
32: 24/21 13/11 

1.  Book^{1}  24/21 13/11  eq: +0.003 
 Player: Opponent:  50.17% (G:13.85% B:0.64%) 49.83% (G:13.33% B:0.57%)  

2.  Book^{1}  24/22 13/10  eq: 0.005 (0.007) 
 Player: Opponent:  49.89% (G:13.51% B:0.57%) 50.11% (G:12.98% B:0.50%)  

3.  Book^{1}  13/11 13/10  eq: 0.012 (0.015) 
 Player: Opponent:  49.72% (G:14.73% B:0.68%) 50.28% (G:13.92% B:0.74%)  

4.  Book^{1}  24/22 24/21  eq: 0.050 (0.053) 
 Player: Opponent:  49.23% (G:11.90% B:0.53%) 50.77% (G:13.25% B:0.46%)  

5.  XG Roller++  13/11 8/5  eq: 0.056 (0.059) 
 Player: Opponent:  48.94% (G:13.95% B:0.63%) 51.06% (G:14.58% B:0.87%)  


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




62: 13/7 6/4* 

1.  XG Roller++  24/18 6/4*  eq: 0.169 
 Player: Opponent:  46.67% (G:11.10% B:0.49%) 53.33% (G:16.59% B:0.80%)  

2.  XG Roller++  24/18 13/11  eq: 0.177 (0.008) 
 Player: Opponent:  46.22% (G:10.75% B:0.45%) 53.78% (G:15.80% B:0.69%)  

3.  XG Roller++  13/7 6/4*  eq: 0.178 (0.009) 
 Player: Opponent:  45.84% (G:12.32% B:0.53%) 54.16% (G:16.28% B:1.14%)  

4.  XG Roller++  24/16  eq: 0.212 (0.043) 
 Player: Opponent:  45.39% (G:9.66% B:0.35%) 54.61% (G:15.37% B:0.60%)  

5.  XG Roller++  24/22 13/7  eq: 0.234 (0.065) 
 Player: Opponent:  43.95% (G:11.00% B:0.41%) 56.05% (G:15.22% B:0.70%)  




61: Bar/18* 

1.  3ply  Bar/18*  eq: +0.172 
 Player: Opponent:  54.26% (G:15.96% B:1.22%) 45.74% (G:12.05% B:0.50%)  

2.  3ply  Bar/24 11/5  eq: 0.270 (0.441) 
 Player: Opponent:  44.11% (G:11.85% B:0.60%) 55.89% (G:17.22% B:0.97%)  

3.  3ply  Bar/24 13/7  eq: 0.283 (0.455) 
 Player: Opponent:  43.91% (G:12.00% B:0.66%) 56.09% (G:17.80% B:1.23%)  

4.  3ply  Bar/24 8/2  eq: 0.475 (0.646) 
 Player: Opponent:  39.67% (G:10.50% B:0.55%) 60.33% (G:20.01% B:1.49%)  




41: Bar/24 8/4 

1.  XG Roller++  Bar/24 8/4  eq: 0.228 
 Player: Opponent:  44.05% (G:12.48% B:0.46%) 55.95% (G:16.12% B:1.08%)  

2.  XG Roller++  Bar/21 8/7*  eq: 0.295 (0.067) 
 Player: Opponent:  44.13% (G:10.97% B:0.48%) 55.87% (G:19.55% B:1.72%)  

3.  XG Roller++  Bar/21 24/23  eq: 0.331 (0.103) 
 Player: Opponent:  42.43% (G:10.21% B:0.38%) 57.57% (G:17.90% B:1.08%)  

4.  XG Roller++  Bar/21 6/5  eq: 0.354 (0.126) 
 Player: Opponent:  42.77% (G:10.12% B:0.40%) 57.23% (G:19.49% B:1.76%)  

5.  XG Roller++  Bar/20  eq: 0.357 (0.128) 
 Player: Opponent:  42.03% (G:10.45% B:0.41%) 57.97% (G:18.09% B:1.35%)  




62: 24/18 13/11 

1.  XG Roller++  24/18 13/11  eq: +0.314 
 Player: Opponent:  58.17% (G:14.59% B:0.73%) 41.83% (G:10.42% B:0.33%)  

2.  XG Roller++  24/18 11/9  eq: +0.251 (0.063) 
 Player: Opponent:  56.53% (G:14.44% B:0.65%) 43.47% (G:10.70% B:0.35%)  

3.  4ply  24/18 6/4  eq: +0.119 (0.195) 
 Player: Opponent:  53.81% (G:12.93% B:0.54%) 46.19% (G:12.35% B:0.39%)  

4.  4ply  24/18 8/6  eq: +0.108 (0.206) 
 Player: Opponent:  53.26% (G:13.40% B:0.61%) 46.74% (G:12.25% B:0.36%)  

5.  4ply  18/10  eq: +0.073 (0.241) 
 Player: Opponent:  52.35% (G:14.61% B:0.90%) 47.65% (G:13.88% B:0.57%)  




52: 24/22 13/8 

1.  XG Roller++  24/22 13/8  eq: 0.369 
 Player: Opponent:  40.20% (G:9.72% B:0.28%) 59.80% (G:14.16% B:0.70%)  

2.  XG Roller++  24/22 8/3  eq: 0.477 (0.107) 
 Player: Opponent:  38.44% (G:9.78% B:0.30%) 61.56% (G:18.16% B:1.22%)  

3.  XG Roller++  13/6  eq: 0.497 (0.127) 
 Player: Opponent:  37.53% (G:9.50% B:0.28%) 62.47% (G:16.75% B:0.98%)  

4.  XG Roller++  13/8 6/4  eq: 0.503 (0.134) 
 Player: Opponent:  37.45% (G:9.14% B:0.29%) 62.55% (G:16.57% B:0.93%)  

5.  XG Roller++  13/11 13/8  eq: 0.506 (0.137) 
 Player: Opponent:  37.66% (G:9.66% B:0.32%) 62.34% (G:17.98% B:1.24%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.60% (G:14.56% B:0.74%) 
59.70% (G:14.54% B:0.75%) 
Opponent Winning Chances: 
40.40% (G:9.93% B:0.28%) 
40.30% (G:9.81% B:0.28%) 
Cubeless Equities 
+0.249 
+0.518 
Cubeful Equities 
No double:  +0.361  
Double/Take:  +0.180 (0.181)  
Double/Pass:  +1.000 (+0.639) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 18.1% 



51: 13/8 6/5 

1.  XG Roller++  13/8 6/5  eq: +0.094 
 Player: Opponent:  53.24% (G:11.91% B:0.48%) 46.76% (G:12.34% B:0.39%)  

2.  XG Roller++  13/8 11/10  eq: +0.053 (0.041) 
 Player: Opponent:  52.28% (G:11.93% B:0.49%) 47.72% (G:12.78% B:0.44%)  

3.  XG Roller++  11/10 11/6  eq: +0.037 (0.057) 
 Player: Opponent:  51.90% (G:11.55% B:0.43%) 48.10% (G:12.68% B:0.40%)  

4.  XG Roller++  8/3* 3/2  eq: +0.018 (0.076) 
 Player: Opponent:  51.39% (G:12.04% B:0.50%) 48.61% (G:13.57% B:0.44%)  

5.  XG Roller++  8/2  eq: +0.012 (0.082) 
 Player: Opponent:  51.20% (G:11.91% B:0.47%) 48.80% (G:13.46% B:0.44%)  




51: 13/8 6/5 

1.  XG Roller++  13/8 6/5  eq: 0.525 
 Player: Opponent:  37.02% (G:9.10% B:0.31%) 62.98% (G:16.95% B:1.02%)  

2.  XG Roller++  8/3 6/5  eq: 0.530 (0.005) 
 Player: Opponent:  37.40% (G:9.95% B:0.33%) 62.60% (G:18.99% B:1.40%)  

3.  XG Roller++  24/23 13/8  eq: 0.551 (0.026) 
 Player: Opponent:  36.31% (G:8.37% B:0.28%) 63.69% (G:17.03% B:0.76%)  

4.  XG Roller++  22/21 13/8  eq: 0.573 (0.048) 
 Player: Opponent:  35.74% (G:8.49% B:0.26%) 64.26% (G:16.78% B:0.99%)  

5.  XG Roller++  24/18  eq: 0.576 (0.051) 
 Player: Opponent:  36.36% (G:7.99% B:0.28%) 63.64% (G:18.92% B:0.86%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
62.86% (G:17.04% B:1.03%) 
62.75% (G:17.42% B:1.06%) 
Opponent Winning Chances: 
37.14% (G:9.09% B:0.32%) 
37.25% (G:9.14% B:0.32%) 
Cubeless Equities 
+0.352 
+0.724 
Cubeful Equities 
No double:  +0.528  
Double/Take:  +0.406 (0.122)  
Double/Pass:  +1.000 (+0.472) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.1% 



53: 8/5 8/3* 

1.  XG Roller++  8/5 8/3*  eq: +0.578 
 Player: Opponent:  63.22% (G:19.72% B:1.41%) 36.78% (G:9.67% B:0.39%)  

2.  XG Roller++  13/5  eq: +0.496 (0.083) 
 Player: Opponent:  62.63% (G:14.91% B:0.68%) 37.37% (G:8.17% B:0.28%)  

3.  XG Roller++  8/3* 6/3  eq: +0.422 (0.157) 
 Player: Opponent:  59.93% (G:17.66% B:1.24%) 40.07% (G:11.13% B:0.40%)  

4.  XG Roller++  18/13 8/5  eq: +0.420 (0.158) 
 Player: Opponent:  61.24% (G:13.87% B:0.87%) 38.76% (G:10.01% B:0.32%)  

5.  4ply  11/6 8/5  eq: +0.403 (0.176) 
 Player: Opponent:  60.73% (G:14.86% B:0.68%) 39.27% (G:9.16% B:0.31%)  




54: Bar/16 

1.  XG Roller++  Bar/21 8/3  eq: 0.748 
 Player: Opponent:  33.08% (G:8.53% B:0.34%) 66.92% (G:22.59% B:1.86%)  

2.  XG Roller++  Bar/16  eq: 0.829 (0.081) 
 Player: Opponent:  31.93% (G:7.04% B:0.28%) 68.07% (G:22.01% B:1.58%)  

3.  4ply  Bar/21 6/1  eq: 1.000 (0.252) 
 Player: Opponent:  28.22% (G:6.53% B:0.21%) 71.78% (G:25.43% B:2.21%)  

4.  4ply  Bar/21 13/8  eq: 1.000 (0.252) 
 Player: Opponent:  27.44% (G:5.97% B:0.28%) 72.56% (G:28.55% B:3.05%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.17% (G:21.97% B:1.60%) 
68.22% (G:22.07% B:1.61%) 
Opponent Winning Chances: 
31.83% (G:7.05% B:0.29%) 
31.78% (G:7.12% B:0.29%) 
Cubeless Equities 
+0.538 
+1.102 
Cubeful Equities 
No double:  +0.794 (0.033)  
Double/Take:  +0.827  
Double/Pass:  +1.000 (+0.173) 

Best Cube action: Double / Take 



54: 13/9* 8/3 

1.  4ply  13/9* 8/3  eq: +0.820 
 Player: Opponent:  68.06% (G:24.52% B:2.19%) 31.94% (G:7.18% B:0.32%)  

2.  4ply  13/8 13/9*  eq: +0.598 (0.222) 
 Player: Opponent:  63.17% (G:21.16% B:1.63%) 36.83% (G:9.45% B:0.34%)  

3.  4ply  8/4 8/3  eq: +0.596 (0.224) 
 Player: Opponent:  63.73% (G:20.54% B:1.23%) 36.27% (G:9.06% B:0.34%)  

4.  4ply  8/3 6/2  eq: +0.510 (0.311) 
 Player: Opponent:  61.89% (G:20.34% B:1.26%) 38.11% (G:10.25% B:0.40%)  

5.  3ply  13/9* 11/6  eq: +0.421 (0.400) 
 Player: Opponent:  59.44% (G:21.07% B:1.89%) 40.56% (G:12.45% B:0.81%)  




65: Cannot Move 

1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  27.46% (G:4.57% B:0.19%) 72.54% (G:28.04% B:2.77%)  




Double/Take 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
72.62% (G:27.82% B:2.62%) 
72.92% (G:28.01% B:2.73%) 
Opponent Winning Chances: 
27.38% (G:4.79% B:0.20%) 
27.08% (G:4.96% B:0.22%) 
Cubeless Equities 
+0.723 
+1.491 
Cubeful Equities 
No double:  +0.967 (0.033)  
Double/Take:  +1.244 (+0.244)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 



63: 11/8 11/5 

1.  XG Roller++  13/7 11/8  eq: +0.495 
 Player: Opponent:  69.18% (G:28.53% B:2.68%) 30.82% (G:6.60% B:0.30%)  

2.  XG Roller++  11/8 11/5  eq: +0.489 (0.006) 
 Player: Opponent:  69.14% (G:27.21% B:2.60%) 30.86% (G:5.93% B:0.25%)  

3.  XG Roller++  13/10 11/5  eq: +0.422 (0.073) 
 Player: Opponent:  67.03% (G:27.42% B:2.60%) 32.97% (G:7.44% B:0.39%)  

4.  XG Roller++  13/7 8/5  eq: +0.413 (0.083) 
 Player: Opponent:  66.80% (G:26.91% B:2.36%) 33.20% (G:7.11% B:0.29%)  

5.  XG Roller++  18/9  eq: +0.406 (0.089) 
 Player: Opponent:  66.75% (G:26.33% B:3.08%) 33.25% (G:7.38% B:0.40%)  




64: Bar/15 

1.  4ply  Bar/15  eq: 0.477 
 Player: Opponent:  30.46% (G:5.28% B:0.22%) 69.54% (G:24.60% B:2.23%)  

2.  4ply  Bar/21 8/2  eq: 0.640 (0.163) 
 Player: Opponent:  27.34% (G:5.91% B:0.30%) 72.66% (G:32.63% B:3.93%)  

3.  3ply  Bar/21 24/18  eq: 0.976 (0.499) 
 Player: Opponent:  22.67% (G:4.52% B:0.24%) 77.33% (G:53.07% B:4.11%)  




21: 13/10* 

1.  XG Roller++  6/4 5/4  eq: +0.542 
 Player: Opponent:  73.69% (G:20.98% B:1.38%) 26.31% (G:4.66% B:0.20%)  

2.  XG Roller++  13/10*  eq: +0.522 (0.020) 
 Player: Opponent:  69.95% (G:28.01% B:2.62%) 30.05% (G:5.47% B:0.24%)  

3.  XG Roller++  9/7 8/7  eq: +0.446 (0.096) 
 Player: Opponent:  70.21% (G:21.65% B:1.56%) 29.79% (G:6.47% B:0.28%)  

4.  4ply  9/8 6/4  eq: +0.333 (0.210) 
 Player: Opponent:  66.28% (G:21.37% B:1.46%) 33.72% (G:7.72% B:0.30%)  

5.  4ply  13/11 9/8  eq: +0.294 (0.248) 
 Player: Opponent:  65.50% (G:18.41% B:1.18%) 34.50% (G:6.76% B:0.21%)  




64: Bar/15* 

1.  3ply  Bar/15*  eq: 0.296 
 Player: Opponent:  36.66% (G:8.45% B:0.30%) 63.34% (G:25.00% B:2.47%)  

2.  3ply  Bar/21 8/2  eq: 0.688 (0.392) 
 Player: Opponent:  26.32% (G:4.54% B:0.19%) 73.68% (G:33.30% B:4.00%)  

3.  2ply  Bar/21 24/18  eq: 1.010 (0.714) 
 Player: Opponent:  22.17% (G:3.92% B:0.18%) 77.83% (G:54.43% B:4.59%)  




64: Cannot Move 

1.  3ply  Cannot Move  eq: 0.036 
 Player: Opponent:  54.67% (G:18.35% B:1.09%) 45.33% (G:12.41% B:0.41%)  




11: 15/14 13/12(2) 6/5 

1.  XG Roller++  24/23(2) 15/14 6/5  eq: +0.026 
 Player: Opponent:  43.65% (G:11.38% B:0.39%) 56.35% (G:14.49% B:0.54%)  

2.  XG Roller++  24/23 15/13 6/5  eq: +0.023 (0.003) 
 Player: Opponent:  44.90% (G:11.33% B:0.45%) 55.10% (G:18.11% B:0.51%)  

3.  XG Roller++  24/23 13/12(2) 6/5  eq: 0.003 (0.028) 
 Player: Opponent:  44.16% (G:11.05% B:0.44%) 55.84% (G:18.47% B:0.70%)  

4.  XG Roller++  15/12 6/5  eq: 0.007 (0.033) 
 Player: Opponent:  43.51% (G:11.65% B:0.47%) 56.49% (G:17.92% B:0.99%)  

5.  XG Roller++  15/14 13/12(2) 6/5  eq: 0.015 (0.041) 
 Player: Opponent:  43.19% (G:11.27% B:0.44%) 56.81% (G:17.34% B:0.98%)  




64: Cannot Move 

1.  3ply  Cannot Move  eq: 0.213 
 Player: Opponent:  49.73% (G:15.47% B:0.80%) 50.27% (G:14.45% B:0.53%)  




22: 12/10(2) 8/4 

1.  XG Roller++  14/12 8/6 8/4  eq: +0.084 
 Player: Opponent:  45.68% (G:13.54% B:0.46%) 54.32% (G:16.43% B:0.73%)  

2.  XG Roller++  12/10(2) 8/6(2)  eq: +0.064 (0.020) 
 Player: Opponent:  45.09% (G:13.63% B:0.44%) 54.91% (G:16.53% B:0.93%)  

3.  XG Roller++  14/6  eq: +0.062 (0.023) 
 Player: Opponent:  45.23% (G:13.02% B:0.47%) 54.77% (G:16.81% B:0.74%)  

4.  XG Roller++  14/10 8/6(2)  eq: +0.056 (0.028) 
 Player: Opponent:  44.87% (G:14.73% B:0.59%) 55.13% (G:17.83% B:1.14%)  

5.  XG Roller++  14/10 8/4  eq: +0.039 (0.046) 
 Player: Opponent:  44.45% (G:13.44% B:0.49%) 55.55% (G:17.36% B:0.92%)  

6.  XG Roller++  12/10(2) 8/4  eq: +0.038 (0.047) 
 Player: Opponent:  44.36% (G:12.67% B:0.44%) 55.64% (G:16.39% B:0.91%)  




53: Bar/22 9/4 

1.  XG Roller++  Bar/22 9/4  eq: 0.213 
 Player: Opponent:  50.99% (G:16.51% B:1.03%) 49.01% (G:17.75% B:0.76%)  

2.  XG Roller++  Bar/22 8/3  eq: 0.330 (0.117) 
 Player: Opponent:  47.13% (G:15.31% B:1.04%) 52.87% (G:19.10% B:0.96%)  

3.  3ply  Bar/22 18/13  eq: 0.682 (0.469) 
 Player: Opponent:  38.39% (G:13.05% B:1.17%) 61.61% (G:28.28% B:2.45%)  




61: 14/8 4/3* 

1.  XG Roller++  14/8 4/3*  eq: 0.002 
 Player: Opponent:  43.00% (G:15.75% B:0.74%) 57.00% (G:19.38% B:1.36%)  

2.  XG Roller++  24/18 4/3*  eq: 0.005 (0.003) 
 Player: Opponent:  46.00% (G:14.96% B:0.64%) 54.00% (G:26.23% B:1.98%)  

3.  XG Roller++  10/3*  eq: 0.055 (0.053) 
 Player: Opponent:  42.61% (G:16.89% B:0.83%) 57.39% (G:23.96% B:3.08%)  

4.  4ply  8/2 4/3*  eq: 0.168 (0.166) 
 Player: Opponent:  40.40% (G:14.79% B:0.64%) 59.60% (G:27.04% B:3.71%)  

5.  3ply  8/1  eq: 0.345 (0.343) 
 Player: Opponent:  32.33% (G:9.23% B:0.37%) 67.67% (G:21.01% B:1.37%)  




63: Bar/22* 22/16 

1.  3ply  Bar/22* 22/16  eq: +0.213 
 Player: Opponent:  62.35% (G:21.42% B:1.68%) 37.65% (G:10.18% B:0.44%)  

2.  3ply  Bar/22* 18/12  eq: 0.124 (0.337) 
 Player: Opponent:  52.00% (G:20.71% B:2.09%) 48.00% (G:17.19% B:1.29%)  

3.  3ply  Bar/22* 8/2  eq: 0.336 (0.549) 
 Player: Opponent:  47.09% (G:17.19% B:1.47%) 52.91% (G:22.29% B:1.71%)  




65: Cannot Move 

1.  3ply  Cannot Move  eq: 0.667 
 Player: Opponent:  25.06% (G:3.66% B:0.23%) 74.94% (G:28.42% B:2.44%)  




64: 16/10 8/4 

1.  XG Roller++  16/10 8/4  eq: +0.668 
 Player: Opponent:  74.17% (G:30.03% B:2.74%) 25.83% (G:3.57% B:0.22%)  

2.  XG Roller++  18/12 8/4  eq: +0.550 (0.117) 
 Player: Opponent:  70.32% (G:30.31% B:3.18%) 29.68% (G:5.76% B:0.49%)  

3.  XG Roller++  8/4 8/2  eq: +0.518 (0.150) 
 Player: Opponent:  70.07% (G:28.61% B:2.65%) 29.93% (G:6.65% B:0.35%)  

4.  4ply  8/2 6/2  eq: +0.362 (0.306) 
 Player: Opponent:  65.90% (G:26.64% B:2.37%) 34.10% (G:9.34% B:0.64%)  

5.  3ply  16/6  eq: +0.249 (0.419) 
 Player: Opponent:  62.69% (G:22.09% B:1.71%) 37.31% (G:8.19% B:0.33%)  




11: Bar/23 24/23(2) 

1.  4ply  Bar/23 24/23(2)  eq: 0.439 
 Player: Opponent:  29.52% (G:4.15% B:0.20%) 70.48% (G:18.48% B:0.61%)  

2.  4ply  Bar/23 24/23 4/3  eq: 0.614 (0.175) 
 Player: Opponent:  26.53% (G:4.04% B:0.20%) 73.47% (G:28.20% B:1.36%)  

3.  4ply  Bar/23 24/23 6/5  eq: 0.650 (0.212) 
 Player: Opponent:  24.60% (G:3.50% B:0.16%) 75.40% (G:26.65% B:1.12%)  

4.  4ply  Bar/23 24/23 5/4  eq: 0.657 (0.219) 
 Player: Opponent:  24.56% (G:3.54% B:0.16%) 75.44% (G:27.27% B:1.16%)  

5.  4ply  Bar/23 10/9(2)  eq: 0.664 (0.225) 
 Player: Opponent:  25.93% (G:3.59% B:0.16%) 74.07% (G:29.84% B:2.74%)  




21: 10/8 6/5 

1.  XG Roller++  10/8 5/4  eq: +0.554 
 Player: Opponent:  75.03% (G:18.17% B:0.74%) 24.97% (G:3.44% B:0.18%)  

2.  XG Roller++  10/8 6/5  eq: +0.545 (0.009) 
 Player: Opponent:  74.72% (G:18.08% B:0.73%) 25.28% (G:3.47% B:0.17%)  

3.  4ply  8/5  eq: +0.346 (0.208) 
 Player: Opponent:  67.48% (G:17.70% B:0.62%) 32.52% (G:5.33% B:0.31%)  

4.  4ply  10/9 8/6  eq: +0.331 (0.223) 
 Player: Opponent:  67.01% (G:17.41% B:0.62%) 32.99% (G:5.38% B:0.32%)  

5.  4ply  8/6 5/4  eq: +0.324 (0.230) 
 Player: Opponent:  66.71% (G:17.65% B:0.63%) 33.29% (G:5.57% B:0.34%)  




21: 8/5 

1.  XG Roller++  8/5  eq: 0.578 
 Player: Opponent:  24.21% (G:3.04% B:0.09%) 75.79% (G:18.31% B:0.72%)  

2.  XG Roller++  8/6 4/3  eq: 0.633 (0.055) 
 Player: Opponent:  23.50% (G:2.79% B:0.08%) 76.50% (G:21.56% B:1.11%)  

3.  XG Roller++  5/3 4/3  eq: 0.674 (0.096) 
 Player: Opponent:  21.95% (G:2.37% B:0.06%) 78.05% (G:21.52% B:1.05%)  

4.  XG Roller++  6/3  eq: 0.684 (0.106) 
 Player: Opponent:  21.27% (G:2.28% B:0.06%) 78.73% (G:20.76% B:0.99%)  

5.  XG Roller++  8/6 5/4  eq: 0.686 (0.108) 
 Player: Opponent:  20.08% (G:2.07% B:0.05%) 79.92% (G:17.97% B:0.72%)  




55: 18/8(2) 

1.  XG Roller++  18/8(2)  eq: +0.875 
 Player: Opponent:  86.82% (G:18.34% B:0.59%) 13.18% (G:0.28% B:0.01%)  

2.  XG Roller++  18/13 18/3  eq: +0.790 (0.085) 
 Player: Opponent:  83.07% (G:19.49% B:0.65%) 16.93% (G:0.82% B:0.03%)  

3.  XG Roller++  18/13 18/8 6/1  eq: +0.728 (0.147) 
 Player: Opponent:  80.71% (G:19.33% B:0.60%) 19.29% (G:1.14% B:0.05%)  

4.  XG Roller++  18/13(2) 8/3(2)  eq: +0.687 (0.188) 
 Player: Opponent:  76.49% (G:26.02% B:0.97%) 23.51% (G:1.74% B:0.08%)  

5.  3ply  18/13(2) 8/3 6/1  eq: +0.322 (0.554) 
 Player: Opponent:  66.11% (G:18.69% B:0.58%) 33.89% (G:5.14% B:0.21%)  




64: 10/6 10/4 

1.  XG Roller++  10/6 8/2  eq: 0.891 
 Player: Opponent:  12.19% (G:0.29% B:0.00%) 87.81% (G:17.52% B:0.63%)  

2.  XG Roller++  8/4 8/2  eq: 0.897 (0.006) 
 Player: Opponent:  12.24% (G:0.28% B:0.00%) 87.76% (G:18.18% B:0.66%)  

3.  XG Roller++  10/6 10/4  eq: 0.897 (0.006) 
 Player: Opponent:  11.94% (G:0.27% B:0.00%) 88.06% (G:17.56% B:0.61%)  

4.  XG Roller++  10/4 8/4  eq: 0.902 (0.011) 
 Player: Opponent:  11.92% (G:0.27% B:0.00%) 88.08% (G:18.01% B:0.64%)  

5.  XG Roller++  8/2 6/2  eq: 0.906 (0.015) 
 Player: Opponent:  12.01% (G:0.26% B:0.00%) 87.99% (G:18.50% B:0.66%)  




21: 8/6 5/4 

1.  XG Roller++  8/6 5/4  eq: +0.876 
 Player: Opponent:  88.08% (G:15.46% B:0.47%) 11.92% (G:0.23% B:0.01%)  

2.  XG Roller++  8/5  eq: +0.866 (0.010) 
 Player: Opponent:  87.55% (G:15.72% B:0.50%) 12.45% (G:0.29% B:0.01%)  

3.  XG Roller++  6/4 5/4  eq: +0.829 (0.047) 
 Player: Opponent:  86.77% (G:14.00% B:0.42%) 13.23% (G:0.34% B:0.01%)  

4.  XG Roller++  5/4 5/3  eq: +0.826 (0.050) 
 Player: Opponent:  86.63% (G:14.09% B:0.41%) 13.37% (G:0.33% B:0.01%)  

5.  XG Roller++  6/3  eq: +0.824 (0.051) 
 Player: Opponent:  86.49% (G:14.26% B:0.45%) 13.51% (G:0.39% B:0.01%)  




43: 6/2 5/2 

1.  XG Roller++  8/4 6/3  eq: 0.905 
 Player: Opponent:  11.20% (G:0.22% B:0.00%) 88.80% (G:16.60% B:0.54%)  

2.  XG Roller++  8/5 6/2  eq: 0.908 (0.002) 
 Player: Opponent:  10.99% (G:0.19% B:0.00%) 89.01% (G:16.31% B:0.52%)  

3.  XG Roller++  8/5 8/4  eq: 0.910 (0.004) 
 Player: Opponent:  10.85% (G:0.19% B:0.00%) 89.15% (G:16.19% B:0.52%)  

4.  XG Roller++  8/1  eq: 0.914 (0.008) 
 Player: Opponent:  10.92% (G:0.19% B:0.00%) 89.08% (G:16.71% B:0.58%)  

5.  XG Roller++  8/4 5/2  eq: 0.915 (0.009) 
 Player: Opponent:  10.76% (G:0.19% B:0.00%) 89.24% (G:16.48% B:0.53%)  

6.  XG Roller++  6/2 5/2  eq: 0.921 (0.015) 
 Player: Opponent:  10.63% (G:0.18% B:0.00%) 89.37% (G:16.72% B:0.54%)  




53: 8/3 6/3 

1.  XG Roller++  8/5 6/1  eq: +0.906 
 Player: Opponent:  88.50% (G:17.25% B:0.54%) 11.50% (G:0.19% B:0.01%)  

2.  XG Roller++  8/3 6/3  eq: +0.889 (0.017) 
 Player: Opponent:  88.00% (G:16.82% B:0.53%) 12.00% (G:0.27% B:0.01%)  

3.  XG Roller++  8/3 4/1  eq: +0.875 (0.031) 
 Player: Opponent:  87.49% (G:16.63% B:0.48%) 12.51% (G:0.20% B:0.01%)  

4.  XG Roller++  6/1 4/1  eq: +0.836 (0.070) 
 Player: Opponent:  86.51% (G:15.26% B:0.40%) 13.49% (G:0.26% B:0.01%)  

5.  XG Roller++  6/3 6/1  eq: +0.835 (0.071) 
 Player: Opponent:  86.41% (G:15.46% B:0.43%) 13.59% (G:0.36% B:0.01%)  




42: 8/6 8/4 

1.  XG Roller++  8/6 8/4  eq: 0.911 
 Player: Opponent:  11.65% (G:0.25% B:0.00%) 88.35% (G:18.17% B:0.59%)  

2.  XG Roller++  8/2  eq: 0.931 (0.020) 
 Player: Opponent:  11.41% (G:0.22% B:0.00%) 88.59% (G:19.49% B:0.65%)  

3.  XG Roller++  8/6 5/1  eq: 0.941 (0.030) 
 Player: Opponent:  10.94% (G:0.21% B:0.00%) 89.06% (G:19.41% B:0.68%)  

4.  XG Roller++  8/4 5/3  eq: 0.942 (0.032) 
 Player: Opponent:  11.02% (G:0.21% B:0.00%) 88.98% (G:19.68% B:0.66%)  

5.  XG Roller++  5/1 4/2  eq: 0.977 (0.066) 
 Player: Opponent:  10.39% (G:0.16% B:0.00%) 89.61% (G:21.43% B:0.75%)  




64: 5/1 

1.  4ply  5/1  eq: +0.841 
 Player: Opponent:  86.70% (G:15.40% B:0.38%) 13.30% (G:0.32% B:0.01%)  

2.  4ply  8/4  eq: +0.576 (0.265) 
 Player: Opponent:  76.09% (G:15.37% B:0.49%) 23.91% (G:1.16% B:0.04%)  




54: 23/14 

1.  XG Roller++  23/14  eq: 0.768 
 Player: Opponent:  14.09% (G:0.51% B:0.01%) 85.91% (G:10.36% B:0.22%)  

2.  XG Roller++  23/18 8/4  eq: 0.840 (0.072) 
 Player: Opponent:  13.44% (G:0.49% B:0.01%) 86.56% (G:15.85% B:0.46%)  

3.  XG Roller++  23/18 6/2  eq: 0.853 (0.084) 
 Player: Opponent:  13.58% (G:0.49% B:0.01%) 86.42% (G:17.34% B:0.53%)  

4.  XG Roller++  8/3 6/2  eq: 0.896 (0.128) 
 Player: Opponent:  12.15% (G:0.30% B:0.01%) 87.85% (G:18.03% B:0.51%)  

5.  XG Roller++  23/18 5/1  eq: 0.909 (0.141) 
 Player: Opponent:  12.58% (G:0.42% B:0.01%) 87.42% (G:20.32% B:0.81%)  




31: 6/5 4/1 

1.  XG Roller++  6/5 4/1  eq: +0.685 
 Player: Opponent:  83.27% (G:8.05% B:0.18%) 16.73% (G:0.54% B:0.02%)  

2.  XG Roller++  6/3 4/3  eq: +0.589 (0.096) 
 Player: Opponent:  79.92% (G:6.08% B:0.13%) 20.08% (G:1.00% B:0.03%)  

3.  XG Roller++  8/7 8/5  eq: +0.541 (0.144) 
 Player: Opponent:  76.66% (G:11.12% B:0.34%) 23.34% (G:1.45% B:0.06%)  

4.  4ply  8/4  eq: +0.436 (0.249) 
 Player: Opponent:  72.95% (G:9.93% B:0.29%) 27.05% (G:1.98% B:0.10%)  

5.  4ply  8/5 4/3  eq: +0.409 (0.276) 
 Player: Opponent:  71.89% (G:9.46% B:0.27%) 28.11% (G:1.62% B:0.08%)  




65: 14/3 

1.  XG Roller++  14/3  eq: 0.687 
 Player: Opponent:  16.13% (G:0.53% B:0.01%) 83.87% (G:7.04% B:0.13%)  

2.  XG Roller++  14/9 8/2  eq: 0.720 (0.033) 
 Player: Opponent:  14.79% (G:0.40% B:0.01%) 85.21% (G:7.42% B:0.10%)  

3.  XG Roller++  14/8 6/1  eq: 0.725 (0.039) 
 Player: Opponent:  14.77% (G:0.50% B:0.01%) 85.23% (G:7.90% B:0.12%)  

4.  XG Roller++  8/2 6/1  eq: 0.745 (0.058) 
 Player: Opponent:  14.15% (G:0.31% B:0.01%) 85.85% (G:8.40% B:0.13%)  

5.  4ply  23/12  eq: 0.914 (0.227) 
 Player: Opponent:  10.89% (G:0.57% B:0.01%) 89.11% (G:17.47% B:0.13%)  




62: 3/1 

1.  XG Roller++  3/1  eq: +0.679 
 Player: Opponent:  83.81% (G:5.52% B:0.09%) 16.19% (G:0.50% B:0.01%)  

2.  XG Roller++  5/3  eq: +0.627 (0.052) 
 Player: Opponent:  81.86% (G:4.77% B:0.08%) 18.14% (G:0.74% B:0.03%)  

3.  4ply  8/6  eq: +0.439 (0.240) 
 Player: Opponent:  72.77% (G:9.98% B:0.37%) 27.23% (G:1.21% B:0.05%)  

4.  3ply  6/4  eq: +0.239 (0.440) 
 Player: Opponent:  66.57% (G:5.71% B:0.15%) 33.43% (G:3.07% B:0.06%)  




54: 8/3 6/2 

1.  XG Roller++  8/3 6/2  eq: 0.674 
 Player: Opponent:  15.99% (G:0.55% B:0.01%) 84.01% (G:4.96% B:0.04%)  

2.  XG Roller++  8/3 5/1  eq: 0.739 (0.064) 
 Player: Opponent:  13.62% (G:0.33% B:0.01%) 86.38% (G:6.18% B:0.09%)  

3.  XG Roller++  8/4 6/1  eq: 0.744 (0.070) 
 Player: Opponent:  13.42% (G:0.35% B:0.01%) 86.58% (G:6.32% B:0.10%)  

4.  XG Roller++  6/1 5/1  eq: 0.770 (0.095) 
 Player: Opponent:  12.68% (G:0.20% B:0.00%) 87.32% (G:7.09% B:0.15%)  

5.  XG Roller++  23/14  eq: 0.811 (0.137) 
 Player: Opponent:  11.43% (G:0.77% B:0.02%) 88.57% (G:8.39% B:0.08%)  




21: 5/4 3/1 

1.  XG Roller++  6/5 6/4  eq: +0.678 
 Player: Opponent:  84.32% (G:4.28% B:0.06%) 15.68% (G:0.48% B:0.01%)  

2.  XG Roller++  5/4 3/1  eq: +0.668 (0.010) 
 Player: Opponent:  84.04% (G:4.18% B:0.05%) 15.96% (G:0.52% B:0.01%)  

3.  4ply  8/7 8/6  eq: +0.348 (0.330) 
 Player: Opponent:  70.51% (G:5.22% B:0.09%) 29.49% (G:1.02% B:0.04%)  

4.  3ply  8/6 5/4  eq: +0.262 (0.416) 
 Player: Opponent:  67.43% (G:4.85% B:0.07%) 32.57% (G:1.36% B:0.02%)  

5.  3ply  8/5  eq: +0.208 (0.470) 
 Player: Opponent:  65.11% (G:4.55% B:0.06%) 34.89% (G:1.54% B:0.02%)  




52: 23/16 

1.  XG Roller++  23/16  eq: 0.690 
 Player: Opponent:  15.11% (G:0.86% B:0.02%) 84.89% (G:4.23% B:0.01%)  

2.  XG Roller++  6/1 4/2  eq: 0.741 (0.050) 
 Player: Opponent:  13.10% (G:0.21% B:0.00%) 86.90% (G:5.31% B:0.07%)  

3.  XG Roller++  6/4 6/1  eq: 0.747 (0.056) 
 Player: Opponent:  12.62% (G:0.19% B:0.00%) 87.38% (G:4.89% B:0.05%)  

4.  XG Roller++  23/18 4/2  eq: 0.764 (0.073) 
 Player: Opponent:  14.46% (G:0.76% B:0.02%) 85.54% (G:10.53% B:0.12%)  

5.  XG Roller++  6/1 3/1  eq: 0.764 (0.073) 
 Player: Opponent:  12.44% (G:0.18% B:0.00%) 87.56% (G:6.01% B:0.09%)  




62: 8/2* 4/2 

1.  3ply  8/2* 4/2  eq: +0.895 
 Player: Opponent:  90.52% (G:11.33% B:0.05%) 9.48% (G:0.01% B:0.00%)  

2.  3ply  8/6 8/2*  eq: +0.250 (0.645) 
 Player: Opponent:  65.64% (G:6.95% B:0.05%) 34.36% (G:1.22% B:0.02%)  

3.  1ply  8/2* 6/4  eq: 0.474 (1.369) 
 Player: Opponent:  45.21% (G:3.60% B:0.04%) 54.79% (G:20.57% B:0.21%)  

4.  1ply  8/2* 5/3  eq: 0.541 (1.436) 
 Player: Opponent:  43.81% (G:3.67% B:0.04%) 56.19% (G:23.95% B:0.33%)  

5.  1ply  8/2* 3/1  eq: 0.567 (1.462) 
 Player: Opponent:  41.70% (G:2.75% B:0.03%) 58.30% (G:20.76% B:0.22%)  




41: Cannot Move 

1.  3ply  Cannot Move  eq: 0.895 
 Player: Opponent:  9.48% (G:0.01% B:0.00%) 90.52% (G:11.33% B:0.05%)  




52: 8/1 

1.  XG Roller++  8/1  eq: +1.007 
 Player: Opponent:  96.82% (G:7.97% B:0.02%) 3.18% (G:0.00% B:0.00%)  

2.  XG Roller++  6/4 6/1  eq: +0.882 (0.124) 
 Player: Opponent:  92.49% (G:5.86% B:0.01%) 7.51% (G:0.15% B:0.00%)  

3.  3ply  8/3 6/4  eq: +0.433 (0.574) 
 Player: Opponent:  72.16% (G:8.13% B:0.03%) 27.84% (G:0.81% B:0.01%)  

4.  3ply  8/6 5/Off  eq: +0.418 (0.588) 
 Player: Opponent:  71.69% (G:8.14% B:0.04%) 28.31% (G:0.00% B:0.00%)  

5.  2ply  8/3 5/3  eq: +0.332 (0.675) 
 Player: Opponent:  68.27% (G:5.84% B:0.02%) 31.73% (G:1.18% B:0.04%)  




55: Cannot Move 

1.  3ply  Cannot Move  eq: 1.015 
 Player: Opponent:  3.08% (G:0.00% B:0.00%) 96.92% (G:8.52% B:0.03%)  




42: 6/4 6/2 

1.  XG Roller++  6/4 6/2  eq: +0.986 
 Player: Opponent:  96.62% (G:6.60% B:0.01%) 3.38% (G:0.00% B:0.00%)  

2.  XG Roller++  5/3 5/1  eq: +0.926 (0.060) 
 Player: Opponent:  94.80% (G:4.69% B:0.01%) 5.20% (G:0.04% B:0.00%)  

3.  XG Roller++  4/2 4/Off  eq: +0.906 (0.080) 
 Player: Opponent:  93.28% (G:6.51% B:0.01%) 6.72% (G:0.00% B:0.00%)  

4.  3ply  6/Off  eq: +0.250 (0.736) 
 Player: Opponent:  64.63% (G:8.77% B:0.03%) 35.37% (G:0.00% B:0.00%)  

5.  2ply  6/2 5/3  eq: 0.139 (1.125) 
 Player: Opponent:  49.17% (G:3.75% B:0.01%) 50.83% (G:6.13% B:0.19%)  




52: Cannot Move 

1.  3ply  Cannot Move  eq: 0.988 
 Player: Opponent:  4.75% (G:0.00% B:0.00%) 95.25% (G:9.74% B:0.03%)  




42: 4/Off 2/Off 

1.  XG Roller++  4/Off 2/Off  eq: +1.093 
 Player: Opponent:  98.51% (G:12.49% B:0.02%) 1.49% (G:0.00% B:0.00%)  

2.  XG Roller++  5/3 5/1  eq: +0.991 (0.102) 
 Player: Opponent:  97.58% (G:4.78% B:0.00%) 2.42% (G:0.00% B:0.00%)  

3.  XG Roller++  4/2 4/Off  eq: +0.294 (0.799) 
 Player: Opponent:  67.67% (G:5.07% B:0.01%) 32.33% (G:0.00% B:0.00%)  

4.  2ply  5/3 4/Off  eq: +0.442 (0.651) 
 Player: Opponent:  72.81% (G:7.07% B:0.02%) 27.19% (G:0.00% B:0.00%)  

5.  2ply  5/1 2/Off  eq: +0.441 (0.652) 
 Player: Opponent:  72.88% (G:6.67% B:0.02%) 27.12% (G:0.00% B:0.00%)  




51: Cannot Move 

1.  3ply  Cannot Move  eq: 1.121 
 Player: Opponent:  2.41% (G:0.00% B:0.00%) 97.59% (G:17.29% B:0.04%)  




61: 5/4 5/Off 

1.  3ply  5/4 5/Off  eq: +1.015 
 Player: Opponent:  93.84% (G:15.79% B:0.03%) 6.16% (G:0.00% B:0.00%)  

2.  3ply  5/Off 1/Off  eq: +0.523 (0.492) 
 Player: Opponent:  72.96% (G:17.36% B:0.06%) 27.04% (G:0.00% B:0.00%)  

3.  2ply  5/Off 4/3  eq: +0.015 (1.000) 
 Player: Opponent:  53.76% (G:8.48% B:0.02%) 46.24% (G:0.00% B:0.00%)  

4.  2ply  5/Off 3/2  eq: 0.052 (1.067) 
 Player: Opponent:  50.86% (G:7.29% B:0.01%) 49.14% (G:0.00% B:0.00%)  

5.  2ply  5/Off 2/1  eq: 0.122 (1.137) 
 Player: Opponent:  48.01% (G:6.26% B:0.02%) 51.99% (G:0.00% B:0.00%)  




33: Cannot Move 

1.  3ply  Cannot Move  eq: 0.941 
 Player: Opponent:  14.28% (G:0.00% B:0.00%) 85.72% (G:27.12% B:0.09%)  




32: 3/1 3/Off 

1.  3ply  3/1 3/Off  eq: +1.022 
 Player: Opponent:  94.06% (G:15.95% B:0.02%) 5.94% (G:0.00% B:0.00%)  

2.  3ply  4/2 3/Off  eq: +0.529 (0.493) 
 Player: Opponent:  75.05% (G:13.86% B:0.02%) 24.95% (G:0.00% B:0.00%)  

3.  3ply  4/2 4/1  eq: +0.508 (0.515) 
 Player: Opponent:  74.90% (G:12.93% B:0.01%) 25.10% (G:0.00% B:0.00%)  

4.  3ply  4/1 2/Off  eq: +0.464 (0.558) 
 Player: Opponent:  73.46% (G:11.85% B:0.02%) 26.54% (G:0.00% B:0.00%)  

5.  3ply  4/1 3/1  eq: +0.422 (0.601) 
 Player: Opponent:  72.28% (G:9.81% B:0.00%) 27.72% (G:0.00% B:0.00%)  




42: Cannot Move 

1.  3ply  Cannot Move  eq: 0.941 
 Player: Opponent:  15.71% (G:0.00% B:0.00%) 84.29% (G:30.41% B:0.10%)  




63: 4/1 4/Off 

1.  3ply  4/1 4/Off  eq: +0.644 
 Player: Opponent:  75.37% (G:22.39% B:0.02%) 24.63% (G:0.00% B:0.00%)  




41: Bar/21* 4/3 

1.  XG Roller++  Bar/21* 2/1  eq: +0.644 
 Player: Opponent:  68.44% (G:0.00% B:0.00%) 31.56% (G:4.74% B:0.03%)  

2.  XG Roller++  Bar/21* 4/3  eq: +0.636 (0.009) 
 Player: Opponent:  67.44% (G:0.00% B:0.00%) 32.56% (G:2.19% B:0.02%)  

3.  XG Roller++  Bar/21* 21/20  eq: +0.571 (0.073) 
 Player: Opponent:  64.97% (G:0.00% B:0.00%) 35.03% (G:2.25% B:0.01%)  

4.  XG Roller++  Bar/21* 16/15  eq: +0.571 (0.074) 
 Player: Opponent:  65.08% (G:0.00% B:0.00%) 34.92% (G:2.50% B:0.02%)  

5.  2ply  Bar/21* 3/2  eq: 0.101 (0.745) 
 Player: Opponent:  42.26% (G:0.00% B:0.00%) 57.74% (G:10.77% B:0.09%)  




53: Cannot Move 

1.  3ply  Cannot Move  eq: 0.676 
 Player: Opponent:  30.00% (G:1.56% B:0.01%) 70.00% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
70.01% (G:0.00% B:0.00%) 
70.02% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
29.99% (G:2.29% B:0.02%) 
29.98% (G:2.32% B:0.02%) 
Cubeless Equities 
+0.376 
+0.789 
Cubeful Equities 
No redouble:  +0.715  
Redouble/Take:  +0.609 (0.106)  
Redouble/Pass:  +1.000 (+0.285) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 21.3% 



63: 21/15 16/13 

1.  XG Roller++  16/10 4/1  eq: +0.665 
 Player: Opponent:  68.88% (G:0.00% B:0.00%) 31.12% (G:3.00% B:0.03%)  

2.  XG Roller++  21/15 4/1  eq: +0.659 (0.007) 
 Player: Opponent:  68.59% (G:0.00% B:0.00%) 31.41% (G:3.24% B:0.02%)  

3.  XG Roller++  16/7  eq: +0.653 (0.012) 
 Player: Opponent:  68.29% (G:0.00% B:0.00%) 31.71% (G:1.95% B:0.01%)  

4.  XG Roller++  21/12  eq: +0.653 (0.012) 
 Player: Opponent:  67.54% (G:0.00% B:0.00%) 32.46% (G:1.22% B:0.01%)  

5.  XG Roller++  21/18 16/10  eq: +0.652 (0.014) 
 Player: Opponent:  67.49% (G:0.00% B:0.00%) 32.51% (G:1.07% B:0.01%)  

6.  XG Roller++  21/15 16/13  eq: +0.647 (0.018) 
 Player: Opponent:  67.55% (G:0.00% B:0.00%) 32.45% (G:1.68% B:0.02%)  




64: Cannot Move 

1.  3ply  Cannot Move  eq: 0.664 
 Player: Opponent:  30.31% (G:1.18% B:0.01%) 69.69% (G:0.00% B:0.00%)  




Double/Take 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
69.44% (G:0.00% B:0.00%) 
69.51% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
30.56% (G:1.65% B:0.02%) 
30.49% (G:1.61% B:0.02%) 
Cubeless Equities 
+0.371 
+0.782 
Cubeful Equities 
No redouble:  +0.714  
Redouble/Take:  +0.596 (0.118)  
Redouble/Pass:  +1.000 (+0.286) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 22.6% 



41: 15/11 13/12 

1.  XG Roller++  15/11 2/1  eq: +0.290 
 Player: Opponent:  70.06% (G:0.00% B:0.00%) 29.94% (G:2.76% B:0.04%)  

2.  XG Roller++  15/11 13/12  eq: +0.258 (0.032) 
 Player: Opponent:  68.23% (G:0.00% B:0.00%) 31.77% (G:0.74% B:0.01%)  

3.  XG Roller++  15/10  eq: +0.255 (0.035) 
 Player: Opponent:  68.25% (G:0.00% B:0.00%) 31.75% (G:1.23% B:0.01%)  

4.  XG Roller++  13/9 2/1  eq: +0.247 (0.043) 
 Player: Opponent:  68.12% (G:0.00% B:0.00%) 31.88% (G:2.53% B:0.03%)  

5.  XG Roller++  13/8  eq: +0.204 (0.086) 
 Player: Opponent:  65.80% (G:0.00% B:0.00%) 34.20% (G:0.58% B:0.01%)  




11: Bar/24 2/1(2) 

1.  3ply  Bar/24 2/1(2)  eq: 0.296 
 Player: Opponent:  29.90% (G:0.94% B:0.01%) 70.10% (G:0.00% B:0.00%)  




31: 4/1* 2/1 

1.  XG Roller++  4/1* 2/1  eq: +0.432 
 Player: Opponent:  75.66% (G:0.00% B:0.00%) 24.34% (G:0.00% B:0.00%)  

2.  XG Roller++  12/9 2/1*  eq: +0.300 (0.132) 
 Player: Opponent:  70.22% (G:0.00% B:0.00%) 29.78% (G:2.03% B:0.02%)  

3.  XG Roller++  11/10 4/1*  eq: +0.292 (0.140) 
 Player: Opponent:  69.96% (G:0.00% B:0.00%) 30.04% (G:1.73% B:0.01%)  

4.  XG Roller++  11/8 2/1*  eq: +0.292 (0.141) 
 Player: Opponent:  69.99% (G:0.00% B:0.00%) 30.01% (G:2.12% B:0.03%)  

5.  XG Roller++  12/11 4/1*  eq: +0.275 (0.158) 
 Player: Opponent:  69.15% (G:0.00% B:0.00%) 30.85% (G:1.77% B:0.01%)  




61: Cannot Move 

1.  3ply  Cannot Move  eq: 0.423 
 Player: Opponent:  24.53% (G:0.01% B:0.00%) 75.47% (G:0.00% B:0.00%)  




61: 12/5 

1.  XG Roller++  12/6 11/10  eq: +0.460 
 Player: Opponent:  76.60% (G:0.00% B:0.00%) 23.40% (G:0.00% B:0.00%)  

2.  XG Roller++  12/5  eq: +0.438 (0.022) 
 Player: Opponent:  75.55% (G:0.00% B:0.00%) 24.45% (G:0.00% B:0.00%)  

3.  XG Roller++  11/4  eq: +0.420 (0.040) 
 Player: Opponent:  74.77% (G:0.00% B:0.00%) 25.23% (G:0.00% B:0.00%)  

4.  XG Roller++  12/6 3/2  eq: +0.419 (0.040) 
 Player: Opponent:  74.82% (G:0.00% B:0.00%) 25.18% (G:0.00% B:0.00%)  

5.  XG Roller++  11/5 3/2  eq: +0.417 (0.043) 
 Player: Opponent:  74.70% (G:0.00% B:0.00%) 25.30% (G:0.00% B:0.00%)  




62: Cannot Move 

1.  3ply  Cannot Move  eq: 0.434 
 Player: Opponent:  24.10% (G:0.00% B:0.00%) 75.90% (G:0.00% B:0.00%)  




63: 11/5 3/Off 

1.  XG Roller++  11/5 3/Off  eq: +0.488 
 Player: Opponent:  77.56% (G:0.00% B:0.00%) 22.44% (G:0.00% B:0.00%)  

2.  XG Roller++  11/2  eq: +0.382 (0.106) 
 Player: Opponent:  72.99% (G:0.00% B:0.00%) 27.01% (G:0.00% B:0.00%)  

3.  3ply  11/5 6/3  eq: 0.161 (0.648) 
 Player: Opponent:  50.42% (G:0.00% B:0.00%) 49.58% (G:0.30% B:0.00%)  

4.  2ply  11/5 4/1  eq: 0.157 (0.645) 
 Player: Opponent:  50.10% (G:0.00% B:0.00%) 49.90% (G:0.58% B:0.00%)  




22: Cannot Move 

1.  3ply  Cannot Move  eq: 0.490 
 Player: Opponent:  21.96% (G:0.00% B:0.00%) 78.04% (G:0.00% B:0.00%)  




32: 5/Off 

1.  XG Roller++  5/Off  eq: +0.522 
 Player: Opponent:  79.18% (G:0.00% B:0.00%) 20.82% (G:0.00% B:0.00%)  

2.  XG Roller++  5/3 5/2  eq: +0.463 (0.059) 
 Player: Opponent:  76.55% (G:0.00% B:0.00%) 23.45% (G:0.00% B:0.00%)  

3.  4ply  3/1 3/Off  eq: +0.229 (0.293) 
 Player: Opponent:  66.45% (G:0.00% B:0.00%) 33.55% (G:0.00% B:0.00%)  

4.  3ply  6/4 6/3  eq: +0.193 (0.330) 
 Player: Opponent:  65.05% (G:0.00% B:0.00%) 34.95% (G:0.00% B:0.00%)  

5.  3ply  6/4 5/2  eq: +0.032 (0.490) 
 Player: Opponent:  59.24% (G:0.00% B:0.00%) 40.76% (G:0.00% B:0.00%)  




51: Cannot Move 

1.  3ply  Cannot Move  eq: 0.530 
 Player: Opponent:  20.39% (G:0.00% B:0.00%) 79.61% (G:0.00% B:0.00%)  




63: 6/3 6/Off 

1.  3ply  6/3 6/Off  eq: +0.564 
 Player: Opponent:  81.03% (G:0.00% B:0.00%) 18.97% (G:0.00% B:0.00%)  

2.  3ply  6/Off 5/2  eq: +0.192 (0.372) 
 Player: Opponent:  65.73% (G:0.00% B:0.00%) 34.27% (G:0.00% B:0.00%)  

3.  2ply  6/Off 3/Off  eq: 0.107 (0.671) 
 Player: Opponent:  52.38% (G:0.00% B:0.00%) 47.62% (G:0.00% B:0.00%)  

4.  2ply  6/Off 4/1  eq: 0.184 (0.749) 
 Player: Opponent:  48.83% (G:0.00% B:0.00%) 51.17% (G:0.00% B:0.00%)  




55: Cannot Move 

1.  3ply  Cannot Move  eq: 0.699 
 Player: Opponent:  12.96% (G:0.00% B:0.00%) 87.04% (G:0.00% B:0.00%)  




21: 5/2 

1.  XG Roller++  5/2  eq: +0.656 
 Player: Opponent:  85.15% (G:0.00% B:0.00%) 14.85% (G:0.00% B:0.00%)  

2.  XG Roller++  5/4 3/1  eq: +0.618 (0.038) 
 Player: Opponent:  83.45% (G:0.00% B:0.00%) 16.55% (G:0.00% B:0.00%)  

3.  XG Roller++  3/Off  eq: +0.597 (0.059) 
 Player: Opponent:  82.52% (G:0.00% B:0.00%) 17.48% (G:0.00% B:0.00%)  

4.  XG Roller++  2/1 2/Off  eq: +0.587 (0.070) 
 Player: Opponent:  81.98% (G:0.00% B:0.00%) 18.02% (G:0.00% B:0.00%)  

5.  4ply  4/3 4/2  eq: +0.443 (0.214) 
 Player: Opponent:  75.46% (G:0.00% B:0.00%) 24.54% (G:0.00% B:0.00%)  




32: Cannot Move 

1.  3ply  Cannot Move  eq: 0.788 
 Player: Opponent:  9.24% (G:0.00% B:0.00%) 90.76% (G:0.00% B:0.00%)  




51: 5/4 5/Off 

1.  3ply  5/4 5/Off  eq: +0.743 
 Player: Opponent:  88.94% (G:0.00% B:0.00%) 11.06% (G:0.00% B:0.00%)  

2.  3ply  5/Off 2/1  eq: +0.371 (0.373) 
 Player: Opponent:  73.16% (G:0.00% B:0.00%) 26.84% (G:0.00% B:0.00%)  

3.  3ply  5/Off 3/2  eq: +0.329 (0.414) 
 Player: Opponent:  71.43% (G:0.00% B:0.00%) 28.57% (G:0.00% B:0.00%)  

4.  2ply  5/Off 1/Off  eq: +0.060 (0.683) 
 Player: Opponent:  59.96% (G:0.00% B:0.00%) 40.04% (G:0.00% B:0.00%)  

5.  2ply  5/Off 4/3  eq: 0.067 (0.811) 
 Player: Opponent:  54.24% (G:0.00% B:0.00%) 45.76% (G:0.00% B:0.00%)  




41: Cannot Move 

1.  3ply  Cannot Move  eq: 0.869 
 Player: Opponent:  5.64% (G:0.00% B:0.00%) 94.36% (G:0.00% B:0.00%)  




55: 4/Off(3) 3/Off 

1.  3ply  4/Off(3) 3/Off  eq: +0.992 
 Player: Opponent:  99.64% (G:0.00% B:0.00%) 0.36% (G:0.00% B:0.00%)  




33: Cannot Move 

1.  3ply  Cannot Move  eq: 0.992 
 Player: Opponent:  0.35% (G:0.00% B:0.00%) 99.65% (G:0.00% B:0.00%)  




62: 3/1 3/Off 

1.  XG Roller++  3/1 3/Off  eq: +0.997 
 Player: Opponent:  99.88% (G:0.00% B:0.00%) 0.12% (G:0.00% B:0.00%)  

2.  XG Roller++  3/Off 2/Off  eq: +0.923 (0.074) 
 Player: Opponent:  96.63% (G:0.00% B:0.00%) 3.37% (G:0.00% B:0.00%)  




31: Bar/21 

1.  3ply  Bar/21  eq: 0.999 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:0.00% B:0.00%)  




43: 2/Off(2) 

1.  3ply  2/Off(2)  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  




52: 21/14 

1.  3ply  21/14  eq: 1.000 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  




21: 2/Off 1/Off 

1.  XG Roller++  2/Off 1/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  XG Roller++  2/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  




54: 14/5 

1.  3ply  14/5  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  




54: 1/Off(2) 

1.  3ply  1/Off(2)  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  




Wins a Single Game 4pts. 


