65: 24/13 


1.  Book^{1}  24/13  eq: +0.093 
 Player: Opponent:  52.82% (G:11.57% B:0.47%) 47.18% (G:11.71% B:0.35%)  

2.  Book^{1}  24/18 13/8  eq: +0.028 (0.065) 
 Player: Opponent:  50.90% (G:12.70% B:0.57%) 49.10% (G:12.78% B:0.44%)  

3.  Book^{1}  13/8 13/7  eq: 0.057 (0.150) 
 Player: Opponent:  48.28% (G:13.70% B:0.69%) 51.72% (G:13.93% B:0.69%)  

4.  2ply  13/2  eq: 0.132 (0.225) 
 Player: Opponent:  46.57% (G:13.12% B:0.63%) 53.43% (G:15.21% B:0.87%)  

5.  2ply  24/18 8/3  eq: 0.177 (0.270) 
 Player: Opponent:  46.32% (G:11.52% B:0.52%) 53.68% (G:16.66% B:0.77%)  


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



32: 24/22 13/10 


1.  XG Roller++  24/21 13/11  eq: 0.179 
 Player: Opponent:  45.17% (G:11.01% B:0.33%) 54.83% (G:12.74% B:0.50%)  

2.  XG Roller++  24/22 13/10  eq: 0.213 (0.034) 
 Player: Opponent:  44.15% (G:10.80% B:0.31%) 55.85% (G:13.01% B:0.50%)  

3.  5ply  13/11 13/10  eq: 0.195 (0.016) 
 Player: Opponent:  44.65% (G:11.86% B:0.40%) 55.35% (G:13.74% B:0.71%)  

4.  5ply  13/11 8/5  eq: 0.222 (0.043) 
 Player: Opponent:  44.20% (G:11.69% B:0.36%) 55.80% (G:14.22% B:0.80%)  

5.  4ply  13/10 6/4  eq: 0.237 (0.058) 
 Player: Opponent:  43.88% (G:11.06% B:0.37%) 56.12% (G:14.68% B:0.94%)  



41: 13/8 


1.  3ply  13/8  eq: +0.013 
 Player: Opponent:  51.26% (G:10.39% B:0.32%) 48.74% (G:12.25% B:0.32%)  

2.  3ply  6/1*  eq: 0.081 (0.094) 
 Player: Opponent:  48.60% (G:10.69% B:0.34%) 51.40% (G:13.59% B:0.49%)  

3.  3ply  8/3*  eq: 0.083 (0.096) 
 Player: Opponent:  48.32% (G:11.81% B:0.53%) 51.68% (G:14.22% B:0.58%)  

4.  3ply  24/23 13/9  eq: 0.092 (0.106) 
 Player: Opponent:  48.01% (G:11.30% B:0.43%) 51.99% (G:13.60% B:0.48%)  

5.  2ply  24/23 6/2  eq: 0.179 (0.192) 
 Player: Opponent:  46.46% (G:9.99% B:0.32%) 53.54% (G:15.65% B:0.51%)  



43: 24/20 13/10 


1.  XG Roller++  24/20 13/10  eq: 0.151 
 Player: Opponent:  46.12% (G:10.06% B:0.33%) 53.88% (G:12.49% B:0.40%)  

2.  XG Roller++  22/18 13/10  eq: 0.158 (0.007) 
 Player: Opponent:  46.33% (G:10.05% B:0.33%) 53.67% (G:13.06% B:0.44%)  

3.  5ply  13/10 13/9  eq: 0.147 (+0.004) 
 Player: Opponent:  46.04% (G:12.34% B:0.46%) 53.96% (G:13.98% B:0.55%)  

4.  5ply  13/10 8/4  eq: 0.194 (0.042) 
 Player: Opponent:  44.89% (G:11.93% B:0.38%) 55.11% (G:14.52% B:0.60%)  

5.  3ply  13/10 6/2  eq: 0.217 (0.066) 
 Player: Opponent:  44.37% (G:11.11% B:0.41%) 55.63% (G:14.70% B:0.57%)  



66: 24/18 13/7(3) 


1.  XG Roller++  13/7(2) 8/2(2)  eq: +0.361 
 Player: Opponent:  57.95% (G:16.81% B:0.35%) 42.05% (G:8.00% B:0.30%)  

2.  XG Roller++  24/18 13/7(3)  eq: +0.307 (0.054) 
 Player: Opponent:  57.49% (G:13.58% B:0.55%) 42.51% (G:8.45% B:0.29%)  

3.  5ply  13/7(3) 8/2  eq: +0.310 (0.051) 
 Player: Opponent:  57.16% (G:14.76% B:0.34%) 42.84% (G:7.83% B:0.24%)  

4.  3ply  24/18 13/7(2) 8/2  eq: +0.240 (0.121) 
 Player: Opponent:  56.16% (G:13.24% B:0.45%) 43.84% (G:8.95% B:0.27%)  

5.  3ply  13/7(2) 13/1  eq: +0.236 (0.125) 
 Player: Opponent:  55.58% (G:14.12% B:0.26%) 44.42% (G:8.46% B:0.26%)  



55: 20/5 13/8 


1.  XG Roller++  10/5(2) 6/1(2)  eq: 0.513 
 Player: Opponent:  35.21% (G:6.44% B:0.08%) 64.79% (G:10.10% B:0.28%)  

2.  XG Roller++  20/5 13/8  eq: 0.551 (0.038) 
 Player: Opponent:  34.60% (G:4.27% B:0.12%) 65.40% (G:8.78% B:0.25%)  

3.  5ply  20/15 10/5(2) 8/3  eq: 0.535 (0.022) 
 Player: Opponent:  34.99% (G:5.40% B:0.14%) 65.01% (G:10.61% B:0.32%)  

4.  5ply  20/15 13/3 8/3  eq: 0.539 (0.026) 
 Player: Opponent:  34.97% (G:5.29% B:0.15%) 65.03% (G:11.01% B:0.33%)  

5.  5ply  20/10 6/1(2)  eq: 0.549 (0.036) 
 Player: Opponent:  34.66% (G:4.34% B:0.08%) 65.34% (G:8.79% B:0.16%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
64.81% (G:7.96% B:0.15%) 
64.83% (G:7.86% B:0.14%) 
Opponent Winning Chances: 
35.19% (G:4.08% B:0.11%) 
35.17% (G:4.03% B:0.11%) 
Cubeless Equities 
+0.335 
+0.686 
Cubeful Equities 
No double:  +0.515  
Double/Take:  +0.419 (0.096)  
Double/Pass:  +1.000 (+0.485) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.1% 


31: 8/5 6/5 


1.  3ply  8/5 6/5  eq: +0.313 
 Player: Opponent:  58.67% (G:11.35% B:0.33%) 41.33% (G:7.32% B:0.16%)  

2.  1ply  8/7 6/3*  eq: +0.001 (0.312) 
 Player: Opponent:  50.90% (G:10.02% B:0.35%) 49.10% (G:12.05% B:0.38%)  

3.  1ply  6/3* 3/2  eq: 0.053 (0.366) 
 Player: Opponent:  49.29% (G:9.96% B:0.33%) 50.71% (G:12.47% B:0.33%)  

4.  1ply  7/3*  eq: 0.064 (0.377) 
 Player: Opponent:  49.06% (G:9.74% B:0.32%) 50.94% (G:12.52% B:0.38%)  

5.  1ply  6/2  eq: 0.081 (0.395) 
 Player: Opponent:  48.38% (G:8.38% B:0.28%) 51.62% (G:11.04% B:0.25%)  



21: 8/7* 7/5 


1.  3ply  8/7* 7/5  eq: 0.133 
 Player: Opponent:  47.16% (G:9.98% B:0.29%) 52.84% (G:12.86% B:0.30%)  

2.  1ply  6/5 6/4  eq: 0.709 (0.575) 
 Player: Opponent:  31.34% (G:4.30% B:0.16%) 68.66% (G:12.68% B:0.17%)  

3.  1ply  8/5  eq: 0.731 (0.598) 
 Player: Opponent:  30.70% (G:4.09% B:0.14%) 69.30% (G:12.15% B:0.13%)  

4.  1ply  6/4 5/4  eq: 0.781 (0.648) 
 Player: Opponent:  30.16% (G:3.75% B:0.14%) 69.84% (G:12.91% B:0.14%)  

5.  1ply  8/7* 5/3  eq: 0.910 (0.777) 
 Player: Opponent:  32.10% (G:6.29% B:0.20%) 67.90% (G:24.70% B:1.03%)  



21: Bar/23 6/5 


1.  XG Roller++  Bar/24 7/5  eq: +0.107 
 Player: Opponent:  51.48% (G:13.81% B:0.43%) 48.52% (G:9.01% B:0.26%)  

2.  XG Roller++  Bar/23 6/5  eq: +0.048 (0.059) 
 Player: Opponent:  50.45% (G:12.97% B:0.43%) 49.55% (G:10.09% B:0.29%)  

3.  5ply  Bar/22  eq: +0.054 (0.053) 
 Player: Opponent:  51.26% (G:11.51% B:0.40%) 48.74% (G:9.77% B:0.22%)  

4.  3ply  Bar/24 8/6  eq: 0.012 (0.119) 
 Player: Opponent:  48.91% (G:11.63% B:0.29%) 51.09% (G:9.93% B:0.23%)  

5.  3ply  Bar/23 8/7  eq: 0.064 (0.171) 
 Player: Opponent:  47.99% (G:10.79% B:0.29%) 52.01% (G:10.89% B:0.24%)  



61: 22/16 6/5 


1.  5ply  22/16 6/5  eq: +0.083 
 Player: Opponent:  53.65% (G:7.65% B:0.23%) 46.35% (G:9.10% B:0.25%)  

2.  5ply  22/15  eq: +0.011 (0.072) 
 Player: Opponent:  51.69% (G:6.71% B:0.19%) 48.31% (G:9.03% B:0.24%)  

3.  1ply  22/16 10/9  eq: 0.261 (0.344) 
 Player: Opponent:  44.68% (G:7.23% B:0.20%) 55.32% (G:15.18% B:0.37%)  

4.  1ply  22/16 8/7  eq: 0.272 (0.356) 
 Player: Opponent:  44.79% (G:7.59% B:0.23%) 55.21% (G:16.78% B:0.36%)  

5.  1ply  13/7 8/7  eq: 0.281 (0.365) 
 Player: Opponent:  43.32% (G:10.01% B:0.43%) 56.68% (G:16.40% B:0.49%)  



21: 6/4 5/4 


1.  XG Roller++  23/22 6/4  eq: 0.475 
 Player: Opponent:  36.56% (G:2.90% B:0.08%) 63.44% (G:7.17% B:0.16%)  

2.  XG Roller++  6/4 5/4  eq: 0.532 (0.057) 
 Player: Opponent:  34.65% (G:3.10% B:0.07%) 65.35% (G:6.11% B:0.08%)  

3.  5ply  23/22 8/6  eq: 0.477 (0.002) 
 Player: Opponent:  36.36% (G:2.86% B:0.06%) 63.64% (G:6.72% B:0.10%)  

4.  5ply  23/22 7/5  eq: 0.480 (0.004) 
 Player: Opponent:  36.37% (G:2.78% B:0.06%) 63.63% (G:6.86% B:0.11%)  

5.  5ply  23/22 5/3  eq: 0.487 (0.011) 
 Player: Opponent:  36.24% (G:2.79% B:0.06%) 63.76% (G:7.31% B:0.13%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
65.06% (G:6.74% B:0.08%) 
65.07% (G:6.73% B:0.08%) 
Opponent Winning Chances: 
34.94% (G:3.49% B:0.06%) 
34.93% (G:3.48% B:0.06%) 
Cubeless Equities 
+0.334 
+0.681 
Cubeful Equities 
No double:  +0.519  
Double/Take:  +0.425 (0.094)  
Double/Pass:  +1.000 (+0.481) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.1% 


51: 16/10 


1.  5ply  16/10  eq: +0.517 
 Player: Opponent:  65.55% (G:5.50% B:0.08%) 34.45% (G:2.39% B:0.05%)  

2.  5ply  16/11 6/5  eq: +0.459 (0.058) 
 Player: Opponent:  63.60% (G:5.63% B:0.08%) 36.40% (G:3.63% B:0.08%)  

3.  1ply  16/11 10/9  eq: +0.076 (0.441) 
 Player: Opponent:  53.63% (G:5.56% B:0.09%) 46.37% (G:7.89% B:0.25%)  

4.  1ply  16/11 8/7  eq: 0.038 (0.555) 
 Player: Opponent:  51.17% (G:6.47% B:0.12%) 48.83% (G:12.12% B:0.27%)  

5.  1ply  16/11 5/4  eq: 0.060 (0.578) 
 Player: Opponent:  50.90% (G:5.76% B:0.13%) 49.10% (G:12.52% B:0.32%)  



43: 8/5 7/3 


1.  5ply  8/5 7/3  eq: 0.596 
 Player: Opponent:  32.09% (G:3.22% B:0.04%) 67.91% (G:6.20% B:0.09%)  

2.  5ply  7/4 7/3  eq: 0.617 (0.021) 
 Player: Opponent:  31.61% (G:3.29% B:0.05%) 68.39% (G:6.96% B:0.12%)  

3.  5ply  8/5 8/4  eq: 0.632 (0.036) 
 Player: Opponent:  31.22% (G:3.03% B:0.04%) 68.78% (G:6.76% B:0.10%)  

4.  5ply  8/4 7/4  eq: 0.652 (0.056) 
 Player: Opponent:  30.93% (G:3.11% B:0.05%) 69.07% (G:7.33% B:0.12%)  

5.  4ply  7/3 6/3  eq: 0.686 (0.090) 
 Player: Opponent:  29.87% (G:2.77% B:0.06%) 70.13% (G:7.72% B:0.11%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
67.91% (G:6.20% B:0.09%) 
67.93% (G:6.15% B:0.09%) 
Opponent Winning Chances: 
32.09% (G:3.22% B:0.04%) 
32.07% (G:3.22% B:0.04%) 
Cubeless Equities 
+0.389 
+0.789 
Cubeful Equities 
No double:  +0.596  
Double/Take:  +0.555 (0.041)  
Double/Pass:  +1.000 (+0.404) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.4% 


43: 6/2* 5/2 


1.  3ply  6/2* 5/2  eq: +0.642 
 Player: Opponent:  68.91% (G:6.91% B:0.08%) 31.09% (G:2.53% B:0.05%)  

2.  2ply  8/1  eq: +0.293 (0.349) 
 Player: Opponent:  59.77% (G:3.95% B:0.06%) 40.23% (G:3.57% B:0.04%)  

3.  1ply  10/6 8/5  eq: +0.302 (0.340) 
 Player: Opponent:  59.95% (G:4.30% B:0.06%) 40.05% (G:3.53% B:0.07%)  

4.  1ply  13/10 13/9  eq: +0.261 (0.381) 
 Player: Opponent:  58.76% (G:2.91% B:0.07%) 41.24% (G:2.57% B:0.15%)  

5.  1ply  8/5 6/2*  eq: +0.062 (0.580) 
 Player: Opponent:  53.78% (G:6.53% B:0.13%) 46.22% (G:10.49% B:0.16%)  



42: Bar/21 5/3 


1.  5ply  Bar/21 5/3  eq: 0.641 
 Player: Opponent:  30.92% (G:2.32% B:0.03%) 69.08% (G:6.54% B:0.06%)  

2.  5ply  Bar/21 8/6  eq: 0.670 (0.029) 
 Player: Opponent:  30.36% (G:2.43% B:0.03%) 69.64% (G:6.91% B:0.08%)  

3.  4ply  Bar/21 7/5  eq: 0.725 (0.084) 
 Player: Opponent:  29.75% (G:2.32% B:0.04%) 70.25% (G:8.04% B:0.09%)  

4.  2ply  Bar/21 3/1  eq: 0.777 (0.136) 
 Player: Opponent:  29.27% (G:1.97% B:0.04%) 70.73% (G:9.10% B:0.09%)  

5.  2ply  Bar/21 4/2  eq: 0.920 (0.279) 
 Player: Opponent:  28.69% (G:6.00% B:0.17%) 71.31% (G:17.87% B:0.28%)  



Double/Take 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
69.49% (G:6.48% B:0.07%) 
69.92% (G:6.17% B:0.05%) 
Opponent Winning Chances: 
30.51% (G:2.36% B:0.05%) 
30.08% (G:2.30% B:0.06%) 
Cubeless Equities 
+0.431 
+0.889 
Cubeful Equities 
No double:  +0.670 (0.025)  ±0.012 (+0.658..+0.682) 
Double/Take:  +0.695  ±0.015 (+0.680..+0.710) 
Double/Pass:  +1.000 (+0.305) 

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


Double Decision confidence: 
99.4% 
Take Decision confidence: 
100.0% 
Duration: 4 minutes 20 seconds 


63: 10/1 


1.  5ply  10/1  eq: +0.164 
 Player: Opponent:  63.65% (G:4.87% B:0.04%) 36.35% (G:2.94% B:0.05%)  

2.  5ply  8/2 6/3  eq: +0.126 (0.039) 
 Player: Opponent:  62.55% (G:4.24% B:0.05%) 37.45% (G:3.52% B:0.06%)  

3.  2ply  10/4* 8/5  eq: 0.101 (0.266) 
 Player: Opponent:  53.23% (G:7.52% B:0.10%) 46.77% (G:11.92% B:0.15%)  

4.  2ply  10/4* 4/1  eq: 0.160 (0.325) 
 Player: Opponent:  51.81% (G:5.96% B:0.07%) 48.19% (G:11.61% B:0.15%)  

5.  2ply  13/7 10/7  eq: 0.195 (0.360) 
 Player: Opponent:  48.75% (G:3.53% B:0.07%) 51.25% (G:7.22% B:0.10%)  



61: 8/2 7/6 


1.  5ply  8/2 7/6  eq: 0.219 
 Player: Opponent:  34.47% (G:4.78% B:0.06%) 65.53% (G:6.86% B:0.10%)  

2.  5ply  8/2 3/2  eq: 0.251 (0.032) 
 Player: Opponent:  33.69% (G:4.56% B:0.06%) 66.31% (G:7.85% B:0.09%)  

3.  5ply  8/7 8/2  eq: 0.253 (0.034) 
 Player: Opponent:  33.44% (G:4.28% B:0.07%) 66.56% (G:7.47% B:0.07%)  

4.  5ply  8/1  eq: 0.268 (0.050) 
 Player: Opponent:  32.89% (G:4.30% B:0.06%) 67.11% (G:8.04% B:0.08%)  

5.  4ply  7/6 7/1  eq: 0.293 (0.074) 
 Player: Opponent:  32.04% (G:4.12% B:0.06%) 67.96% (G:8.40% B:0.08%)  



64: 10/4* 8/4 


1.  3ply  10/4* 8/4  eq: +0.177 
 Player: Opponent:  63.18% (G:13.85% B:0.26%) 36.82% (G:11.59% B:0.19%)  

2.  2ply  8/2 6/2  eq: 0.120 (0.297) 
 Player: Opponent:  54.02% (G:2.09% B:0.03%) 45.98% (G:5.18% B:0.05%)  

3.  1ply  13/3  eq: 0.314 (0.492) 
 Player: Opponent:  46.52% (G:6.65% B:0.08%) 53.48% (G:10.98% B:0.28%)  

4.  1ply  10/6 8/2  eq: 0.380 (0.557) 
 Player: Opponent:  45.40% (G:5.28% B:0.04%) 54.60% (G:13.67% B:0.23%)  

5.  1ply  8/2 5/1  eq: 0.398 (0.575) 
 Player: Opponent:  45.04% (G:5.01% B:0.05%) 54.96% (G:14.39% B:0.21%)  



31: Bar/24* 8/5 


1.  XG Roller++  Bar/24* 7/4  eq: +0.387 
 Player: Opponent:  57.09% (G:26.42% B:0.60%) 42.91% (G:18.15% B:1.03%)  

2.  XG Roller++  Bar/24* 8/5  eq: +0.355 (0.031) 
 Player: Opponent:  55.79% (G:25.25% B:0.59%) 44.21% (G:17.07% B:0.89%)  

3.  3ply  Bar/24* 6/3  eq: +0.238 (0.149) 
 Player: Opponent:  53.91% (G:22.99% B:0.48%) 46.09% (G:21.22% B:1.67%)  

4.  2ply  Bar/24* 13/10  eq: +0.207 (0.180) 
 Player: Opponent:  54.96% (G:22.63% B:0.48%) 45.04% (G:24.57% B:4.63%)  

5.  2ply  Bar/24* 5/2  eq: +0.155 (0.232) 
 Player: Opponent:  51.28% (G:21.59% B:0.32%) 48.72% (G:22.26% B:1.99%)  



65: Cannot Move 


1.  5ply  Cannot Move  eq: 1.058 
 Player: Opponent:  24.04% (G:5.37% B:0.27%) 75.96% (G:39.18% B:0.57%)  



Double/Pass 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
75.71% (G:39.11% B:0.59%) 
76.33% (G:38.71% B:0.61%) 
Opponent Winning Chances: 
24.29% (G:5.06% B:0.21%) 
23.67% (G:5.45% B:0.26%) 
Cubeless Equities 
+0.927 
+1.860 
Cubeful Equities 
No redouble:  +1.062  
Redouble/Take:  +1.672 (+0.610)  
Redouble/Pass:  +1.000 (0.062) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 9.3% 


Wins 2pts. 



