
41: 24/23 13/9 

1.  Book^{1}  24/23 13/9  eq: +0.000 
 Player: Opponent:  49.74% (G:13.62% B:0.56%) 50.26% (G:13.22% B:0.55%)  

2.  Book^{1}  13/9 6/5  eq: 0.038 (0.039) 
 Player: Opponent:  49.22% (G:13.51% B:0.56%) 50.78% (G:14.34% B:0.90%)  

3.  Book^{1}  24/23 24/20  eq: 0.043 (0.043) 
 Player: Opponent:  48.83% (G:12.25% B:0.55%) 51.17% (G:13.13% B:0.48%)  

4.  Book^{1}  13/8  eq: 0.051 (0.051) 
 Player: Opponent:  48.77% (G:13.21% B:0.61%) 51.23% (G:14.09% B:0.62%)  

5.  Book^{1}  24/20 6/5  eq: 0.064 (0.064) 
 Player: Opponent:  48.70% (G:12.26% B:0.48%) 51.30% (G:14.03% B:0.65%)  


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




41: 6/2* 2/1* 

1.  XG Roller++  6/2* 2/1*  eq: 0.145 
 Player: Opponent:  46.64% (G:12.60% B:0.41%) 53.36% (G:15.41% B:0.81%)  

2.  XG Roller++  24/23 13/9  eq: 0.191 (0.045) 
 Player: Opponent:  45.73% (G:11.89% B:0.49%) 54.27% (G:16.14% B:0.78%)  

3.  XG Roller++  24/23 6/2*  eq: 0.195 (0.049) 
 Player: Opponent:  45.68% (G:11.25% B:0.43%) 54.32% (G:15.84% B:0.77%)  

4.  XG Roller++  24/23 24/20  eq: 0.197 (0.051) 
 Player: Opponent:  45.86% (G:10.57% B:0.44%) 54.14% (G:15.70% B:0.56%)  

5.  XG Roller++  13/8  eq: 0.210 (0.064) 
 Player: Opponent:  45.29% (G:11.10% B:0.40%) 54.71% (G:15.99% B:0.73%)  




62: Bar/23 

1.  3ply  Bar/23  eq: 0.094 
 Player: Opponent:  48.44% (G:12.88% B:0.65%) 51.56% (G:16.72% B:0.60%)  




42: 8/4 6/4 

1.  XG Roller++  8/4 6/4  eq: 0.005 
 Player: Opponent:  49.70% (G:15.10% B:0.54%) 50.30% (G:14.56% B:0.75%)  

2.  XG Roller++  24/20 13/11  eq: 0.109 (0.105) 
 Player: Opponent:  47.85% (G:12.60% B:0.45%) 52.15% (G:15.28% B:0.82%)  

3.  XG Roller++  24/22 24/20  eq: 0.143 (0.138) 
 Player: Opponent:  46.95% (G:11.35% B:0.38%) 53.05% (G:14.76% B:0.61%)  

4.  XG Roller++  24/22 13/9  eq: 0.164 (0.159) 
 Player: Opponent:  46.44% (G:12.42% B:0.46%) 53.56% (G:16.27% B:0.89%)  

5.  4ply  24/20 8/6  eq: 0.172 (0.168) 
 Player: Opponent:  45.86% (G:11.66% B:0.41%) 54.14% (G:15.01% B:0.71%)  




54: Bar/20 13/9 

1.  4ply  Bar/20 13/9  eq: +0.071 
 Player: Opponent:  52.40% (G:14.19% B:0.82%) 47.60% (G:14.72% B:0.44%)  

2.  4ply  Bar/20 9/5  eq: 0.163 (0.234) 
 Player: Opponent:  47.24% (G:13.04% B:0.76%) 52.76% (G:19.41% B:0.81%)  

3.  4ply  Bar/16  eq: 0.168 (0.239) 
 Player: Opponent:  47.59% (G:11.82% B:0.66%) 52.41% (G:19.48% B:0.68%)  

4.  4ply  Bar/20 8/4  eq: 0.226 (0.297) 
 Player: Opponent:  45.96% (G:12.65% B:0.69%) 54.04% (G:20.62% B:1.13%)  

5.  4ply  Bar/20 6/2  eq: 0.245 (0.316) 
 Player: Opponent:  45.40% (G:12.25% B:0.64%) 54.60% (G:20.11% B:0.98%)  




53: 24/21 6/1 

1.  XG Roller++  13/5*  eq: 0.155 
 Player: Opponent:  46.10% (G:14.11% B:0.42%) 53.90% (G:16.09% B:1.11%)  

2.  XG Roller++  24/21 6/1  eq: 0.196 (0.041) 
 Player: Opponent:  44.89% (G:12.05% B:0.27%) 55.11% (G:14.76% B:0.59%)  

3.  XG Roller++  24/21 13/8  eq: 0.219 (0.064) 
 Player: Opponent:  44.57% (G:11.53% B:0.30%) 55.43% (G:15.29% B:0.67%)  

4.  XG Roller++  8/5* 6/1  eq: 0.220 (0.065) 
 Player: Opponent:  44.31% (G:15.28% B:0.33%) 55.69% (G:16.58% B:1.13%)  

5.  XG Roller++  13/10 6/1  eq: 0.242 (0.087) 
 Player: Opponent:  43.41% (G:12.93% B:0.26%) 56.59% (G:15.02% B:0.79%)  




31: 8/5 6/5 

1.  4ply  8/5 6/5  eq: +0.278 
 Player: Opponent:  57.90% (G:15.21% B:0.69%) 42.10% (G:12.36% B:0.27%)  

2.  4ply  23/20 6/5  eq: +0.005 (0.273) 
 Player: Opponent:  50.06% (G:10.45% B:0.33%) 49.94% (G:10.45% B:0.22%)  

3.  3ply  13/9  eq: 0.049 (0.327) 
 Player: Opponent:  49.96% (G:12.22% B:0.57%) 50.04% (G:16.41% B:0.30%)  

4.  3ply  23/20 8/7  eq: 0.120 (0.398) 
 Player: Opponent:  46.44% (G:10.30% B:0.38%) 53.56% (G:11.48% B:0.20%)  

5.  3ply  23/20 9/8  eq: 0.138 (0.416) 
 Player: Opponent:  45.85% (G:8.94% B:0.30%) 54.15% (G:10.12% B:0.17%)  




41: 13/8 

1.  XG Roller++  13/8  eq: 0.497 
 Player: Opponent:  37.88% (G:9.81% B:0.21%) 62.12% (G:18.59% B:0.71%)  

2.  XG Roller++  24/23 13/9  eq: 0.601 (0.104) 
 Player: Opponent:  35.06% (G:9.17% B:0.22%) 64.94% (G:20.35% B:1.01%)  

3.  3ply  6/5* 6/2*  eq: 0.835 (0.339) 
 Player: Opponent:  31.86% (G:9.54% B:0.18%) 68.14% (G:24.30% B:1.68%)  

4.  3ply  8/7 8/4  eq: 0.899 (0.403) 
 Player: Opponent:  31.03% (G:8.37% B:0.23%) 68.97% (G:24.56% B:1.47%)  

5.  3ply  24/23 8/4  eq: 1.000 (0.503) 
 Player: Opponent:  28.65% (G:7.23% B:0.20%) 71.35% (G:24.96% B:1.40%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
62.02% (G:18.34% B:0.70%) 
62.18% (G:18.56% B:0.72%) 
Opponent Winning Chances: 
37.98% (G:9.81% B:0.22%) 
37.82% (G:10.25% B:0.22%) 
Cubeless Equities 
+0.332 
+0.677 
Cubeful Equities 
No double:  +0.489  
Double/Take:  +0.395 (0.094)  
Double/Pass:  +1.000 (+0.511) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.5% 



32: 23/20 6/4* 

1.  4ply  23/20 6/4*  eq: +0.543 
 Player: Opponent:  62.47% (G:17.90% B:0.58%) 37.53% (G:8.39% B:0.17%)  

2.  4ply  23/20 13/11  eq: +0.360 (0.183) 
 Player: Opponent:  58.77% (G:14.23% B:0.46%) 41.23% (G:7.31% B:0.16%)  

3.  4ply  6/4* 4/1*  eq: +0.355 (0.188) 
 Player: Opponent:  58.20% (G:20.48% B:0.54%) 41.80% (G:12.76% B:0.44%)  

4.  4ply  13/10 6/4*  eq: +0.265 (0.277) 
 Player: Opponent:  57.88% (G:17.87% B:0.87%) 42.12% (G:16.95% B:0.89%)  

5.  3ply  13/8  eq: +0.203 (0.340) 
 Player: Opponent:  56.24% (G:14.77% B:0.61%) 43.76% (G:13.41% B:0.23%)  




43: Bar/21* 24/21 

1.  XG Roller++  Bar/21* 24/21  eq: 0.099 
 Player: Opponent:  46.89% (G:10.09% B:0.16%) 53.11% (G:10.75% B:0.35%)  

2.  XG Roller++  Bar/21* 21/18  eq: 0.141 (0.042) 
 Player: Opponent:  46.60% (G:11.64% B:0.23%) 53.40% (G:13.88% B:0.51%)  

3.  XG Roller++  Bar/21* 13/10  eq: 0.266 (0.167) 
 Player: Opponent:  42.78% (G:11.21% B:0.24%) 57.22% (G:14.42% B:0.62%)  

4.  2ply  Bar/21* 4/1  eq: 0.861 (0.762) 
 Player: Opponent:  30.81% (G:6.81% B:0.09%) 69.19% (G:21.01% B:1.01%)  

5.  2ply  Bar/22 8/4  eq: 0.928 (0.829) 
 Player: Opponent:  30.34% (G:6.19% B:0.11%) 69.66% (G:22.84% B:0.87%)  




64: Cannot Move 

1.  3ply  Cannot Move  eq: 0.000 
 Player: Opponent:  50.24% (G:10.71% B:0.34%) 49.76% (G:11.24% B:0.16%)  




21: 13/10 

1.  XG Roller++  13/10  eq: 0.116 
 Player: Opponent:  46.03% (G:10.99% B:0.19%) 53.97% (G:10.94% B:0.37%)  

2.  XG Roller++  13/11 8/7  eq: 0.216 (0.100) 
 Player: Opponent:  43.53% (G:10.88% B:0.20%) 56.47% (G:11.92% B:0.42%)  

3.  XG Roller++  8/7 8/6  eq: 0.260 (0.144) 
 Player: Opponent:  42.35% (G:10.28% B:0.16%) 57.65% (G:12.12% B:0.42%)  

4.  3ply  8/6 4/3  eq: 0.461 (0.345) 
 Player: Opponent:  37.49% (G:7.87% B:0.15%) 62.51% (G:13.35% B:0.52%)  

5.  3ply  4/3 4/2  eq: 0.479 (0.363) 
 Player: Opponent:  37.04% (G:7.57% B:0.13%) 62.96% (G:13.35% B:0.55%)  




21: Bar/22 

1.  XG Roller++  Bar/22  eq: +0.090 
 Player: Opponent:  52.97% (G:11.02% B:0.36%) 47.03% (G:11.16% B:0.21%)  

2.  XG Roller++  Bar/23 6/5  eq: +0.063 (0.028) 
 Player: Opponent:  52.41% (G:11.36% B:0.37%) 47.59% (G:12.48% B:0.25%)  

3.  4ply  Bar/23 9/8  eq: 0.129 (0.220) 
 Player: Opponent:  47.83% (G:10.54% B:0.37%) 52.17% (G:15.82% B:0.36%)  

4.  4ply  Bar/23 8/7  eq: 0.214 (0.304) 
 Player: Opponent:  47.38% (G:11.30% B:0.45%) 52.62% (G:22.31% B:0.68%)  




54: 13/8 10/6 

1.  XG Roller++  13/8 10/6  eq: 0.152 
 Player: Opponent:  45.14% (G:10.62% B:0.16%) 54.86% (G:11.08% B:0.37%)  

2.  XG Roller++  10/6 8/3*  eq: 0.199 (0.047) 
 Player: Opponent:  43.66% (G:11.66% B:0.17%) 56.34% (G:11.75% B:0.42%)  

3.  XG Roller++  13/4  eq: 0.317 (0.165) 
 Player: Opponent:  40.54% (G:11.32% B:0.24%) 59.46% (G:12.46% B:0.47%)  

4.  4ply  10/1  eq: 0.321 (0.169) 
 Player: Opponent:  41.04% (G:8.53% B:0.09%) 58.96% (G:12.88% B:0.39%)  

5.  4ply  13/9 8/3*  eq: 0.396 (0.244) 
 Player: Opponent:  39.15% (G:11.26% B:0.22%) 60.85% (G:15.05% B:0.57%)  




41: 13/8 

1.  XG Roller++  13/8  eq: +0.092 
 Player: Opponent:  53.30% (G:11.48% B:0.41%) 46.70% (G:12.72% B:0.21%)  

2.  XG Roller++  13/9 6/5  eq: +0.073 (0.019) 
 Player: Opponent:  52.75% (G:11.23% B:0.41%) 47.25% (G:12.97% B:0.21%)  

3.  XG Roller++  22/18 6/5  eq: +0.062 (0.031) 
 Player: Opponent:  52.73% (G:10.36% B:0.34%) 47.27% (G:12.37% B:0.19%)  

4.  4ply  9/8 9/5  eq: 0.121 (0.213) 
 Player: Opponent:  47.14% (G:10.09% B:0.35%) 52.86% (G:13.14% B:0.22%)  

5.  4ply  6/1  eq: 0.226 (0.318) 
 Player: Opponent:  45.00% (G:10.11% B:0.31%) 55.00% (G:16.76% B:0.34%)  




31: 8/4 

1.  XG Roller++  8/4  eq: 0.170 
 Player: Opponent:  44.51% (G:11.01% B:0.15%) 55.49% (G:11.06% B:0.40%)  

2.  XG Roller++  6/3* 4/3  eq: 0.263 (0.092) 
 Player: Opponent:  42.37% (G:10.69% B:0.16%) 57.63% (G:12.26% B:0.44%)  

3.  XG Roller++  6/3* 3/2  eq: 0.263 (0.093) 
 Player: Opponent:  42.16% (G:10.91% B:0.16%) 57.84% (G:12.26% B:0.45%)  

4.  XG Roller++  8/7 6/3*  eq: 0.274 (0.103) 
 Player: Opponent:  42.09% (G:11.45% B:0.19%) 57.91% (G:12.57% B:0.47%)  

5.  3ply  4/1 4/3*  eq: 0.474 (0.304) 
 Player: Opponent:  37.21% (G:8.45% B:0.14%) 62.79% (G:14.22% B:0.51%)  




41: 22/18 6/5 

1.  XG Roller++  22/18 6/5  eq: +0.130 
 Player: Opponent:  54.39% (G:11.14% B:0.39%) 45.61% (G:12.56% B:0.20%)  

2.  XG Roller++  8/3  eq: 0.038 (0.168) 
 Player: Opponent:  50.39% (G:12.22% B:0.46%) 49.61% (G:15.81% B:0.33%)  

3.  4ply  22/18 8/7  eq: 0.058 (0.189) 
 Player: Opponent:  51.31% (G:10.97% B:0.46%) 48.69% (G:18.91% B:0.35%)  

4.  4ply  13/9 6/5  eq: 0.136 (0.267) 
 Player: Opponent:  48.43% (G:10.50% B:0.45%) 51.57% (G:17.52% B:0.29%)  

5.  4ply  9/8 9/5  eq: 0.157 (0.287) 
 Player: Opponent:  45.92% (G:10.16% B:0.37%) 54.08% (G:13.23% B:0.22%)  




61: 21/15 8/7* 

1.  XG Roller++  21/15 8/7*  eq: 0.038 
 Player: Opponent:  47.62% (G:16.93% B:0.35%) 52.38% (G:14.45% B:0.73%)  

2.  XG Roller++  13/7* 8/7  eq: 0.076 (0.037) 
 Player: Opponent:  46.48% (G:14.62% B:0.23%) 53.52% (G:10.64% B:0.39%)  

3.  XG Roller++  13/7* 7/6  eq: 0.157 (0.119) 
 Player: Opponent:  44.51% (G:13.05% B:0.17%) 55.49% (G:10.77% B:0.37%)  

4.  4ply  8/7* 7/1  eq: 0.237 (0.198) 
 Player: Opponent:  42.57% (G:12.68% B:0.15%) 57.43% (G:13.79% B:0.45%)  

5.  4ply  8/2 4/3  eq: 0.251 (0.212) 
 Player: Opponent:  42.32% (G:10.31% B:0.12%) 57.68% (G:12.05% B:0.41%)  




53: Bar/20 13/10* 

1.  4ply  Bar/20 13/10*  eq: +0.224 
 Player: Opponent:  57.13% (G:15.77% B:0.74%) 42.87% (G:15.42% B:0.35%)  

2.  4ply  Bar/22 9/4*  eq: 0.052 (0.277) 
 Player: Opponent:  51.02% (G:16.54% B:1.07%) 48.98% (G:24.63% B:0.71%)  

3.  3ply  Bar/20 8/5  eq: 0.099 (0.324) 
 Player: Opponent:  46.74% (G:10.63% B:0.38%) 53.26% (G:10.72% B:0.17%)  

4.  3ply  Bar/20 5/2  eq: 0.196 (0.420) 
 Player: Opponent:  44.25% (G:10.03% B:0.37%) 55.75% (G:12.40% B:0.21%)  

5.  3ply  Bar/20 9/6  eq: 0.301 (0.525) 
 Player: Opponent:  42.48% (G:9.71% B:0.36%) 57.52% (G:14.69% B:0.21%)  




54: Bar/21 7/2 

1.  XG Roller++  Bar/21 7/2  eq: 0.291 
 Player: Opponent:  41.75% (G:9.75% B:0.11%) 58.25% (G:11.80% B:0.44%)  

2.  XG Roller++  Bar/21 8/3  eq: 0.452 (0.161) 
 Player: Opponent:  37.85% (G:9.55% B:0.16%) 62.15% (G:14.07% B:0.63%)  

3.  4ply  Bar/21 13/8  eq: 0.516 (0.225) 
 Player: Opponent:  35.32% (G:7.50% B:0.12%) 64.68% (G:11.96% B:0.38%)  

4.  4ply  Bar/21 6/1  eq: 0.526 (0.235) 
 Player: Opponent:  35.78% (G:7.59% B:0.09%) 64.22% (G:13.54% B:0.48%)  




52: 20/13 

1.  4ply  20/13  eq: +0.194 
 Player: Opponent:  56.15% (G:11.52% B:0.43%) 43.85% (G:11.58% B:0.16%)  

2.  4ply  13/8 10/8  eq: +0.034 (0.160) 
 Player: Opponent:  50.51% (G:10.31% B:0.38%) 49.49% (G:9.27% B:0.14%)  

3.  4ply  13/11 10/5  eq: +0.020 (0.174) 
 Player: Opponent:  50.40% (G:10.98% B:0.42%) 49.60% (G:10.44% B:0.17%)  

4.  4ply  13/6  eq: 0.002 (0.197) 
 Player: Opponent:  50.68% (G:10.54% B:0.44%) 49.32% (G:12.13% B:0.18%)  

5.  4ply  10/3  eq: 0.041 (0.235) 
 Player: Opponent:  49.66% (G:11.11% B:0.48%) 50.34% (G:13.82% B:0.24%)  




54: 13/8 6/2 

1.  XG Roller++  8/3 6/2  eq: 0.460 
 Player: Opponent:  37.53% (G:8.99% B:0.11%) 62.47% (G:13.17% B:0.51%)  

2.  XG Roller++  13/8 6/2  eq: 0.503 (0.043) 
 Player: Opponent:  36.24% (G:7.91% B:0.09%) 63.76% (G:11.29% B:0.40%)  

3.  XG Roller++  8/4 8/3  eq: 0.532 (0.072) 
 Player: Opponent:  35.79% (G:7.92% B:0.09%) 64.21% (G:12.98% B:0.47%)  

4.  XG Roller++  13/9 13/8  eq: 0.540 (0.081) 
 Player: Opponent:  34.89% (G:7.61% B:0.09%) 65.11% (G:10.67% B:0.38%)  

5.  XG Roller++  13/4  eq: 0.602 (0.143) 
 Player: Opponent:  33.87% (G:7.35% B:0.10%) 66.13% (G:12.51% B:0.49%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
63.94% (G:11.51% B:0.41%) 
64.05% (G:11.65% B:0.42%) 
Opponent Winning Chances: 
36.06% (G:7.94% B:0.10%) 
35.95% (G:7.89% B:0.11%) 
Cubeless Equities 
+0.318 
+0.653 
Cubeful Equities 
No double:  +0.519  
Double/Take:  +0.404 (0.115)  
Double/Pass:  +1.000 (+0.481) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.1% 



62: 20/12* 

1.  XG Roller++  20/12*  eq: +0.311 
 Player: Opponent:  61.56% (G:10.76% B:0.37%) 38.44% (G:16.53% B:0.41%)  

2.  XG Roller++  10/2  eq: +0.235 (0.075) 
 Player: Opponent:  56.13% (G:11.49% B:0.37%) 43.87% (G:9.35% B:0.14%)  

3.  3ply  8/2 5/3  eq: 0.056 (0.366) 
 Player: Opponent:  50.29% (G:9.67% B:0.31%) 49.71% (G:14.58% B:0.18%)  

4.  3ply  13/7 10/8  eq: 0.145 (0.456) 
 Player: Opponent:  48.44% (G:9.24% B:0.36%) 51.56% (G:19.68% B:0.24%)  

5.  3ply  10/8 9/3  eq: 0.168 (0.478) 
 Player: Opponent:  46.85% (G:8.78% B:0.29%) 53.15% (G:13.94% B:0.16%)  




62: Bar/23 21/15* 

1.  3ply  Bar/23 21/15*  eq: +0.287 
 Player: Opponent:  50.67% (G:29.70% B:0.93%) 49.33% (G:11.53% B:0.55%)  

2.  2ply  Bar/23 8/2  eq: 0.912 (1.198) 
 Player: Opponent:  27.04% (G:4.83% B:0.03%) 72.96% (G:12.97% B:0.44%)  




31: Bar/22 5/4* 

1.  4ply  Bar/22 5/4*  eq: 0.117 
 Player: Opponent:  52.32% (G:13.21% B:0.57%) 47.68% (G:31.54% B:1.77%)  

2.  4ply  Bar/22 13/12  eq: 0.378 (0.262) 
 Player: Opponent:  44.71% (G:10.29% B:0.54%) 55.29% (G:34.30% B:0.98%)  

3.  4ply  Bar/22 12/11  eq: 0.409 (0.292) 
 Player: Opponent:  44.11% (G:10.05% B:0.51%) 55.89% (G:34.94% B:0.95%)  

4.  2ply  Bar/22 8/7  eq: 0.905 (0.788) 
 Player: Opponent:  38.86% (G:8.63% B:0.48%) 61.14% (G:44.05% B:3.03%)  

5.  2ply  Bar/22 9/8  eq: 1.000 (0.883) 
 Player: Opponent:  35.60% (G:8.30% B:0.45%) 64.40% (G:44.64% B:2.87%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
48.50% (G:32.60% B:1.66%) 
48.56% (G:32.86% B:1.74%) 
Opponent Winning Chances: 
51.50% (G:13.06% B:0.56%) 
51.44% (G:12.97% B:0.55%) 
Cubeless Equities 
+0.181 
+0.386 
Cubeful Equities 
No double:  +0.138  
Double/Take:  0.011 (0.149)  
Double/Pass:  +1.000 (+0.862) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.9% 



42: Bar/21* 15/13* 

1.  4ply  Bar/21* 15/13*  eq: +0.612 
 Player: Opponent:  59.12% (G:43.58% B:1.91%) 40.88% (G:9.15% B:0.42%)  

2.  4ply  Bar/21* 8/6  eq: +0.379 (0.233) 
 Player: Opponent:  54.38% (G:37.73% B:1.68%) 45.62% (G:11.02% B:0.45%)  

3.  4ply  Bar/21* 23/21  eq: +0.332 (0.280) 
 Player: Opponent:  52.86% (G:33.53% B:1.57%) 47.14% (G:10.88% B:0.33%)  

4.  3ply  Bar/21* 4/2  eq: +0.161 (0.451) 
 Player: Opponent:  47.33% (G:29.12% B:1.17%) 52.67% (G:12.91% B:0.45%)  

5.  1ply  Bar/21* 6/4  eq: 0.718 (1.329) 
 Player: Opponent:  30.80% (G:13.44% B:0.51%) 69.20% (G:20.30% B:1.07%)  




51: Bar/20 

1.  3ply  Bar/20  eq: 0.505 
 Player: Opponent:  43.40% (G:9.56% B:0.43%) 56.60% (G:38.03% B:0.47%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
55.33% (G:37.58% B:0.37%) 
55.38% (G:38.13% B:0.31%) 
Opponent Winning Chances: 
44.67% (G:9.38% B:0.37%) 
44.62% (G:9.20% B:0.34%) 
Cubeless Equities 
+0.394 
+0.826 
Cubeful Equities 
No double:  +0.444  
Double/Take:  +0.441 (0.003)  
Double/Pass:  +1.000 (+0.556) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 0.6% 



42: 23/21 13/9 

1.  XG Roller++  13/9 8/6  eq: +0.148 
 Player: Opponent:  46.85% (G:30.08% B:0.37%) 53.15% (G:12.79% B:0.46%)  

2.  XG Roller++  13/7  eq: +0.105 (0.043) 
 Player: Opponent:  46.65% (G:29.37% B:0.33%) 53.35% (G:12.71% B:0.48%)  

3.  XG Roller++  23/21 13/9  eq: +0.085 (0.063) 
 Player: Opponent:  46.56% (G:28.21% B:0.32%) 53.44% (G:12.36% B:0.43%)  

4.  4ply  23/21 8/4  eq: 0.008 (0.156) 
 Player: Opponent:  45.58% (G:26.72% B:0.35%) 54.42% (G:14.06% B:0.43%)  

5.  4ply  13/11 8/4  eq: 0.046 (0.194) 
 Player: Opponent:  44.39% (G:26.90% B:0.34%) 55.61% (G:14.09% B:0.51%)  




32: Bar/22 8/6 

1.  XG Roller++  Bar/22 8/6  eq: +0.496 
 Player: Opponent:  64.67% (G:15.81% B:0.64%) 35.33% (G:14.58% B:0.27%)  

2.  XG Roller++  Bar/22 13/11  eq: +0.449 (0.047) 
 Player: Opponent:  64.05% (G:15.78% B:0.59%) 35.95% (G:16.59% B:0.30%)  

3.  XG Roller++  Bar/20  eq: +0.006 (0.490) 
 Player: Opponent:  54.62% (G:11.25% B:0.35%) 45.38% (G:25.40% B:0.21%)  

4.  3ply  Bar/22 9/7  eq: +0.068 (0.428) 
 Player: Opponent:  56.64% (G:14.06% B:0.51%) 43.36% (G:25.75% B:0.50%)  

5.  3ply  Bar/22 5/3  eq: +0.030 (0.466) 
 Player: Opponent:  55.20% (G:13.55% B:0.48%) 44.80% (G:24.87% B:0.48%)  




65: 21/15 9/4 

1.  XG Roller++  21/15 9/4  eq: 0.473 
 Player: Opponent:  35.43% (G:16.28% B:0.28%) 64.57% (G:16.19% B:0.62%)  

2.  XG Roller++  21/10  eq: 0.561 (0.087) 
 Player: Opponent:  33.62% (G:13.96% B:0.27%) 66.38% (G:16.69% B:0.67%)  

3.  XG Roller++  9/4 8/2  eq: 0.602 (0.129) 
 Player: Opponent:  33.46% (G:14.20% B:0.18%) 66.54% (G:17.20% B:0.65%)  

4.  3ply  8/2 6/1  eq: 1.000 (0.527) 
 Player: Opponent:  22.55% (G:5.59% B:0.09%) 77.45% (G:24.24% B:0.89%)  

5.  2ply  21/15 6/1  eq: 1.089 (0.616) 
 Player: Opponent:  19.74% (G:8.13% B:0.23%) 80.26% (G:34.08% B:3.07%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
65.03% (G:16.24% B:0.64%) 
65.10% (G:16.42% B:0.67%) 
Opponent Winning Chances: 
34.97% (G:16.17% B:0.28%) 
34.90% (G:16.44% B:0.28%) 
Cubeless Equities 
+0.305 
+0.617 
Cubeful Equities 
No double:  +0.498  
Double/Take:  +0.379 (0.119)  
Double/Pass:  +1.000 (+0.502) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.1% 



54: 9/4* 8/4 

1.  XG Roller++  9/4* 8/4  eq: +0.482 
 Player: Opponent:  64.63% (G:16.87% B:0.65%) 35.37% (G:16.49% B:0.38%)  

2.  XG Roller++  20/16 20/15  eq: 0.106 (0.588) 
 Player: Opponent:  52.40% (G:8.90% B:0.29%) 47.60% (G:26.49% B:0.36%)  

3.  3ply  13/4*  eq: +0.119 (0.363) 
 Player: Opponent:  57.74% (G:13.27% B:0.53%) 42.26% (G:23.68% B:0.41%)  

4.  3ply  9/5 9/4*  eq: +0.111 (0.371) 
 Player: Opponent:  56.75% (G:13.92% B:0.56%) 43.25% (G:22.54% B:0.38%)  

5.  3ply  13/9 13/8  eq: +0.064 (0.418) 
 Player: Opponent:  54.71% (G:11.38% B:0.38%) 45.29% (G:18.25% B:0.21%)  




21: Bar/23 15/14 

1.  XG Roller++  Bar/23 15/14  eq: 0.487 
 Player: Opponent:  35.63% (G:15.48% B:0.33%) 64.37% (G:16.68% B:0.63%)  

2.  XG Roller++  Bar/22  eq: 0.533 (0.047) 
 Player: Opponent:  34.06% (G:15.43% B:0.32%) 65.94% (G:17.92% B:0.70%)  

3.  XG Roller++  Bar/24 15/13  eq: 0.548 (0.061) 
 Player: Opponent:  33.98% (G:13.87% B:0.31%) 66.02% (G:16.97% B:0.73%)  

4.  XG Roller++  Bar/24 8/6  eq: 0.556 (0.070) 
 Player: Opponent:  33.65% (G:13.80% B:0.27%) 66.35% (G:16.65% B:0.68%)  

5.  XG Roller++  Bar/24 4/2  eq: 0.640 (0.154) 
 Player: Opponent:  31.93% (G:12.82% B:0.23%) 68.07% (G:18.48% B:0.77%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.47% (G:16.63% B:0.61%) 
64.59% (G:16.85% B:0.64%) 
Opponent Winning Chances: 
35.53% (G:15.52% B:0.33%) 
35.41% (G:15.59% B:0.32%) 
Cubeless Equities 
+0.304 
+0.622 
Cubeful Equities 
No double:  +0.491  
Double/Take:  +0.378 (0.113)  
Double/Pass:  +1.000 (+0.509) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.4% 



11: 13/12 13/11* 9/8 

1.  XG Roller++  13/11* 11/10 9/8  eq: +0.818 
 Player: Opponent:  70.74% (G:21.15% B:0.85%) 29.26% (G:10.98% B:0.28%)  

2.  XG Roller++  13/12 13/11* 9/8  eq: +0.815 (0.004) 
 Player: Opponent:  70.66% (G:21.10% B:0.86%) 29.34% (G:11.00% B:0.27%)  

3.  XG Roller++  13/11* 9/8 6/5  eq: +0.810 (0.008) 
 Player: Opponent:  70.62% (G:20.69% B:0.80%) 29.38% (G:11.03% B:0.26%)  

4.  4ply  13/11* 11/9  eq: +0.631 (0.187) 
 Player: Opponent:  67.03% (G:19.88% B:0.85%) 32.97% (G:14.45% B:0.33%)  

5.  4ply  13/11*(2)  eq: +0.580 (0.238) 
 Player: Opponent:  65.83% (G:19.88% B:0.89%) 34.17% (G:15.27% B:0.35%)  




33: Bar/22 4/1(3) 

1.  3ply  Bar/22 4/1(3)  eq: 1.115 
 Player: Opponent:  18.42% (G:6.89% B:0.12%) 81.58% (G:35.03% B:1.72%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
81.84% (G:34.40% B:1.77%) 
82.25% (G:34.08% B:1.77%) 
Opponent Winning Chances: 
18.16% (G:6.41% B:0.09%) 
17.75% (G:6.26% B:0.07%) 
Cubeless Equities 
+0.940 
+1.923 
Cubeful Equities 
No double:  +1.121  
Double/Take:  +1.789 (+0.668)  
Double/Pass:  +1.000 (0.121) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 15.3% 



44: 12/8 11/3* 6/2* 

1.  XG Roller++  12/8 11/3* 6/2*  eq: +1.127 
 Player: Opponent:  80.99% (G:36.87% B:1.97%) 19.01% (G:7.69% B:0.13%)  

2.  XG Roller++  20/16(2) 11/3*  eq: +1.080 (0.047) 
 Player: Opponent:  80.28% (G:33.20% B:1.46%) 19.72% (G:7.75% B:0.13%)  

3.  XG Roller++  12/4 11/3*  eq: +1.079 (0.048) 
 Player: Opponent:  79.09% (G:34.63% B:1.82%) 20.91% (G:7.39% B:0.11%)  

4.  XG Roller++  20/16 20/12 6/2*  eq: +1.069 (0.057) 
 Player: Opponent:  79.25% (G:31.42% B:1.50%) 20.75% (G:7.42% B:0.14%)  

5.  XG Roller++  20/12 11/3*  eq: +1.068 (0.058) 
 Player: Opponent:  80.06% (G:33.39% B:1.59%) 19.94% (G:7.72% B:0.12%)  




65: Cannot Move 

1.  3ply  Cannot Move  eq: 1.325 
 Player: Opponent:  12.69% (G:3.29% B:0.08%) 87.31% (G:47.71% B:2.68%)  




21: 8/6 3/2 

1.  XG Roller++  8/6 3/2  eq: +1.352 
 Player: Opponent:  87.92% (G:48.17% B:2.92%) 12.08% (G:2.72% B:0.06%)  

2.  XG Roller++  20/18 3/2  eq: +1.326 (0.026) 
 Player: Opponent:  87.34% (G:46.16% B:2.82%) 12.66% (G:2.98% B:0.07%)  

3.  XG Roller++  3/1 2/1  eq: +1.298 (0.054) 
 Player: Opponent:  85.33% (G:46.44% B:2.19%) 14.67% (G:3.52% B:0.08%)  

4.  XG Roller++  22/20 3/2  eq: +1.282 (0.070) 
 Player: Opponent:  85.85% (G:43.88% B:2.51%) 14.15% (G:3.17% B:0.06%)  

5.  XG Roller++  4/3 4/2  eq: +1.276 (0.076) 
 Player: Opponent:  85.17% (G:43.77% B:2.63%) 14.83% (G:3.29% B:0.07%)  




43: Bar/22 

1.  3ply  Bar/22  eq: 1.296 
 Player: Opponent:  13.85% (G:3.46% B:0.10%) 86.15% (G:46.29% B:2.54%)  




53: 8/3* 6/3 

1.  4ply  8/3* 6/3  eq: +1.534 
 Player: Opponent:  93.49% (G:58.47% B:3.48%) 6.51% (G:0.87% B:0.02%)  

2.  4ply  8/5 8/3*  eq: +1.348 (0.187) 
 Player: Opponent:  86.83% (G:49.72% B:2.96%) 13.17% (G:3.40% B:0.08%)  

3.  4ply  20/15 6/3*  eq: +1.317 (0.217) 
 Player: Opponent:  87.23% (G:48.10% B:2.79%) 12.77% (G:3.99% B:0.11%)  

4.  3ply  20/12  eq: +1.198 (0.336) 
 Player: Opponent:  83.39% (G:38.55% B:2.42%) 16.61% (G:3.70% B:0.05%)  

5.  3ply  20/15 8/5  eq: +1.149 (0.386) 
 Player: Opponent:  80.55% (G:39.11% B:2.24%) 19.45% (G:5.68% B:0.09%)  




62: Cannot Move 

1.  3ply  Cannot Move  eq: 1.587 
 Player: Opponent:  5.63% (G:0.67% B:0.02%) 94.37% (G:62.19% B:3.78%)  




51: 22/21* 21/16 

1.  XG Roller++  22/21* 20/15  eq: +1.701 
 Player: Opponent:  96.22% (G:68.85% B:5.40%) 3.78% (G:0.39% B:0.01%)  

2.  XG Roller++  22/21* 21/16  eq: +1.694 (0.008) 
 Player: Opponent:  96.12% (G:68.22% B:5.34%) 3.88% (G:0.39% B:0.01%)  

3.  XG Roller++  22/21* 8/3  eq: +1.671 (0.031) 
 Player: Opponent:  95.85% (G:66.48% B:5.18%) 4.15% (G:0.40% B:0.01%)  

4.  XG Roller++  20/15 8/7  eq: +1.653 (0.048) 
 Player: Opponent:  95.45% (G:66.04% B:4.72%) 4.55% (G:0.56% B:0.02%)  

5.  XG Roller++  20/14  eq: +1.632 (0.070) 
 Player: Opponent:  95.06% (G:64.47% B:4.60%) 4.94% (G:0.52% B:0.02%)  




55: Cannot Move 

1.  3ply  Cannot Move  eq: 1.720 
 Player: Opponent:  3.78% (G:0.25% B:0.01%) 96.22% (G:70.67% B:5.58%)  




42: 22/18 20/18 

1.  XG Roller++  20/16 8/6  eq: +1.741 
 Player: Opponent:  96.67% (G:71.59% B:5.80%) 3.33% (G:0.29% B:0.01%)  

2.  XG Roller++  20/18 16/12  eq: +1.734 (0.007) 
 Player: Opponent:  96.52% (G:71.28% B:5.77%) 3.48% (G:0.38% B:0.01%)  

3.  XG Roller++  16/12 8/6  eq: +1.734 (0.007) 
 Player: Opponent:  96.53% (G:71.20% B:5.72%) 3.47% (G:0.30% B:0.01%)  

4.  XG Roller++  16/10  eq: +1.733 (0.008) 
 Player: Opponent:  96.63% (G:70.99% B:5.71%) 3.37% (G:0.30% B:0.01%)  

5.  XG Roller++  20/14  eq: +1.732 (0.009) 
 Player: Opponent:  96.62% (G:70.90% B:5.75%) 3.38% (G:0.31% B:0.01%)  

6.  XG Roller++  22/18 20/18  eq: +1.710 (0.032) 
 Player: Opponent:  96.49% (G:69.19% B:5.37%) 3.51% (G:0.33% B:0.01%)  




41: Bar/24 

1.  3ply  Bar/24  eq: 1.588 
 Player: Opponent:  4.62% (G:0.42% B:0.02%) 95.38% (G:60.40% B:3.93%)  




62: 16/10 8/6 

1.  XG Roller++  16/10 8/6  eq: +1.583 
 Player: Opponent:  95.54% (G:58.76% B:4.32%) 4.46% (G:0.38% B:0.01%)  

2.  XG Roller++  18/10  eq: +1.578 (0.005) 
 Player: Opponent:  95.63% (G:58.34% B:4.23%) 4.37% (G:0.45% B:0.02%)  

3.  XG Roller++  18/12 8/6  eq: +1.575 (0.008) 
 Player: Opponent:  95.43% (G:58.23% B:4.29%) 4.57% (G:0.44% B:0.01%)  

4.  XG Roller++  18/16 18/12  eq: +1.571 (0.011) 
 Player: Opponent:  95.72% (G:57.53% B:4.15%) 4.28% (G:0.31% B:0.01%)  

5.  XG Roller++  20/14 8/6  eq: +1.569 (0.014) 
 Player: Opponent:  95.66% (G:57.33% B:4.10%) 4.34% (G:0.32% B:0.01%)  




41: Bar/24 

1.  3ply  Bar/24  eq: 1.336 
 Player: Opponent:  6.32% (G:0.40% B:0.02%) 93.68% (G:38.52% B:2.57%)  




22: 18/16 18/12 

1.  XG Roller++  18/16 18/12  eq: +1.337 
 Player: Opponent:  94.24% (G:37.69% B:2.46%) 5.76% (G:0.30% B:0.01%)  

2.  XG Roller++  18/12 6/4  eq: +1.336 (0.001) 
 Player: Opponent:  94.02% (G:37.94% B:2.51%) 5.98% (G:0.40% B:0.01%)  

3.  XG Roller++  18/16 18/14 6/4  eq: +1.335 (0.002) 
 Player: Opponent:  94.09% (G:37.50% B:2.50%) 5.91% (G:0.29% B:0.01%)  

4.  XG Roller++  18/12 10/8  eq: +1.333 (0.004) 
 Player: Opponent:  93.93% (G:37.81% B:2.46%) 6.07% (G:0.44% B:0.01%)  

5.  XG Roller++  18/16 18/14 10/8  eq: +1.333 (0.004) 
 Player: Opponent:  93.93% (G:37.68% B:2.47%) 6.07% (G:0.37% B:0.01%)  




42: Cannot Move 

1.  3ply  Cannot Move  eq: 1.350 
 Player: Opponent:  5.62% (G:0.22% B:0.01%) 94.38% (G:38.81% B:2.62%)  




32: 16/14 10/7 

1.  XG Roller++  16/13 6/4  eq: +1.351 
 Player: Opponent:  94.77% (G:38.39% B:2.46%) 5.23% (G:0.26% B:0.01%)  

2.  XG Roller++  16/14 10/7  eq: +1.350 (0.001) 
 Player: Opponent:  94.46% (G:39.02% B:2.38%) 5.54% (G:0.50% B:0.01%)  

3.  XG Roller++  10/7 6/4  eq: +1.349 (0.002) 
 Player: Opponent:  94.40% (G:39.01% B:2.47%) 5.60% (G:0.50% B:0.01%)  

4.  XG Roller++  16/13 10/8  eq: +1.348 (0.003) 
 Player: Opponent:  94.52% (G:38.40% B:2.48%) 5.48% (G:0.28% B:0.01%)  

5.  XG Roller++  12/7  eq: +1.347 (0.003) 
 Player: Opponent:  94.57% (G:38.74% B:2.40%) 5.43% (G:0.42% B:0.01%)  




22: Cannot Move 

1.  3ply  Cannot Move  eq: 1.370 
 Player: Opponent:  4.93% (G:0.16% B:0.01%) 95.07% (G:39.88% B:2.63%)  




22: 20/16 14/10 7/5 

1.  XG Roller++  20/16 14/10 7/5  eq: +1.347 
 Player: Opponent:  95.22% (G:37.06% B:2.43%) 4.78% (G:0.07% B:0.00%)  

2.  XG Roller++  20/16 14/10  eq: +1.345 (0.001) 
 Player: Opponent:  95.26% (G:37.51% B:2.24%) 4.74% (G:0.23% B:0.01%)  

3.  XG Roller++  14/10 7/3  eq: +1.345 (0.001) 
 Player: Opponent:  94.82% (G:37.32% B:2.55%) 5.18% (G:0.09% B:0.00%)  

4.  XG Roller++  14/10 6/2  eq: +1.345 (0.002) 
 Player: Opponent:  94.48% (G:38.42% B:2.42%) 5.52% (G:0.36% B:0.01%)  

5.  XG Roller++  20/18 14/10 6/4  eq: +1.345 (0.002) 
 Player: Opponent:  95.09% (G:37.83% B:2.26%) 4.91% (G:0.32% B:0.01%)  




53: Cannot Move 

1.  3ply  Cannot Move  eq: 1.381 
 Player: Opponent:  4.70% (G:0.07% B:0.00%) 95.30% (G:40.43% B:2.83%)  




53: 16/8 

1.  XG Roller++  16/11 12/9  eq: +1.385 
 Player: Opponent:  95.84% (G:39.92% B:2.82%) 4.16% (G:0.02% B:0.00%)  

2.  XG Roller++  16/8  eq: +1.384 (0.001) 
 Player: Opponent:  95.78% (G:39.88% B:2.80%) 4.22% (G:0.02% B:0.00%)  

3.  XG Roller++  16/11 6/3  eq: +1.384 (0.001) 
 Player: Opponent:  95.78% (G:39.82% B:2.79%) 4.22% (G:0.02% B:0.00%)  

4.  XG Roller++  12/7 10/7  eq: +1.383 (0.002) 
 Player: Opponent:  95.87% (G:40.02% B:2.61%) 4.13% (G:0.01% B:0.00%)  

5.  XG Roller++  12/4  eq: +1.383 (0.003) 
 Player: Opponent:  95.72% (G:39.73% B:2.84%) 4.28% (G:0.02% B:0.00%)  




42: Cannot Move 

1.  3ply  Cannot Move  eq: 1.416 
 Player: Opponent:  4.32% (G:0.04% B:0.00%) 95.68% (G:43.10% B:3.19%)  




44: 12/4 10/6 8/4 

1.  XG Roller++  12/4 10/6 8/4  eq: +1.473 
 Player: Opponent:  95.83% (G:47.63% B:3.98%) 4.17% (G:0.00% B:0.00%)  

2.  XG Roller++  12/4 10/2  eq: +1.465 (0.008) 
 Player: Opponent:  95.69% (G:47.17% B:3.76%) 4.31% (G:0.00% B:0.00%)  

3.  XG Roller++  12/4 8/4 6/2  eq: +1.448 (0.025) 
 Player: Opponent:  95.56% (G:45.82% B:3.56%) 4.44% (G:0.00% B:0.00%)  

4.  XG Roller++  10/2 8/4 6/2  eq: +1.417 (0.056) 
 Player: Opponent:  94.72% (G:44.09% B:3.22%) 5.28% (G:0.00% B:0.00%)  

5.  XG Roller++  12/8 10/2 6/2  eq: +1.385 (0.087) 
 Player: Opponent:  94.14% (G:41.92% B:2.84%) 5.86% (G:0.00% B:0.00%)  




51: Bar/24 8/3 

1.  XG Roller++  Bar/24 8/3  eq: 1.389 
 Player: Opponent:  3.66% (G:0.00% B:0.00%) 96.34% (G:39.70% B:2.63%)  

2.  XG Roller++  Bar/24 6/1  eq: 1.427 (0.038) 
 Player: Opponent:  2.77% (G:0.00% B:0.00%) 97.23% (G:42.33% B:2.79%)  




53: 6/3 5/Off 

1.  XG Roller++  6/3 5/Off  eq: +1.368 
 Player: Opponent:  96.32% (G:37.78% B:2.22%) 3.68% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 3/Off  eq: +1.264 (0.104) 
 Player: Opponent:  92.05% (G:32.14% B:2.01%) 7.95% (G:0.00% B:0.00%)  

3.  XG Roller++  5/2 5/Off  eq: +1.247 (0.121) 
 Player: Opponent:  92.67% (G:29.65% B:1.63%) 7.33% (G:0.00% B:0.00%)  




43: 8/5 8/4 

1.  XG Roller++  8/4 6/3  eq: 1.433 
 Player: Opponent:  3.76% (G:0.00% B:0.00%) 96.24% (G:43.64% B:2.95%)  

2.  XG Roller++  8/5 8/4  eq: 1.439 (0.006) 
 Player: Opponent:  3.42% (G:0.00% B:0.00%) 96.58% (G:43.76% B:2.98%)  

3.  XG Roller++  8/1  eq: 1.457 (0.024) 
 Player: Opponent:  2.65% (G:0.00% B:0.00%) 97.35% (G:44.69% B:2.89%)  

4.  XG Roller++  6/3 6/2  eq: 1.460 (0.028) 
 Player: Opponent:  2.86% (G:0.00% B:0.00%) 97.14% (G:45.24% B:2.92%)  

5.  XG Roller++  8/5 6/2  eq: 1.465 (0.032) 
 Player: Opponent:  2.74% (G:0.00% B:0.00%) 97.26% (G:45.44% B:3.06%)  




65: 6/Off 5/Off 

1.  3ply  6/Off 5/Off  eq: +1.412 
 Player: Opponent:  94.60% (G:43.60% B:3.22%) 5.40% (G:0.00% B:0.00%)  




65: 24/13 

1.  XG Roller++  24/13  eq: 1.336 
 Player: Opponent:  4.07% (G:0.00% B:0.00%) 95.93% (G:35.12% B:1.83%)  

2.  XG Roller++  24/18 6/1  eq: 1.465 (0.129) 
 Player: Opponent:  2.56% (G:0.00% B:0.00%) 97.44% (G:45.70% B:2.54%)  




41: 6/5 6/2 

1.  XG Roller++  6/5 4/Off  eq: +1.301 
 Player: Opponent:  94.40% (G:33.32% B:1.59%) 5.60% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off  eq: +1.298 (0.003) 
 Player: Opponent:  96.29% (G:31.36% B:1.34%) 3.71% (G:0.00% B:0.00%)  

3.  XG Roller++  6/5 6/2  eq: +1.296 (0.005) 
 Player: Opponent:  97.23% (G:30.41% B:1.25%) 2.77% (G:0.00% B:0.00%)  

4.  XG Roller++  4/Off 3/2  eq: +1.257 (0.044) 
 Player: Opponent:  93.21% (G:30.56% B:1.42%) 6.79% (G:0.00% B:0.00%)  

5.  XG Roller++  4/3 4/Off  eq: +1.241 (0.060) 
 Player: Opponent:  92.83% (G:29.25% B:1.28%) 7.17% (G:0.00% B:0.00%)  




52: 13/8 5/3 

1.  XG Roller++  13/6  eq: 1.311 
 Player: Opponent:  2.68% (G:0.00% B:0.00%) 97.32% (G:31.66% B:1.34%)  

2.  XG Roller++  13/8 5/3  eq: 1.329 (0.018) 
 Player: Opponent:  3.20% (G:0.00% B:0.00%) 96.80% (G:33.65% B:1.49%)  

3.  XG Roller++  13/8 6/4  eq: 1.341 (0.030) 
 Player: Opponent:  3.02% (G:0.00% B:0.00%) 96.98% (G:35.03% B:1.56%)  

4.  XG Roller++  24/19 13/11  eq: 1.353 (0.042) 
 Player: Opponent:  2.67% (G:0.00% B:0.00%) 97.33% (G:36.39% B:0.88%)  

5.  XG Roller++  13/8 4/2  eq: 1.357 (0.046) 
 Player: Opponent:  2.27% (G:0.00% B:0.00%) 97.73% (G:35.50% B:1.46%)  




21: 3/Off 

1.  XG Roller++  4/3 2/Off  eq: +1.270 
 Player: Opponent:  97.12% (G:27.71% B:0.89%) 2.88% (G:0.00% B:0.00%)  

2.  XG Roller++  3/Off  eq: +1.265 (0.005) 
 Player: Opponent:  96.90% (G:27.70% B:1.02%) 3.10% (G:0.00% B:0.00%)  

3.  XG Roller++  5/4 5/3  eq: +1.214 (0.057) 
 Player: Opponent:  99.01% (G:21.19% B:0.52%) 0.99% (G:0.00% B:0.00%)  

4.  XG Roller++  4/3 4/2  eq: +1.177 (0.093) 
 Player: Opponent:  95.48% (G:22.23% B:0.60%) 4.52% (G:0.00% B:0.00%)  

5.  XG Roller++  4/2 3/2  eq: +1.163 (0.107) 
 Player: Opponent:  94.54% (G:20.60% B:0.49%) 5.46% (G:0.00% B:0.00%)  




65: 24/13 

1.  XG Roller++  24/13  eq: 1.162 
 Player: Opponent:  3.24% (G:0.00% B:0.00%) 96.76% (G:18.14% B:0.34%)  

2.  XG Roller++  24/19 24/18  eq: 1.184 (0.022) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:18.08% B:0.00%)  

3.  XG Roller++  24/18 8/3  eq: 1.229 (0.067) 
 Player: Opponent:  3.10% (G:0.00% B:0.00%) 96.90% (G:24.03% B:0.42%)  

4.  XG Roller++  24/19 8/2  eq: 1.255 (0.094) 
 Player: Opponent:  3.01% (G:0.00% B:0.00%) 96.99% (G:26.53% B:0.50%)  

5.  XG Roller++  24/18 6/1  eq: 1.316 (0.154) 
 Player: Opponent:  2.51% (G:0.00% B:0.00%) 97.49% (G:32.07% B:0.72%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
96.69% (G:18.02% B:0.36%) 
97.40% (G:17.14% B:0.31%) 
Opponent Winning Chances: 
3.31% (G:0.00% B:0.00%) 
2.60% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.121 
+2.280 
Cubeful Equities 
No double:  +1.162  
Double/Take:  +2.261 (+1.099)  
Double/Pass:  +1.000 (0.162) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 12.9% 



53: 5/2 5/Off 

1.  4ply  5/2 5/Off  eq: +1.112 
 Player: Opponent:  98.25% (G:12.21% B:0.28%) 1.75% (G:0.00% B:0.00%)  

2.  4ply  5/Off 4/1*  eq: +0.951 (0.162) 
 Player: Opponent:  81.75% (G:16.53% B:0.32%) 18.25% (G:0.00% B:0.00%)  

3.  3ply  5/Off 3/Off  eq: +0.772 (0.340) 
 Player: Opponent:  78.40% (G:8.93% B:0.30%) 21.60% (G:0.00% B:0.00%)  




61: 13/6 

1.  XG Roller++  24/18 13/12  eq: 1.114 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:11.26% B:0.00%)  

2.  XG Roller++  24/17  eq: 1.116 (0.002) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:11.42% B:0.00%)  

3.  XG Roller++  13/6  eq: 1.119 (0.005) 
 Player: Opponent:  2.03% (G:0.00% B:0.00%) 97.97% (G:12.65% B:0.21%)  

4.  XG Roller++  24/18 8/7  eq: 1.124 (0.009) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:12.19% B:0.00%)  

5.  XG Roller++  24/18 6/5  eq: 1.138 (0.023) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:13.52% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
97.99% (G:12.57% B:0.23%) 
97.91% (G:12.67% B:0.26%) 
Opponent Winning Chances: 
2.01% (G:0.00% B:0.00%) 
2.09% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.090 
+2.205 
Cubeful Equities 
No double:  +1.116  
Double/Take:  +2.191 (+1.074)  
Double/Pass:  +1.000 (0.116) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 9.8% 



43: 4/1* 4/Off 

1.  XG Roller++  4/Off 3/Off  eq: +1.044 
 Player: Opponent:  93.11% (G:8.54% B:0.14%) 6.89% (G:0.00% B:0.00%)  

2.  XG Roller++  4/1* 4/Off  eq: +1.038 (0.006) 
 Player: Opponent:  91.99% (G:9.07% B:0.12%) 8.01% (G:0.00% B:0.00%)  




52: Bar/20 8/6 

1.  XG Roller++  Bar/20 8/6  eq: 1.051 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:4.97% B:0.00%)  

2.  XG Roller++  Bar/18  eq: 1.058 (0.007) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:5.66% B:0.00%)  

3.  XG Roller++  Bar/20 6/4  eq: 1.101 (0.050) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:9.93% B:0.00%)  

4.  XG Roller++  Bar/20 3/1  eq: 1.102 (0.051) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:9.98% B:0.00%)  

5.  XG Roller++  Bar/20 4/2  eq: 1.118 (0.068) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:11.62% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:4.92% B:0.00%) 
100.00% (G:4.92% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.050 
+2.121 
Cubeful Equities 
No double:  +1.050  
Double/Take:  +2.121 (+1.071)  
Double/Pass:  +1.000 (0.050) 

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



11: 2/Off(2) 

1.  XG Roller++  4/3 2/Off 1/Off  eq: +1.030 
 Player: Opponent:  100.00% (G:2.97% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  XG Roller++  3/Off 1/Off  eq: +1.027 (0.003) 
 Player: Opponent:  100.00% (G:2.63% B:0.00%) 0.00% (G:0.00% B:0.00%)  

3.  XG Roller++  2/Off(2)  eq: +1.027 (0.004) 
 Player: Opponent:  100.00% (G:2.62% B:0.00%) 0.00% (G:0.00% B:0.00%)  

4.  XG Roller++  4/3(2) 2/Off  eq: +1.026 (0.004) 
 Player: Opponent:  100.00% (G:2.56% B:0.00%) 0.00% (G:0.00% B:0.00%)  

5.  XG Roller++  4/Off  eq: +1.025 (0.005) 
 Player: Opponent:  100.00% (G:2.50% B:0.00%) 0.00% (G:0.00% B:0.00%)  




62: 20/12 

1.  XG Roller++  20/12  eq: 1.013 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:1.31% B:0.00%)  

2.  XG Roller++  20/14 6/4  eq: 1.029 (0.016) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.84% B:0.00%)  

3.  XG Roller++  20/14 3/1  eq: 1.030 (0.017) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.98% B:0.00%)  

4.  XG Roller++  20/14 4/2  eq: 1.045 (0.032) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:4.44% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:1.34% B:0.00%) 
100.00% (G:1.34% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.014 
+2.045 
Cubeful Equities 
No double:  +1.014  
Double/Take:  +2.045 (+1.032)  
Double/Pass:  +1.000 (0.014) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 1.3% 



63: 4/Off 3/Off 

1.  XG Roller++  4/Off 3/Off  eq: +1.004 
 Player: Opponent:  100.00% (G:0.37% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  XG Roller++  4/1 4/Off  eq: +1.003 (0.000) 
 Player: Opponent:  100.00% (G:0.32% B:0.00%) 0.00% (G:0.00% B:0.00%)  




42: 12/6 

1.  XG Roller++  12/8 6/4  eq: 1.007 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.71% B:0.00%)  

2.  XG Roller++  12/6  eq: 1.007 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.71% B:0.00%)  

3.  XG Roller++  12/8 3/1  eq: 1.007 (0.000) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.71% B:0.00%)  

4.  XG Roller++  12/8 4/2  eq: 1.022 (0.014) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.13% B:0.00%)  

5.  XG Roller++  12/10 6/2  eq: 1.050 (0.043) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:4.96% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:0.71% B:0.00%) 
100.00% (G:0.71% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.007 
+2.032 
Cubeful Equities 
No double:  +1.007  
Double/Take:  +2.032 (+1.025)  
Double/Pass:  +1.000 (0.007) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 0.7% 



61: 4/Off 3/2 

1.  XG Roller++  4/Off 1/Off  eq: +1.004 
 Player: Opponent:  100.00% (G:0.39% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  XG Roller++  4/Off 3/2  eq: +1.004 
 Player: Opponent:  100.00% (G:0.39% B:0.00%) 0.00% (G:0.00% B:0.00%)  

3.  XG Roller++  4/Off 2/1  eq: +1.003 (0.001) 
 Player: Opponent:  100.00% (G:0.31% B:0.00%) 0.00% (G:0.00% B:0.00%)  

4.  XG Roller++  4/Off  eq: +1.003 (0.001) 
 Player: Opponent:  100.00% (G:0.31% B:0.00%) 0.00% (G:0.00% B:0.00%)  




44: 6/2(3) 4/Off 

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

2.  XG Roller++  6/2(4)  eq: 1.141 (0.141) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:13.89% B:0.00%)  




66: 2/Off(3) 1/Off 

1.  3ply  2/Off(3) 1/Off  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 1pt. 


