275 (0.047) 
 Player: Opponent:  30.75% (G:0.00% B:0.00%) 69.25% (G:0.00% B:0.00%)  



51: 7/6 7/2 


1.  XG Roller++  7/6 7/2  eq: +0.092 
 Player: Opponent:  61.43% (G:0.00% B:0.00%) 38.57% (G:0.00% B:0.00%)  

2.  XG Roller++  7/2 5/4  eq: +0.035 (0.057) 
 Player: Opponent:  58.94% (G:0.00% B:0.00%) 41.06% (G:0.00% B:0.00%)  

3.  XG Roller++  7/2 6/5  eq: +0.007 (0.084) 
 Player: Opponent:  57.76% (G:0.00% B:0.00%) 42.24% (G:0.00% B:0.00%)  

4.  XG Roller++  7/1  eq: 0.048 (0.139) 
 Player: Opponent:  55.30% (G:0.00% B:0.00%) 44.70% (G:0.00% B:0.00%)  

5.  XG Roller++  6/1 5/4  eq: 0.055 (0.147) 
 Player: Opponent:  54.93% (G:0.00% B:0.00%) 45.07% (G:0.00% B:0.00%)  



21: 15/12 


1.  XG Roller++  15/12  eq: 0.427 
 Player: Opponent:  24.30% (G:0.00% B:0.00%) 75.70% (G:0.00% B:0.00%)  

2.  XG Roller++  15/13 10/9  eq: 0.446 (0.019) 
 Player: Opponent:  23.53% (G:0.00% B:0.00%) 76.47% (G:0.00% B:0.00%)  

3.  XG Roller++  10/7  eq: 0.453 (0.026) 
 Player: Opponent:  23.22% (G:0.00% B:0.00%) 76.78% (G:0.00% B:0.00%)  

4.  XG Roller++  15/14 10/8  eq: 0.461 (0.034) 
 Player: Opponent:  22.90% (G:0.00% B:0.00%) 77.10% (G:0.00% B:0.00%)  

5.  XG Roller++  15/13 5/4  eq: 0.465 (0.038) 
 Player: Opponent:  22.75% (G:0.00% B:0.00%) 77.25% (G:0.00% B:0.00%)  



31: 7/4 1/Off 


1.  XG Roller++  7/4 1/Off  eq: +0.337 
 Player: Opponent:  71.87% (G:0.00% B:0.00%) 28.13% (G:0.00% B:0.00%)  

2.  XG Roller++  7/4 6/5  eq: +0.238 (0.099) 
 Player: Opponent:  67.60% (G:0.00% B:0.00%) 32.40% (G:0.00% B:0.00%)  

3.  XG Roller++  7/4 5/4  eq: +0.202 (0.135) 
 Player: Opponent:  66.10% (G:0.00% B:0.00%) 33.90% (G:0.00% B:0.00%)  

4.  XG Roller++  6/3 5/4  eq: +0.123 (0.214) 
 Player: Opponent:  62.64% (G:0.00% B:0.00%) 37.36% (G:0.00% B:0.00%)  

5.  4ply  7/4 2/1  eq: +0.167 (0.170) 
 Player: Opponent:  64.38% (G:0.00% B:0.00%) 35.62% (G:0.00% B:0.00%)  



52: 12/5 


1.  XG Roller++  12/5  eq: 0.440 
 Player: Opponent:  23.77% (G:0.00% B:0.00%) 76.23% (G:0.00% B:0.00%)  

2.  XG Roller++  10/3  eq: 0.496 (0.056) 
 Player: Opponent:  21.43% (G:0.00% B:0.00%) 78.57% (G:0.00% B:0.00%)  

3.  XG Roller++  10/5 4/2  eq: 0.534 (0.094) 
 Player: Opponent:  19.80% (G:0.00% B:0.00%) 80.20% (G:0.00% B:0.00%)  

4.  XG Roller++  12/7 10/8  eq: 0.546 (0.106) 
 Player: Opponent:  19.38% (G:0.00% B:0.00%) 80.62% (G:0.00% B:0.00%)  

5.  XG Roller++  12/7 5/3  eq: 0.554 (0.114) 
 Player: Opponent:  19.05% (G:0.00% B:0.00%) 80.95% (G:0.00% B:0.00%)  



52: 5/Off 2/Off 


1.  XG Roller++  5/Off 2/Off  eq: +0.418 
 Player: Opponent:  75.01% (G:0.00% B:0.00%) 24.99% (G:0.00% B:0.00%)  

2.  XG Roller++  6/4 5/Off  eq: +0.379 (0.038) 
 Player: Opponent:  73.50% (G:0.00% B:0.00%) 26.50% (G:0.00% B:0.00%)  

3.  XG Roller++  6/1 2/Off  eq: +0.343 (0.075) 
 Player: Opponent:  72.01% (G:0.00% B:0.00%) 27.99% (G:0.00% B:0.00%)  

4.  XG Roller++  6/4 6/1  eq: +0.298 (0.119) 
 Player: Opponent:  70.16% (G:0.00% B:0.00%) 29.84% (G:0.00% B:0.00%)  

5.  4ply  5/Off 3/1  eq: +0.229 (0.189) 
 Player: Opponent:  67.09% (G:0.00% B:0.00%) 32.91% (G:0.00% B:0.00%)  



53: 10/5 3/Off 


1.  XG Roller++  10/5 3/Off  eq: 0.479 
 Player: Opponent:  22.08% (G:0.00% B:0.00%) 77.92% (G:0.00% B:0.00%)  

2.  XG Roller++  10/2  eq: 0.604 (0.125) 
 Player: Opponent:  16.89% (G:0.00% B:0.00%) 83.11% (G:0.00% B:0.00%)  

3.  XG Roller++  10/5 4/1  eq: 0.636 (0.157) 
 Player: Opponent:  15.50% (G:0.00% B:0.00%) 84.50% (G:0.00% B:0.00%)  



43: 4/Off 3/Off 


1.  4ply  4/Off 3/Off  eq: +0.402 
 Player: Opponent:  74.50% (G:0.00% B:0.00%) 25.50% (G:0.00% B:0.00%)  

2.  4ply  6/2 3/Off  eq: +0.384 (0.018) 
 Player: Opponent:  73.75% (G:0.00% B:0.00%) 26.25% (G:0.00% B:0.00%)  

3.  4ply  6/3 4/Off  eq: +0.331 (0.071) 
 Player: Opponent:  71.46% (G:0.00% B:0.00%) 28.54% (G:0.00% B:0.00%)  

4.  4ply  6/3 6/2  eq: +0.309 (0.093) 
 Player: Opponent:  70.52% (G:0.00% B:0.00%) 29.48% (G:0.00% B:0.00%)  

5.  4ply  5/1 3/Off  eq: +0.213 (0.189) 
 Player: Opponent:  66.28% (G:0.00% B:0.00%) 33.72% (G:0.00% B:0.00%)  



62: 5/Off 2/Off 


1.  4ply  5/Off 2/Off  eq: 0.416 
 Player: Opponent:  24.90% (G:0.00% B:0.00%) 75.10% (G:0.00% B:0.00%)  

2.  4ply  5/3 5/Off  eq: 0.579 (0.163) 
 Player: Opponent:  18.04% (G:0.00% B:0.00%) 81.96% (G:0.00% B:0.00%)  

3.  4ply  5/Off 4/2  eq: 0.626 (0.209) 
 Player: Opponent:  16.04% (G:0.00% B:0.00%) 83.96% (G:0.00% B:0.00%)  

4.  4ply  5/Off 3/1  eq: 0.676 (0.260) 
 Player: Opponent:  13.88% (G:0.00% B:0.00%) 86.12% (G:0.00% B:0.00%)  



64: 6/2 6/Off 


1.  4ply  6/2 6/Off  eq: +0.487 
 Player: Opponent:  78.10% (G:0.00% B:0.00%) 21.90% (G:0.00% B:0.00%)  

2.  4ply  6/Off 5/1  eq: +0.371 (0.116) 
 Player: Opponent:  73.01% (G:0.00% B:0.00%) 26.99% (G:0.00% B:0.00%)  



21: 2/Off 1/Off 


1.  4ply  2/Off 1/Off  eq: 0.664 
 Player: Opponent:  14.36% (G:0.00% B:0.00%) 85.64% (G:0.00% B:0.00%)  

2.  4ply  5/3 1/Off  eq: 0.775 (0.111) 
 Player: Opponent:  9.65% (G:0.00% B:0.00%) 90.35% (G:0.00% B:0.00%)  

3.  4ply  5/4 2/Off  eq: 0.785 (0.122) 
 Player: Opponent:  9.21% (G:0.00% B:0.00%) 90.79% (G:0.00% B:0.00%)  

4.  4ply  4/2 1/Off  eq: 0.797 (0.133) 
 Player: Opponent:  8.70% (G:0.00% B:0.00%) 91.30% (G:0.00% B:0.00%)  

5.  4ply  4/3 2/Off  eq: 0.802 (0.138) 
 Player: Opponent:  8.49% (G:0.00% B:0.00%) 91.51% (G:0.00% B:0.00%)  



52: 5/Off 2/Off 


1.  4ply  5/Off 2/Off  eq: +0.655 
 Player: Opponent:  84.95% (G:0.00% B:0.00%) 15.05% (G:0.00% B:0.00%)  

2.  4ply  6/4 5/Off  eq: +0.608 (0.047) 
 Player: Opponent:  83.01% (G:0.00% B:0.00%) 16.99% (G:0.00% B:0.00%)  

3.  4ply  6/1 2/Off  eq: +0.570 (0.085) 
 Player: Opponent:  81.39% (G:0.00% B:0.00%) 18.61% (G:0.00% B:0.00%)  

4.  4ply  5/Off 3/1  eq: +0.471 (0.183) 
 Player: Opponent:  77.22% (G:0.00% B:0.00%) 22.78% (G:0.00% B:0.00%)  

5.  4ply  6/4 6/1  eq: +0.443 (0.212) 
 Player: Opponent:  76.04% (G:0.00% B:0.00%) 23.96% (G:0.00% B:0.00%)  



65: 5/Off(2) 


1.  3ply  5/Off(2)  eq: 0.579 
 Player: Opponent:  18.56% (G:0.00% B:0.00%) 81.44% (G:0.00% B:0.00%)  



52: 6/1 2/Off 


1.  4ply  6/1 2/Off  eq: +0.468 
 Player: Opponent:  76.23% (G:0.00% B:0.00%) 23.77% (G:0.00% B:0.00%)  

2.  4ply  6/4 6/1  eq: +0.290 (0.178) 
 Player: Opponent:  68.30% (G:0.00% B:0.00%) 31.70% (G:0.00% B:0.00%)  

3.  4ply  6/1 3/1  eq: +0.271 (0.197) 
 Player: Opponent:  67.45% (G:0.00% B:0.00%) 32.55% (G:0.00% B:0.00%)  



52: 5/Off 2/Off 


1.  4ply  5/Off 2/Off  eq: 0.585 
 Player: Opponent:  19.09% (G:0.00% B:0.00%) 80.91% (G:0.00% B:0.00%)  

2.  4ply  5/Off 4/2  eq: 0.751 (0.167) 
 Player: Opponent:  10.89% (G:0.00% B:0.00%) 89.11% (G:0.00% B:0.00%)  

3.  4ply  5/3 5/Off  eq: 0.771 (0.186) 
 Player: Opponent:  10.01% (G:0.00% B:0.00%) 89.99% (G:0.00% B:0.00%)  

4.  4ply  5/Off 3/1  eq: 0.787 (0.202) 
 Player: Opponent:  9.33% (G:0.00% B:0.00%) 90.67% (G:0.00% B:0.00%)  



22: 6/Off 2/Off 


1.  4ply  6/Off 2/Off  eq: +0.787 
 Player: Opponent:  89.74% (G:0.00% B:0.00%) 10.26% (G:0.00% B:0.00%)  

2.  4ply  6/Off 3/1  eq: +0.377 (0.410) 
 Player: Opponent:  70.83% (G:0.00% B:0.00%) 29.17% (G:0.00% B:0.00%)  



55: 5/Off 4/Off(3) 


1.  3ply  5/Off 4/Off(3)  eq: +0.778 
 Player: Opponent:  84.21% (G:0.00% B:0.00%) 15.79% (G:0.00% B:0.00%)  



51: 3/Off 1/Off 


1.  4ply  3/Off 1/Off  eq: 1.000 
 Player: Opponent:  5.56% (G:0.00% B:0.00%) 94.44% (G:0.00% B:0.00%)  

2.  4ply  3/Off  eq: 1.000 
 Player: Opponent:  0.93% (G:0.00% B:0.00%) 99.07% (G:0.00% B:0.00%)  



Double/Pass 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.44% (G:0.00% B:0.00%) 
94.44% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
5.56% (G:0.00% B:0.00%) 
5.56% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.889 
+1.839 
Cubeful Equities 
No redouble:  +0.889 (0.111)  
Redouble/Take:  +1.839 (+0.839)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


Wins 2pts. 



