63: 24/18 13/10 


1.  Book^{1}  24/18 13/10  eq: 0.040 
 Player: Opponent:  50.29% (G:12.60% B:0.56%) 49.71% (G:13.16% B:0.53%)  

2.  Book^{1}  24/15  eq: 0.053 (0.013) 
 Player: Opponent:  50.36% (G:11.59% B:0.49%) 49.64% (G:13.05% B:0.46%)  

3.  Book^{1}  24/21 13/7  eq: 0.110 (0.070) 
 Player: Opponent:  48.46% (G:12.98% B:0.57%) 51.54% (G:13.70% B:0.58%)  

4.  Book^{1}  13/4  eq: 0.110 (0.070) 
 Player: Opponent:  48.44% (G:13.76% B:0.67%) 51.56% (G:14.16% B:0.73%)  

5.  Book^{1}  24/21 24/18  eq: 0.133 (0.093) 
 Player: Opponent:  48.72% (G:11.41% B:0.52%) 51.28% (G:14.87% B:0.51%)  


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



31: 8/5 6/5 


1.  4ply  8/5 6/5  eq: 0.055 
 Player: Opponent:  47.85% (G:12.48% B:0.43%) 52.15% (G:12.63% B:0.58%)  

2.  4ply  24/21 8/7*  eq: 0.098 (0.043) 
 Player: Opponent:  47.08% (G:12.09% B:0.53%) 52.92% (G:13.84% B:0.66%)  

3.  4ply  13/10 8/7*  eq: 0.105 (0.050) 
 Player: Opponent:  47.11% (G:12.93% B:0.60%) 52.89% (G:15.54% B:1.05%)  

4.  3ply  8/7* 7/4  eq: 0.179 (0.124) 
 Player: Opponent:  45.47% (G:11.92% B:0.52%) 54.53% (G:16.21% B:1.01%)  

5.  2ply  24/21 6/5  eq: 0.236 (0.181) 
 Player: Opponent:  44.18% (G:10.16% B:0.39%) 55.82% (G:15.70% B:0.80%)  



21: 13/10 


1.  3ply  13/10  eq: 0.195 
 Player: Opponent:  46.59% (G:11.50% B:0.61%) 53.41% (G:17.19% B:0.57%)  

2.  3ply  18/15  eq: 0.331 (0.136) 
 Player: Opponent:  43.30% (G:9.93% B:0.47%) 56.70% (G:18.06% B:0.81%)  

3.  3ply  18/16 6/5  eq: 0.334 (0.139) 
 Player: Opponent:  43.87% (G:10.28% B:0.49%) 56.13% (G:19.95% B:1.30%)  

4.  3ply  24/23 10/8  eq: 0.340 (0.145) 
 Player: Opponent:  43.24% (G:10.21% B:0.49%) 56.76% (G:19.04% B:0.62%)  

5.  3ply  24/23 18/16  eq: 0.341 (0.147) 
 Player: Opponent:  43.18% (G:10.04% B:0.46%) 56.82% (G:18.66% B:0.81%)  



65: 24/13 


1.  Rollout^{1}  13/8 13/7*  eq: +0.370 
 Player: Opponent:  57.00% (G:20.23% B:0.94%) 43.00% (G:11.14% B:0.64%)  Conf.: ± 0.015 (+0.354...+0.385)  [100.0%] Duration: 14 minutes 39 seconds 

2.  Rollout^{1}  24/13  eq: 0.030 (0.399) 
 Player: Opponent:  49.30% (G:10.85% B:0.43%) 50.70% (G:10.56% B:0.34%)  Conf.: ± 0.012 (0.042...0.018)  [0.0%] Duration: 15 minutes 13 seconds 

3.  4ply  13/7* 6/1*  eq: +0.310 (0.059) 
 Player: Opponent:  55.13% (G:21.16% B:0.54%) 44.87% (G:11.79% B:0.71%)  

4.  2ply  13/7* 7/2  eq: +0.123 (0.247) 
 Player: Opponent:  51.81% (G:16.95% B:0.58%) 48.19% (G:12.81% B:0.83%)  

5.  2ply  24/18 13/8  eq: +0.051 (0.319) 
 Player: Opponent:  50.89% (G:11.66% B:0.32%) 49.11% (G:10.08% B:0.35%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



32: 18/13 


1.  3ply  18/13  eq: 0.181 
 Player: Opponent:  46.04% (G:8.60% B:0.29%) 53.96% (G:12.93% B:0.26%)  

2.  3ply  24/22 18/15  eq: 0.308 (0.127) 
 Player: Opponent:  43.45% (G:7.87% B:0.28%) 56.55% (G:15.39% B:0.41%)  

3.  3ply  24/21 18/16  eq: 0.327 (0.147) 
 Player: Opponent:  43.19% (G:8.04% B:0.34%) 56.81% (G:16.48% B:0.44%)  

4.  2ply  24/22 13/10  eq: 0.367 (0.186) 
 Player: Opponent:  41.93% (G:9.09% B:0.38%) 58.07% (G:17.89% B:0.60%)  

5.  2ply  18/16 13/10  eq: 0.367 (0.186) 
 Player: Opponent:  41.51% (G:8.84% B:0.28%) 58.49% (G:16.66% B:0.61%)  



32: 13/11 13/10 


1.  XG Roller++  13/11 13/10  eq: +0.087 
 Player: Opponent:  51.44% (G:12.94% B:0.31%) 48.56% (G:10.35% B:0.35%)  

2.  XG Roller++  13/8  eq: +0.067 (0.020) 
 Player: Opponent:  51.01% (G:11.45% B:0.25%) 48.99% (G:8.96% B:0.26%)  

3.  XG Roller++  24/22 13/10  eq: +0.060 (0.027) 
 Player: Opponent:  51.54% (G:10.54% B:0.29%) 48.46% (G:9.92% B:0.28%)  

4.  4ply  24/21 13/11  eq: +0.022 (0.065) 
 Player: Opponent:  50.70% (G:9.81% B:0.26%) 49.30% (G:10.28% B:0.30%)  

5.  3ply  13/10 6/4  eq: 0.011 (0.098) 
 Player: Opponent:  49.31% (G:12.17% B:0.44%) 50.69% (G:11.87% B:0.46%)  



51: 10/5 6/5 


1.  3ply  10/5 6/5  eq: 0.125 
 Player: Opponent:  47.05% (G:10.63% B:0.37%) 52.95% (G:12.47% B:0.31%)  

2.  2ply  24/23 13/8  eq: 0.391 (0.266) 
 Player: Opponent:  40.96% (G:8.02% B:0.22%) 59.04% (G:16.83% B:0.42%)  

3.  2ply  13/8 6/5  eq: 0.441 (0.316) 
 Player: Opponent:  39.34% (G:8.42% B:0.28%) 60.66% (G:17.01% B:0.65%)  

4.  1ply  24/23 6/1*  eq: 0.448 (0.323) 
 Player: Opponent:  39.50% (G:8.30% B:0.31%) 60.50% (G:17.75% B:0.52%)  

5.  1ply  13/7  eq: 0.459 (0.334) 
 Player: Opponent:  38.90% (G:8.18% B:0.33%) 61.10% (G:17.06% B:0.58%)  



63: 24/15* 


1.  3ply  24/15*  eq: +0.671 
 Player: Opponent:  66.94% (G:13.88% B:0.51%) 33.06% (G:6.87% B:0.22%)  

2.  1ply  13/7 10/7  eq: +0.226 (0.445) 
 Player: Opponent:  55.78% (G:13.19% B:0.46%) 44.22% (G:9.83% B:0.32%)  

3.  1ply  13/10 11/5  eq: +0.029 (0.643) 
 Player: Opponent:  50.24% (G:11.99% B:0.38%) 49.76% (G:10.93% B:0.21%)  

4.  1ply  24/18 13/10  eq: 0.055 (0.726) 
 Player: Opponent:  49.35% (G:9.61% B:0.46%) 50.65% (G:13.26% B:0.32%)  

5.  1ply  24/21 11/5  eq: 0.104 (0.776) 
 Player: Opponent:  47.34% (G:10.93% B:0.38%) 52.66% (G:13.71% B:0.33%)  



32: Bar/23 13/10* 


1.  3ply  Bar/23 13/10*  eq: 0.150 
 Player: Opponent:  46.06% (G:13.45% B:0.49%) 53.94% (G:13.98% B:0.66%)  

2.  1ply  Bar/22 24/22  eq: 0.680 (0.531) 
 Player: Opponent:  29.42% (G:3.07% B:0.10%) 70.58% (G:6.05% B:0.11%)  

3.  1ply  Bar/22 6/4  eq: 0.766 (0.617) 
 Player: Opponent:  30.94% (G:5.38% B:0.25%) 69.06% (G:14.65% B:0.43%)  

4.  1ply  Bar/22 13/11  eq: 0.792 (0.642) 
 Player: Opponent:  30.83% (G:5.36% B:0.25%) 69.17% (G:15.42% B:0.56%)  

5.  1ply  Bar/23 24/21  eq: 0.797 (0.648) 
 Player: Opponent:  30.64% (G:5.01% B:0.22%) 69.36% (G:15.22% B:0.37%)  



31: Bar/22 11/10 


1.  4ply  Bar/22 11/10  eq: +0.221 
 Player: Opponent:  56.39% (G:12.51% B:0.57%) 43.61% (G:12.27% B:0.33%)  

2.  4ply  Bar/24 13/10  eq: +0.172 (0.050) 
 Player: Opponent:  54.30% (G:14.23% B:0.61%) 45.70% (G:12.83% B:0.44%)  

3.  3ply  Bar/24 11/8  eq: +0.086 (0.136) 
 Player: Opponent:  52.28% (G:13.43% B:0.59%) 47.72% (G:13.30% B:0.41%)  

4.  3ply  Bar/22 6/5  eq: +0.078 (0.144) 
 Player: Opponent:  52.51% (G:13.29% B:0.68%) 47.49% (G:14.57% B:0.49%)  

5.  2ply  Bar/22 10/9  eq: +0.031 (0.190) 
 Player: Opponent:  51.34% (G:12.46% B:0.63%) 48.66% (G:14.62% B:0.65%)  



54: 13/9 8/3* 


1.  XG Roller++  13/9 8/3*  eq: 0.431 
 Player: Opponent:  40.39% (G:12.58% B:0.35%) 59.61% (G:18.99% B:1.54%)  

2.  XG Roller++  10/6 8/3*  eq: 0.437 (0.005) 
 Player: Opponent:  39.45% (G:11.50% B:0.31%) 60.55% (G:16.15% B:0.91%)  

3.  XG Roller++  10/5 6/2  eq: 0.448 (0.016) 
 Player: Opponent:  38.29% (G:9.95% B:0.23%) 61.71% (G:14.70% B:0.67%)  

4.  XG Roller++  23/18 10/6  eq: 0.475 (0.043) 
 Player: Opponent:  38.83% (G:9.83% B:0.37%) 61.17% (G:17.24% B:0.71%)  

5.  3ply  13/8 10/6  eq: 0.503 (0.072) 
 Player: Opponent:  36.58% (G:8.70% B:0.23%) 63.42% (G:14.01% B:0.54%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
59.69% (G:19.27% B:1.61%) 
59.70% (G:19.24% B:1.60%) 
Opponent Winning Chances: 
40.31% (G:12.72% B:0.35%) 
40.30% (G:12.69% B:0.35%) 
Cubeless Equities 
+0.247 
+0.510 
Cubeful Equities 
No double:  +0.430  
Double/Take:  +0.339 (0.090)  
Double/Pass:  +1.000 (+0.570) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.0% 


63: Bar/22* 22/16* 


1.  3ply  Bar/22* 22/16*  eq: +0.977 
 Player: Opponent:  69.45% (G:31.36% B:3.35%) 30.55% (G:5.04% B:0.19%)  

2.  1ply  Bar/22* 8/2*  eq: +0.598 (0.379) 
 Player: Opponent:  60.85% (G:28.05% B:3.18%) 39.15% (G:11.74% B:0.69%)  

3.  1ply  Bar/22* 13/7  eq: +0.544 (0.433) 
 Player: Opponent:  61.44% (G:23.25% B:1.99%) 38.56% (G:11.04% B:0.44%)  

4.  1ply  Bar/22* 10/4  eq: +0.284 (0.693) 
 Player: Opponent:  55.55% (G:21.17% B:1.87%) 44.45% (G:15.70% B:0.97%)  



54: Bar/21 


1.  3ply  Bar/21  eq: 1.007 
 Player: Opponent:  29.83% (G:4.61% B:0.22%) 70.17% (G:37.47% B:4.64%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
70.02% (G:38.04% B:5.09%) 
69.80% (G:38.98% B:5.42%) 
Opponent Winning Chances: 
29.98% (G:4.95% B:0.23%) 
30.20% (G:5.33% B:0.26%) 
Cubeless Equities 
+0.770 
+1.608 
Cubeful Equities 
No double:  +1.022  
Double/Take:  +1.435 (+0.413)  
Double/Pass:  +1.000 (0.022) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 5.1% 


11: 6/4*(2) 


1.  4ply  6/4*(2)  eq: +1.099 
 Player: Opponent:  73.94% (G:38.80% B:4.99%) 26.06% (G:3.17% B:0.16%)  

2.  4ply  16/15* 10/9 6/4*  eq: +1.031 (0.068) 
 Player: Opponent:  70.07% (G:39.10% B:5.66%) 29.93% (G:4.96% B:0.30%)  

3.  4ply  16/15* 15/14 6/4*  eq: +1.029 (0.070) 
 Player: Opponent:  69.90% (G:37.60% B:5.13%) 30.10% (G:4.40% B:0.21%)  

4.  4ply  16/15* 10/9 5/4*(2)  eq: +1.027 (0.073) 
 Player: Opponent:  69.04% (G:40.56% B:5.92%) 30.96% (G:4.55% B:0.27%)  

5.  3ply  16/15* 15/14 5/4*(2)  eq: +1.021 (0.078) 
 Player: Opponent:  68.59% (G:38.17% B:4.81%) 31.41% (G:4.58% B:0.20%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 1.218 
 Player: Opponent:  24.26% (G:2.40% B:0.14%) 75.74% (G:48.99% B:7.73%)  



31: 16/15* 10/7 


1.  4ply  16/15* 10/7  eq: +1.229 
 Player: Opponent:  75.75% (G:48.96% B:8.06%) 24.25% (G:2.29% B:0.15%)  

2.  4ply  16/15* 13/10  eq: +1.186 (0.044) 
 Player: Opponent:  74.16% (G:46.96% B:7.55%) 25.84% (G:2.59% B:0.14%)  

3.  4ply  16/15* 8/5  eq: +1.184 (0.046) 
 Player: Opponent:  73.43% (G:47.94% B:7.95%) 26.57% (G:3.03% B:0.18%)  

4.  4ply  10/9 10/7  eq: +1.165 (0.064) 
 Player: Opponent:  75.63% (G:43.69% B:6.22%) 24.37% (G:2.99% B:0.18%)  

5.  3ply  10/7 8/7  eq: +1.157 (0.072) 
 Player: Opponent:  76.04% (G:43.40% B:6.04%) 23.96% (G:2.73% B:0.14%)  



65: Cannot Move 


1.  3ply  Cannot Move  eq: 1.381 
 Player: Opponent:  21.11% (G:1.97% B:0.15%) 78.89% (G:58.22% B:11.74%)  



64: 13/7 10/6 


1.  Rollout^{1}  13/9 8/2*  eq: +1.342 
 Player: Opponent:  78.62% (G:57.71% B:13.26%) 21.38% (G:2.45% B:0.18%)  Conf.: ± 0.014 (+1.327...+1.356)  [100.0%] Duration: 12 minutes 42 seconds 

2.  Rollout^{1}  13/7 10/6  eq: +1.283 (0.058) 
 Player: Opponent:  77.79% (G:55.28% B:10.55%) 22.21% (G:1.89% B:0.12%)  Conf.: ± 0.013 (+1.270...+1.296)  [0.0%] Duration: 13 minutes 34 seconds 

3.  XG Roller++  10/6 8/2*  eq: +1.376 (+0.034) 
 Player: Opponent:  77.95% (G:57.62% B:12.50%) 22.05% (G:2.53% B:0.15%)  

4.  XG Roller++  15/11 8/2*  eq: +1.360 (+0.019) 
 Player: Opponent:  77.92% (G:56.51% B:11.81%) 22.08% (G:2.36% B:0.14%)  

5.  4ply  8/4 8/2*  eq: +1.326 (0.016) 
 Player: Opponent:  76.45% (G:56.32% B:11.28%) 23.55% (G:2.68% B:0.17%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



53: Bar/22 


1.  3ply  Bar/22  eq: 1.434 
 Player: Opponent:  20.44% (G:1.50% B:0.10%) 79.56% (G:61.58% B:12.71%)  



11: 4/3*(2) 3/2*(2) 


1.  XG Roller++  4/3*(2) 3/2*(2)  eq: +1.451 
 Player: Opponent:  79.63% (G:62.63% B:13.48%) 20.37% (G:2.06% B:0.12%)  

2.  XG Roller++  6/3* 3/2*  eq: +1.421 (0.031) 
 Player: Opponent:  79.69% (G:59.19% B:12.82%) 20.31% (G:1.82% B:0.10%)  

3.  3ply  15/14 4/3* 3/2* 2/1*  eq: +1.328 (0.124) 
 Player: Opponent:  78.40% (G:55.82% B:9.14%) 21.60% (G:3.34% B:0.12%)  

4.  3ply  6/5 4/3* 3/2* 2/1*  eq: +1.327 (0.124) 
 Player: Opponent:  78.40% (G:55.71% B:9.21%) 21.60% (G:3.46% B:0.12%)  

5.  3ply  4/3*(2) 3/2* 2/1*  eq: +1.327 (0.125) 
 Player: Opponent:  78.12% (G:55.94% B:9.37%) 21.88% (G:3.44% B:0.12%)  



54: Bar/21 


1.  3ply  Bar/21  eq: 1.534 
 Player: Opponent:  18.65% (G:2.00% B:0.13%) 81.35% (G:67.58% B:14.79%)  



21: 7/4* 


1.  XG Roller++  7/4*  eq: +1.396 
 Player: Opponent:  78.04% (G:60.33% B:13.56%) 21.96% (G:2.65% B:0.14%)  

2.  XG Roller++  6/4* 4/3  eq: +1.376 (0.020) 
 Player: Opponent:  77.50% (G:58.73% B:12.57%) 22.50% (G:2.69% B:0.15%)  

3.  XG Roller++  6/4* 5/4  eq: +1.363 (0.033) 
 Player: Opponent:  77.43% (G:58.40% B:12.62%) 22.57% (G:2.76% B:0.15%)  

4.  XG Roller++  15/14 6/4*  eq: +1.360 (0.036) 
 Player: Opponent:  77.27% (G:58.16% B:12.34%) 22.73% (G:2.75% B:0.15%)  

5.  XG Roller++  8/7 6/4*  eq: +1.349 (0.047) 
 Player: Opponent:  76.93% (G:58.26% B:12.43%) 23.07% (G:2.89% B:0.15%)  



32: Bar/22 


1.  3ply  Bar/22  eq: 1.609 
 Player: Opponent:  16.80% (G:1.37% B:0.09%) 83.20% (G:70.48% B:16.54%)  



33: 13/10 8/5 7/4 6/3* 


1.  Rollout^{1}  7/1* 6/3* 4/1  eq: +1.795 
 Player: Opponent:  88.03% (G:78.82% B:21.14%) 11.97% (G:1.57% B:0.11%)  Conf.: ± 0.009 (+1.786...+1.804)  [100.0%] Duration: 6 minutes 20 seconds 

2.  Rollout^{1}  13/10 8/5 7/4 6/3*  eq: +1.595 (0.200) 
 Player: Opponent:  83.25% (G:69.89% B:20.59%) 16.75% (G:1.05% B:0.08%)  Conf.: ± 0.013 (+1.582...+1.608)  [0.0%] Duration: 8 minutes 23 seconds 

3.  4ply  13/10 7/1* 4/1  eq: +1.716 (0.079) 
 Player: Opponent:  86.53% (G:77.64% B:14.95%) 13.47% (G:1.33% B:0.09%)  

4.  4ply  8/5 7/1* 4/1  eq: +1.710 (0.085) 
 Player: Opponent:  86.49% (G:77.42% B:14.59%) 13.51% (G:1.34% B:0.09%)  

5.  3ply  13/4 6/3*  eq: +1.630 (0.165) 
 Player: Opponent:  83.38% (G:70.19% B:18.41%) 16.62% (G:1.17% B:0.05%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



64: Cannot Move 


1.  3ply  Cannot Move  eq: 1.861 
 Player: Opponent:  10.79% (G:0.65% B:0.05%) 89.21% (G:80.42% B:22.68%)  



21: 8/7 5/3 


1.  Rollout^{1}  10/9 3/1*  eq: +1.869 
 Player: Opponent:  89.18% (G:80.08% B:26.18%) 10.82% (G:0.87% B:0.04%)  Conf.: ± 0.010 (+1.859...+1.880)  [100.0%] Duration: 5 minutes 49 seconds 

2.  Rollout^{1}  8/7 5/3  eq: +1.807 (0.063) 
 Player: Opponent:  88.06% (G:77.29% B:25.64%) 11.94% (G:0.25% B:0.01%)  Conf.: ± 0.011 (+1.795...+1.818)  [0.0%] Duration: 6 minutes 26 seconds 

3.  XG Roller++  8/7 3/1*  eq: +1.857 (0.012) 
 Player: Opponent:  89.12% (G:80.10% B:22.52%) 10.88% (G:0.89% B:0.05%)  

4.  XG Roller++  3/1* 2/1  eq: +1.856 (0.013) 
 Player: Opponent:  88.99% (G:80.42% B:22.21%) 11.01% (G:1.07% B:0.06%)  

5.  XG Roller++  5/4 3/1*  eq: +1.844 (0.025) 
 Player: Opponent:  88.65% (G:79.24% B:22.94%) 11.35% (G:0.93% B:0.05%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



61: Bar/24 


1.  3ply  Bar/24  eq: 1.496 
 Player: Opponent:  20.11% (G:0.17% B:0.03%) 79.89% (G:63.06% B:17.04%)  



62: 15/7 


1.  XG Roller++  15/9 13/11  eq: +1.531 
 Player: Opponent:  81.22% (G:63.76% B:17.89%) 18.78% (G:0.18% B:0.01%)  

2.  XG Roller++  15/9 7/5  eq: +1.528 (0.003) 
 Player: Opponent:  81.11% (G:63.63% B:17.84%) 18.89% (G:0.15% B:0.01%)  

3.  XG Roller++  13/11 13/7  eq: +1.527 (0.004) 
 Player: Opponent:  81.08% (G:63.64% B:17.77%) 18.92% (G:0.14% B:0.01%)  

4.  XG Roller++  13/5  eq: +1.524 (0.007) 
 Player: Opponent:  80.92% (G:63.54% B:17.88%) 19.08% (G:0.20% B:0.01%)  

5.  XG Roller++  15/9 10/8  eq: +1.519 (0.012) 
 Player: Opponent:  80.86% (G:63.58% B:17.39%) 19.14% (G:0.15% B:0.01%)  

6.  XG Roller++  15/7  eq: +1.518 (0.013) 
 Player: Opponent:  80.81% (G:63.54% B:17.38%) 19.19% (G:0.15% B:0.01%)  



53: Cannot Move 


1.  3ply  Cannot Move  eq: 1.488 
 Player: Opponent:  20.50% (G:0.15% B:0.02%) 79.50% (G:62.91% B:17.02%)  



51: 13/8 10/9 


1.  XG Roller++  13/8 10/9  eq: +1.536 
 Player: Opponent:  81.20% (G:64.19% B:17.95%) 18.80% (G:0.10% B:0.01%)  

2.  XG Roller++  13/8 7/6  eq: +1.535 (0.000) 
 Player: Opponent:  81.13% (G:63.97% B:18.26%) 18.87% (G:0.16% B:0.01%)  

3.  XG Roller++  10/5 7/6  eq: +1.528 (0.007) 
 Player: Opponent:  80.94% (G:63.78% B:18.01%) 19.06% (G:0.14% B:0.01%)  

4.  XG Roller++  10/4  eq: +1.527 (0.008) 
 Player: Opponent:  80.95% (G:63.97% B:17.74%) 19.05% (G:0.14% B:0.01%)  

5.  XG Roller++  13/7  eq: +1.523 (0.012) 
 Player: Opponent:  80.80% (G:63.85% B:17.63%) 19.20% (G:0.12% B:0.01%)  



41: Bar/24 


1.  3ply  Bar/24  eq: 1.498 
 Player: Opponent:  19.71% (G:0.15% B:0.01%) 80.29% (G:63.23% B:16.44%)  



62: 13/7 8/6 


1.  Rollout^{1}  13/5  eq: +1.349 
 Player: Opponent:  79.02% (G:62.64% B:15.65%) 20.98% (G:0.02% B:0.00%)  Conf.: ± 0.017 (+1.331...+1.366)  [100.0%] Duration: 9 minutes 28 seconds 

2.  Rollout^{1}  13/7 8/6  eq: +1.308 (0.041) 
 Player: Opponent:  78.22% (G:61.82% B:15.00%) 21.78% (G:0.04% B:0.00%)  Conf.: ± 0.015 (+1.292...+1.323)  [0.0%] Duration: 8 minutes 50 seconds 

3.  XG Roller++  9/3 7/5  eq: +1.516 (+0.168) 
 Player: Opponent:  80.72% (G:63.48% B:17.37%) 19.28% (G:0.14% B:0.01%)  

4.  XG Roller++  13/11 9/3  eq: +1.512 (+0.163) 
 Player: Opponent:  80.60% (G:63.53% B:17.19%) 19.40% (G:0.09% B:0.00%)  

5.  XG Roller++  9/3 8/6  eq: +1.493 (+0.145) 
 Player: Opponent:  80.01% (G:62.86% B:16.92%) 19.99% (G:0.14% B:0.01%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



41: Bar/24 


1.  3ply  Bar/24  eq: 1.468 
 Player: Opponent:  20.25% (G:0.18% B:0.01%) 79.75% (G:62.32% B:15.02%)  



64: 9/3 7/3 


1.  4ply  9/3 7/3  eq: +1.445 
 Player: Opponent:  78.70% (G:61.37% B:15.22%) 21.30% (G:0.24% B:0.01%)  

2.  4ply  9/3 6/2  eq: +1.376 (0.069) 
 Player: Opponent:  76.34% (G:59.59% B:13.83%) 23.66% (G:0.45% B:0.01%)  



54: Cannot Move 


1.  3ply  Cannot Move  eq: 1.467 
 Player: Opponent:  20.90% (G:0.21% B:0.01%) 79.10% (G:62.09% B:16.22%)  



44: 7/3 6/2(3) 


1.  4ply  7/3 6/2(3)  eq: +1.298 
 Player: Opponent:  75.13% (G:59.98% B:12.00%) 24.87% (G:0.76% B:0.02%)  

2.  4ply  7/3(2) 4/Off(2)  eq: +1.243 (0.054) 
 Player: Opponent:  72.27% (G:54.13% B:14.18%) 27.73% (G:0.00% B:0.00%)  

3.  2ply  7/3(2) 6/2(2)  eq: +1.089 (0.208) 
 Player: Opponent:  69.04% (G:52.81% B:11.27%) 30.96% (G:2.83% B:0.04%)  

4.  2ply  7/3(2) 6/2 4/Off  eq: +0.966 (0.332) 
 Player: Opponent:  63.49% (G:48.00% B:11.23%) 36.51% (G:0.00% B:0.00%)  



65: Bar/19 24/19 


1.  3ply  Bar/19 24/19  eq: 1.270 
 Player: Opponent:  24.23% (G:0.55% B:0.01%) 75.77% (G:58.69% B:9.25%)  

2.  3ply  Bar/19 13/8  eq: 1.381 (0.111) 
 Player: Opponent:  22.12% (G:0.21% B:0.01%) 77.88% (G:62.43% B:11.30%)  

3.  3ply  Bar/14  eq: 1.389 (0.119) 
 Player: Opponent:  21.78% (G:0.16% B:0.00%) 78.22% (G:63.18% B:11.01%)  

4.  2ply  Bar/19 8/3  eq: 1.442 (0.172) 
 Player: Opponent:  21.10% (G:0.16% B:0.00%) 78.90% (G:64.18% B:11.77%)  

5.  2ply  Bar/19 6/1  eq: 1.449 (0.178) 
 Player: Opponent:  20.84% (G:0.15% B:0.00%) 79.16% (G:64.61% B:11.53%)  



54: 7/3 5/Off 


1.  3ply  7/3 5/Off  eq: +1.041 
 Player: Opponent:  68.34% (G:52.70% B:8.57%) 31.66% (G:0.00% B:0.00%)  

2.  2ply  7/2 4/Off  eq: +0.894 (0.147) 
 Player: Opponent:  63.91% (G:48.48% B:6.55%) 36.09% (G:0.00% B:0.00%)  



43: 24/20* 19/16 


1.  4ply  24/20* 19/16  eq: 0.069 
 Player: Opponent:  58.83% (G:0.00% B:0.00%) 41.17% (G:25.79% B:2.33%)  

2.  4ply  24/20* 20/17  eq: 0.113 (0.045) 
 Player: Opponent:  57.70% (G:0.00% B:0.00%) 42.30% (G:26.36% B:2.57%)  

3.  3ply  24/20* 13/10  eq: 0.172 (0.103) 
 Player: Opponent:  56.10% (G:0.00% B:0.00%) 43.90% (G:25.85% B:3.16%)  

4.  3ply  24/20* 6/3  eq: 0.211 (0.142) 
 Player: Opponent:  55.98% (G:0.00% B:0.00%) 44.02% (G:27.79% B:3.58%)  

5.  2ply  24/20* 8/5  eq: 0.425 (0.356) 
 Player: Opponent:  50.09% (G:0.00% B:0.00%) 49.91% (G:31.80% B:3.35%)  



65: Cannot Move 


1.  3ply  Cannot Move  eq: 0.063 
 Player: Opponent:  37.93% (G:23.21% B:1.80%) 62.07% (G:0.00% B:0.00%)  



53: 19/11 


1.  Rollout^{1}  20/12  eq: +0.326 
 Player: Opponent:  63.81% (G:0.00% B:0.00%) 36.19% (G:20.77% B:2.06%)  Conf.: ± 0.016 (+0.310...+0.342)  [74.3%] Duration: 11 minutes 10 seconds 

2.  Rollout^{1}  19/11  eq: +0.318 (0.008) 
 Player: Opponent:  63.76% (G:0.00% B:0.00%) 36.24% (G:21.25% B:1.99%)  Conf.: ± 0.018 (+0.300...+0.336)  [25.7%] Duration: 10 minutes 51 seconds 

3.  XG Roller++  20/15 19/16  eq: +0.136 (0.190) 
 Player: Opponent:  61.79% (G:0.00% B:0.00%) 38.21% (G:21.76% B:1.95%)  

4.  XG Roller++  20/17 19/14  eq: +0.135 (0.190) 
 Player: Opponent:  61.52% (G:0.00% B:0.00%) 38.48% (G:21.52% B:1.90%)  

5.  XG Roller++  20/15 13/10  eq: +0.119 (0.206) 
 Player: Opponent:  61.25% (G:0.00% B:0.00%) 38.75% (G:22.22% B:2.43%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



54: Bar/16 


1.  3ply  Bar/16  eq: +0.148 
 Player: Opponent:  43.14% (G:25.22% B:2.33%) 56.86% (G:0.00% B:0.00%)  



64: 20/14 13/9* 


1.  XG Roller++  20/14 13/9*  eq: +0.194 
 Player: Opponent:  62.04% (G:0.00% B:0.00%) 37.96% (G:20.40% B:2.18%)  

2.  XG Roller++  16/10 13/9*  eq: +0.164 (0.030) 
 Player: Opponent:  61.75% (G:0.00% B:0.00%) 38.25% (G:21.21% B:2.36%)  

3.  3ply  13/9* 11/5  eq: 0.078 (0.272) 
 Player: Opponent:  57.21% (G:0.00% B:0.00%) 42.79% (G:22.80% B:2.33%)  

4.  2ply  13/7 13/9*  eq: 0.116 (0.310) 
 Player: Opponent:  57.16% (G:0.00% B:0.00%) 42.84% (G:24.59% B:2.83%)  

5.  2ply  24/18 13/9*  eq: 0.223 (0.417) 
 Player: Opponent:  55.14% (G:0.00% B:0.00%) 44.86% (G:29.97% B:1.68%)  



31: Bar/21 


1.  3ply  Bar/21  eq: 0.051 
 Player: Opponent:  39.53% (G:21.71% B:2.39%) 60.47% (G:0.00% B:0.00%)  

2.  3ply  Bar/22 3/2  eq: 0.233 (0.181) 
 Player: Opponent:  35.65% (G:17.41% B:1.38%) 64.35% (G:0.00% B:0.00%)  

3.  1ply  Bar/22 4/3  eq: 0.498 (0.447) 
 Player: Opponent:  27.53% (G:14.29% B:1.29%) 72.47% (G:0.00% B:0.00%)  



64: 14/4* 


1.  Rollout^{1}  13/9 11/5  eq: +0.148 
 Player: Opponent:  57.12% (G:0.00% B:0.00%) 42.88% (G:21.51% B:2.00%)  Conf.: ± 0.013 (+0.135...+0.161)  [100.0%] Duration: 7 minutes 01 second 

2.  Rollout^{1}  14/4*  eq: +0.108 (0.041) 
 Player: Opponent:  58.39% (G:0.00% B:0.00%) 41.61% (G:25.43% B:3.56%)  Conf.: ± 0.016 (+0.091...+0.124)  [0.0%] Duration: 7 minutes 35 seconds 

3.  XG Roller++  13/7 11/7  eq: +0.016 (0.132) 
 Player: Opponent:  56.69% (G:0.00% B:0.00%) 43.31% (G:26.04% B:3.10%)  

4.  4ply  14/8 13/9  eq: 0.093 (0.241) 
 Player: Opponent:  54.34% (G:0.00% B:0.00%) 45.66% (G:24.64% B:2.15%)  

5.  3ply  16/10 13/9  eq: 0.248 (0.396) 
 Player: Opponent:  51.00% (G:0.00% B:0.00%) 49.00% (G:28.96% B:3.59%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
43.57% (G:26.02% B:3.86%) 
43.57% (G:26.02% B:3.85%) 
Opponent Winning Chances: 
56.43% (G:0.00% B:0.00%) 
56.43% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.170 
+0.295 
Cubeful Equities 
No double:  +0.104  
Double/Take:  0.086 (0.190)  
Double/Pass:  +1.000 (+0.896) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.9% 


61: Bar/18 


1.  3ply  Bar/18  eq: 0.206 
 Player: Opponent:  36.38% (G:17.47% B:1.79%) 63.62% (G:0.00% B:0.00%)  



61: 13/7* 8/7 


1.  XG Roller++  13/7* 8/7  eq: 0.085 
 Player: Opponent:  55.92% (G:0.00% B:0.00%) 44.08% (G:27.45% B:4.07%)  

2.  XG Roller++  13/7* 6/5  eq: 0.090 (0.004) 
 Player: Opponent:  55.91% (G:0.00% B:0.00%) 44.09% (G:28.22% B:4.33%)  

3.  XG Roller++  13/7* 9/8  eq: 0.132 (0.046) 
 Player: Opponent:  54.54% (G:0.00% B:0.00%) 45.46% (G:26.71% B:3.24%)  

4.  XG Roller++  16/15 13/7*  eq: 0.132 (0.047) 
 Player: Opponent:  54.55% (G:0.00% B:0.00%) 45.45% (G:28.90% B:4.46%)  

5.  3ply  13/7* 11/10  eq: 0.266 (0.180) 
 Player: Opponent:  53.15% (G:0.00% B:0.00%) 46.85% (G:30.05% B:4.92%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
44.53% (G:27.77% B:4.19%) 
44.55% (G:27.77% B:4.18%) 
Opponent Winning Chances: 
55.47% (G:0.00% B:0.00%) 
55.45% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.210 
+0.382 
Cubeful Equities 
No double:  +0.138  
Double/Take:  0.008 (0.146)  
Double/Pass:  +1.000 (+0.862) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.7% 


61: Bar/24 


1.  3ply  Bar/24  eq: 0.629 
 Player: Opponent:  26.99% (G:10.26% B:0.86%) 73.01% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
74.03% (G:0.00% B:0.00%) 
74.83% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.97% (G:10.23% B:0.84%) 
25.17% (G:9.96% B:0.83%) 
Cubeless Equities 
+0.370 
+0.904 
Cubeful Equities 
No double:  +0.714  
Double/Take:  +0.699 (0.015)  
Double/Pass:  +1.000 (+0.286) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.8% 


42: 16/12 6/4 


1.  3ply  16/12 6/4  eq: +0.744 
 Player: Opponent:  75.57% (G:0.00% B:0.00%) 24.43% (G:10.40% B:1.07%)  

2.  2ply  11/7 6/4  eq: +0.551 (0.193) 
 Player: Opponent:  70.76% (G:0.00% B:0.00%) 29.24% (G:12.78% B:1.11%)  

3.  2ply  24/20 6/4  eq: +0.548 (0.195) 
 Player: Opponent:  72.05% (G:0.00% B:0.00%) 27.95% (G:14.77% B:0.59%)  

4.  2ply  11/9 8/4  eq: +0.532 (0.212) 
 Player: Opponent:  70.12% (G:0.00% B:0.00%) 29.88% (G:9.36% B:0.51%)  

5.  2ply  8/4 6/4  eq: +0.522 (0.222) 
 Player: Opponent:  70.17% (G:0.00% B:0.00%) 29.83% (G:10.68% B:0.90%)  



65: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  18.00% (G:5.03% B:0.25%) 82.00% (G:0.00% B:0.00%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
82.26% (G:0.00% B:0.00%) 
85.35% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
17.74% (G:4.97% B:0.27%) 
14.65% (G:4.57% B:0.19%) 
Cubeless Equities 
+0.593 
+1.479 
Cubeful Equities 
No double:  +0.944 (0.056)  ±0.007 (+0.937..+0.950) 
Double/Take:  +1.397 (+0.397)  ±0.012 (+1.385..+1.409) 
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: 4 minutes 13 seconds 


32: 11/8 6/4 


1.  XG Roller++  11/8 9/7  eq: +0.929 
 Player: Opponent:  79.44% (G:0.00% B:0.00%) 20.56% (G:5.78% B:0.26%)  

2.  XG Roller++  12/10 11/8  eq: +0.928 (0.001) 
 Player: Opponent:  83.03% (G:0.00% B:0.00%) 16.97% (G:5.21% B:0.35%)  

3.  XG Roller++  11/8 6/4  eq: +0.924 (0.004) 
 Player: Opponent:  82.36% (G:0.00% B:0.00%) 17.64% (G:5.56% B:0.41%)  

4.  4ply  12/9 6/4  eq: +0.848 (0.081) 
 Player: Opponent:  78.15% (G:0.00% B:0.00%) 21.85% (G:7.46% B:0.47%)  

5.  3ply  12/9 11/9  eq: +0.800 (0.128) 
 Player: Opponent:  76.45% (G:0.00% B:0.00%) 23.55% (G:8.18% B:0.48%)  



43: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  15.46% (G:3.68% B:0.16%) 84.54% (G:0.00% B:0.00%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
84.78% (G:0.00% B:0.00%) 
87.90% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
15.22% (G:3.16% B:0.14%) 
12.10% (G:2.68% B:0.10%) 
Cubeless Equities 
+0.663 
+1.630 
Cubeful Equities 
No double:  +0.962 (0.038)  ±0.003 (+0.959..+0.965) 
Double/Take:  +1.549 (+0.549)  ±0.010 (+1.539..+1.559) 
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: 3 minutes 03 seconds 


54: 24/20 24/19 


1.  XG Roller++  24/20 24/19  eq: +0.933 
 Player: Opponent:  85.01% (G:0.00% B:0.00%) 14.99% (G:3.95% B:0.06%)  

2.  XG Roller++  24/19 9/5  eq: +0.928 (0.005) 
 Player: Opponent:  80.30% (G:0.00% B:0.00%) 19.70% (G:4.24% B:0.07%)  

3.  XG Roller++  12/7 9/5  eq: +0.925 (0.008) 
 Player: Opponent:  79.31% (G:0.00% B:0.00%) 20.69% (G:4.25% B:0.14%)  

4.  4ply  24/15  eq: +0.872 (0.061) 
 Player: Opponent:  82.38% (G:0.00% B:0.00%) 17.62% (G:5.44% B:0.14%)  

5.  3ply  24/20 12/7  eq: +0.847 (0.086) 
 Player: Opponent:  79.55% (G:0.00% B:0.00%) 20.45% (G:5.76% B:0.08%)  



53: 4/1 


1.  3ply  4/1  eq: 1.000 
 Player: Opponent:  11.80% (G:1.73% B:0.03%) 88.20% (G:0.00% B:0.00%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
88.63% (G:0.00% B:0.00%) 
90.36% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
11.37% (G:1.18% B:0.01%) 
9.64% (G:0.44% B:0.00%) 
Cubeless Equities 
+0.761 
+1.786 
Cubeful Equities 
No double:  +1.000  
Double/Take:  +1.704 (+0.704)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



