
63: 24/18 13/10 

1.  Book^{1}  24/18 13/10  eq: 0.038 
 Player: Opponent:  50.23% (G:12.70% B:0.56%) 49.77% (G:13.11% B:0.54%)  

2.  Book^{1}  24/15  eq: 0.051 (0.013) 
 Player: Opponent:  50.36% (G:11.59% B:0.49%) 49.64% (G:13.06% B:0.46%)  

3.  Book^{1}  13/4  eq: 0.106 (0.067) 
 Player: Opponent:  48.47% (G:13.67% B:0.67%) 51.53% (G:14.19% B:0.74%)  

4.  Book^{1}  24/21 13/7  eq: 0.106 (0.068) 
 Player: Opponent:  48.49% (G:13.01% B:0.58%) 51.51% (G:13.80% B:0.60%)  

5.  Book^{1}  24/21 24/18  eq: 0.129 (0.091) 
 Player: Opponent:  48.74% (G:11.23% B:0.51%) 51.26% (G:14.70% B:0.50%)  


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




43: 24/21 13/9 

1.  XG Roller++  24/21 13/9  eq: 0.216 
 Player: Opponent:  43.74% (G:10.45% B:0.40%) 56.26% (G:15.15% B:0.71%)  

2.  XG Roller++  24/20 13/10  eq: 0.222 (0.006) 
 Player: Opponent:  43.75% (G:9.76% B:0.35%) 56.25% (G:14.95% B:0.74%)  

3.  XG Roller++  24/21 24/20  eq: 0.253 (0.037) 
 Player: Opponent:  42.97% (G:9.73% B:0.39%) 57.03% (G:15.50% B:0.59%)  

4.  XG Roller++  8/1*  eq: 0.276 (0.061) 
 Player: Opponent:  41.74% (G:11.08% B:0.32%) 58.26% (G:15.67% B:0.91%)  

5.  XG Roller++  13/6  eq: 0.278 (0.062) 
 Player: Opponent:  41.98% (G:10.13% B:0.32%) 58.02% (G:15.40% B:0.74%)  




32: 18/16* 13/10 

1.  4ply  18/16* 13/10  eq: +0.307 
 Player: Opponent:  59.04% (G:15.63% B:0.79%) 40.96% (G:9.78% B:0.36%)  

2.  4ply  18/16* 16/13  eq: +0.136 (0.171) 
 Player: Opponent:  54.86% (G:13.35% B:0.55%) 45.14% (G:11.09% B:0.39%)  

3.  4ply  24/21 18/16*  eq: +0.120 (0.187) 
 Player: Opponent:  54.41% (G:13.95% B:0.67%) 45.59% (G:11.67% B:0.46%)  

4.  4ply  6/4* 4/1*  eq: +0.067 (0.240) 
 Player: Opponent:  52.76% (G:15.14% B:0.60%) 47.24% (G:12.82% B:0.62%)  

5.  4ply  18/16* 10/7  eq: +0.007 (0.300) 
 Player: Opponent:  51.50% (G:13.24% B:0.57%) 48.50% (G:12.83% B:0.62%)  




63: Bar/22 13/7 

1.  XG Roller++  Bar/16  eq: 0.483 
 Player: Opponent:  38.05% (G:8.47% B:0.32%) 61.95% (G:20.01% B:1.14%)  

2.  XG Roller++  Bar/22 24/18  eq: 0.485 (0.002) 
 Player: Opponent:  37.84% (G:8.00% B:0.32%) 62.16% (G:19.77% B:0.95%)  

3.  XG Roller++  Bar/22 13/7  eq: 0.496 (0.013) 
 Player: Opponent:  37.58% (G:8.67% B:0.32%) 62.42% (G:20.33% B:1.39%)  

4.  XG Roller++  Bar/22 8/2  eq: 0.582 (0.098) 
 Player: Opponent:  35.51% (G:7.99% B:0.27%) 64.49% (G:21.19% B:1.41%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
62.30% (G:20.33% B:1.45%) 
62.43% (G:20.17% B:1.39%) 
Opponent Winning Chances: 
37.70% (G:8.52% B:0.32%) 
37.57% (G:8.48% B:0.31%) 
Cubeless Equities 
+0.377 
+0.749 
Cubeful Equities 
No double:  +0.496  
Double/Take:  +0.375 (0.121)  
Double/Pass:  +1.000 (+0.504) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.3% 



44: 8/4*(2) 6/2(2) 

1.  XG Roller++  8/4*(2) 6/2(2)  eq: +0.629 
 Player: Opponent:  64.00% (G:28.57% B:2.60%) 36.00% (G:8.00% B:0.36%)  

2.  XG Roller++  24/16 8/4*(2)  eq: +0.573 (0.056) 
 Player: Opponent:  64.46% (G:18.69% B:1.07%) 35.54% (G:7.54% B:0.24%)  

3.  XG Roller++  24/16 13/9(2)  eq: +0.562 (0.067) 
 Player: Opponent:  65.22% (G:16.17% B:0.90%) 34.78% (G:7.26% B:0.24%)  

4.  XG Roller++  24/16 6/2(2)  eq: +0.501 (0.128) 
 Player: Opponent:  64.37% (G:13.63% B:0.52%) 35.63% (G:7.00% B:0.21%)  

5.  XG Roller++  24/20 8/4*(3)  eq: +0.472 (0.157) 
 Player: Opponent:  60.79% (G:22.33% B:1.59%) 39.21% (G:9.01% B:0.34%)  




51: Bar/24 22/17* 

1.  XG Roller++  Bar/24 22/17*  eq: 0.609 
 Player: Opponent:  37.46% (G:8.77% B:0.47%) 62.54% (G:27.64% B:3.35%)  

2.  XG Roller++  Bar/20 8/7  eq: 0.714 (0.105) 
 Player: Opponent:  34.96% (G:7.37% B:0.34%) 65.04% (G:28.80% B:1.70%)  

3.  4ply  Bar/24 6/1*  eq: 0.832 (0.223) 
 Player: Opponent:  33.81% (G:7.07% B:0.29%) 66.19% (G:30.35% B:4.34%)  

4.  4ply  Bar/24 13/8  eq: 0.898 (0.288) 
 Player: Opponent:  32.85% (G:6.67% B:0.35%) 67.15% (G:31.04% B:3.97%)  

5.  4ply  Bar/24 7/2  eq: 0.902 (0.293) 
 Player: Opponent:  32.32% (G:6.82% B:0.32%) 67.68% (G:30.00% B:3.55%)  




Double/Take 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
62.46% (G:27.77% B:3.34%) 
62.67% (G:27.70% B:3.29%) 
Opponent Winning Chances: 
37.54% (G:8.88% B:0.47%) 
37.33% (G:8.78% B:0.47%) 
Cubeless Equities 
+0.471 
+0.938 
Cubeful Equities 
No double:  +0.605  
Double/Take:  +0.542 (0.063)  
Double/Pass:  +1.000 (+0.395) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.1% 



32: Bar/22 10/8* 

1.  XG Roller++  Bar/22 10/8*  eq: +0.234 
 Player: Opponent:  61.70% (G:27.42% B:3.26%) 38.30% (G:9.59% B:0.59%)  

2.  XG Roller++  Bar/22 24/22  eq: +0.090 (0.144) 
 Player: Opponent:  58.76% (G:20.87% B:1.39%) 41.24% (G:9.76% B:0.39%)  

3.  4ply  Bar/23 16/13  eq: +0.041 (0.193) 
 Player: Opponent:  57.52% (G:20.50% B:1.52%) 42.48% (G:10.95% B:0.46%)  

4.  4ply  Bar/20  eq: +0.005 (0.229) 
 Player: Opponent:  56.29% (G:21.83% B:2.22%) 43.71% (G:12.40% B:0.66%)  

5.  4ply  Bar/23 13/10  eq: +0.003 (0.231) 
 Player: Opponent:  56.32% (G:20.77% B:1.69%) 43.68% (G:11.72% B:0.56%)  




52: Bar/18 

1.  XG Roller++  Bar/18  eq: 0.409 
 Player: Opponent:  34.61% (G:7.34% B:0.43%) 65.39% (G:32.40% B:4.30%)  

2.  XG Roller++  Bar/20 7/5  eq: 0.443 (0.034) 
 Player: Opponent:  33.56% (G:6.84% B:0.37%) 66.44% (G:32.32% B:4.32%)  

3.  XG Roller++  Bar/20 24/22  eq: 0.475 (0.066) 
 Player: Opponent:  33.18% (G:7.07% B:0.41%) 66.82% (G:35.10% B:3.91%)  

4.  XG Roller++  Bar/20 6/4  eq: 0.490 (0.081) 
 Player: Opponent:  33.77% (G:6.51% B:0.36%) 66.23% (G:36.09% B:6.36%)  

5.  XG Roller++  Bar/20 8/6  eq: 0.513 (0.103) 
 Player: Opponent:  31.62% (G:6.34% B:0.33%) 68.38% (G:33.58% B:4.61%)  




51: 24/18* 

1.  XG Roller++  16/11 8/7*  eq: +0.301 
 Player: Opponent:  63.01% (G:30.15% B:3.74%) 36.99% (G:9.04% B:0.58%)  

2.  XG Roller++  13/7*  eq: +0.260 (0.041) 
 Player: Opponent:  62.05% (G:29.73% B:3.65%) 37.95% (G:10.03% B:0.82%)  

3.  XG Roller++  24/18*  eq: +0.233 (0.068) 
 Player: Opponent:  61.55% (G:28.17% B:3.15%) 38.45% (G:9.67% B:0.63%)  

4.  XG Roller++  10/5 6/5  eq: +0.231 (0.071) 
 Player: Opponent:  62.35% (G:26.69% B:2.26%) 37.65% (G:10.08% B:0.58%)  

5.  4ply  10/5 8/7*  eq: +0.082 (0.219) 
 Player: Opponent:  57.68% (G:26.04% B:3.14%) 42.32% (G:12.57% B:1.00%)  




52: Bar/18 

1.  3ply  Bar/18  eq: 0.130 
 Player: Opponent:  40.15% (G:9.24% B:0.35%) 59.85% (G:21.90% B:1.41%)  

2.  3ply  Bar/20 18/16  eq: 0.469 (0.339) 
 Player: Opponent:  32.85% (G:6.89% B:0.35%) 67.15% (G:32.95% B:4.44%)  

3.  3ply  Bar/20 6/4  eq: 0.506 (0.375) 
 Player: Opponent:  33.72% (G:6.83% B:0.47%) 66.28% (G:37.69% B:6.51%)  

4.  3ply  Bar/20 8/6  eq: 0.535 (0.405) 
 Player: Opponent:  31.13% (G:6.75% B:0.37%) 68.87% (G:34.96% B:4.63%)  

5.  3ply  Bar/20 24/22  eq: 0.540 (0.410) 
 Player: Opponent:  31.90% (G:7.17% B:0.48%) 68.10% (G:38.78% B:4.01%)  




51: 10/5 6/5 

1.  XG Roller++  10/5 6/5  eq: +0.169 
 Player: Opponent:  60.21% (G:26.61% B:2.14%) 39.79% (G:10.37% B:0.56%)  

2.  XG Roller++  16/10  eq: +0.022 (0.148) 
 Player: Opponent:  56.60% (G:21.79% B:1.62%) 43.40% (G:11.11% B:0.45%)  

3.  XG Roller++  22/16  eq: +0.006 (0.164) 
 Player: Opponent:  56.76% (G:19.63% B:1.03%) 43.24% (G:11.15% B:0.46%)  

4.  4ply  16/15 13/8  eq: 0.006 (0.175) 
 Player: Opponent:  55.85% (G:22.10% B:1.80%) 44.15% (G:12.16% B:0.66%)  

5.  4ply  18/13 16/15  eq: 0.051 (0.220) 
 Player: Opponent:  54.91% (G:19.88% B:1.12%) 45.09% (G:12.00% B:0.60%)  




65: 13/7* 8/3* 

1.  XG Roller++  24/13  eq: 0.268 
 Player: Opponent:  35.77% (G:6.85% B:0.22%) 64.23% (G:22.21% B:0.49%)  

2.  XG Roller++  13/7* 8/3*  eq: 0.278 (0.010) 
 Player: Opponent:  37.21% (G:9.94% B:0.63%) 62.79% (G:30.02% B:3.28%)  

3.  XG Roller++  24/18 13/8  eq: 0.279 (0.011) 
 Player: Opponent:  35.42% (G:7.16% B:0.24%) 64.58% (G:22.96% B:0.57%)  

4.  XG Roller++  24/18 8/3*  eq: 0.362 (0.094) 
 Player: Opponent:  34.94% (G:7.84% B:0.33%) 65.06% (G:31.06% B:1.35%)  

5.  XG Roller++  13/7* 7/2  eq: 0.413 (0.145) 
 Player: Opponent:  33.31% (G:7.02% B:0.27%) 66.69% (G:29.83% B:2.55%)  




42: Bar/23 Bar/21 

1.  3ply  Bar/23 Bar/21  eq: +0.239 
 Player: Opponent:  62.88% (G:26.42% B:2.32%) 37.12% (G:10.14% B:0.57%)  




61: 8/2* 3/2 

1.  XG Roller++  8/2* 3/2  eq: 0.454 
 Player: Opponent:  32.10% (G:8.39% B:0.44%) 67.90% (G:32.32% B:3.48%)  

2.  XG Roller++  24/18 7/6  eq: 0.458 (0.005) 
 Player: Opponent:  32.56% (G:7.07% B:0.25%) 67.44% (G:33.80% B:1.07%)  

3.  XG Roller++  24/18 3/2*  eq: 0.511 (0.057) 
 Player: Opponent:  31.86% (G:6.61% B:0.26%) 68.14% (G:36.18% B:1.93%)  

4.  XG Roller++  13/7 3/2*  eq: 0.518 (0.064) 
 Player: Opponent:  30.96% (G:6.07% B:0.28%) 69.04% (G:32.49% B:3.89%)  

5.  XG Roller++  24/17*  eq: 0.524 (0.070) 
 Player: Opponent:  33.04% (G:6.80% B:0.28%) 66.96% (G:39.52% B:3.73%)  




31: Bar/24 21/18* 

1.  4ply  Bar/24 21/18*  eq: +0.630 
 Player: Opponent:  71.01% (G:37.12% B:4.96%) 28.99% (G:5.31% B:0.24%)  

2.  4ply  Bar/21  eq: +0.413 (0.217) 
 Player: Opponent:  67.50% (G:28.68% B:2.17%) 32.50% (G:7.55% B:0.23%)  

3.  3ply  Bar/24 16/13  eq: +0.278 (0.352) 
 Player: Opponent:  63.69% (G:28.91% B:2.77%) 36.31% (G:11.09% B:0.48%)  

4.  3ply  Bar/24 8/5  eq: +0.274 (0.356) 
 Player: Opponent:  63.69% (G:28.26% B:2.61%) 36.31% (G:10.76% B:0.48%)  

5.  3ply  Bar/22 16/15  eq: +0.186 (0.444) 
 Player: Opponent:  61.76% (G:28.16% B:2.97%) 38.24% (G:13.88% B:0.96%)  




21: Bar/22 

1.  XG Roller++  Bar/22  eq: 0.611 
 Player: Opponent:  29.38% (G:5.44% B:0.25%) 70.62% (G:36.79% B:4.76%)  

2.  XG Roller++  Bar/24 8/6  eq: 0.662 (0.050) 
 Player: Opponent:  26.52% (G:4.75% B:0.14%) 73.48% (G:34.09% B:3.66%)  

3.  XG Roller++  Bar/24 6/4  eq: 0.715 (0.104) 
 Player: Opponent:  27.87% (G:4.20% B:0.14%) 72.13% (G:40.24% B:6.55%)  

4.  3ply  Bar/24 13/11  eq: 0.982 (0.371) 
 Player: Opponent:  23.81% (G:2.26% B:0.09%) 76.19% (G:50.52% B:11.14%)  

5.  3ply  Bar/24 18/16  eq: 1.099 (0.488) 
 Player: Opponent:  20.28% (G:2.72% B:0.15%) 79.72% (G:52.95% B:12.07%)  




63: 24/18 16/13 

1.  XG Roller++  24/18 8/5  eq: +0.489 
 Player: Opponent:  68.98% (G:31.30% B:2.33%) 31.02% (G:6.52% B:0.23%)  

2.  XG Roller++  16/10 8/5  eq: +0.457 (0.032) 
 Player: Opponent:  67.70% (G:32.13% B:3.49%) 32.30% (G:7.68% B:0.30%)  

3.  XG Roller++  16/10 13/10  eq: +0.433 (0.057) 
 Player: Opponent:  67.64% (G:30.33% B:2.75%) 32.36% (G:7.64% B:0.33%)  

4.  XG Roller++  24/18 16/13  eq: +0.432 (0.057) 
 Player: Opponent:  67.96% (G:28.71% B:1.91%) 32.04% (G:6.85% B:0.22%)  

5.  XG Roller++  24/18 13/10  eq: +0.396 (0.093) 
 Player: Opponent:  66.63% (G:31.79% B:3.23%) 33.37% (G:10.15% B:0.49%)  




42: 24/22 8/4 

1.  XG Roller++  8/4 6/4  eq: 0.389 
 Player: Opponent:  33.04% (G:7.46% B:0.21%) 66.96% (G:27.60% B:2.05%)  

2.  XG Roller++  24/22 8/4  eq: 0.435 (0.046) 
 Player: Opponent:  30.79% (G:5.87% B:0.14%) 69.21% (G:25.23% B:0.96%)  

3.  XG Roller++  22/18 6/4  eq: 0.505 (0.116) 
 Player: Opponent:  30.54% (G:5.56% B:0.16%) 69.46% (G:30.17% B:2.71%)  

4.  4ply  22/18 8/6  eq: 0.556 (0.166) 
 Player: Opponent:  27.86% (G:5.07% B:0.13%) 72.14% (G:28.31% B:2.02%)  

5.  4ply  24/22 6/2  eq: 0.631 (0.242) 
 Player: Opponent:  26.30% (G:4.09% B:0.10%) 73.70% (G:31.46% B:1.66%)  




55: 18/8(2) 

1.  XG Roller++  18/8 13/8(2)  eq: +0.516 
 Player: Opponent:  71.53% (G:25.03% B:0.85%) 28.47% (G:3.69% B:0.11%)  

2.  XG Roller++  18/8(2)  eq: +0.452 (0.064) 
 Player: Opponent:  70.39% (G:21.56% B:0.65%) 29.61% (G:3.79% B:0.12%)  

3.  XG Roller++  13/8(4)  eq: +0.430 (0.086) 
 Player: Opponent:  67.99% (G:27.20% B:1.02%) 32.01% (G:5.22% B:0.17%)  

4.  XG Roller++  13/8(2) 6/1*(2)  eq: +0.376 (0.139) 
 Player: Opponent:  66.24% (G:27.75% B:0.56%) 33.76% (G:6.28% B:0.24%)  

5.  XG Roller++  18/8 6/1*(2)  eq: +0.364 (0.152) 
 Player: Opponent:  66.09% (G:26.74% B:0.53%) 33.91% (G:6.17% B:0.22%)  




53: 13/10 13/8 

1.  XG Roller++  13/10 13/8  eq: 0.488 
 Player: Opponent:  28.21% (G:3.43% B:0.06%) 71.79% (G:21.20% B:0.60%)  

2.  XG Roller++  13/8 6/3  eq: 0.596 (0.108) 
 Player: Opponent:  27.86% (G:3.24% B:0.06%) 72.14% (G:30.82% B:1.45%)  

3.  XG Roller++  13/5  eq: 0.599 (0.111) 
 Player: Opponent:  27.71% (G:3.27% B:0.07%) 72.29% (G:30.88% B:1.44%)  

4.  XG Roller++  6/1 4/1  eq: 0.619 (0.131) 
 Player: Opponent:  24.51% (G:2.90% B:0.03%) 75.49% (G:24.39% B:0.76%)  

5.  XG Roller++  6/3 6/1  eq: 0.655 (0.167) 
 Player: Opponent:  24.88% (G:3.41% B:0.05%) 75.12% (G:29.48% B:1.18%)  




55: 13/8(4) 

1.  XG Roller++  13/8(2) 6/1*(2)  eq: +0.492 
 Player: Opponent:  69.97% (G:26.45% B:0.40%) 30.03% (G:3.51% B:0.10%)  

2.  XG Roller++  13/8(4)  eq: +0.489 (0.003) 
 Player: Opponent:  71.50% (G:22.16% B:0.39%) 28.50% (G:3.32% B:0.10%)  

3.  3ply  13/8(3) 6/1*  eq: +0.137 (0.355) 
 Player: Opponent:  60.44% (G:23.53% B:0.98%) 39.56% (G:10.60% B:0.40%)  




32: 8/5 6/4 

1.  XG Roller++  8/5 6/4  eq: 0.481 
 Player: Opponent:  29.73% (G:3.78% B:0.06%) 70.27% (G:24.93% B:0.57%)  

2.  XG Roller++  6/4 6/3  eq: 0.492 (0.010) 
 Player: Opponent:  29.51% (G:3.72% B:0.06%) 70.49% (G:25.46% B:0.57%)  

3.  XG Roller++  10/7 6/4  eq: 0.518 (0.037) 
 Player: Opponent:  28.46% (G:3.49% B:0.06%) 71.54% (G:25.09% B:0.58%)  

4.  XG Roller++  10/8 6/3  eq: 0.560 (0.079) 
 Player: Opponent:  27.58% (G:3.28% B:0.06%) 72.42% (G:26.98% B:0.63%)  

5.  XG Roller++  10/5  eq: 0.570 (0.089) 
 Player: Opponent:  27.18% (G:3.16% B:0.05%) 72.82% (G:26.70% B:0.64%)  




41: 8/4 2/1* 

1.  XG Roller++  6/5 6/2  eq: +0.313 
 Player: Opponent:  65.77% (G:18.90% B:0.33%) 34.23% (G:3.79% B:0.11%)  

2.  XG Roller++  8/4 2/1*  eq: +0.297 (0.016) 
 Player: Opponent:  64.47% (G:24.60% B:0.81%) 35.53% (G:6.45% B:0.18%)  

3.  XG Roller++  8/4 6/5  eq: +0.175 (0.138) 
 Player: Opponent:  60.80% (G:20.31% B:0.64%) 39.20% (G:5.77% B:0.14%)  

4.  4ply  5/4 5/1*  eq: +0.077 (0.237) 
 Player: Opponent:  57.96% (G:17.76% B:0.36%) 42.04% (G:6.33% B:0.15%)  

5.  4ply  8/4 5/4  eq: 0.017 (0.331) 
 Player: Opponent:  54.99% (G:17.52% B:0.49%) 45.01% (G:8.25% B:0.23%)  




65: Cannot Move 

1.  3ply  Cannot Move  eq: 0.651 
 Player: Opponent:  27.32% (G:2.80% B:0.10%) 72.68% (G:35.10% B:0.53%)  




63: 8/2 4/1 

1.  XG Roller++  8/2 4/1  eq: +0.803 
 Player: Opponent:  76.15% (G:40.30% B:0.38%) 23.85% (G:1.79% B:0.05%)  

2.  XG Roller++  8/5 8/2  eq: +0.766 (0.037) 
 Player: Opponent:  75.41% (G:38.57% B:0.67%) 24.59% (G:2.11% B:0.06%)  

3.  2ply  8/2 5/2  eq: +0.008 (0.795) 
 Player: Opponent:  54.12% (G:25.17% B:0.61%) 45.88% (G:9.34% B:0.30%)  




61: Cannot Move 

1.  3ply  Cannot Move  eq: 0.923 
 Player: Opponent:  22.78% (G:1.62% B:0.06%) 77.22% (G:49.68% B:0.62%)  




11: 6/4(2) 

1.  4ply  6/4(2)  eq: +0.682 
 Player: Opponent:  74.13% (G:33.44% B:0.34%) 25.87% (G:1.82% B:0.07%)  

2.  4ply  6/5(2) 2/1(2)  eq: +0.423 (0.259) 
 Player: Opponent:  66.67% (G:28.67% B:0.30%) 33.33% (G:3.77% B:0.15%)  

3.  4ply  6/5 6/4 2/1  eq: +0.415 (0.266) 
 Player: Opponent:  66.78% (G:27.46% B:0.34%) 33.22% (G:3.86% B:0.13%)  

4.  3ply  6/4 5/4(2)  eq: +0.120 (0.562) 
 Player: Opponent:  58.00% (G:23.51% B:0.53%) 42.00% (G:6.91% B:0.09%)  

5.  3ply  5/4(2) 2/1(2)  eq: +0.120 (0.562) 
 Player: Opponent:  57.63% (G:24.68% B:0.38%) 42.37% (G:6.94% B:0.07%)  




63: Bar/16 

1.  XG Roller++  Bar/16  eq: 0.681 
 Player: Opponent:  22.76% (G:1.54% B:0.01%) 77.24% (G:25.03% B:0.24%)  

2.  XG Roller++  Bar/19 6/3  eq: 0.702 (0.020) 
 Player: Opponent:  24.55% (G:1.83% B:0.02%) 75.45% (G:31.57% B:0.37%)  

3.  XG Roller++  Bar/19 10/7  eq: 0.725 (0.044) 
 Player: Opponent:  23.20% (G:1.69% B:0.02%) 76.80% (G:30.59% B:0.33%)  

4.  XG Roller++  Bar/22 10/4  eq: 0.740 (0.059) 
 Player: Opponent:  21.43% (G:1.39% B:0.02%) 78.57% (G:27.42% B:0.26%)  

5.  XG Roller++  Bar/22 18/12  eq: 0.800 (0.119) 
 Player: Opponent:  20.81% (G:1.34% B:0.02%) 79.19% (G:31.86% B:0.36%)  




22: 8/6(3) 4/2 

1.  XG Roller++  8/6(2) 8/4  eq: +0.807 
 Player: Opponent:  79.74% (G:31.16% B:0.24%) 20.26% (G:1.65% B:0.05%)  

2.  XG Roller++  8/6(3) 4/2  eq: +0.765 (0.042) 
 Player: Opponent:  78.48% (G:29.82% B:0.21%) 21.52% (G:1.38% B:0.04%)  

3.  XG Roller++  8/6(4)  eq: +0.759 (0.048) 
 Player: Opponent:  75.85% (G:35.34% B:0.75%) 24.15% (G:1.24% B:0.04%)  

4.  XG Roller++  8/4(2)  eq: +0.672 (0.135) 
 Player: Opponent:  76.03% (G:26.87% B:0.18%) 23.97% (G:1.69% B:0.06%)  

5.  4ply  8/2 4/2  eq: +0.555 (0.252) 
 Player: Opponent:  72.68% (G:23.92% B:0.14%) 27.32% (G:1.71% B:0.05%)  




31: 16/13 6/5 

1.  XG Roller++  16/13 6/5  eq: 0.770 
 Player: Opponent:  22.63% (G:1.73% B:0.04%) 77.37% (G:34.01% B:0.21%)  

2.  XG Roller++  10/7 6/5  eq: 0.779 (0.009) 
 Player: Opponent:  22.46% (G:1.80% B:0.04%) 77.54% (G:34.76% B:0.22%)  

3.  XG Roller++  6/5 6/3  eq: 0.810 (0.039) 
 Player: Opponent:  22.58% (G:1.72% B:0.04%) 77.42% (G:37.55% B:0.29%)  

4.  XG Roller++  10/9 6/3  eq: 0.827 (0.057) 
 Player: Opponent:  22.00% (G:1.62% B:0.04%) 78.00% (G:37.76% B:0.32%)  

5.  XG Roller++  16/13 10/9  eq: 0.858 (0.088) 
 Player: Opponent:  20.91% (G:1.17% B:0.03%) 79.09% (G:37.71% B:0.47%)  




63: 8/5 8/2 

1.  3ply  8/5 8/2  eq: +1.120 
 Player: Opponent:  87.08% (G:42.75% B:0.43%) 12.92% (G:0.08% B:0.00%)  

2.  2ply  8/2 4/1  eq: +0.081 (1.039) 
 Player: Opponent:  55.97% (G:20.48% B:0.14%) 44.03% (G:3.84% B:0.07%)  

3.  1ply  8/2 5/2  eq: 0.493 (1.613) 
 Player: Opponent:  39.38% (G:16.23% B:0.32%) 60.62% (G:12.91% B:0.42%)  




63: 18/12 13/10 

1.  XG Roller++  18/12 10/7  eq: 1.102 
 Player: Opponent:  11.84% (G:0.06% B:0.00%) 88.16% (G:38.30% B:0.20%)  

2.  XG Roller++  13/7 10/7  eq: 1.102 (0.000) 
 Player: Opponent:  11.94% (G:0.05% B:0.00%) 88.06% (G:38.65% B:0.19%)  

3.  XG Roller++  18/15 18/12  eq: 1.105 (0.003) 
 Player: Opponent:  11.60% (G:0.05% B:0.00%) 88.40% (G:38.13% B:0.20%)  

4.  XG Roller++  18/9  eq: 1.106 (0.003) 
 Player: Opponent:  11.71% (G:0.06% B:0.00%) 88.29% (G:38.39% B:0.19%)  

5.  XG Roller++  18/15 13/7  eq: 1.106 (0.004) 
 Player: Opponent:  11.77% (G:0.05% B:0.00%) 88.23% (G:38.56% B:0.21%)  

6.  XG Roller++  18/12 13/10  eq: 1.109 (0.007) 
 Player: Opponent:  11.36% (G:0.05% B:0.00%) 88.64% (G:37.90% B:0.20%)  




52: 6/4 5/Off 

1.  XG Roller++  6/4 5/Off  eq: +1.147 
 Player: Opponent:  90.03% (G:38.02% B:0.21%) 9.97% (G:0.00% B:0.00%)  

2.  XG Roller++  6/1 2/Off  eq: +1.100 (0.047) 
 Player: Opponent:  88.72% (G:36.52% B:0.20%) 11.28% (G:0.00% B:0.00%)  

3.  XG Roller++  5/Off 2/Off  eq: +1.084 (0.063) 
 Player: Opponent:  86.88% (G:39.32% B:0.30%) 13.12% (G:0.00% B:0.00%)  

4.  4ply  6/1 4/2  eq: +0.867 (0.280) 
 Player: Opponent:  83.06% (G:27.83% B:0.08%) 16.94% (G:0.46% B:0.01%)  

5.  4ply  5/Off 4/2  eq: +0.825 (0.322) 
 Player: Opponent:  80.08% (G:30.57% B:0.14%) 19.92% (G:0.00% B:0.00%)  




62: 12/6 10/8 

1.  XG Roller++  18/12 10/8  eq: 1.150 
 Player: Opponent:  9.77% (G:0.00% B:0.00%) 90.23% (G:37.88% B:0.18%)  

2.  XG Roller++  12/6 10/8  eq: 1.151 (0.001) 
 Player: Opponent:  9.64% (G:0.00% B:0.00%) 90.36% (G:37.78% B:0.19%)  

3.  XG Roller++  18/10  eq: 1.155 (0.006) 
 Player: Opponent:  9.76% (G:0.00% B:0.00%) 90.24% (G:38.53% B:0.20%)  

4.  XG Roller++  18/16 12/6  eq: 1.155 (0.006) 
 Player: Opponent:  9.51% (G:0.00% B:0.00%) 90.49% (G:37.88% B:0.19%)  

5.  XG Roller++  18/16 10/4  eq: 1.175 (0.026) 
 Player: Opponent:  10.05% (G:0.00% B:0.00%) 89.95% (G:41.15% B:0.22%)  




52: 6/4 6/1 

1.  3ply  6/4 6/1  eq: +1.157 
 Player: Opponent:  93.28% (G:31.28% B:0.15%) 6.72% (G:0.00% B:0.00%)  

2.  3ply  6/1 2/Off  eq: +0.676 (0.481) 
 Player: Opponent:  75.43% (G:26.91% B:0.21%) 24.57% (G:0.00% B:0.00%)  

3.  3ply  5/Off 2/Off  eq: +0.640 (0.517) 
 Player: Opponent:  73.11% (G:29.45% B:0.31%) 26.89% (G:0.00% B:0.00%)  

4.  3ply  6/1 4/2  eq: +0.550 (0.607) 
 Player: Opponent:  72.56% (G:21.55% B:0.09%) 27.44% (G:0.00% B:0.00%)  

5.  2ply  5/Off 4/2  eq: +0.501 (0.656) 
 Player: Opponent:  69.61% (G:23.91% B:0.14%) 30.39% (G:0.00% B:0.00%)  




52: 18/13 8/6 

1.  XG Roller++  18/11  eq: 1.163 
 Player: Opponent:  7.33% (G:0.00% B:0.00%) 92.67% (G:33.43% B:0.13%)  

2.  XG Roller++  18/13 8/6  eq: 1.164 (0.000) 
 Player: Opponent:  6.97% (G:0.00% B:0.00%) 93.03% (G:32.53% B:0.11%)  

3.  XG Roller++  18/13 10/8  eq: 1.168 (0.004) 
 Player: Opponent:  7.63% (G:0.00% B:0.00%) 92.37% (G:34.62% B:0.14%)  

4.  XG Roller++  10/5 8/6  eq: 1.177 (0.014) 
 Player: Opponent:  7.03% (G:0.00% B:0.00%) 92.97% (G:34.05% B:0.13%)  

5.  XG Roller++  18/16 10/5  eq: 1.179 (0.016) 
 Player: Opponent:  7.33% (G:0.00% B:0.00%) 92.67% (G:35.04% B:0.15%)  




41: 4/Off 1/Off 

1.  XG Roller++  4/Off 1/Off  eq: +1.211 
 Player: Opponent:  94.65% (G:33.12% B:0.26%) 5.35% (G:0.00% B:0.00%)  

2.  XG Roller++  5/4 5/1  eq: +1.143 (0.068) 
 Player: Opponent:  96.30% (G:22.69% B:0.08%) 3.70% (G:0.00% B:0.00%)  

3.  XG Roller++  4/Off 2/1  eq: +1.116 (0.095) 
 Player: Opponent:  93.57% (G:26.61% B:0.12%) 6.43% (G:0.00% B:0.00%)  

4.  3ply  5/Off  eq: +0.673 (0.538) 
 Player: Opponent:  78.06% (G:20.09% B:0.06%) 21.94% (G:0.00% B:0.00%)  

5.  3ply  5/1 2/1  eq: +0.592 (0.619) 
 Player: Opponent:  76.92% (G:15.06% B:0.03%) 23.08% (G:0.00% B:0.00%)  




42: 13/11 10/6 

1.  XG Roller++  13/11 10/6  eq: 1.247 
 Player: Opponent:  5.30% (G:0.00% B:0.00%) 94.70% (G:36.53% B:0.28%)  

2.  XG Roller++  13/9 10/8  eq: 1.251 (0.003) 
 Player: Opponent:  5.71% (G:0.00% B:0.00%) 94.29% (G:37.86% B:0.28%)  

3.  XG Roller++  13/7  eq: 1.253 (0.005) 
 Player: Opponent:  5.69% (G:0.00% B:0.00%) 94.31% (G:38.00% B:0.26%)  

4.  XG Roller++  22/18 13/11  eq: 1.283 (0.036) 
 Player: Opponent:  5.54% (G:0.00% B:0.00%) 94.46% (G:40.79% B:0.16%)  

5.  XG Roller++  10/4  eq: 1.287 (0.040) 
 Player: Opponent:  5.73% (G:0.00% B:0.00%) 94.27% (G:41.43% B:0.29%)  




62: 5/Off 2/Off 

1.  XG Roller++  5/Off 2/Off  eq: +0.886 
 Player: Opponent:  83.02% (G:29.28% B:0.29%) 16.98% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 4/2  eq: +0.804 (0.082) 
 Player: Opponent:  81.88% (G:24.47% B:0.12%) 18.12% (G:0.00% B:0.00%)  




62: 22/20* 20/14 

1.  XG Roller++  22/20* 20/14  eq: +0.085 
 Player: Opponent:  48.15% (G:0.00% B:0.00%) 51.85% (G:9.95% B:0.23%)  

2.  XG Roller++  22/16 22/20*  eq: +0.060 (0.025) 
 Player: Opponent:  47.20% (G:0.00% B:0.00%) 52.80% (G:9.89% B:0.20%)  

3.  XG Roller++  22/20* 11/5  eq: +0.013 (0.071) 
 Player: Opponent:  45.17% (G:0.00% B:0.00%) 54.83% (G:10.05% B:0.14%)  

4.  1ply  22/14  eq: 1.368 (1.452) 
 Player: Opponent:  2.64% (G:0.00% B:0.00%) 97.36% (G:42.16% B:0.14%)  

5.  1ply  22/16 11/9  eq: 1.374 (1.458) 
 Player: Opponent:  2.78% (G:0.00% B:0.00%) 97.22% (G:43.09% B:0.14%)  




65: Cannot Move 

1.  3ply  Cannot Move  eq: 0.237 
 Player: Opponent:  46.21% (G:6.56% B:0.13%) 53.79% (G:0.00% B:0.00%)  




21: 6/5 6/4 

1.  XG Roller++  6/5 6/4  eq: +0.333 
 Player: Opponent:  56.43% (G:0.00% B:0.00%) 43.57% (G:7.40% B:0.16%)  

2.  XG Roller++  14/13 6/4  eq: +0.265 (0.068) 
 Player: Opponent:  54.32% (G:0.00% B:0.00%) 45.68% (G:8.33% B:0.18%)  

3.  XG Roller++  11/9 6/5  eq: +0.226 (0.107) 
 Player: Opponent:  53.25% (G:0.00% B:0.00%) 46.75% (G:10.50% B:0.29%)  

4.  XG Roller++  22/20 6/5  eq: +0.216 (0.117) 
 Player: Opponent:  52.44% (G:0.00% B:0.00%) 47.56% (G:8.87% B:0.23%)  

5.  XG Roller++  14/12 6/5  eq: +0.199 (0.135) 
 Player: Opponent:  51.74% (G:0.00% B:0.00%) 48.26% (G:8.66% B:0.20%)  




52: Cannot Move 

1.  3ply  Cannot Move  eq: 0.465 
 Player: Opponent:  38.38% (G:4.15% B:0.08%) 61.62% (G:0.00% B:0.00%)  




63: 22/13 

1.  XG Roller++  22/13  eq: +0.467 
 Player: Opponent:  60.13% (G:0.00% B:0.00%) 39.87% (G:5.42% B:0.13%)  

2.  XG Roller++  22/19 14/8  eq: +0.384 (0.083) 
 Player: Opponent:  57.25% (G:0.00% B:0.00%) 42.75% (G:6.51% B:0.14%)  

3.  XG Roller++  22/16 6/3  eq: +0.338 (0.128) 
 Player: Opponent:  57.97% (G:0.00% B:0.00%) 42.03% (G:13.10% B:0.38%)  

4.  XG Roller++  14/8 6/3  eq: +0.336 (0.130) 
 Player: Opponent:  58.41% (G:0.00% B:0.00%) 41.59% (G:14.50% B:0.68%)  

5.  XG Roller++  14/8 11/8  eq: +0.334 (0.132) 
 Player: Opponent:  54.66% (G:0.00% B:0.00%) 45.34% (G:3.94% B:0.06%)  




41: Bar/24 

1.  3ply  Bar/24  eq: 0.379 
 Player: Opponent:  40.74% (G:5.95% B:0.10%) 59.26% (G:0.00% B:0.00%)  




32: 6/3 5/3 

1.  4ply  6/3 5/3  eq: +0.574 
 Player: Opponent:  64.21% (G:0.00% B:0.00%) 35.79% (G:5.04% B:0.06%)  

2.  4ply  6/1*  eq: +0.323 (0.251) 
 Player: Opponent:  57.98% (G:0.00% B:0.00%) 42.02% (G:9.24% B:0.21%)  

3.  4ply  11/9 4/1*  eq: +0.263 (0.310) 
 Player: Opponent:  55.92% (G:0.00% B:0.00%) 44.08% (G:10.64% B:0.26%)  

4.  4ply  14/12 4/1*  eq: +0.245 (0.328) 
 Player: Opponent:  55.47% (G:0.00% B:0.00%) 44.53% (G:10.21% B:0.25%)  

5.  3ply  13/11 4/1*  eq: +0.206 (0.367) 
 Player: Opponent:  53.21% (G:0.00% B:0.00%) 46.79% (G:8.05% B:0.13%)  




32: 4/2 4/1 

1.  3ply  4/2 4/1  eq: 0.810 
 Player: Opponent:  27.77% (G:3.09% B:0.04%) 72.23% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
72.11% (G:0.00% B:0.00%) 
72.29% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
27.89% (G:3.36% B:0.05%) 
27.71% (G:3.52% B:0.07%) 
Cubeless Equities 
+0.407 
+0.888 
Cubeful Equities 
No redouble:  +0.830  
Redouble/Take:  +0.771 (0.059)  
Redouble/Pass:  +1.000 (+0.170) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 20.4% 



65: 11/5 6/1* 

1.  XG Roller++  14/8 6/1*  eq: +0.868 
 Player: Opponent:  73.45% (G:0.00% B:0.00%) 26.55% (G:3.78% B:0.10%)  

2.  XG Roller++  11/5 6/1*  eq: +0.863 (0.006) 
 Player: Opponent:  73.00% (G:0.00% B:0.00%) 27.00% (G:3.27% B:0.06%)  

3.  XG Roller++  13/7 6/1*  eq: +0.830 (0.038) 
 Player: Opponent:  73.44% (G:0.00% B:0.00%) 26.56% (G:5.21% B:0.25%)  

4.  3ply  14/3  eq: +0.533 (0.336) 
 Player: Opponent:  62.31% (G:0.00% B:0.00%) 37.69% (G:2.57% B:0.04%)  

5.  3ply  14/9 11/5  eq: +0.495 (0.374) 
 Player: Opponent:  60.52% (G:0.00% B:0.00%) 39.48% (G:2.42% B:0.04%)  




21: Bar/24* 4/2 

1.  3ply  Bar/24* 4/2  eq: 0.973 
 Player: Opponent:  23.08% (G:4.26% B:0.05%) 76.92% (G:0.00% B:0.00%)  




Double/Take 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
77.31% (G:0.00% B:0.00%) 
77.16% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
22.69% (G:5.01% B:0.13%) 
22.84% (G:5.15% B:0.14%) 
Cubeless Equities 
+0.494 
+1.061 
Cubeful Equities 
No redouble:  +0.769 (0.207)  
Redouble/Take:  +0.976  
Redouble/Pass:  +1.000 (+0.024) 

Best Cube action: Redouble / Take 



63: Bar/19 4/1* 

1.  4ply  Bar/19 4/1*  eq: +0.413 
 Player: Opponent:  74.88% (G:0.00% B:0.00%) 25.12% (G:3.92% B:0.07%)  

2.  4ply  Bar/22 13/7  eq: +0.227 (0.186) 
 Player: Opponent:  67.55% (G:0.00% B:0.00%) 32.45% (G:9.21% B:0.12%)  

3.  4ply  Bar/22 14/8  eq: +0.224 (0.189) 
 Player: Opponent:  66.66% (G:0.00% B:0.00%) 33.34% (G:4.85% B:0.07%)  

4.  4ply  Bar/16  eq: +0.190 (0.223) 
 Player: Opponent:  64.93% (G:0.00% B:0.00%) 35.07% (G:4.47% B:0.03%)  

5.  4ply  Bar/19 14/11  eq: +0.163 (0.250) 
 Player: Opponent:  64.17% (G:0.00% B:0.00%) 35.83% (G:5.58% B:0.08%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 0.477 
 Player: Opponent:  22.60% (G:1.89% B:0.04%) 77.40% (G:0.00% B:0.00%)  




63: 19/10 

1.  XG Roller++  19/16 13/7  eq: +0.413 
 Player: Opponent:  75.07% (G:0.00% B:0.00%) 24.93% (G:4.21% B:0.11%)  

2.  XG Roller++  19/16 14/8  eq: +0.413 (0.000) 
 Player: Opponent:  74.75% (G:0.00% B:0.00%) 25.25% (G:3.15% B:0.05%)  

3.  XG Roller++  14/8 13/10  eq: +0.411 (0.002) 
 Player: Opponent:  74.73% (G:0.00% B:0.00%) 25.27% (G:3.45% B:0.06%)  

4.  XG Roller++  19/10  eq: +0.410 (0.003) 
 Player: Opponent:  74.72% (G:0.00% B:0.00%) 25.28% (G:3.55% B:0.06%)  

5.  XG Roller++  19/13 14/11  eq: +0.408 (0.005) 
 Player: Opponent:  74.43% (G:0.00% B:0.00%) 25.57% (G:2.83% B:0.04%)  




62: Cannot Move 

1.  3ply  Cannot Move  eq: 0.473 
 Player: Opponent:  22.81% (G:1.53% B:0.04%) 77.19% (G:0.00% B:0.00%)  




62: 14/12 13/7 

1.  XG Roller++  14/6  eq: +0.442 
 Player: Opponent:  75.85% (G:0.00% B:0.00%) 24.15% (G:2.20% B:0.05%)  

2.  XG Roller++  14/12 10/4  eq: +0.431 (0.011) 
 Player: Opponent:  75.43% (G:0.00% B:0.00%) 24.57% (G:2.29% B:0.03%)  

3.  XG Roller++  14/12 13/7  eq: +0.430 (0.012) 
 Player: Opponent:  75.60% (G:0.00% B:0.00%) 24.40% (G:3.44% B:0.07%)  

4.  XG Roller++  13/7 10/8  eq: +0.420 (0.022) 
 Player: Opponent:  75.16% (G:0.00% B:0.00%) 24.84% (G:3.35% B:0.08%)  

5.  XG Roller++  13/7 5/3  eq: +0.413 (0.029) 
 Player: Opponent:  74.84% (G:0.00% B:0.00%) 25.16% (G:3.39% B:0.08%)  




41: Bar/24* 

1.  3ply  Bar/24*  eq: 0.491 
 Player: Opponent:  21.52% (G:5.46% B:0.19%) 78.48% (G:0.00% B:0.00%)  




61: Bar/19 2/1* 

1.  XG Roller++  Bar/19 10/9  eq: +0.230 
 Player: Opponent:  67.78% (G:0.00% B:0.00%) 32.22% (G:8.72% B:0.14%)  

2.  XG Roller++  Bar/18  eq: +0.222 (0.008) 
 Player: Opponent:  67.41% (G:0.00% B:0.00%) 32.59% (G:8.50% B:0.12%)  

3.  XG Roller++  Bar/19 5/4  eq: +0.208 (0.023) 
 Player: Opponent:  66.91% (G:0.00% B:0.00%) 33.09% (G:9.25% B:0.13%)  

4.  XG Roller++  Bar/19 2/1*  eq: +0.202 (0.029) 
 Player: Opponent:  67.29% (G:0.00% B:0.00%) 32.71% (G:12.62% B:0.52%)  

5.  XG Roller++  Bar/19 7/6  eq: +0.198 (0.032) 
 Player: Opponent:  65.26% (G:0.00% B:0.00%) 34.74% (G:5.18% B:0.05%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 0.451 
 Player: Opponent:  23.60% (G:2.97% B:0.06%) 76.40% (G:0.00% B:0.00%)  




43: 19/15 5/2 

1.  XG Roller++  12/8 5/2  eq: +0.436 
 Player: Opponent:  75.97% (G:0.00% B:0.00%) 24.03% (G:3.43% B:0.11%)  

2.  XG Roller++  19/15 5/2  eq: +0.432 (0.004) 
 Player: Opponent:  75.93% (G:0.00% B:0.00%) 24.07% (G:3.84% B:0.12%)  

3.  XG Roller++  10/6 5/2  eq: +0.425 (0.011) 
 Player: Opponent:  75.65% (G:0.00% B:0.00%) 24.35% (G:4.12% B:0.13%)  

4.  XG Roller++  7/3 5/2  eq: +0.408 (0.028) 
 Player: Opponent:  74.70% (G:0.00% B:0.00%) 25.30% (G:3.63% B:0.05%)  

5.  XG Roller++  12/8 10/7  eq: +0.373 (0.063) 
 Player: Opponent:  73.62% (G:0.00% B:0.00%) 26.38% (G:5.84% B:0.16%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 0.519 
 Player: Opponent:  20.98% (G:0.22% B:0.00%) 79.02% (G:0.00% B:0.00%)  




41: 12/7 

1.  XG Roller++  12/7  eq: +0.509 
 Player: Opponent:  78.57% (G:0.00% B:0.00%) 21.43% (G:0.33% B:0.01%)  

2.  XG Roller++  15/11 10/9  eq: +0.445 (0.063) 
 Player: Opponent:  76.36% (G:0.00% B:0.00%) 23.64% (G:3.26% B:0.10%)  

3.  XG Roller++  12/8 10/9  eq: +0.435 (0.073) 
 Player: Opponent:  75.87% (G:0.00% B:0.00%) 24.13% (G:3.13% B:0.10%)  

4.  XG Roller++  15/11 12/11  eq: +0.431 (0.077) 
 Player: Opponent:  75.69% (G:0.00% B:0.00%) 24.31% (G:3.23% B:0.04%)  

5.  XG Roller++  12/11 10/6  eq: +0.430 (0.078) 
 Player: Opponent:  75.80% (G:0.00% B:0.00%) 24.20% (G:3.84% B:0.11%)  




51: Bar/24* 

1.  3ply  Bar/24*  eq: 0.609 
 Player: Opponent:  17.01% (G:0.65% B:0.01%) 82.99% (G:0.00% B:0.00%)  




53: Bar/22 10/5 

1.  XG Roller++  Bar/22 10/5  eq: +0.523 
 Player: Opponent:  79.21% (G:0.00% B:0.00%) 20.79% (G:0.45% B:0.01%)  

2.  XG Roller++  Bar/22 15/10  eq: +0.508 (0.015) 
 Player: Opponent:  78.55% (G:0.00% B:0.00%) 21.45% (G:0.54% B:0.01%)  

3.  XG Roller++  Bar/20 10/7  eq: +0.459 (0.064) 
 Player: Opponent:  76.37% (G:0.00% B:0.00%) 23.63% (G:0.27% B:0.00%)  

4.  XG Roller++  Bar/20 15/12  eq: +0.453 (0.070) 
 Player: Opponent:  76.14% (G:0.00% B:0.00%) 23.86% (G:0.22% B:0.00%)  

5.  XG Roller++  Bar/17  eq: +0.450 (0.073) 
 Player: Opponent:  75.98% (G:0.00% B:0.00%) 24.02% (G:0.28% B:0.00%)  




31: 4/1 2/1 

1.  3ply  4/1 2/1  eq: 0.444 
 Player: Opponent:  24.26% (G:0.29% B:0.00%) 75.74% (G:0.00% B:0.00%)  




65: 15/4 

1.  XG Roller++  22/11  eq: +0.428 
 Player: Opponent:  75.01% (G:0.00% B:0.00%) 24.99% (G:0.17% B:0.00%)  

2.  XG Roller++  22/17 15/9  eq: +0.424 (0.003) 
 Player: Opponent:  74.86% (G:0.00% B:0.00%) 25.14% (G:0.18% B:0.00%)  

3.  XG Roller++  22/16 15/10  eq: +0.422 (0.006) 
 Player: Opponent:  74.74% (G:0.00% B:0.00%) 25.26% (G:0.18% B:0.00%)  

4.  XG Roller++  15/4  eq: +0.418 (0.010) 
 Player: Opponent:  74.57% (G:0.00% B:0.00%) 25.43% (G:0.19% B:0.00%)  

5.  XG Roller++  15/10 7/1*  eq: +0.330 (0.097) 
 Player: Opponent:  71.73% (G:0.00% B:0.00%) 28.27% (G:5.23% B:0.18%)  




66: Cannot Move 

1.  3ply  Cannot Move  eq: 0.422 
 Player: Opponent:  25.22% (G:0.23% B:0.00%) 74.78% (G:0.00% B:0.00%)  




22: 22/18 5/1* 

1.  XG Roller++  22/18 5/1*  eq: +0.432 
 Player: Opponent:  75.19% (G:0.00% B:0.00%) 24.81% (G:0.16% B:0.00%)  

2.  XG Roller++  22/20 5/1* 4/2  eq: +0.407 (0.025) 
 Player: Opponent:  74.07% (G:0.00% B:0.00%) 25.93% (G:0.22% B:0.00%)  

3.  XG Roller++  22/14  eq: +0.384 (0.048) 
 Player: Opponent:  73.02% (G:0.00% B:0.00%) 26.98% (G:0.17% B:0.00%)  

4.  XG Roller++  22/16 4/2  eq: +0.370 (0.063) 
 Player: Opponent:  72.49% (G:0.00% B:0.00%) 27.51% (G:0.66% B:0.01%)  

5.  XG Roller++  22/16 5/3  eq: +0.358 (0.074) 
 Player: Opponent:  71.90% (G:0.00% B:0.00%) 28.10% (G:0.33% B:0.00%)  




51: Bar/24* 

1.  3ply  Bar/24*  eq: 0.437 
 Player: Opponent:  24.55% (G:0.39% B:0.00%) 75.45% (G:0.00% B:0.00%)  




65: Bar/20 18/12 

1.  XG Roller++  Bar/20 18/12  eq: +0.427 
 Player: Opponent:  75.00% (G:0.00% B:0.00%) 25.00% (G:0.21% B:0.00%)  

2.  XG Roller++  Bar/14  eq: +0.420 (0.007) 
 Player: Opponent:  74.70% (G:0.00% B:0.00%) 25.30% (G:0.22% B:0.00%)  

3.  XG Roller++  Bar/19 18/13  eq: +0.420 (0.007) 
 Player: Opponent:  74.68% (G:0.00% B:0.00%) 25.32% (G:0.22% B:0.00%)  

4.  XG Roller++  Bar/20 7/1*  eq: +0.304 (0.124) 
 Player: Opponent:  70.73% (G:0.00% B:0.00%) 29.27% (G:6.00% B:0.13%)  

5.  3ply  Bar/19 7/2  eq: +0.013 (0.414) 
 Player: Opponent:  58.86% (G:0.00% B:0.00%) 41.14% (G:13.64% B:0.15%)  




33: Cannot Move 

1.  3ply  Cannot Move  eq: 0.427 
 Player: Opponent:  24.99% (G:0.27% B:0.00%) 75.01% (G:0.00% B:0.00%)  




51: 12/6 

1.  XG Roller++  12/6  eq: +0.425 
 Player: Opponent:  74.90% (G:0.00% B:0.00%) 25.10% (G:0.21% B:0.00%)  

2.  XG Roller++  20/15 12/11  eq: +0.414 (0.011) 
 Player: Opponent:  74.40% (G:0.00% B:0.00%) 25.60% (G:0.19% B:0.00%)  

3.  XG Roller++  20/19 12/7  eq: +0.410 (0.015) 
 Player: Opponent:  74.25% (G:0.00% B:0.00%) 25.75% (G:0.17% B:0.00%)  

4.  XG Roller++  20/14  eq: +0.406 (0.019) 
 Player: Opponent:  74.08% (G:0.00% B:0.00%) 25.92% (G:0.26% B:0.00%)  

5.  XG Roller++  12/7 4/3  eq: +0.399 (0.026) 
 Player: Opponent:  73.74% (G:0.00% B:0.00%) 26.26% (G:0.20% B:0.00%)  




52: Cannot Move 

1.  3ply  Cannot Move  eq: 0.431 
 Player: Opponent:  24.83% (G:0.19% B:0.00%) 75.17% (G:0.00% B:0.00%)  




65: 20/14 6/1* 

1.  XG Roller++  7/1* 6/1  eq: +0.437 
 Player: Opponent:  75.30% (G:0.00% B:0.00%) 24.70% (G:0.00% B:0.00%)  

2.  XG Roller++  20/14 6/1*  eq: +0.423 (0.014) 
 Player: Opponent:  74.73% (G:0.00% B:0.00%) 25.27% (G:0.16% B:0.00%)  

3.  XG Roller++  20/9  eq: +0.397 (0.040) 
 Player: Opponent:  73.62% (G:0.00% B:0.00%) 26.38% (G:0.39% B:0.01%)  

4.  XG Roller++  20/15 7/1*  eq: +0.334 (0.103) 
 Player: Opponent:  71.53% (G:0.00% B:0.00%) 28.47% (G:4.16% B:0.06%)  

5.  XG Roller++  7/2 7/1*  eq: +0.301 (0.136) 
 Player: Opponent:  69.41% (G:0.00% B:0.00%) 30.59% (G:2.02% B:0.01%)  




53: Cannot Move 

1.  3ply  Cannot Move  eq: 0.406 
 Player: Opponent:  25.93% (G:0.12% B:0.00%) 74.07% (G:0.00% B:0.00%)  




53: 14/6 

1.  XG Roller++  14/6  eq: +0.428 
 Player: Opponent:  74.85% (G:0.00% B:0.00%) 25.15% (G:0.07% B:0.00%)  

2.  XG Roller++  14/9 4/1  eq: +0.418 (0.010) 
 Player: Opponent:  74.32% (G:0.00% B:0.00%) 25.68% (G:0.00% B:0.00%)  

3.  XG Roller++  7/2 4/1  eq: +0.389 (0.039) 
 Player: Opponent:  73.03% (G:0.00% B:0.00%) 26.97% (G:0.00% B:0.00%)  

4.  XG Roller++  14/11 7/2  eq: +0.295 (0.133) 
 Player: Opponent:  69.60% (G:0.00% B:0.00%) 30.40% (G:3.79% B:0.07%)  

5.  XG Roller++  14/9 7/4  eq: +0.267 (0.161) 
 Player: Opponent:  68.28% (G:0.00% B:0.00%) 31.72% (G:3.77% B:0.05%)  




32: Cannot Move 

1.  3ply  Cannot Move  eq: 0.407 
 Player: Opponent:  25.93% (G:0.00% B:0.00%) 74.07% (G:0.00% B:0.00%)  




32: 7/5 4/1 

1.  XG Roller++  7/5 4/1  eq: +0.490 
 Player: Opponent:  77.39% (G:0.00% B:0.00%) 22.61% (G:0.00% B:0.00%)  

2.  XG Roller++  6/1  eq: +0.390 (0.101) 
 Player: Opponent:  72.78% (G:0.00% B:0.00%) 27.22% (G:0.00% B:0.00%)  

3.  4ply  6/3 4/2  eq: +0.320 (0.171) 
 Player: Opponent:  70.27% (G:0.00% B:0.00%) 29.73% (G:0.17% B:0.00%)  

4.  4ply  7/5 6/3  eq: +0.312 (0.178) 
 Player: Opponent:  70.22% (G:0.00% B:0.00%) 29.78% (G:2.30% B:0.02%)  

5.  4ply  7/2  eq: +0.306 (0.185) 
 Player: Opponent:  69.96% (G:0.00% B:0.00%) 30.04% (G:2.36% B:0.02%)  




32: Cannot Move 

1.  3ply  Cannot Move  eq: 0.486 
 Player: Opponent:  22.50% (G:0.00% B:0.00%) 77.50% (G:0.00% B:0.00%)  




31: 7/3 

1.  XG Roller++  7/3  eq: +0.500 
 Player: Opponent:  77.68% (G:0.00% B:0.00%) 22.32% (G:0.00% B:0.00%)  

2.  XG Roller++  6/2  eq: +0.439 (0.061) 
 Player: Opponent:  74.91% (G:0.00% B:0.00%) 25.09% (G:0.00% B:0.00%)  

3.  XG Roller++  6/3 5/4  eq: +0.423 (0.077) 
 Player: Opponent:  74.20% (G:0.00% B:0.00%) 25.80% (G:0.00% B:0.00%)  

4.  XG Roller++  7/6 5/2  eq: +0.422 (0.078) 
 Player: Opponent:  74.20% (G:0.00% B:0.00%) 25.80% (G:0.00% B:0.00%)  

5.  XG Roller++  5/1  eq: +0.421 (0.079) 
 Player: Opponent:  74.17% (G:0.00% B:0.00%) 25.83% (G:0.00% B:0.00%)  




21: Cannot Move 

1.  3ply  Cannot Move  eq: 0.494 
 Player: Opponent:  22.11% (G:0.00% B:0.00%) 77.89% (G:0.00% B:0.00%)  




61: 6/Off 5/4 

1.  XG Roller++  6/Off 5/4  eq: +0.494 
 Player: Opponent:  77.40% (G:0.00% B:0.00%) 22.60% (G:0.00% B:0.00%)  

2.  XG Roller++  6/Off 3/2  eq: +0.457 (0.038) 
 Player: Opponent:  75.71% (G:0.00% B:0.00%) 24.29% (G:0.00% B:0.00%)  

3.  4ply  6/Off 1/Off  eq: +0.278 (0.216) 
 Player: Opponent:  68.43% (G:0.00% B:0.00%) 31.57% (G:0.00% B:0.00%)  

4.  3ply  6/Off 2/1  eq: +0.048 (0.446) 
 Player: Opponent:  58.70% (G:0.00% B:0.00%) 41.30% (G:0.00% B:0.00%)  

5.  3ply  6/5 6/Off  eq: 0.026 (0.520) 
 Player: Opponent:  55.32% (G:0.00% B:0.00%) 44.68% (G:0.00% B:0.00%)  




53: Cannot Move 

1.  3ply  Cannot Move  eq: 0.496 
 Player: Opponent:  22.39% (G:0.00% B:0.00%) 77.61% (G:0.00% B:0.00%)  




64: 6/2 6/Off 

1.  4ply  6/2 6/Off  eq: +0.468 
 Player: Opponent:  75.97% (G:0.00% B:0.00%) 24.03% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/Off  eq: +0.221 (0.247) 
 Player: Opponent:  65.66% (G:0.00% B:0.00%) 34.34% (G:0.00% B:0.00%)  

3.  2ply  6/Off 5/1  eq: 0.211 (0.679) 
 Player: Opponent:  46.21% (G:0.00% B:0.00%) 53.79% (G:0.00% B:0.00%)  




51: Cannot Move 

1.  3ply  Cannot Move  eq: 0.670 
 Player: Opponent:  14.69% (G:0.00% B:0.00%) 85.31% (G:0.00% B:0.00%)  




11: 2/Off 1/Off(2) 

1.  XG Roller++  2/Off 1/Off(2)  eq: +0.710 
 Player: Opponent:  87.01% (G:0.00% B:0.00%) 12.99% (G:0.00% B:0.00%)  

2.  XG Roller++  4/Off  eq: +0.657 (0.053) 
 Player: Opponent:  84.83% (G:0.00% B:0.00%) 15.17% (G:0.00% B:0.00%)  

3.  XG Roller++  4/2 1/Off(2)  eq: +0.621 (0.089) 
 Player: Opponent:  83.17% (G:0.00% B:0.00%) 16.83% (G:0.00% B:0.00%)  

4.  XG Roller++  3/Off 2/1  eq: +0.618 (0.092) 
 Player: Opponent:  83.06% (G:0.00% B:0.00%) 16.94% (G:0.00% B:0.00%)  

5.  XG Roller++  5/4(2) 1/Off(2)  eq: +0.559 (0.152) 
 Player: Opponent:  80.38% (G:0.00% B:0.00%) 19.62% (G:0.00% B:0.00%)  




54: Cannot Move 

1.  3ply  Cannot Move  eq: 0.801 
 Player: Opponent:  8.79% (G:0.00% B:0.00%) 91.21% (G:0.00% B:0.00%)  




63: 5/2 5/Off 

1.  3ply  5/2 5/Off  eq: +0.872 
 Player: Opponent:  94.32% (G:0.00% B:0.00%) 5.68% (G:0.00% B:0.00%)  

2.  3ply  5/Off 3/Off  eq: +0.529 (0.343) 
 Player: Opponent:  79.31% (G:0.00% B:0.00%) 20.69% (G:0.00% B:0.00%)  

3.  2ply  5/Off 4/1  eq: +0.192 (0.680) 
 Player: Opponent:  64.69% (G:0.00% B:0.00%) 35.31% (G:0.00% B:0.00%)  




55: Bar/5 

1.  3ply  Bar/5  eq: 0.260 
 Player: Opponent:  32.84% (G:0.00% B:0.00%) 67.16% (G:0.00% B:0.00%)  




62: 4/Off 2/Off 

1.  4ply  4/Off 2/Off  eq: +0.228 
 Player: Opponent:  65.29% (G:0.00% B:0.00%) 34.71% (G:0.00% B:0.00%)  

2.  4ply  4/Off 3/1  eq: +0.115 (0.113) 
 Player: Opponent:  60.10% (G:0.00% B:0.00%) 39.90% (G:0.00% B:0.00%)  

3.  3ply  4/2 4/Off  eq: 0.202 (0.430) 
 Player: Opponent:  47.33% (G:0.00% B:0.00%) 52.67% (G:0.00% B:0.00%)  




53: 5/Off 2/Off 

1.  4ply  5/Off 2/Off  eq: 0.116 
 Player: Opponent:  39.75% (G:0.00% B:0.00%) 60.25% (G:0.00% B:0.00%)  

2.  4ply  5/Off  eq: 0.722 (0.606) 
 Player: Opponent:  12.40% (G:0.00% B:0.00%) 87.60% (G:0.00% B:0.00%)  




21: 2/1 2/Off 

1.  XG Roller++  3/Off  eq: 0.438 
 Player: Opponent:  35.00% (G:0.00% B:0.00%) 65.00% (G:0.00% B:0.00%)  

2.  XG Roller++  2/1 2/Off  eq: 0.502 (0.064) 
 Player: Opponent:  32.71% (G:0.00% B:0.00%) 67.29% (G:0.00% B:0.00%)  

3.  4ply  4/3 2/Off  eq: 0.544 (0.106) 
 Player: Opponent:  30.72% (G:0.00% B:0.00%) 69.28% (G:0.00% B:0.00%)  

4.  4ply  4/2 3/2  eq: 0.886 (0.448) 
 Player: Opponent:  20.58% (G:0.00% B:0.00%) 79.42% (G:0.00% B:0.00%)  

5.  3ply  4/3 4/2  eq: 0.944 (0.506) 
 Player: Opponent:  19.76% (G:0.00% B:0.00%) 80.24% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
67.29% (G:0.00% B:0.00%) 
67.29% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
32.71% (G:0.00% B:0.00%) 
32.71% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.346 
+0.513 
Cubeful Equities 
No redouble:  +0.502  
Redouble/Take:  +0.358 (0.144)  
Redouble/Pass:  +1.000 (+0.498) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 18.3% 



64: 2/Off(2) 

1.  3ply  2/Off(2)  eq: +0.429 
 Player: Opponent:  63.33% (G:0.00% B:0.00%) 36.67% (G:0.00% B:0.00%)  




62: 4/2 4/Off 

1.  4ply  4/2 4/Off  eq: 1.000 
 Player: Opponent:  15.38% (G:0.00% B:0.00%) 84.62% (G:0.00% B:0.00%)  

2.  4ply  4/Off 3/1  eq: 1.000 
 Player: Opponent:  15.38% (G:0.00% B:0.00%) 84.62% (G:0.00% B:0.00%)  




Double/Pass 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
84.69% (G:0.00% B:0.00%) 
84.62% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
15.31% (G:0.00% B:0.00%) 
15.38% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.694 
+1.193 
Cubeful Equities 
No redouble:  +0.846 (0.154)  
Redouble/Take:  +1.193 (+0.193)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 



Wins 4pts. 


