32: 13/11 13/10 


1.  XG Roller++  13/11 8/5  eq: +0.138 
 Player: Opponent:  49.01% (G:13.65% B:0.56%) 50.99% (G:14.23% B:0.86%)  

2.  Book^{1}  24/21 13/11  eq: +0.124 (0.014) 
 Player: Opponent:  50.36% (G:13.23% B:0.55%) 49.64% (G:12.90% B:0.58%)  

3.  Book^{1}  13/11 13/10  eq: +0.119 (0.019) 
 Player: Opponent:  49.80% (G:14.45% B:0.59%) 50.20% (G:13.66% B:0.73%)  

4.  Book^{1}  24/22 13/10  eq: +0.114 (0.024) 
 Player: Opponent:  49.87% (G:13.21% B:0.52%) 50.13% (G:12.90% B:0.53%)  

5.  Book^{1}  13/10 6/4  eq: +0.067 (0.071) 
 Player: Opponent:  48.83% (G:13.42% B:0.52%) 51.17% (G:14.40% B:0.90%)  


^{1} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



62: 24/18 13/11 


1.  XG Roller++  24/18 13/11  eq: 0.351 
 Player: Opponent:  46.96% (G:12.55% B:0.72%) 53.04% (G:17.51% B:0.76%)  

2.  XG Roller++  24/16  eq: 0.380 (0.029) 
 Player: Opponent:  46.23% (G:11.44% B:0.60%) 53.77% (G:17.32% B:0.66%)  

3.  4ply  24/22 13/7  eq: 0.377 (0.026) 
 Player: Opponent:  45.32% (G:11.94% B:0.58%) 54.68% (G:16.60% B:0.81%)  

4.  4ply  24/22 24/18  eq: 0.381 (0.030) 
 Player: Opponent:  46.01% (G:11.14% B:0.61%) 53.99% (G:17.75% B:0.60%)  

5.  3ply  13/11 13/7  eq: 0.393 (0.041) 
 Player: Opponent:  45.44% (G:12.64% B:0.64%) 54.56% (G:16.69% B:1.19%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
52.90% (G:17.14% B:0.75%) 
52.94% (G:17.37% B:0.76%) 
Opponent Winning Chances: 
47.10% (G:12.17% B:0.69%) 
47.06% (G:12.35% B:0.73%) 
Cubeless Equities 
+0.115 
+0.341 
Cubeful Equities 
No double:  +0.332  
Double/Take:  +0.247 (0.084)  
Double/Pass:  +1.000 (+0.668) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.1% 


63: 13/7* 10/7 


1.  3ply  13/7* 10/7  eq: +0.418 
 Player: Opponent:  55.13% (G:17.37% B:0.79%) 44.87% (G:11.22% B:0.57%)  

2.  2ply  10/7* 7/1*  eq: +0.191 (0.228) 
 Player: Opponent:  49.56% (G:16.05% B:0.69%) 50.44% (G:13.70% B:0.84%)  

3.  2ply  24/18 10/7*  eq: +0.190 (0.229) 
 Player: Opponent:  50.76% (G:13.65% B:0.69%) 49.24% (G:13.62% B:0.78%)  

4.  2ply  24/21 13/7*  eq: +0.188 (0.230) 
 Player: Opponent:  49.96% (G:15.16% B:0.88%) 50.04% (G:14.46% B:0.93%)  

5.  2ply  11/5 8/5  eq: +0.170 (0.249) 
 Player: Opponent:  49.37% (G:14.57% B:0.53%) 50.63% (G:11.94% B:0.58%)  



42: Bar/21 13/11 


1.  3ply  Bar/21 13/11  eq: 0.434 
 Player: Opponent:  44.72% (G:11.10% B:0.56%) 55.28% (G:17.93% B:0.72%)  

2.  3ply  Bar/21 11/9  eq: 0.546 (0.112) 
 Player: Opponent:  41.93% (G:10.41% B:0.53%) 58.07% (G:18.84% B:0.95%)  

3.  2ply  Bar/21 24/22  eq: 0.577 (0.143) 
 Player: Opponent:  42.27% (G:10.15% B:0.56%) 57.73% (G:20.77% B:0.89%)  

4.  2ply  Bar/21 6/4  eq: 0.596 (0.162) 
 Player: Opponent:  42.35% (G:10.44% B:0.58%) 57.65% (G:21.27% B:1.38%)  

5.  2ply  Bar/23 24/20  eq: 0.624 (0.190) 
 Player: Opponent:  41.47% (G:10.12% B:0.55%) 58.53% (G:21.07% B:0.97%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
55.06% (G:18.71% B:0.77%) 
55.27% (G:18.41% B:0.75%) 
Opponent Winning Chances: 
44.94% (G:11.38% B:0.65%) 
44.73% (G:11.15% B:0.63%) 
Cubeless Equities 
+0.185 
+0.488 
Cubeful Equities 
No double:  +0.452  
Double/Take:  +0.393 (0.059)  
Double/Pass:  +1.000 (+0.548) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.9% 


42: 8/4* 6/4 


1.  3ply  8/4* 6/4  eq: +0.821 
 Player: Opponent:  61.98% (G:24.46% B:1.08%) 38.02% (G:9.29% B:0.51%)  

2.  1ply  11/7 6/4*  eq: +0.250 (0.572) 
 Player: Opponent:  51.59% (G:15.43% B:0.76%) 48.41% (G:12.65% B:0.82%)  

3.  1ply  24/20 6/4*  eq: +0.214 (0.607) 
 Player: Opponent:  51.11% (G:14.60% B:0.71%) 48.89% (G:13.48% B:0.84%)  

4.  1ply  13/9 11/9  eq: +0.206 (0.616) 
 Player: Opponent:  50.59% (G:14.81% B:0.60%) 49.41% (G:12.73% B:0.71%)  

5.  1ply  24/22 11/7  eq: +0.198 (0.623) 
 Player: Opponent:  50.68% (G:13.64% B:0.47%) 49.32% (G:11.51% B:0.43%)  



43: Bar/22 13/9 


1.  XG Roller++  Bar/22 24/20  eq: 1.000 
 Player: Opponent:  36.84% (G:9.06% B:0.59%) 63.16% (G:30.15% B:0.96%)  

2.  XG Roller++  Bar/22 13/9  eq: 1.000 
 Player: Opponent:  35.95% (G:8.98% B:0.50%) 64.05% (G:27.75% B:1.53%)  

3.  XG Roller++  Bar/22 8/4  eq: 1.000 
 Player: Opponent:  35.35% (G:8.73% B:0.48%) 64.65% (G:31.43% B:1.83%)  

4.  XG Roller++  Bar/22 6/2  eq: 1.000 
 Player: Opponent:  34.22% (G:7.86% B:0.40%) 65.78% (G:30.80% B:1.66%)  

5.  XG Roller++  Bar/22 11/7  eq: 1.000 
 Player: Opponent:  32.88% (G:7.37% B:0.40%) 67.12% (G:32.10% B:2.77%)  



Double/Take 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
64.16% (G:27.97% B:1.45%) 
64.19% (G:29.48% B:1.43%) 
Opponent Winning Chances: 
35.84% (G:9.38% B:0.58%) 
35.81% (G:9.59% B:0.68%) 
Cubeless Equities 
+0.501 
+1.182 
Cubeful Equities 
No double:  +0.838 (0.162)  ±0.014 (+0.823..+0.852) 
Double/Take:  +1.072 (+0.072)  ±0.017 (+1.054..+1.089) 
Double/Pass:  +1.000 

Best Cube action: Double / Pass 
Rollout details 
1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 21 minutes 05 seconds 


21: 6/3* 


1.  XG Roller++  6/3*  eq: +0.329 
 Player: Opponent:  59.01% (G:22.95% B:1.54%) 40.99% (G:11.78% B:0.81%)  

2.  XG Roller++  7/5 6/5  eq: +0.329 (0.001) 
 Player: Opponent:  59.59% (G:21.98% B:1.13%) 40.41% (G:11.00% B:0.77%)  

3.  4ply  24/21  eq: +0.257 (0.072) 
 Player: Opponent:  57.89% (G:19.49% B:1.05%) 42.11% (G:11.90% B:0.60%)  

4.  3ply  24/23 6/4  eq: +0.243 (0.086) 
 Player: Opponent:  56.97% (G:20.24% B:0.97%) 43.03% (G:12.17% B:0.71%)  

5.  3ply  11/8  eq: +0.233 (0.096) 
 Player: Opponent:  56.56% (G:20.02% B:0.92%) 43.44% (G:11.69% B:0.59%)  



54: Bar/20 24/20 


1.  3ply  Bar/20 24/20  eq: +0.078 
 Player: Opponent:  51.73% (G:12.29% B:0.51%) 48.27% (G:9.74% B:0.36%)  

2.  1ply  Bar/20 13/9  eq: 0.530 (0.609) 
 Player: Opponent:  35.53% (G:9.28% B:0.58%) 64.47% (G:28.76% B:1.84%)  

3.  1ply  Bar/16  eq: 0.539 (0.617) 
 Player: Opponent:  35.71% (G:8.99% B:0.51%) 64.29% (G:29.75% B:1.80%)  

4.  1ply  Bar/20 9/5  eq: 0.620 (0.699) 
 Player: Opponent:  33.76% (G:8.52% B:0.48%) 66.24% (G:32.64% B:2.06%)  

5.  1ply  Bar/20 6/2  eq: 0.700 (0.778) 
 Player: Opponent:  32.23% (G:8.20% B:0.49%) 67.77% (G:35.46% B:2.97%)  



43: 24/21 11/7 


1.  XG Roller++  24/21 11/7  eq: 0.130 
 Player: Opponent:  46.79% (G:8.57% B:0.29%) 53.21% (G:13.24% B:0.42%)  

2.  XG Roller++  24/20 6/3  eq: 0.149 (0.019) 
 Player: Opponent:  45.89% (G:8.46% B:0.32%) 54.11% (G:12.88% B:0.50%)  

3.  XG Roller++  24/21 7/3  eq: 0.156 (0.026) 
 Player: Opponent:  45.19% (G:9.78% B:0.35%) 54.81% (G:14.54% B:0.73%)  

4.  4ply  11/7 6/3  eq: 0.172 (0.042) 
 Player: Opponent:  45.07% (G:8.08% B:0.30%) 54.93% (G:13.15% B:0.45%)  

5.  3ply  24/20 11/8  eq: 0.179 (0.049) 
 Player: Opponent:  44.61% (G:8.84% B:0.30%) 55.39% (G:14.44% B:0.51%)  



42: 8/4* 6/4 


1.  3ply  8/4* 6/4  eq: +0.315 
 Player: Opponent:  60.39% (G:17.41% B:0.64%) 39.61% (G:7.65% B:0.29%)  

2.  2ply  13/11 13/9  eq: +0.047 (0.269) 
 Player: Opponent:  49.40% (G:8.21% B:0.28%) 50.60% (G:6.72% B:0.18%)  

3.  2ply  11/7 9/7  eq: +0.027 (0.289) 
 Player: Opponent:  49.21% (G:8.27% B:0.29%) 50.79% (G:8.06% B:0.25%)  

4.  2ply  13/9 6/4*  eq: 0.008 (0.323) 
 Player: Opponent:  49.73% (G:11.91% B:0.53%) 50.27% (G:13.10% B:0.52%)  

5.  1ply  11/9 8/4*  eq: 0.057 (0.372) 
 Player: Opponent:  47.61% (G:11.50% B:0.51%) 52.39% (G:13.11% B:0.52%)  



32: Bar/22 24/22 


1.  4ply  Bar/22 24/22  eq: 0.255 
 Player: Opponent:  41.31% (G:7.48% B:0.22%) 58.69% (G:11.09% B:0.31%)  

2.  4ply  Bar/23 6/3  eq: 0.300 (0.045) 
 Player: Opponent:  40.27% (G:7.40% B:0.27%) 59.73% (G:16.58% B:0.53%)  

3.  3ply  Bar/23 7/4  eq: 0.363 (0.108) 
 Player: Opponent:  37.73% (G:7.49% B:0.23%) 62.27% (G:18.14% B:0.71%)  

4.  3ply  Bar/22 6/4  eq: 0.387 (0.132) 
 Player: Opponent:  37.04% (G:7.53% B:0.27%) 62.96% (G:20.67% B:0.76%)  

5.  3ply  Bar/20  eq: 0.389 (0.134) 
 Player: Opponent:  36.83% (G:7.84% B:0.32%) 63.17% (G:20.92% B:0.77%)  



52: 11/9 6/1 


1.  XG Roller++  11/9 11/6  eq: +0.186 
 Player: Opponent:  55.38% (G:11.57% B:0.33%) 44.62% (G:7.35% B:0.19%)  

2.  XG Roller++  13/8 11/9  eq: +0.178 (0.008) 
 Player: Opponent:  55.23% (G:13.55% B:0.51%) 44.77% (G:8.53% B:0.26%)  

3.  XG Roller++  11/9 6/1  eq: +0.173 (0.013) 
 Player: Opponent:  55.24% (G:13.04% B:0.29%) 44.76% (G:8.68% B:0.26%)  

4.  3ply  9/2  eq: +0.123 (0.064) 
 Player: Opponent:  53.00% (G:10.05% B:0.23%) 47.00% (G:7.59% B:0.26%)  

5.  3ply  13/11 13/8  eq: +0.092 (0.094) 
 Player: Opponent:  51.48% (G:9.76% B:0.31%) 48.52% (G:7.30% B:0.20%)  



21: 6/3 


1.  XG Roller++  6/3  eq: 0.240 
 Player: Opponent:  42.26% (G:7.09% B:0.21%) 57.74% (G:11.43% B:0.26%)  

2.  XG Roller++  7/4  eq: 0.275 (0.035) 
 Player: Opponent:  40.76% (G:7.25% B:0.23%) 59.24% (G:12.37% B:0.32%)  

3.  4ply  8/7 8/6  eq: 0.314 (0.074) 
 Player: Opponent:  39.17% (G:6.40% B:0.15%) 60.83% (G:10.75% B:0.26%)  

4.  4ply  6/4 3/2  eq: 0.314 (0.074) 
 Player: Opponent:  39.13% (G:6.63% B:0.18%) 60.87% (G:11.32% B:0.30%)  

5.  3ply  4/3 4/2  eq: 0.298 (0.058) 
 Player: Opponent:  39.56% (G:7.22% B:0.21%) 60.44% (G:11.40% B:0.33%)  



31: 8/5 6/5 


1.  XG Roller++  8/5 6/5  eq: +0.075 
 Player: Opponent:  52.04% (G:12.24% B:0.27%) 47.96% (G:10.72% B:0.35%)  

2.  XG Roller++  6/2  eq: +0.065 (0.009) 
 Player: Opponent:  50.74% (G:12.54% B:0.26%) 49.26% (G:9.24% B:0.31%)  

3.  XG Roller++  11/7  eq: +0.045 (0.029) 
 Player: Opponent:  50.54% (G:11.80% B:0.27%) 49.46% (G:10.25% B:0.34%)  

4.  XG Roller++  13/10 11/10  eq: +0.044 (0.031) 
 Player: Opponent:  49.58% (G:12.15% B:0.28%) 50.42% (G:8.70% B:0.29%)  

5.  XG Roller++  11/8 6/5  eq: +0.034 (0.041) 
 Player: Opponent:  50.15% (G:11.62% B:0.30%) 49.85% (G:10.47% B:0.32%)  



62: 8/6 8/2 


1.  XG Roller++  8/6 8/2  eq: 0.343 
 Player: Opponent:  37.81% (G:7.39% B:0.19%) 62.19% (G:13.11% B:0.38%)  

2.  XG Roller++  7/1 3/1  eq: 0.386 (0.043) 
 Player: Opponent:  36.05% (G:7.28% B:0.14%) 63.95% (G:13.67% B:0.40%)  

3.  4ply  8/6 7/1  eq: 0.395 (0.051) 
 Player: Opponent:  35.47% (G:7.20% B:0.19%) 64.53% (G:12.72% B:0.40%)  

4.  4ply  8/2 4/2  eq: 0.401 (0.058) 
 Player: Opponent:  35.40% (G:6.84% B:0.19%) 64.60% (G:12.80% B:0.42%)  

5.  3ply  13/11 13/7  eq: 0.418 (0.075) 
 Player: Opponent:  34.64% (G:5.79% B:0.25%) 65.36% (G:9.75% B:0.20%)  



32: 13/8 


1.  3ply  13/8  eq: +0.355 
 Player: Opponent:  63.03% (G:12.49% B:0.37%) 36.97% (G:7.68% B:0.21%)  

2.  3ply  11/9 8/5  eq: +0.260 (0.095) 
 Player: Opponent:  58.71% (G:12.23% B:0.28%) 41.29% (G:7.53% B:0.17%)  

3.  2ply  11/6  eq: +0.150 (0.205) 
 Player: Opponent:  55.11% (G:12.41% B:0.39%) 44.89% (G:10.14% B:0.27%)  

4.  2ply  13/11 8/5  eq: +0.138 (0.217) 
 Player: Opponent:  54.32% (G:11.81% B:0.33%) 45.68% (G:9.51% B:0.24%)  

5.  2ply  13/11 13/10  eq: +0.085 (0.270) 
 Player: Opponent:  53.24% (G:11.67% B:0.37%) 46.76% (G:11.82% B:0.39%)  



54: 22/13 


1.  4ply  22/13  eq: 0.304 
 Player: Opponent:  40.53% (G:6.58% B:0.19%) 59.47% (G:16.58% B:0.28%)  

2.  4ply  22/18 7/2  eq: 0.374 (0.070) 
 Player: Opponent:  36.25% (G:10.80% B:0.43%) 63.75% (G:22.55% B:0.58%)  

3.  2ply  7/3 7/2  eq: 0.514 (0.210) 
 Player: Opponent:  31.06% (G:5.24% B:0.10%) 68.94% (G:12.34% B:0.32%)  

4.  2ply  7/2 6/2  eq: 0.515 (0.211) 
 Player: Opponent:  31.29% (G:4.73% B:0.09%) 68.71% (G:12.33% B:0.32%)  

5.  2ply  13/9 7/2  eq: 0.536 (0.232) 
 Player: Opponent:  29.86% (G:5.78% B:0.22%) 70.14% (G:12.91% B:0.37%)  



61: 13/6 


1.  4ply  13/6  eq: +0.212 
 Player: Opponent:  55.42% (G:13.76% B:0.16%) 44.58% (G:5.91% B:0.14%)  

2.  4ply  13/7 8/7  eq: +0.161 (0.051) 
 Player: Opponent:  54.96% (G:12.90% B:0.24%) 45.04% (G:9.13% B:0.26%)  

3.  4ply  13/7 11/10  eq: +0.151 (0.061) 
 Player: Opponent:  54.57% (G:13.18% B:0.24%) 45.43% (G:9.30% B:0.26%)  

4.  2ply  11/4  eq: +0.045 (0.167) 
 Player: Opponent:  49.77% (G:11.47% B:0.29%) 50.23% (G:8.70% B:0.22%)  

5.  2ply  20/13  eq: 0.109 (0.321) 
 Player: Opponent:  48.15% (G:9.87% B:0.32%) 51.85% (G:18.22% B:0.44%)  



62: 13/7 4/2 


1.  XG Roller++  13/7 6/4  eq: 0.350 
 Player: Opponent:  39.05% (G:6.28% B:0.16%) 60.95% (G:17.40% B:0.22%)  

2.  XG Roller++  13/7 4/2  eq: 0.370 (0.020) 
 Player: Opponent:  38.45% (G:5.88% B:0.14%) 61.55% (G:17.47% B:0.23%)  

3.  4ply  7/1 6/4  eq: 0.434 (0.084) 
 Player: Opponent:  35.75% (G:6.57% B:0.14%) 64.25% (G:22.25% B:0.39%)  

4.  4ply  7/1 4/2  eq: 0.435 (0.085) 
 Player: Opponent:  35.51% (G:7.13% B:0.15%) 64.49% (G:22.78% B:0.40%)  

5.  3ply  7/1 3/1  eq: 0.442 (0.092) 
 Player: Opponent:  35.52% (G:6.39% B:0.11%) 64.48% (G:22.27% B:0.30%)  



62: 9/3* 3/1 


1.  3ply  9/3* 3/1  eq: +0.525 
 Player: Opponent:  67.85% (G:22.02% B:0.23%) 32.15% (G:5.41% B:0.13%)  

2.  2ply  11/5 6/4  eq: +0.208 (0.318) 
 Player: Opponent:  55.47% (G:11.84% B:0.20%) 44.53% (G:5.73% B:0.11%)  

3.  1ply  11/3*  eq: +0.200 (0.325) 
 Player: Opponent:  56.84% (G:16.35% B:0.34%) 43.16% (G:10.46% B:0.26%)  

4.  1ply  9/3* 6/4  eq: +0.068 (0.457) 
 Player: Opponent:  53.33% (G:16.41% B:0.33%) 46.67% (G:14.79% B:0.65%)  

5.  1ply  9/7 9/3*  eq: +0.056 (0.469) 
 Player: Opponent:  53.30% (G:16.25% B:0.31%) 46.70% (G:15.65% B:0.73%)  



11: Cannot Move 


1.  3ply  Cannot Move  eq: 0.699 
 Player: Opponent:  25.79% (G:4.25% B:0.11%) 74.21% (G:26.67% B:0.13%)  



Double/Take 


Analyzed in Rollout 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.19% (G:25.17% B:0.46%) 
74.79% (G:21.15% B:0.38%) 
Opponent Winning Chances: 
25.81% (G:4.75% B:0.19%) 
25.21% (G:4.72% B:0.27%) 
Cubeless Equities 
+0.641 
+0.825 
Cubeful Equities 
No redouble:  +0.714  ±0.006 (+0.708..+0.720) 
Redouble/Take:  +0.377 (0.337)  ±0.012 (+0.365..+0.389) 
Redouble/Pass:  +1.000 (+0.286) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 35.1% 
Rollout details 
1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 8 minutes 44 seconds 


66: 20/14(2) 8/2(2) 


1.  4ply  20/14(2) 8/2(2)  eq: +0.715 
 Player: Opponent:  87.14% (G:34.60% B:0.19%) 12.86% (G:1.58% B:0.05%)  

2.  4ply  20/14 11/5 8/2(2)  eq: +0.638 (0.077) 
 Player: Opponent:  84.37% (G:38.83% B:0.53%) 15.63% (G:2.61% B:0.13%)  

3.  4ply  20/2 8/2  eq: +0.628 (0.087) 
 Player: Opponent:  84.13% (G:39.60% B:0.37%) 15.87% (G:3.32% B:0.22%)  

4.  3ply  20/8(2)  eq: +0.614 (0.101) 
 Player: Opponent:  84.92% (G:18.12% B:0.10%) 15.08% (G:0.80% B:0.01%)  

5.  3ply  20/14 20/8 11/5  eq: +0.571 (0.143) 
 Player: Opponent:  83.25% (G:23.60% B:0.24%) 16.75% (G:1.79% B:0.04%)  



No double 


Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
12.86% (G:1.58% B:0.05%) 
12.93% (G:1.59% B:0.05%) 
Opponent Winning Chances: 
87.14% (G:34.60% B:0.19%) 
87.07% (G:35.20% B:0.22%) 
Cubeless Equities 
0.829 
0.808 
Cubeful Equities 
No redouble:  0.715  
Redouble/Take:  0.808 (0.094)  
Redouble/Pass:  +1.000 (+1.715) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 4.9% 


63: Bar/16* 


1.  3ply  Bar/16*  eq: 0.019 
 Player: Opponent:  34.73% (G:6.07% B:0.16%) 65.27% (G:36.09% B:0.39%)  

2.  1ply  Bar/22 7/1  eq: 0.538 (0.519) 
 Player: Opponent:  17.54% (G:3.42% B:0.05%) 82.46% (G:31.04% B:0.19%)  

3.  1ply  Bar/22 13/7  eq: 0.689 (0.670) 
 Player: Opponent:  14.15% (G:1.87% B:0.06%) 85.85% (G:41.25% B:0.78%)  



11: Bar/24 11/9* 6/5 


1.  XG Roller++  Bar/24 11/9* 6/5  eq: +0.455 
 Player: Opponent:  78.80% (G:48.29% B:0.54%) 21.20% (G:4.41% B:0.19%)  

2.  XG Roller++  Bar/24 14/13 11/9*  eq: +0.411 (0.045) 
 Player: Opponent:  78.20% (G:48.00% B:0.82%) 21.80% (G:5.91% B:0.49%)  

3.  4ply  Bar/24 11/9* 9/8  eq: +0.393 (0.062) 
 Player: Opponent:  76.87% (G:43.92% B:0.41%) 23.13% (G:3.81% B:0.15%)  

4.  1ply  Bar/24 11/9* 5/4  eq: 0.608 (1.063) 
 Player: Opponent:  54.39% (G:26.66% B:0.35%) 45.61% (G:14.35% B:1.03%)  

5.  1ply  Bar/24 11/9* 2/1  eq: 0.630 (1.085) 
 Player: Opponent:  53.20% (G:21.52% B:0.29%) 46.80% (G:12.90% B:0.89%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
21.55% (G:4.10% B:0.15%) 
21.43% (G:4.02% B:0.13%) 
Opponent Winning Chances: 
78.45% (G:47.20% B:0.49%) 
78.57% (G:45.87% B:0.47%) 
Cubeless Equities 
0.658 
0.454 
Cubeful Equities 
No redouble:  0.453  
Redouble/Take:  0.454 (0.000)  
Redouble/Pass:  +1.000 (+1.453) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 0.0% 


42: Cannot Move 


1.  3ply  Cannot Move  eq: 0.693 
 Player: Opponent:  15.15% (G:2.28% B:0.12%) 84.85% (G:54.00% B:0.53%)  



21: 9/6 


1.  XG Roller++  14/11  eq: +0.511 
 Player: Opponent:  80.22% (G:48.94% B:0.48%) 19.78% (G:4.19% B:0.27%)  

2.  XG Roller++  9/6  eq: +0.456 (0.056) 
 Player: Opponent:  78.82% (G:43.67% B:0.42%) 21.18% (G:3.16% B:0.17%)  

3.  3ply  9/7 5/4  eq: +0.366 (0.145) 
 Player: Opponent:  76.46% (G:42.85% B:0.42%) 23.54% (G:4.58% B:0.20%)  

4.  3ply  14/13 9/7  eq: +0.361 (0.150) 
 Player: Opponent:  76.98% (G:46.58% B:0.66%) 23.02% (G:6.17% B:0.48%)  

5.  2ply  5/2  eq: +0.227 (0.284) 
 Player: Opponent:  72.79% (G:36.13% B:0.27%) 27.21% (G:4.69% B:0.20%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
21.05% (G:3.29% B:0.16%) 
20.95% (G:3.26% B:0.16%) 
Opponent Winning Chances: 
78.95% (G:43.76% B:0.48%) 
79.05% (G:42.88% B:0.46%) 
Cubeless Equities 
0.668 
0.483 
Cubeful Equities 
No redouble:  0.460  
Redouble/Take:  0.483 (0.023)  
Redouble/Pass:  +1.000 (+1.460) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 1.5% 


41: Cannot Move 


1.  3ply  Cannot Move  eq: 0.662 
 Player: Opponent:  15.92% (G:2.08% B:0.10%) 84.08% (G:50.10% B:0.41%)  



61: 14/13 14/8 


1.  XG Roller++  14/8 5/4  eq: +0.483 
 Player: Opponent:  79.16% (G:45.70% B:0.40%) 20.84% (G:3.33% B:0.16%)  

2.  XG Roller++  14/13 14/8  eq: +0.483 (0.000) 
 Player: Opponent:  79.03% (G:48.13% B:0.63%) 20.97% (G:3.50% B:0.17%)  

3.  XG Roller++  14/7  eq: +0.472 (0.010) 
 Player: Opponent:  78.80% (G:46.33% B:0.40%) 21.20% (G:3.25% B:0.16%)  

4.  XG Roller++  14/8 6/5  eq: +0.451 (0.032) 
 Player: Opponent:  78.25% (G:44.59% B:0.39%) 21.75% (G:3.46% B:0.17%)  

5.  1ply  14/8 2/1  eq: 0.462 (0.945) 
 Player: Opponent:  57.22% (G:26.21% B:0.28%) 42.78% (G:11.75% B:1.10%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
21.17% (G:3.37% B:0.16%) 
21.18% (G:3.33% B:0.16%) 
Opponent Winning Chances: 
78.83% (G:47.50% B:0.55%) 
78.82% (G:46.29% B:0.52%) 
Cubeless Equities 
0.676 
0.474 
Cubeful Equities 
No redouble:  0.482 (0.008)  
Redouble/Take:  0.474  
Redouble/Pass:  +1.000 (+1.474) 

Best Cube action: Redouble / Take 


65: Cannot Move 


1.  3ply  Cannot Move  eq: 0.740 
 Player: Opponent:  13.89% (G:1.34% B:0.06%) 86.11% (G:52.88% B:0.43%)  



22: 13/9 8/4 


1.  3ply  13/9 8/4  eq: +0.566 
 Player: Opponent:  81.17% (G:45.53% B:0.32%) 18.83% (G:1.93% B:0.06%)  

2.  3ply  13/7 6/4  eq: +0.482 (0.084) 
 Player: Opponent:  78.80% (G:45.56% B:0.33%) 21.20% (G:2.72% B:0.12%)  

3.  3ply  13/5  eq: +0.445 (0.121) 
 Player: Opponent:  77.86% (G:39.76% B:0.27%) 22.14% (G:2.00% B:0.06%)  

4.  3ply  13/11 8/4 6/4  eq: +0.427 (0.139) 
 Player: Opponent:  77.93% (G:38.09% B:0.25%) 22.07% (G:1.78% B:0.07%)  

5.  3ply  13/7 8/6  eq: +0.401 (0.165) 
 Player: Opponent:  76.52% (G:39.01% B:0.28%) 23.48% (G:1.94% B:0.06%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
18.90% (G:2.05% B:0.07%) 
18.81% (G:1.94% B:0.07%) 
Opponent Winning Chances: 
81.10% (G:48.62% B:0.36%) 
81.19% (G:46.96% B:0.33%) 
Cubeless Equities 
0.745 
0.583 
Cubeful Equities 
No redouble:  0.562  
Redouble/Take:  0.583 (0.021)  
Redouble/Pass:  +1.000 (+1.562) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 1.3% 


32: Bar/22 6/4 


1.  3ply  Bar/22 6/4  eq: 0.033 
 Player: Opponent:  32.50% (G:3.77% B:0.16%) 67.50% (G:26.44% B:0.06%)  

2.  1ply  Bar/22 4/2  eq: 0.456 (0.423) 
 Player: Opponent:  20.68% (G:2.30% B:0.09%) 79.32% (G:28.99% B:0.04%)  

3.  1ply  Bar/22 13/11  eq: 0.598 (0.564) 
 Player: Opponent:  18.96% (G:2.11% B:0.10%) 81.04% (G:60.58% B:3.59%)  

4.  1ply  Bar/22 7/5  eq: 0.603 (0.569) 
 Player: Opponent:  18.79% (G:2.40% B:0.11%) 81.21% (G:62.08% B:2.47%)  

5.  1ply  Bar/22 3/1*  eq: 0.822 (0.789) 
 Player: Opponent:  12.85% (G:1.38% B:0.03%) 87.15% (G:71.33% B:4.38%)  



41: 24/20 4/3* 


1.  3ply  24/20 4/3*  eq: +0.260 
 Player: Opponent:  74.62% (G:37.58% B:0.10%) 25.38% (G:7.01% B:0.35%)  

2.  1ply  9/5 4/3*  eq: 0.444 (0.704) 
 Player: Opponent:  55.65% (G:18.76% B:0.08%) 44.35% (G:6.72% B:0.34%)  

3.  1ply  6/2 4/3*  eq: 0.579 (0.839) 
 Player: Opponent:  53.00% (G:17.77% B:0.07%) 47.00% (G:9.07% B:0.63%)  

4.  1ply  5/1 4/3*  eq: 0.595 (0.856) 
 Player: Opponent:  52.51% (G:17.24% B:0.07%) 47.49% (G:8.94% B:0.66%)  

5.  1ply  24/20 9/8  eq: 0.812 (1.072) 
 Player: Opponent:  45.92% (G:10.24% B:0.07%) 54.08% (G:7.00% B:0.25%)  



Double/Take 


Analyzed in Rollout 
No redouble 
Redouble/Take 
Player Winning Chances: 
24.01% (G:7.73% B:0.60%) 
24.24% (G:7.11% B:0.95%) 
Opponent Winning Chances: 
75.99% (G:35.34% B:0.34%) 
75.76% (G:28.72% B:0.01%) 
Cubeless Equities 
0.512 
0.301 
Cubeful Equities 
No redouble:  0.370 (0.069)  ±0.004 (0.375..0.366) 
Redouble/Take:  0.301  ±0.005 (0.306..0.296) 
Redouble/Pass:  +1.000 (+1.301) 

Best Cube action: Redouble / Take 
Rollout details 
1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 2 minutes 57 seconds 


66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.872 
 Player: Opponent:  6.15% (G:0.58% B:0.03%) 93.85% (G:50.49% B:0.07%)  



62: 20/14 5/3 


1.  XG Roller++  20/14 5/3  eq: +0.967 
 Player: Opponent:  98.34% (G:44.98% B:0.05%) 1.66% (G:0.00% B:0.00%)  

2.  XG Roller++  9/3 6/4  eq: +0.930 (0.036) 
 Player: Opponent:  96.54% (G:43.30% B:0.05%) 3.46% (G:0.05% B:0.00%)  

3.  XG Roller++  9/3 5/3  eq: +0.929 (0.038) 
 Player: Opponent:  96.46% (G:43.81% B:0.04%) 3.54% (G:0.06% B:0.00%)  

4.  2ply  20/14 3/1  eq: +0.683 (0.284) 
 Player: Opponent:  84.81% (G:26.61% B:0.07%) 15.19% (G:1.59% B:0.06%)  

5.  1ply  20/14 9/7  eq: +0.484 (0.483) 
 Player: Opponent:  76.76% (G:36.15% B:0.07%) 23.24% (G:6.26% B:0.23%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.950 
 Player: Opponent:  2.52% (G:0.00% B:0.00%) 97.48% (G:52.97% B:0.05%)  



63: 14/5 


1.  XG Roller++  14/5  eq: +0.973 
 Player: Opponent:  98.63% (G:47.64% B:0.06%) 1.37% (G:0.00% B:0.00%)  

2.  XG Roller++  14/8 6/3  eq: +0.964 (0.009) 
 Player: Opponent:  98.20% (G:43.54% B:0.05%) 1.80% (G:0.00% B:0.00%)  

3.  XG Roller++  14/11 9/3  eq: +0.958 (0.015) 
 Player: Opponent:  97.90% (G:46.95% B:0.05%) 2.10% (G:0.00% B:0.00%)  

4.  XG Roller++  14/8 9/6  eq: +0.950 (0.023) 
 Player: Opponent:  97.51% (G:47.83% B:0.06%) 2.49% (G:0.00% B:0.00%)  

5.  XG Roller++  9/3 6/3  eq: +0.932 (0.040) 
 Player: Opponent:  96.63% (G:42.62% B:0.05%) 3.37% (G:0.01% B:0.00%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.958 
 Player: Opponent:  2.08% (G:0.00% B:0.00%) 97.92% (G:46.85% B:0.04%)  



21: 9/6 


1.  XG Roller++  9/8 6/4  eq: +0.980 
 Player: Opponent:  98.98% (G:42.12% B:0.04%) 1.02% (G:0.00% B:0.00%)  

2.  XG Roller++  6/3  eq: +0.976 (0.003) 
 Player: Opponent:  98.81% (G:42.85% B:0.04%) 1.19% (G:0.00% B:0.00%)  

3.  XG Roller++  9/7 5/4  eq: +0.976 (0.004) 
 Player: Opponent:  98.80% (G:43.17% B:0.04%) 1.20% (G:0.00% B:0.00%)  

4.  XG Roller++  9/8 5/3  eq: +0.973 (0.006) 
 Player: Opponent:  98.66% (G:43.32% B:0.04%) 1.34% (G:0.00% B:0.00%)  

5.  XG Roller++  9/6  eq: +0.949 (0.031) 
 Player: Opponent:  97.44% (G:49.84% B:0.06%) 2.56% (G:0.00% B:0.00%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.948 
 Player: Opponent:  2.62% (G:0.00% B:0.00%) 97.38% (G:47.43% B:0.05%)  



11: 6/5 6/3 


1.  XG Roller++  6/5 6/3  eq: +0.985 
 Player: Opponent:  99.26% (G:37.06% B:0.03%) 0.74% (G:0.00% B:0.00%)  

2.  XG Roller++  6/2  eq: +0.973 (0.012) 
 Player: Opponent:  98.64% (G:45.03% B:0.04%) 1.36% (G:0.00% B:0.00%)  

3.  XG Roller++  6/5(4)  eq: +0.968 (0.017) 
 Player: Opponent:  98.42% (G:26.78% B:0.04%) 1.58% (G:0.00% B:0.00%)  

4.  XG Roller++  6/4(2)  eq: +0.963 (0.022) 
 Player: Opponent:  98.16% (G:38.49% B:0.04%) 1.84% (G:0.00% B:0.00%)  

5.  XG Roller++  5/1  eq: +0.960 (0.025) 
 Player: Opponent:  98.00% (G:43.87% B:0.04%) 2.00% (G:0.00% B:0.00%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.971 
 Player: Opponent:  1.47% (G:0.00% B:0.00%) 98.53% (G:43.17% B:0.05%)  



42: 5/3 5/1 


1.  XG Roller++  6/4 6/2  eq: +0.989 
 Player: Opponent:  99.47% (G:33.36% B:0.02%) 0.53% (G:0.00% B:0.00%)  

2.  XG Roller++  5/3 5/1  eq: +0.975 (0.015) 
 Player: Opponent:  98.74% (G:39.04% B:0.02%) 1.26% (G:0.00% B:0.00%)  

3.  4ply  5/1 3/1  eq: +0.918 (0.072) 
 Player: Opponent:  95.89% (G:43.35% B:0.04%) 4.11% (G:0.00% B:0.00%)  

4.  4ply  4/2 4/Off  eq: +0.914 (0.075) 
 Player: Opponent:  95.72% (G:32.54% B:0.05%) 4.28% (G:0.00% B:0.00%)  

5.  1ply  6/Off  eq: +0.647 (0.343) 
 Player: Opponent:  82.33% (G:36.60% B:0.10%) 17.67% (G:0.00% B:0.00%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.975 
 Player: Opponent:  1.26% (G:0.00% B:0.00%) 98.74% (G:42.55% B:0.04%)  



62: 6/4 6/Off 


1.  3ply  6/4 6/Off  eq: +0.972 
 Player: Opponent:  98.61% (G:39.82% B:0.03%) 1.39% (G:0.00% B:0.00%)  

2.  1ply  6/Off 3/1  eq: +0.591 (0.381) 
 Player: Opponent:  79.54% (G:37.32% B:0.06%) 20.46% (G:0.00% B:0.00%)  

3.  1ply  6/Off 5/3  eq: +0.267 (0.705) 
 Player: Opponent:  63.35% (G:23.79% B:0.07%) 36.65% (G:0.00% B:0.00%)  

4.  1ply  6/Off 4/2  eq: +0.196 (0.776) 
 Player: Opponent:  59.81% (G:20.90% B:0.05%) 40.19% (G:0.00% B:0.00%)  

5.  1ply  6/Off 2/Off  eq: +0.169 (0.803) 
 Player: Opponent:  58.47% (G:22.73% B:0.10%) 41.53% (G:0.00% B:0.00%)  



43: Cannot Move 


1.  3ply  Cannot Move  eq: 0.959 
 Player: Opponent:  2.05% (G:0.00% B:0.00%) 97.95% (G:49.89% B:0.05%)  



62: 5/3 5/Off 


1.  3ply  5/3 5/Off  eq: +0.972 
 Player: Opponent:  98.58% (G:47.26% B:0.05%) 1.42% (G:0.00% B:0.00%)  

2.  1ply  5/Off 3/1  eq: +0.667 (0.305) 
 Player: Opponent:  83.33% (G:40.02% B:0.09%) 16.67% (G:0.00% B:0.00%)  

3.  1ply  5/Off 4/2  eq: +0.626 (0.346) 
 Player: Opponent:  81.28% (G:39.15% B:0.10%) 18.72% (G:0.00% B:0.00%)  

4.  1ply  5/Off 2/Off  eq: +0.260 (0.712) 
 Player: Opponent:  62.99% (G:25.29% B:0.17%) 37.01% (G:0.00% B:0.00%)  



11: Cannot Move 


1.  3ply  Cannot Move  eq: 0.940 
 Player: Opponent:  2.99% (G:0.00% B:0.00%) 97.01% (G:69.72% B:0.08%)  



64: 4/Off(2) 


1.  3ply  4/Off(2)  eq: +0.659 
 Player: Opponent:  82.97% (G:54.24% B:0.08%) 17.03% (G:0.00% B:0.00%)  



22: Cannot Move 


1.  3ply  Cannot Move  eq: 0.998 
 Player: Opponent:  0.11% (G:0.00% B:0.00%) 99.89% (G:90.42% B:0.16%)  



54: 4/Off 3/Off 


1.  3ply  4/Off 3/Off  eq: +0.999 
 Player: Opponent:  99.95% (G:91.20% B:0.13%) 0.05% (G:0.00% B:0.00%)  



22: Cannot Move 


1.  3ply  Cannot Move  eq: 0.998 
 Player: Opponent:  0.09% (G:0.00% B:0.00%) 99.91% (G:97.91% B:0.36%)  



32: 3/1 3/Off 


1.  3ply  3/1 3/Off  eq: +1.000 
 Player: Opponent:  99.98% (G:95.90% B:0.31%) 0.02% (G:0.00% B:0.00%)  

2.  2ply  3/Off 2/Off  eq: +0.711 (0.289) 
 Player: Opponent:  85.54% (G:72.41% B:0.52%) 14.46% (G:0.00% B:0.00%)  



31: Cannot Move 


1.  3ply  Cannot Move  eq: 0.997 
 Player: Opponent:  0.14% (G:0.00% B:0.00%) 99.86% (G:98.92% B:1.25%)  



52: 3/1 3/Off 


1.  3ply  3/1 3/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:99.34% B:0.13%) 0.00% (G:0.00% B:0.00%)  

2.  1ply  3/Off 2/Off  eq: +0.474 (0.526) 
 Player: Opponent:  73.72% (G:53.39% B:0.68%) 26.28% (G:0.00% B:0.00%)  



53: ???? 


1.  XG Roller++  Bar/17  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.89% B:0.00%)  

2.  XG Roller++  Bar/20 6/3  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.95% B:0.00%)  

3.  XG Roller++  Bar/20 7/4  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.96% B:0.00%)  

4.  XG Roller++  Bar/20 4/1  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.97% B:0.00%)  

5.  XG Roller++  Bar/20 13/10  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.98% B:0.00%)  



Resigns the match 



