
51: 13/8 6/5 

1.  Book^{1}  24/23 13/8  eq: +0.018 
 Player: Opponent:  49.90% (G:13.12% B:0.49%) 50.10% (G:12.61% B:0.48%)  

2.  Book^{1}  13/8 6/5  eq: 0.004 (0.021) 
 Player: Opponent:  49.58% (G:13.18% B:0.52%) 50.42% (G:13.38% B:0.67%)  

3.  Book^{1}  24/18  eq: 0.033 (0.051) 
 Player: Opponent:  49.34% (G:11.61% B:0.48%) 50.66% (G:13.38% B:0.49%)  

4.  Book^{1}  13/7  eq: 0.068 (0.086) 
 Player: Opponent:  47.87% (G:13.15% B:0.60%) 52.13% (G:14.50% B:0.76%)  

5.  4ply  24/23 8/3  eq: 0.168 (0.185) 
 Player: Opponent:  45.70% (G:12.10% B:0.49%) 54.30% (G:15.95% B:0.76%)  


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




52: 24/22 13/8 

1.  XG Roller++  24/22 13/8  eq: 0.244 
 Player: Opponent:  44.79% (G:11.05% B:0.44%) 55.21% (G:16.01% B:0.57%)  

2.  XG Roller++  13/8 6/4  eq: 0.255 (0.011) 
 Player: Opponent:  44.56% (G:11.88% B:0.51%) 55.44% (G:16.72% B:0.88%)  

3.  XG Roller++  13/11 13/8  eq: 0.266 (0.021) 
 Player: Opponent:  44.29% (G:11.92% B:0.51%) 55.71% (G:16.73% B:0.83%)  

4.  XG Roller++  13/6  eq: 0.357 (0.113) 
 Player: Opponent:  42.10% (G:10.92% B:0.45%) 57.90% (G:17.48% B:0.87%)  

5.  XG Roller++  13/11 8/3  eq: 0.387 (0.142) 
 Player: Opponent:  41.89% (G:11.29% B:0.52%) 58.11% (G:18.95% B:1.23%)  




32: 24/22 8/5 

1.  XG Roller++  24/22 8/5  eq: +0.250 
 Player: Opponent:  55.52% (G:15.36% B:0.51%) 44.48% (G:10.73% B:0.39%)  

2.  XG Roller++  13/11 8/5  eq: +0.245 (0.005) 
 Player: Opponent:  55.02% (G:16.45% B:0.56%) 44.98% (G:11.14% B:0.55%)  

3.  XG Roller++  6/3* 5/3  eq: +0.190 (0.060) 
 Player: Opponent:  53.71% (G:15.68% B:0.65%) 46.29% (G:11.29% B:0.48%)  

4.  XG Roller++  8/6 8/5  eq: +0.157 (0.092) 
 Player: Opponent:  53.00% (G:15.56% B:0.49%) 47.00% (G:11.63% B:0.54%)  

5.  XG Roller++  8/5 6/4  eq: +0.133 (0.117) 
 Player: Opponent:  52.82% (G:14.64% B:0.53%) 47.18% (G:12.54% B:0.68%)  




11: 8/7(2) 6/5(2) 

1.  XG Roller++  8/7(2) 6/5(2)  eq: +0.109 
 Player: Opponent:  53.51% (G:13.41% B:0.60%) 46.49% (G:12.97% B:0.47%)  

2.  XG Roller++  24/22 6/5(2)  eq: 0.034 (0.144) 
 Player: Opponent:  48.87% (G:10.87% B:0.33%) 51.13% (G:10.39% B:0.32%)  

3.  4ply  24/21 22/21  eq: 0.147 (0.256) 
 Player: Opponent:  45.52% (G:8.00% B:0.20%) 54.48% (G:8.56% B:0.27%)  

4.  4ply  8/5 6/5  eq: 0.148 (0.257) 
 Player: Opponent:  46.70% (G:11.19% B:0.36%) 53.30% (G:14.23% B:0.50%)  

5.  4ply  24/22 8/7(2)  eq: 0.168 (0.278) 
 Player: Opponent:  45.12% (G:9.57% B:0.28%) 54.88% (G:10.82% B:0.33%)  




62: 13/5 

1.  XG Roller++  24/16  eq: 0.148 
 Player: Opponent:  47.21% (G:10.32% B:0.43%) 52.79% (G:15.79% B:0.52%)  

2.  XG Roller++  22/16 13/11  eq: 0.269 (0.121) 
 Player: Opponent:  43.53% (G:10.88% B:0.43%) 56.47% (G:16.76% B:0.79%)  

3.  XG Roller++  22/14  eq: 0.292 (0.144) 
 Player: Opponent:  42.75% (G:10.41% B:0.37%) 57.25% (G:15.75% B:0.58%)  

4.  XG Roller++  13/5  eq: 0.292 (0.145) 
 Player: Opponent:  41.97% (G:11.33% B:0.37%) 58.03% (G:14.76% B:0.62%)  

5.  4ply  22/16 8/6  eq: 0.329 (0.181) 
 Player: Opponent:  41.80% (G:9.87% B:0.33%) 58.20% (G:16.50% B:0.67%)  




63: 22/13 

1.  XG Roller++  22/13  eq: +0.177 
 Player: Opponent:  56.09% (G:11.52% B:0.44%) 43.91% (G:12.63% B:0.29%)  

2.  XG Roller++  22/16 13/10  eq: +0.132 (0.045) 
 Player: Opponent:  55.39% (G:13.67% B:0.65%) 44.61% (G:15.95% B:0.66%)  

3.  XG Roller++  24/15  eq: +0.116 (0.061) 
 Player: Opponent:  55.60% (G:11.45% B:0.54%) 44.40% (G:15.77% B:0.41%)  

4.  XG Roller++  13/7 6/3*  eq: +0.104 (0.073) 
 Player: Opponent:  53.63% (G:15.67% B:0.81%) 46.37% (G:15.65% B:0.81%)  

5.  XG Roller++  24/21 22/16  eq: +0.079 (0.098) 
 Player: Opponent:  54.63% (G:11.35% B:0.53%) 45.37% (G:15.90% B:0.48%)  




51: 22/21 13/8 

1.  XG Roller++  22/16  eq: 0.386 
 Player: Opponent:  39.68% (G:9.46% B:0.24%) 60.32% (G:14.26% B:0.55%)  

2.  XG Roller++  22/21 13/8  eq: 0.396 (0.010) 
 Player: Opponent:  38.82% (G:9.88% B:0.28%) 61.18% (G:13.59% B:0.56%)  

3.  XG Roller++  22/21 6/1*  eq: 0.419 (0.033) 
 Player: Opponent:  38.37% (G:10.40% B:0.19%) 61.63% (G:14.14% B:0.70%)  

4.  XG Roller++  24/23 13/8  eq: 0.424 (0.038) 
 Player: Opponent:  37.90% (G:9.80% B:0.26%) 62.10% (G:13.63% B:0.48%)  

5.  XG Roller++  13/8 6/5  eq: 0.439 (0.053) 
 Player: Opponent:  37.65% (G:9.80% B:0.26%) 62.35% (G:13.86% B:0.55%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.27% (G:13.56% B:0.59%) 
61.38% (G:13.53% B:0.59%) 
Opponent Winning Chances: 
38.73% (G:9.91% B:0.28%) 
38.62% (G:9.85% B:0.27%) 
Cubeless Equities 
+0.269 
+0.553 
Cubeful Equities 
No double:  +0.398  
Double/Take:  +0.232 (0.166)  
Double/Pass:  +1.000 (+0.602) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.8% 



41: 13/8 

1.  XG Roller++  13/8  eq: +0.189 
 Player: Opponent:  56.44% (G:10.53% B:0.40%) 43.56% (G:11.60% B:0.25%)  

2.  XG Roller++  13/9 6/5  eq: +0.050 (0.139) 
 Player: Opponent:  53.30% (G:10.78% B:0.44%) 46.70% (G:14.56% B:0.44%)  

3.  4ply  24/23 13/9  eq: 0.034 (0.223) 
 Player: Opponent:  51.58% (G:10.53% B:0.44%) 48.42% (G:16.57% B:0.46%)  

4.  4ply  8/7 8/4*  eq: 0.042 (0.231) 
 Player: Opponent:  50.43% (G:13.25% B:0.55%) 49.57% (G:17.10% B:0.59%)  

5.  4ply  24/23 8/4*  eq: 0.080 (0.269) 
 Player: Opponent:  50.07% (G:13.12% B:0.59%) 49.93% (G:18.99% B:0.81%)  




61: 13/7 8/7 

1.  XG Roller++  21/14  eq: 0.463 
 Player: Opponent:  37.56% (G:9.57% B:0.26%) 62.44% (G:15.74% B:0.59%)  

2.  XG Roller++  24/23 21/15  eq: 0.503 (0.040) 
 Player: Opponent:  37.22% (G:8.56% B:0.24%) 62.78% (G:16.68% B:0.52%)  

3.  XG Roller++  13/7 8/7  eq: 0.503 (0.040) 
 Player: Opponent:  36.37% (G:9.74% B:0.38%) 63.63% (G:16.47% B:0.84%)  

4.  XG Roller++  8/1*  eq: 0.509 (0.046) 
 Player: Opponent:  35.90% (G:9.92% B:0.17%) 64.10% (G:14.96% B:0.79%)  

5.  XG Roller++  21/15 6/5  eq: 0.516 (0.053) 
 Player: Opponent:  36.69% (G:9.01% B:0.24%) 63.31% (G:16.06% B:0.65%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
63.42% (G:17.11% B:0.93%) 
63.48% (G:17.13% B:0.93%) 
Opponent Winning Chances: 
36.58% (G:10.33% B:0.41%) 
36.52% (G:10.11% B:0.39%) 
Cubeless Equities 
+0.347 
+0.712 
Cubeful Equities 
No double:  +0.495  
Double/Take:  +0.406 (0.089)  
Double/Pass:  +1.000 (+0.505) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.1% 



31: 24/21 13/12* 

1.  XG Roller++  24/21 13/12*  eq: +0.641 
 Player: Opponent:  67.27% (G:15.05% B:0.82%) 32.73% (G:8.49% B:0.29%)  

2.  XG Roller++  13/12* 7/4*  eq: +0.539 (0.102) 
 Player: Opponent:  63.81% (G:20.93% B:1.32%) 36.19% (G:12.61% B:0.83%)  

3.  XG Roller++  13/12* 8/5  eq: +0.489 (0.151) 
 Player: Opponent:  62.54% (G:16.30% B:0.85%) 37.46% (G:9.12% B:0.33%)  

4.  4ply  13/10 13/12*  eq: +0.409 (0.232) 
 Player: Opponent:  61.17% (G:15.79% B:0.85%) 38.83% (G:11.32% B:0.54%)  

5.  4ply  13/12* 12/9  eq: +0.390 (0.250) 
 Player: Opponent:  60.60% (G:14.90% B:0.74%) 39.40% (G:10.73% B:0.41%)  




43: Bar/21 24/21 

1.  4ply  Bar/21 24/21  eq: 0.361 
 Player: Opponent:  37.98% (G:6.03% B:0.12%) 62.02% (G:5.47% B:0.16%)  

2.  4ply  Bar/22 8/4*  eq: 0.531 (0.170) 
 Player: Opponent:  35.25% (G:10.80% B:0.42%) 64.75% (G:18.87% B:1.35%)  

3.  4ply  Bar/21 6/3  eq: 0.554 (0.193) 
 Player: Opponent:  33.41% (G:6.39% B:0.15%) 66.59% (G:8.55% B:0.30%)  

4.  4ply  Bar/21 8/5  eq: 0.595 (0.235) 
 Player: Opponent:  32.40% (G:5.86% B:0.13%) 67.60% (G:8.40% B:0.32%)  

5.  4ply  Bar/21 7/4*  eq: 0.625 (0.264) 
 Player: Opponent:  32.41% (G:8.13% B:0.17%) 67.59% (G:14.40% B:0.60%)  




52: 21/16 8/6 

1.  XG Roller++  21/16 8/6  eq: +0.481 
 Player: Opponent:  64.30% (G:4.21% B:0.11%) 35.70% (G:4.03% B:0.07%)  

2.  XG Roller++  21/16 13/11  eq: +0.449 (0.032) 
 Player: Opponent:  63.77% (G:4.83% B:0.13%) 36.23% (G:5.77% B:0.15%)  

3.  XG Roller++  21/14  eq: +0.419 (0.062) 
 Player: Opponent:  62.84% (G:4.19% B:0.10%) 37.16% (G:4.72% B:0.08%)  

4.  XG Roller++  21/16 12/10  eq: +0.383 (0.097) 
 Player: Opponent:  62.09% (G:5.07% B:0.14%) 37.91% (G:7.41% B:0.16%)  

5.  3ply  21/16 7/5  eq: +0.108 (0.373) 
 Player: Opponent:  55.93% (G:5.47% B:0.18%) 44.07% (G:10.49% B:0.44%)  




21: 6/4 5/4 

1.  XG Roller++  6/4 5/4  eq: 0.681 
 Player: Opponent:  29.96% (G:1.92% B:0.04%) 70.04% (G:3.23% B:0.07%)  

2.  XG Roller++  8/7 6/4  eq: 0.694 (0.014) 
 Player: Opponent:  29.63% (G:1.67% B:0.04%) 70.37% (G:3.21% B:0.07%)  

3.  XG Roller++  6/3  eq: 0.699 (0.019) 
 Player: Opponent:  29.48% (G:1.92% B:0.05%) 70.52% (G:3.42% B:0.07%)  

4.  XG Roller++  6/5 6/4  eq: 0.700 (0.020) 
 Player: Opponent:  29.52% (G:1.75% B:0.04%) 70.48% (G:3.43% B:0.08%)  

5.  XG Roller++  8/7 5/3  eq: 0.703 (0.023) 
 Player: Opponent:  29.38% (G:1.87% B:0.04%) 70.62% (G:3.40% B:0.08%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
70.06% (G:3.34% B:0.07%) 
70.29% (G:3.24% B:0.07%) 
Opponent Winning Chances: 
29.94% (G:1.96% B:0.03%) 
29.71% (G:1.86% B:0.03%) 
Cubeless Equities 
+0.416 
+0.866 
Cubeful Equities 
No double:  +0.686  
Double/Take:  +0.639 (0.046)  
Double/Pass:  +1.000 (+0.314) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.4% 



31: 16/12 

1.  XG Roller++  16/12  eq: +0.561 
 Player: Opponent:  66.65% (G:3.13% B:0.06%) 33.35% (G:1.74% B:0.02%)  

2.  XG Roller++  13/12 6/3  eq: +0.537 (0.024) 
 Player: Opponent:  65.92% (G:4.28% B:0.13%) 34.08% (G:4.23% B:0.11%)  

3.  XG Roller++  12/8  eq: +0.530 (0.031) 
 Player: Opponent:  65.70% (G:3.52% B:0.08%) 34.30% (G:3.06% B:0.04%)  

4.  XG Roller++  16/13 12/11  eq: +0.422 (0.139) 
 Player: Opponent:  63.06% (G:3.42% B:0.08%) 36.94% (G:3.65% B:0.06%)  

5.  XG Roller++  12/11 6/3  eq: +0.413 (0.148) 
 Player: Opponent:  63.00% (G:4.22% B:0.12%) 37.00% (G:6.23% B:0.19%)  




64: 21/11 

1.  XG Roller++  21/11  eq: 0.454 
 Player: Opponent:  35.88% (G:1.64% B:0.05%) 64.12% (G:2.49% B:0.04%)  

2.  XG Roller++  8/2 7/3  eq: 0.572 (0.117) 
 Player: Opponent:  32.97% (G:2.14% B:0.04%) 67.03% (G:3.64% B:0.11%)  

3.  XG Roller++  8/4 8/2  eq: 0.575 (0.121) 
 Player: Opponent:  32.90% (G:1.95% B:0.04%) 67.10% (G:3.51% B:0.09%)  

4.  XG Roller++  8/2 6/2  eq: 0.576 (0.122) 
 Player: Opponent:  32.90% (G:2.06% B:0.03%) 67.10% (G:3.45% B:0.08%)  

5.  XG Roller++  7/3 7/1  eq: 0.589 (0.135) 
 Player: Opponent:  32.57% (G:1.96% B:0.03%) 67.43% (G:3.63% B:0.09%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.23% (G:2.79% B:0.07%) 
64.43% (G:2.64% B:0.06%) 
Opponent Winning Chances: 
35.77% (G:1.83% B:0.07%) 
35.57% (G:1.61% B:0.05%) 
Cubeless Equities 
+0.295 
+0.620 
Cubeful Equities 
No double:  +0.469  
Double/Take:  +0.346 (0.123)  
Double/Pass:  +1.000 (+0.531) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.8% 



32: 13/10 12/10 

1.  XG Roller++  13/10 12/10  eq: +0.462 
 Player: Opponent:  64.49% (G:3.38% B:0.05%) 35.51% (G:2.90% B:0.06%)  

2.  XG Roller++  13/8  eq: +0.343 (0.120) 
 Player: Opponent:  60.66% (G:2.76% B:0.04%) 39.34% (G:2.23% B:0.03%)  

3.  4ply  6/1  eq: +0.282 (0.180) 
 Player: Opponent:  59.34% (G:2.58% B:0.02%) 40.66% (G:2.53% B:0.02%)  

4.  4ply  13/11 6/3  eq: +0.224 (0.238) 
 Player: Opponent:  58.22% (G:3.29% B:0.09%) 41.78% (G:5.00% B:0.13%)  

5.  4ply  12/7  eq: +0.216 (0.246) 
 Player: Opponent:  57.55% (G:3.07% B:0.05%) 42.45% (G:3.73% B:0.06%)  




33: 11/5 7/4 6/3 

1.  XG Roller++  8/5 8/2 6/3  eq: 0.506 
 Player: Opponent:  34.38% (G:2.08% B:0.03%) 65.62% (G:3.85% B:0.18%)  

2.  XG Roller++  11/5 8/5 6/3  eq: 0.506 (0.001) 
 Player: Opponent:  34.23% (G:1.78% B:0.01%) 65.77% (G:3.24% B:0.06%)  

3.  XG Roller++  11/2 8/5  eq: 0.512 (0.006) 
 Player: Opponent:  34.13% (G:1.77% B:0.02%) 65.87% (G:3.35% B:0.06%)  

4.  XG Roller++  8/2(2)  eq: 0.513 (0.007) 
 Player: Opponent:  34.12% (G:1.85% B:0.01%) 65.88% (G:3.23% B:0.06%)  

5.  XG Roller++  11/2 6/3  eq: 0.513 (0.007) 
 Player: Opponent:  34.20% (G:1.91% B:0.02%) 65.80% (G:3.61% B:0.08%)  

6.  XG Roller++  11/5 7/4 6/3  eq: 0.519 (0.013) 
 Player: Opponent:  33.93% (G:1.91% B:0.02%) 66.07% (G:3.56% B:0.09%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
65.95% (G:3.74% B:0.10%) 
65.97% (G:3.74% B:0.10%) 
Opponent Winning Chances: 
34.05% (G:1.92% B:0.02%) 
34.03% (G:1.91% B:0.02%) 
Cubeless Equities 
+0.339 
+0.700 
Cubeful Equities 
No double:  +0.532  
Double/Take:  +0.437 (0.095)  
Double/Pass:  +1.000 (+0.468) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.4% 



21: 12/10 6/5 

1.  XG Roller++  12/10 6/5  eq: +0.453 
 Player: Opponent:  63.45% (G:3.84% B:0.04%) 36.55% (G:1.97% B:0.01%)  

2.  XG Roller++  6/3  eq: +0.427 (0.025) 
 Player: Opponent:  62.87% (G:4.52% B:0.11%) 37.13% (G:3.24% B:0.06%)  

3.  XG Roller++  13/11 12/11  eq: +0.426 (0.027) 
 Player: Opponent:  62.87% (G:4.44% B:0.10%) 37.13% (G:2.79% B:0.05%)  

4.  XG Roller++  13/12 13/11  eq: +0.420 (0.033) 
 Player: Opponent:  62.70% (G:4.43% B:0.09%) 37.30% (G:2.89% B:0.05%)  

5.  XG Roller++  13/10  eq: +0.410 (0.043) 
 Player: Opponent:  62.59% (G:5.11% B:0.17%) 37.41% (G:3.75% B:0.07%)  




65: 8/3 8/2 

1.  XG Roller++  8/3 7/1  eq: 0.494 
 Player: Opponent:  35.38% (G:2.33% B:0.01%) 64.62% (G:4.20% B:0.10%)  

2.  XG Roller++  8/3 8/2  eq: 0.497 (0.003) 
 Player: Opponent:  35.36% (G:2.31% B:0.02%) 64.64% (G:4.21% B:0.13%)  

3.  XG Roller++  8/2 7/2  eq: 0.508 (0.014) 
 Player: Opponent:  35.07% (G:2.20% B:0.01%) 64.93% (G:4.31% B:0.11%)  

4.  XG Roller++  7/1 6/1  eq: 0.545 (0.050) 
 Player: Opponent:  34.17% (G:1.67% B:0.01%) 65.83% (G:4.67% B:0.14%)  

5.  XG Roller++  8/2 6/1  eq: 0.561 (0.067) 
 Player: Opponent:  33.57% (G:2.79% B:0.04%) 66.43% (G:6.02% B:0.35%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.17% (G:4.14% B:0.12%) 
64.30% (G:4.12% B:0.12%) 
Opponent Winning Chances: 
35.83% (G:2.79% B:0.02%) 
35.70% (G:2.74% B:0.02%) 
Cubeless Equities 
+0.299 
+0.623 
Cubeful Equities 
No double:  +0.493  
Double/Take:  +0.378 (0.116)  
Double/Pass:  +1.000 (+0.507) 

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



64: 13/3 

1.  XG Roller++  13/3  eq: +0.466 
 Player: Opponent:  63.41% (G:4.11% B:0.13%) 36.59% (G:2.82% B:0.02%)  

2.  XG Roller++  13/7 10/6  eq: +0.455 (0.010) 
 Player: Opponent:  63.19% (G:4.09% B:0.13%) 36.81% (G:2.65% B:0.03%)  

3.  XG Roller++  13/7 6/2  eq: +0.383 (0.083) 
 Player: Opponent:  61.42% (G:4.42% B:0.14%) 38.58% (G:4.03% B:0.04%)  

4.  XG Roller++  13/7 5/1  eq: +0.324 (0.141) 
 Player: Opponent:  59.66% (G:3.95% B:0.11%) 40.34% (G:4.27% B:0.05%)  

5.  4ply  7/3 7/1  eq: +0.237 (0.229) 
 Player: Opponent:  57.63% (G:4.10% B:0.06%) 42.37% (G:4.08% B:0.03%)  




41: 7/2 

1.  XG Roller++  7/2  eq: 0.568 
 Player: Opponent:  33.32% (G:1.74% B:0.01%) 66.68% (G:3.40% B:0.06%)  

2.  XG Roller++  5/1 2/1  eq: 0.574 (0.005) 
 Player: Opponent:  33.39% (G:1.37% B:0.00%) 66.61% (G:3.64% B:0.07%)  

3.  XG Roller++  8/7 5/1  eq: 0.577 (0.008) 
 Player: Opponent:  33.30% (G:1.48% B:0.01%) 66.70% (G:3.86% B:0.08%)  

4.  XG Roller++  7/6 5/1  eq: 0.579 (0.010) 
 Player: Opponent:  33.21% (G:1.56% B:0.01%) 66.79% (G:3.78% B:0.11%)  

5.  XG Roller++  8/3  eq: 0.580 (0.012) 
 Player: Opponent:  33.10% (G:1.67% B:0.01%) 66.90% (G:3.73% B:0.09%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.69% (G:3.59% B:0.06%) 
66.80% (G:3.58% B:0.07%) 
Opponent Winning Chances: 
33.31% (G:1.83% B:0.01%) 
33.20% (G:1.85% B:0.01%) 
Cubeless Equities 
+0.353 
+0.731 
Cubeful Equities 
No double:  +0.586  
Double/Take:  +0.495 (0.092)  
Double/Pass:  +1.000 (+0.414) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.3% 



41: 13/9 10/9 

1.  XG Roller++  13/9 10/9  eq: +0.651 
 Player: Opponent:  68.76% (G:3.84% B:0.07%) 31.24% (G:1.42% B:0.01%)  

2.  XG Roller++  13/8  eq: +0.545 (0.106) 
 Player: Opponent:  65.88% (G:3.55% B:0.07%) 34.12% (G:2.20% B:0.02%)  

3.  4ply  13/12 10/6  eq: +0.405 (0.246) 
 Player: Opponent:  62.46% (G:3.74% B:0.03%) 37.54% (G:2.84% B:0.02%)  

4.  4ply  10/5  eq: +0.392 (0.259) 
 Player: Opponent:  62.05% (G:3.78% B:0.02%) 37.95% (G:2.88% B:0.01%)  

5.  4ply  6/2 3/2  eq: +0.387 (0.264) 
 Player: Opponent:  62.23% (G:3.41% B:0.03%) 37.77% (G:3.08% B:0.02%)  




53: 8/3 4/1 

1.  XG Roller++  6/1 4/1  eq: 0.646 
 Player: Opponent:  31.62% (G:1.69% B:0.01%) 68.38% (G:4.25% B:0.08%)  

2.  XG Roller++  8/3 4/1  eq: 0.650 (0.004) 
 Player: Opponent:  31.37% (G:1.75% B:0.01%) 68.63% (G:3.91% B:0.07%)  

3.  XG Roller++  6/1 5/2  eq: 0.666 (0.021) 
 Player: Opponent:  31.22% (G:1.59% B:0.01%) 68.78% (G:4.59% B:0.09%)  

4.  XG Roller++  6/3 6/1  eq: 0.670 (0.025) 
 Player: Opponent:  30.90% (G:1.44% B:0.01%) 69.10% (G:4.19% B:0.08%)  

5.  XG Roller++  8/3 5/2  eq: 0.677 (0.031) 
 Player: Opponent:  30.92% (G:1.60% B:0.01%) 69.08% (G:4.28% B:0.09%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.52% (G:4.03% B:0.08%) 
68.71% (G:4.08% B:0.08%) 
Opponent Winning Chances: 
31.48% (G:1.72% B:0.01%) 
31.29% (G:1.77% B:0.02%) 
Cubeless Equities 
+0.396 
+0.821 
Cubeful Equities 
No double:  +0.660  
Double/Take:  +0.609 (0.051)  
Double/Pass:  +1.000 (+0.340) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.6% 



61: 9/8 9/3 

1.  XG Roller++  9/8 9/3  eq: +0.657 
 Player: Opponent:  68.10% (G:4.01% B:0.08%) 31.90% (G:1.59% B:0.01%)  

2.  XG Roller++  8/7 8/2  eq: +0.500 (0.158) 
 Player: Opponent:  64.53% (G:3.53% B:0.07%) 35.47% (G:2.58% B:0.03%)  

3.  4ply  7/6 7/1  eq: +0.448 (0.210) 
 Player: Opponent:  63.93% (G:3.33% B:0.04%) 36.07% (G:1.75% B:0.01%)  

4.  3ply  10/3  eq: +0.163 (0.494) 
 Player: Opponent:  56.10% (G:4.30% B:0.16%) 43.90% (G:7.38% B:0.05%)  

5.  3ply  8/2 3/2  eq: +0.161 (0.496) 
 Player: Opponent:  56.19% (G:4.55% B:0.18%) 43.81% (G:8.83% B:0.06%)  




52: 6/1 3/1 

1.  XG Roller++  6/1 3/1  eq: 0.700 
 Player: Opponent:  30.64% (G:1.69% B:0.01%) 69.36% (G:4.86% B:0.10%)  

2.  XG Roller++  6/1 5/3  eq: 0.721 (0.021) 
 Player: Opponent:  30.24% (G:1.68% B:0.01%) 69.76% (G:5.17% B:0.11%)  

3.  XG Roller++  6/4 6/1  eq: 0.729 (0.029) 
 Player: Opponent:  29.63% (G:2.17% B:0.02%) 70.37% (G:4.79% B:0.09%)  

4.  XG Roller++  6/1 4/2  eq: 0.768 (0.068) 
 Player: Opponent:  29.23% (G:1.46% B:0.01%) 70.77% (G:5.91% B:0.14%)  

5.  3ply  21/14  eq: 1.000 (0.300) 
 Player: Opponent:  21.32% (G:2.68% B:0.02%) 78.68% (G:4.77% B:0.10%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
69.59% (G:4.89% B:0.10%) 
69.64% (G:5.07% B:0.11%) 
Opponent Winning Chances: 
30.41% (G:1.68% B:0.02%) 
30.36% (G:1.67% B:0.02%) 
Cubeless Equities 
+0.427 
+0.883 
Cubeful Equities 
No double:  +0.723  
Double/Take:  +0.676 (0.047)  
Double/Pass:  +1.000 (+0.277) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.6% 



41: 8/7 6/2 

1.  XG Roller++  8/7 6/2  eq: +0.729 
 Player: Opponent:  69.37% (G:5.18% B:0.10%) 30.63% (G:1.43% B:0.01%)  

2.  XG Roller++  8/3  eq: +0.689 (0.040) 
 Player: Opponent:  68.67% (G:5.12% B:0.10%) 31.33% (G:1.61% B:0.01%)  

3.  XG Roller++  8/7 5/1  eq: +0.674 (0.056) 
 Player: Opponent:  68.27% (G:5.15% B:0.10%) 31.73% (G:1.65% B:0.01%)  

4.  XG Roller++  6/1  eq: +0.637 (0.092) 
 Player: Opponent:  67.87% (G:4.85% B:0.09%) 32.13% (G:1.98% B:0.01%)  

5.  XG Roller++  6/2 3/2  eq: +0.603 (0.127) 
 Player: Opponent:  66.99% (G:4.65% B:0.10%) 33.01% (G:2.30% B:0.02%)  




62: 5/3 

1.  XG Roller++  5/3  eq: 0.734 
 Player: Opponent:  29.63% (G:1.35% B:0.01%) 70.37% (G:4.59% B:0.09%)  

2.  XG Roller++  6/4  eq: 0.745 (0.011) 
 Player: Opponent:  29.16% (G:1.40% B:0.01%) 70.84% (G:4.59% B:0.09%)  

3.  XG Roller++  4/2  eq: 0.798 (0.063) 
 Player: Opponent:  28.37% (G:1.24% B:0.01%) 71.63% (G:5.52% B:0.13%)  

4.  XG Roller++  3/1  eq: 0.810 (0.075) 
 Player: Opponent:  28.11% (G:1.14% B:0.01%) 71.89% (G:5.63% B:0.15%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
70.39% (G:4.66% B:0.09%) 
70.49% (G:4.73% B:0.09%) 
Opponent Winning Chances: 
29.61% (G:1.36% B:0.01%) 
29.51% (G:1.30% B:0.01%) 
Cubeless Equities 
+0.443 
+0.918 
Cubeful Equities 
No double:  +0.745  
Double/Take:  +0.714 (0.031)  
Double/Pass:  +1.000 (+0.255) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.9% 



51: 7/1 

1.  XG Roller++  7/1  eq: +0.713 
 Player: Opponent:  69.74% (G:5.43% B:0.10%) 30.26% (G:2.23% B:0.02%)  

2.  XG Roller++  7/2 3/2  eq: +0.595 (0.118) 
 Player: Opponent:  67.30% (G:4.44% B:0.09%) 32.70% (G:2.49% B:0.03%)  

3.  4ply  8/7 8/3  eq: +0.488 (0.225) 
 Player: Opponent:  64.60% (G:3.43% B:0.08%) 35.40% (G:1.22% B:0.01%)  

4.  4ply  7/6 7/2  eq: +0.434 (0.279) 
 Player: Opponent:  61.96% (G:6.19% B:0.21%) 38.04% (G:2.97% B:0.02%)  

5.  4ply  8/2  eq: +0.366 (0.347) 
 Player: Opponent:  60.14% (G:5.29% B:0.19%) 39.86% (G:2.90% B:0.01%)  




32: 6/1 

1.  XG Roller++  6/1  eq: 0.809 
 Player: Opponent:  27.86% (G:1.03% B:0.01%) 72.14% (G:4.96% B:0.08%)  

2.  XG Roller++  5/2 3/1  eq: 0.878 (0.069) 
 Player: Opponent:  26.71% (G:0.85% B:0.00%) 73.29% (G:5.86% B:0.14%)  

3.  XG Roller++  5/3 5/2  eq: 0.890 (0.081) 
 Player: Opponent:  26.35% (G:0.77% B:0.00%) 73.65% (G:5.85% B:0.12%)  

4.  XG Roller++  6/4 5/2  eq: 0.896 (0.087) 
 Player: Opponent:  26.30% (G:0.97% B:0.01%) 73.70% (G:6.27% B:0.13%)  

5.  XG Roller++  6/3 5/3  eq: 0.915 (0.106) 
 Player: Opponent:  25.99% (G:0.96% B:0.01%) 74.01% (G:6.63% B:0.15%)  




Double/Take 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
72.05% (G:4.98% B:0.09%) 
72.12% (G:4.98% B:0.09%) 
Opponent Winning Chances: 
27.95% (G:1.07% B:0.01%) 
27.88% (G:1.12% B:0.01%) 
Cubeless Equities 
+0.483 
+0.994 
Cubeful Equities 
No double:  +0.806  
Double/Take:  +0.794 (0.011)  
Double/Pass:  +1.000 (+0.194) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 5.3% 



43: 10/7 10/6 

1.  XG Roller++  10/7 10/6  eq: +0.282 
 Player: Opponent:  68.26% (G:4.38% B:0.07%) 31.74% (G:2.15% B:0.02%)  

2.  XG Roller++  6/3 6/2  eq: +0.173 (0.109) 
 Player: Opponent:  63.70% (G:3.07% B:0.05%) 36.30% (G:1.60% B:0.02%)  

3.  4ply  5/2 5/1  eq: +0.106 (0.176) 
 Player: Opponent:  61.99% (G:4.98% B:0.10%) 38.01% (G:3.79% B:0.02%)  

4.  4ply  8/1  eq: +0.061 (0.221) 
 Player: Opponent:  59.65% (G:5.32% B:0.10%) 40.35% (G:3.15% B:0.03%)  

5.  4ply  7/3 5/2  eq: +0.012 (0.270) 
 Player: Opponent:  58.06% (G:4.87% B:0.10%) 41.94% (G:3.80% B:0.04%)  




33: 5/2(2) 4/1(2) 

1.  3ply  5/2(2) 4/1(2)  eq: 0.486 
 Player: Opponent:  23.71% (G:0.16% B:0.00%) 76.29% (G:4.30% B:0.02%)  




31: 6/2 

1.  XG Roller++  7/6 5/2  eq: +0.442 
 Player: Opponent:  73.70% (G:6.10% B:0.10%) 26.30% (G:0.52% B:0.00%)  

2.  XG Roller++  7/3  eq: +0.416 (0.026) 
 Player: Opponent:  72.84% (G:6.31% B:0.13%) 27.16% (G:1.00% B:0.00%)  

3.  XG Roller++  6/2  eq: +0.405 (0.037) 
 Player: Opponent:  72.33% (G:5.75% B:0.10%) 27.67% (G:0.55% B:0.00%)  

4.  XG Roller++  5/1  eq: +0.404 (0.038) 
 Player: Opponent:  72.23% (G:5.57% B:0.10%) 27.77% (G:0.54% B:0.00%)  

5.  XG Roller++  6/3 2/1  eq: +0.321 (0.120) 
 Player: Opponent:  69.47% (G:4.23% B:0.07%) 30.53% (G:0.57% B:0.00%)  




63: 21/12 

1.  3ply  21/12  eq: 0.556 
 Player: Opponent:  22.16% (G:1.04% B:0.00%) 77.84% (G:8.78% B:0.18%)  




63: 7/1 7/4* 

1.  4ply  7/1 7/4*  eq: +0.630 
 Player: Opponent:  80.98% (G:8.95% B:0.20%) 19.02% (G:1.02% B:0.00%)  

2.  4ply  8/2 7/4*  eq: +0.403 (0.227) 
 Player: Opponent:  72.32% (G:8.65% B:0.20%) 27.68% (G:2.98% B:0.01%)  

3.  2ply  7/1 5/2  eq: 0.047 (0.677) 
 Player: Opponent:  54.29% (G:0.69% B:0.01%) 45.71% (G:0.10% B:0.00%)  

4.  2ply  8/5 8/2  eq: 0.132 (0.762) 
 Player: Opponent:  50.74% (G:0.26% B:0.00%) 49.26% (G:0.01% B:0.00%)  

5.  2ply  8/5 7/1  eq: 0.152 (0.782) 
 Player: Opponent:  49.99% (G:1.39% B:0.00%) 50.01% (G:0.10% B:0.00%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 0.952 
 Player: Opponent:  5.76% (G:0.03% B:0.00%) 94.24% (G:8.44% B:0.18%)  




44: 8/4(2) 7/3 5/1 

1.  XG Roller++  8/4 8/Off 7/3  eq: +1.065 
 Player: Opponent:  98.17% (G:10.41% B:0.09%) 1.83% (G:0.00% B:0.00%)  

2.  XG Roller++  8/4(2) 7/3 5/1  eq: +1.036 (0.030) 
 Player: Opponent:  98.23% (G:7.43% B:0.05%) 1.77% (G:0.00% B:0.00%)  

3.  4ply  8/4(2) 6/2(2)  eq: +0.870 (0.195) 
 Player: Opponent:  92.32% (G:4.78% B:0.02%) 7.68% (G:0.00% B:0.00%)  

4.  4ply  8/4 7/3 6/2(2)  eq: +0.865 (0.200) 
 Player: Opponent:  92.19% (G:4.55% B:0.02%) 7.81% (G:0.00% B:0.00%)  

5.  4ply  8/4 6/2(2) 5/1  eq: +0.757 (0.308) 
 Player: Opponent:  88.13% (G:3.46% B:0.01%) 11.87% (G:0.03% B:0.00%)  




41: Cannot Move 

1.  3ply  Cannot Move  eq: 1.034 
 Player: Opponent:  1.88% (G:0.00% B:0.00%) 98.12% (G:7.49% B:0.06%)  




55: 6/1(2) 5/Off(2) 

1.  3ply  6/1(2) 5/Off(2)  eq: +1.040 
 Player: Opponent:  99.10% (G:5.89% B:0.01%) 0.90% (G:0.00% B:0.00%)  




54: Bar/16 

1.  XG Roller++  Bar/16  eq: 0.995 
 Player: Opponent:  0.34% (G:0.00% B:0.00%) 99.66% (G:0.30% B:0.00%)  

2.  XG Roller++  Bar/20 12/8  eq: 0.999 (0.004) 
 Player: Opponent:  0.17% (G:0.00% B:0.00%) 99.83% (G:0.31% B:0.00%)  




21: 2/Off 1/Off 

1.  XG Roller++  2/Off 1/Off  eq: +0.990 
 Player: Opponent:  99.51% (G:0.08% B:0.00%) 0.49% (G:0.00% B:0.00%)  

2.  XG Roller++  4/2 1/Off  eq: +0.989 (0.001) 
 Player: Opponent:  99.47% (G:0.07% B:0.00%) 0.53% (G:0.00% B:0.00%)  

3.  XG Roller++  3/Off  eq: +0.984 (0.006) 
 Player: Opponent:  99.26% (G:0.07% B:0.00%) 0.74% (G:0.00% B:0.00%)  

4.  XG Roller++  4/3 2/Off  eq: +0.971 (0.019) 
 Player: Opponent:  98.71% (G:0.08% B:0.00%) 1.29% (G:0.00% B:0.00%)  

5.  XG Roller++  2/1 2/Off  eq: +0.953 (0.037) 
 Player: Opponent:  97.96% (G:0.06% B:0.00%) 2.04% (G:0.00% B:0.00%)  




21: 16/13 

1.  XG Roller++  16/15 12/10  eq: 1.004 
 Player: Opponent:  0.06% (G:0.00% B:0.00%) 99.94% (G:0.53% B:0.00%)  

2.  XG Roller++  16/13  eq: 1.004 
 Player: Opponent:  0.04% (G:0.00% B:0.00%) 99.96% (G:0.50% B:0.00%)  

3.  XG Roller++  16/14 12/11  eq: 1.004 (0.000) 
 Player: Opponent:  0.04% (G:0.00% B:0.00%) 99.96% (G:0.52% B:0.00%)  

4.  XG Roller++  12/9  eq: 1.005 (0.000) 
 Player: Opponent:  0.04% (G:0.00% B:0.00%) 99.96% (G:0.53% B:0.00%)  

5.  XG Roller++  12/10 3/2  eq: 1.008 (0.003) 
 Player: Opponent:  0.04% (G:0.00% B:0.00%) 99.96% (G:0.83% B:0.00%)  




21: 2/Off 1/Off 

1.  XG Roller++  2/Off 1/Off  eq: +0.999 
 Player: Opponent:  99.90% (G:0.16% B:0.00%) 0.10% (G:0.00% B:0.00%)  

2.  XG Roller++  4/2 1/Off  eq: +0.999 (0.001) 
 Player: Opponent:  99.89% (G:0.12% B:0.00%) 0.11% (G:0.00% B:0.00%)  

3.  XG Roller++  3/Off  eq: +0.997 (0.003) 
 Player: Opponent:  99.79% (G:0.14% B:0.00%) 0.21% (G:0.00% B:0.00%)  

4.  XG Roller++  4/3 2/Off  eq: +0.991 (0.008) 
 Player: Opponent:  99.55% (G:0.13% B:0.00%) 0.45% (G:0.00% B:0.00%)  

5.  XG Roller++  4/2 3/2  eq: +0.988 (0.011) 
 Player: Opponent:  99.48% (G:0.01% B:0.00%) 0.52% (G:0.00% B:0.00%)  




53: 13/5 

1.  XG Roller++  13/5  eq: 0.999 
 Player: Opponent:  0.05% (G:0.00% B:0.00%) 99.95% (G:0.01% B:0.00%)  

2.  XG Roller++  13/8 12/9  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  

3.  XG Roller++  13/10 12/7  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.05% B:0.00%)  

4.  XG Roller++  12/4  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.06% B:0.00%)  




31: 3/Off 1/Off 

1.  XG Roller++  3/Off 1/Off  eq: +0.999 
 Player: Opponent:  99.94% (G:0.00% B:0.00%) 0.06% (G:0.00% B:0.00%)  

2.  XG Roller++  3/2 3/Off  eq: +0.997 (0.002) 
 Player: Opponent:  99.86% (G:0.00% B:0.00%) 0.14% (G:0.00% B:0.00%)  

3.  XG Roller++  4/Off  eq: +0.995 (0.004) 
 Player: Opponent:  99.77% (G:0.00% B:0.00%) 0.23% (G:0.00% B:0.00%)  

4.  XG Roller++  4/1 3/2  eq: +0.992 (0.006) 
 Player: Opponent:  99.66% (G:0.00% B:0.00%) 0.34% (G:0.00% B:0.00%)  

5.  XG Roller++  4/3 4/1  eq: +0.985 (0.013) 
 Player: Opponent:  99.35% (G:0.00% B:0.00%) 0.65% (G:0.00% B:0.00%)  




61: 12/6 1/Off 

1.  XG Roller++  12/6 1/Off  eq: 0.999 
 Player: Opponent:  0.03% (G:0.00% B:0.00%) 99.97% (G:0.00% B:0.00%)  

2.  XG Roller++  12/6 5/4  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  

3.  XG Roller++  12/5  eq: 1.000 (0.001) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

4.  XG Roller++  12/6 3/2  eq: 1.000 (0.001) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

5.  XG Roller++  12/6 2/1  eq: 1.000 (0.001) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  




66: 4/Off(3) 3/Off 

1.  3ply  4/Off(3) 3/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  




66: 6/Off 5/Off 3/Off(2) 

1.  3ply  6/Off 5/Off 3/Off(2)  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  




66: 3/Off 1/Off(2) 

1.  3ply  3/Off 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 2pts. 


