53: 8/3 6/3 


1.  Book^{1}  8/3 6/3  eq: +0.089 
 Player: Opponent:  51.62% (G:16.58% B:0.93%) 48.38% (G:13.76% B:0.76%)  Conf.: ± 0.007 (+0.082...+0.095)  [100.0%] 

2.  Book^{1}  24/21 13/8  eq: +0.029 (0.060) 
 Player: Opponent:  50.68% (G:14.35% B:0.88%) 49.32% (G:13.93% B:0.60%)  Conf.: ± 0.007 (+0.022...+0.036)  [0.0%] 

3.  Book^{1}  13/10 13/8  eq: 0.003 (0.092) 
 Player: Opponent:  49.54% (G:15.43% B:0.90%) 50.46% (G:14.41% B:0.81%)  Conf.: ± 0.007 (0.011...+0.004)  [0.0%] 

4.  Book^{2}  24/16  eq: 0.015 (0.104) 
 Player: Opponent:  50.25% (G:12.22% B:0.66%) 49.75% (G:14.04% B:0.61%)  Conf.: ± 0.002 (0.018...0.013)  [0.0%] 

5.  Book^{2}  13/5  eq: 0.022 (0.111) 
 Player: Opponent:  49.23% (G:14.60% B:0.83%) 50.77% (G:14.38% B:0.87%)  Conf.: ± 0.003 (0.025...0.020)  [0.0%] 


^{1} Generated by GameSite 2000, Ltd on 26/02/2011 using eXtreme Gammon 2.00 10368 Games rolled with Variance Reduction. Dice Seed: 38613390 Moves: 2ply, cube decisions: 3ply Red
^{2} Generated by Steven Carey on 02/08/2012 using eXtreme Gammon 2.00 46656 Games rolled with Variance Reduction. Dice Seed: 56506139 Moves: 3ply, cube decisions: XG Roller



21: 24/23 13/11 


1.  XG Roller++  24/23 13/11  eq: 0.202 
 Player: Opponent:  45.84% (G:11.62% B:0.48%) 54.16% (G:17.10% B:0.76%)  

2.  XG Roller++  13/11 6/5  eq: 0.213 (0.011) 
 Player: Opponent:  46.23% (G:11.93% B:0.47%) 53.77% (G:18.18% B:1.46%)  

3.  XG Roller++  24/21  eq: 0.241 (0.039) 
 Player: Opponent:  45.15% (G:10.64% B:0.46%) 54.85% (G:16.97% B:0.66%)  

4.  XG Roller++  13/10  eq: 0.249 (0.047) 
 Player: Opponent:  44.71% (G:11.82% B:0.49%) 55.29% (G:17.63% B:1.04%)  

5.  3ply  24/23 6/4  eq: 0.323 (0.121) 
 Player: Opponent:  43.60% (G:10.56% B:0.45%) 56.40% (G:20.28% B:1.05%)  



54: 13/9 13/8 


1.  Rollout^{1}  24/20 13/8  eq: +0.131 
 Player: Opponent:  52.68% (G:16.40% B:1.11%) 47.32% (G:13.47% B:0.50%)  Conf.: ± 0.014 (+0.118...+0.145)  [100.0%] Duration: 14 minutes 21 seconds 

2.  Rollout^{1}  13/9 13/8  eq: +0.088 (0.043) 
 Player: Opponent:  51.24% (G:17.41% B:0.87%) 48.76% (G:13.48% B:0.86%)  Conf.: ± 0.015 (+0.072...+0.103)  [0.0%] Duration: 14 minutes 03 seconds 

3.  XG Roller++  24/15  eq: +0.101 (0.030) 
 Player: Opponent:  52.50% (G:14.53% B:0.67%) 47.50% (G:13.05% B:0.47%)  

4.  4ply  13/8 6/2*  eq: +0.060 (0.071) 
 Player: Opponent:  50.68% (G:15.88% B:0.78%) 49.32% (G:13.01% B:0.69%)  

5.  3ply  24/20 6/1*  eq: +0.038 (0.094) 
 Player: Opponent:  50.55% (G:14.96% B:0.62%) 49.45% (G:12.88% B:0.59%)  


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



51: 13/8 11/10 


1.  Rollout^{1}  24/23 13/8  eq: 0.357 
 Player: Opponent:  41.62% (G:11.57% B:0.50%) 58.38% (G:17.31% B:1.17%)  Conf.: ± 0.014 (0.371...0.343)  [100.0%] Duration: 13 minutes 37 seconds 

2.  Rollout^{1}  13/8 11/10  eq: 0.444 (0.087) 
 Player: Opponent:  41.38% (G:11.18% B:0.71%) 58.62% (G:23.89% B:1.29%)  Conf.: ± 0.015 (0.459...0.429)  [0.0%] Duration: 12 minutes 38 seconds 

3.  XG Roller++  13/8 6/5  eq: 0.370 (0.014) 
 Player: Opponent:  43.73% (G:11.41% B:0.60%) 56.27% (G:24.33% B:1.81%)  

4.  3ply  11/5  eq: 0.429 (0.072) 
 Player: Opponent:  41.66% (G:10.54% B:0.52%) 58.34% (G:23.53% B:1.35%)  

5.  3ply  24/23 11/6  eq: 0.453 (0.096) 
 Player: Opponent:  38.63% (G:9.43% B:0.38%) 61.37% (G:16.67% B:0.81%)  


^{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: 
58.71% (G:22.64% B:1.10%) 
58.61% (G:22.81% B:1.10%) 
Opponent Winning Chances: 
41.29% (G:10.48% B:0.51%) 
41.39% (G:10.51% B:0.51%) 
Cubeless Equities 
+0.303 
+0.647 
Cubeful Equities 
No double:  +0.427  
Double/Take:  +0.321 (0.106)  
Double/Pass:  +1.000 (+0.573) 

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


64: 8/2* 6/2 


1.  3ply  8/2* 6/2  eq: +0.580 
 Player: Opponent:  61.17% (G:26.62% B:1.49%) 38.83% (G:9.14% B:0.49%)  

2.  2ply  24/18 13/9  eq: +0.291 (0.289) 
 Player: Opponent:  57.26% (G:16.52% B:0.80%) 42.74% (G:10.94% B:0.42%)  

3.  1ply  13/9 8/2*  eq: +0.220 (0.360) 
 Player: Opponent:  53.92% (G:20.40% B:1.09%) 46.08% (G:12.12% B:0.71%)  

4.  1ply  24/14  eq: +0.210 (0.370) 
 Player: Opponent:  55.08% (G:16.28% B:0.76%) 44.92% (G:11.75% B:0.59%)  

5.  1ply  24/20 8/2*  eq: +0.179 (0.401) 
 Player: Opponent:  53.25% (G:19.25% B:1.15%) 46.75% (G:12.72% B:0.81%)  



53: Bar/20 13/10 


1.  3ply  Bar/20 13/10  eq: 0.495 
 Player: Opponent:  40.41% (G:10.72% B:0.66%) 59.59% (G:27.93% B:1.11%)  

2.  1ply  Bar/20 10/7  eq: 0.874 (0.378) 
 Player: Opponent:  35.63% (G:8.99% B:0.45%) 64.37% (G:33.62% B:2.12%)  

3.  1ply  Bar/20 24/21  eq: 0.883 (0.388) 
 Player: Opponent:  35.49% (G:9.15% B:0.53%) 64.51% (G:34.16% B:1.72%)  

4.  1ply  Bar/20 8/5  eq: 0.897 (0.402) 
 Player: Opponent:  36.00% (G:9.41% B:0.53%) 64.00% (G:35.27% B:3.11%)  

5.  1ply  Bar/20 6/3  eq: 0.993 (0.498) 
 Player: Opponent:  34.84% (G:8.90% B:0.49%) 65.16% (G:36.63% B:3.04%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.94% (G:27.65% B:1.21%) 
60.05% (G:28.16% B:1.24%) 
Opponent Winning Chances: 
40.06% (G:10.28% B:0.66%) 
39.95% (G:10.35% B:0.67%) 
Cubeless Equities 
+0.379 
+0.836 
Cubeful Equities 
No double:  +0.512 (0.008)  
Double/Take:  +0.521  
Double/Pass:  +1.000 (+0.479) 

Best Cube action: Double / Take 


42: 13/11 9/5* 


1.  XG Roller++  13/11 9/5*  eq: +0.439 
 Player: Opponent:  57.96% (G:26.89% B:1.28%) 42.04% (G:11.34% B:0.78%)  

2.  XG Roller++  24/22 9/5*  eq: +0.419 (0.020) 
 Player: Opponent:  57.65% (G:24.39% B:1.11%) 42.35% (G:10.79% B:0.55%)  

3.  3ply  9/5* 5/3  eq: +0.340 (0.099) 
 Player: Opponent:  55.69% (G:23.27% B:1.03%) 44.31% (G:10.86% B:0.56%)  

4.  3ply  9/5* 8/6  eq: +0.321 (0.118) 
 Player: Opponent:  55.38% (G:24.48% B:1.08%) 44.62% (G:11.69% B:0.77%)  

5.  2ply  24/22 13/9  eq: +0.196 (0.243) 
 Player: Opponent:  53.86% (G:17.71% B:0.49%) 46.14% (G:10.94% B:0.44%)  



43: Bar/21 24/21 


1.  3ply  Bar/21 24/21  eq: 0.124 
 Player: Opponent:  46.88% (G:10.48% B:0.45%) 53.12% (G:12.92% B:0.42%)  

2.  1ply  Bar/21 8/5  eq: 0.882 (0.758) 
 Player: Opponent:  36.21% (G:9.47% B:0.59%) 63.79% (G:35.89% B:2.21%)  

3.  1ply  Bar/21 6/3  eq: 0.909 (0.785) 
 Player: Opponent:  35.89% (G:9.28% B:0.57%) 64.11% (G:36.41% B:1.97%)  

4.  1ply  Bar/21 13/10  eq: 0.984 (0.860) 
 Player: Opponent:  33.89% (G:8.95% B:0.61%) 66.11% (G:34.42% B:2.21%)  

5.  1ply  Bar/18  eq: 1.000 (0.876) 
 Player: Opponent:  34.46% (G:8.47% B:0.51%) 65.54% (G:37.46% B:0.97%)  



43: 24/20 11/8 


1.  Rollout^{1}  24/20 8/5  eq: +0.068 
 Player: Opponent:  51.49% (G:16.27% B:0.50%) 48.51% (G:12.61% B:0.72%)  Conf.: ± 0.013 (+0.054...+0.081)  [100.0%] Duration: 9 minutes 53 seconds 

2.  Rollout^{1}  24/20 11/8  eq: 0.086 (0.154) 
 Player: Opponent:  48.71% (G:13.00% B:0.43%) 51.29% (G:14.93% B:0.69%)  Conf.: ± 0.012 (0.098...0.074)  [0.0%] Duration: 9 minutes 59 seconds 

3.  3ply  11/7 8/5  eq: 0.034 (0.101) 
 Player: Opponent:  48.88% (G:12.99% B:0.30%) 51.12% (G:12.12% B:0.66%)  

4.  2ply  8/5 6/2  eq: 0.148 (0.216) 
 Player: Opponent:  45.46% (G:13.39% B:0.40%) 54.54% (G:13.94% B:0.69%)  

5.  2ply  24/21 24/20  eq: 0.175 (0.243) 
 Player: Opponent:  45.86% (G:13.31% B:0.55%) 54.14% (G:17.03% B:1.08%)  


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



32: 8/6 8/5* 


1.  Rollout^{1}  8/5* 5/3  eq: 0.179 
 Player: Opponent:  45.67% (G:12.27% B:0.54%) 54.33% (G:16.26% B:0.57%)  Conf.: ± 0.014 (0.193...0.165)  [100.0%] Duration: 11 minutes 02 seconds 

2.  Rollout^{1}  8/6 8/5*  eq: 0.305 (0.126) 
 Player: Opponent:  42.85% (G:11.45% B:0.54%) 57.15% (G:17.30% B:0.64%)  Conf.: ± 0.014 (0.320...0.291)  [0.0%] Duration: 10 minutes 48 seconds 

3.  4ply  6/1*  eq: 0.258 (0.079) 
 Player: Opponent:  43.49% (G:9.03% B:0.31%) 56.51% (G:13.73% B:0.35%)  

4.  4ply  8/5* 6/4  eq: 0.265 (0.086) 
 Player: Opponent:  45.43% (G:11.33% B:0.53%) 54.57% (G:21.40% B:0.61%)  

5.  3ply  8/3  eq: 0.306 (0.127) 
 Player: Opponent:  42.82% (G:8.71% B:0.35%) 57.18% (G:14.84% B:0.42%)  


^{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: 
57.11% (G:17.21% B:0.45%) 
57.11% (G:17.20% B:0.45%) 
Opponent Winning Chances: 
42.89% (G:10.73% B:0.50%) 
42.89% (G:10.72% B:0.50%) 
Cubeless Equities 
+0.206 
+0.437 
Cubeful Equities 
No double:  +0.310  
Double/Take:  +0.117 (0.193)  
Double/Pass:  +1.000 (+0.690) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.9% 


62: Bar/23 24/18 


1.  3ply  Bar/23 24/18  eq: 0.119 
 Player: Opponent:  48.13% (G:12.87% B:0.41%) 51.87% (G:16.92% B:0.78%)  

2.  3ply  Bar/23 8/2  eq: 0.217 (0.098) 
 Player: Opponent:  45.24% (G:13.45% B:0.34%) 54.76% (G:18.04% B:0.98%)  

3.  2ply  Bar/23 13/7  eq: 0.314 (0.196) 
 Player: Opponent:  42.62% (G:13.03% B:0.50%) 57.38% (G:19.86% B:1.43%)  



52: 10/8 10/5 


1.  3ply  10/8 10/5  eq: 0.024 
 Player: Opponent:  48.56% (G:11.70% B:0.39%) 51.44% (G:10.16% B:0.28%)  

2.  2ply  10/5 6/4  eq: 0.258 (0.234) 
 Player: Opponent:  43.86% (G:10.95% B:0.52%) 56.14% (G:17.00% B:0.52%)  

3.  1ply  8/3 5/3  eq: 0.415 (0.391) 
 Player: Opponent:  38.62% (G:8.90% B:0.34%) 61.38% (G:14.76% B:0.41%)  

4.  1ply  6/1 5/3  eq: 0.465 (0.441) 
 Player: Opponent:  37.56% (G:7.59% B:0.30%) 62.44% (G:14.98% B:0.51%)  

5.  1ply  13/11 13/8  eq: 0.518 (0.494) 
 Player: Opponent:  36.40% (G:7.21% B:0.36%) 63.60% (G:16.14% B:0.56%)  



43: 18/14 8/5 


1.  3ply  18/14 8/5  eq: +0.094 
 Player: Opponent:  53.61% (G:9.62% B:0.22%) 46.39% (G:10.20% B:0.32%)  

2.  2ply  8/5 6/2  eq: 0.064 (0.159) 
 Player: Opponent:  49.09% (G:11.38% B:0.34%) 50.91% (G:14.46% B:0.50%)  

3.  2ply  18/11  eq: 0.128 (0.222) 
 Player: Opponent:  47.41% (G:11.97% B:0.36%) 52.59% (G:15.80% B:0.70%)  

4.  1ply  18/14 5/2  eq: 0.253 (0.347) 
 Player: Opponent:  44.74% (G:8.75% B:0.16%) 55.26% (G:16.41% B:0.68%)  

5.  1ply  13/9 8/5  eq: 0.260 (0.355) 
 Player: Opponent:  44.26% (G:11.16% B:0.24%) 55.74% (G:17.68% B:1.17%)  



63: 13/10 13/7 


1.  Rollout^{1}  8/2* 6/3  eq: 0.579 
 Player: Opponent:  34.71% (G:7.70% B:0.31%) 65.29% (G:17.29% B:0.59%)  Conf.: ± 0.015 (0.594...0.565)  [100.0%] Duration: 8 minutes 16 seconds 

2.  Rollout^{1}  13/10 13/7  eq: 0.654 (0.075) 
 Player: Opponent:  32.36% (G:4.92% B:0.18%) 67.64% (G:13.24% B:0.27%)  Conf.: ± 0.012 (0.667...0.642)  [0.0%] Duration: 6 minutes 56 seconds 

3.  XG Roller++  8/5 8/2*  eq: 0.643 (0.063) 
 Player: Opponent:  33.58% (G:6.76% B:0.15%) 66.42% (G:16.67% B:0.40%)  

4.  4ply  8/2* 5/2  eq: 0.657 (0.078) 
 Player: Opponent:  31.82% (G:6.03% B:0.15%) 68.18% (G:13.13% B:0.26%)  

5.  2ply  13/10 8/2*  eq: 0.790 (0.211) 
 Player: Opponent:  32.25% (G:6.55% B:0.25%) 67.75% (G:20.08% B:0.72%)  


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



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
67.53% (G:12.55% B:0.25%) 
67.75% (G:13.17% B:0.23%) 
Opponent Winning Chances: 
32.47% (G:4.70% B:0.13%) 
32.25% (G:4.83% B:0.13%) 
Cubeless Equities 
+0.430 
+0.910 
Cubeful Equities 
No double:  +0.599 (0.052)  
Double/Take:  +0.651  
Double/Pass:  +1.000 (+0.349) 

Best Cube action: Double / Take 


31: 23/22 14/11 


1.  3ply  23/22 14/11  eq: +0.185 
 Player: Opponent:  56.85% (G:7.44% B:0.15%) 43.15% (G:8.13% B:0.19%)  

2.  3ply  23/22 6/3  eq: +0.078 (0.107) 
 Player: Opponent:  54.01% (G:7.53% B:0.17%) 45.99% (G:10.48% B:0.32%)  

3.  3ply  14/11 6/5  eq: +0.066 (0.119) 
 Player: Opponent:  53.02% (G:7.97% B:0.17%) 46.98% (G:9.32% B:0.24%)  

4.  2ply  14/13 6/3  eq: +0.036 (0.150) 
 Player: Opponent:  51.84% (G:7.78% B:0.20%) 48.16% (G:9.43% B:0.24%)  

5.  2ply  14/11 13/12  eq: +0.023 (0.162) 
 Player: Opponent:  51.80% (G:8.43% B:0.21%) 48.20% (G:10.75% B:0.56%)  



65: 7/1 6/1 


1.  4ply  7/1 6/1  eq: 0.406 
 Player: Opponent:  36.90% (G:5.08% B:0.07%) 63.10% (G:7.22% B:0.19%)  

2.  4ply  8/2 7/2  eq: 0.451 (0.045) 
 Player: Opponent:  35.60% (G:4.45% B:0.08%) 64.40% (G:7.15% B:0.18%)  

3.  4ply  10/5 7/1  eq: 0.461 (0.056) 
 Player: Opponent:  35.20% (G:2.98% B:0.05%) 64.80% (G:4.93% B:0.07%)  

4.  2ply  10/4 7/2  eq: 0.633 (0.228) 
 Player: Opponent:  30.55% (G:2.98% B:0.09%) 69.45% (G:7.09% B:0.13%)  

5.  2ply  10/5 8/2  eq: 0.665 (0.260) 
 Player: Opponent:  30.04% (G:3.25% B:0.07%) 69.96% (G:7.58% B:0.15%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.10% (G:7.22% B:0.19%) 
63.12% (G:7.07% B:0.18%) 
Opponent Winning Chances: 
36.90% (G:5.08% B:0.07%) 
36.88% (G:4.88% B:0.06%) 
Cubeless Equities 
+0.285 
+0.579 
Cubeful Equities 
No double:  +0.406  
Double/Take:  +0.290 (0.116)  
Double/Pass:  +1.000 (+0.594) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.0% 


43: 22/15* 


1.  3ply  22/15*  eq: +0.976 
 Player: Opponent:  80.18% (G:8.66% B:0.13%) 19.82% (G:1.50% B:0.03%)  

2.  1ply  22/18 11/8  eq: +0.278 (0.698) 
 Player: Opponent:  58.95% (G:7.25% B:0.15%) 41.05% (G:6.29% B:0.05%)  

3.  1ply  22/18 6/3  eq: +0.109 (0.867) 
 Player: Opponent:  54.71% (G:8.09% B:0.16%) 45.29% (G:11.01% B:0.21%)  

4.  1ply  11/8 6/2  eq: +0.081 (0.895) 
 Player: Opponent:  53.23% (G:8.33% B:0.18%) 46.77% (G:9.85% B:0.09%)  

5.  1ply  13/6  eq: 0.063 (1.039) 
 Player: Opponent:  49.30% (G:9.75% B:0.19%) 50.70% (G:13.21% B:0.44%)  



64: Bar/21 8/2 


1.  3ply  Bar/21 8/2  eq: 0.888 
 Player: Opponent:  24.69% (G:1.68% B:0.03%) 75.31% (G:4.83% B:0.13%)  

2.  3ply  Bar/15  eq: 1.000 (0.112) 
 Player: Opponent:  20.10% (G:1.65% B:0.05%) 79.90% (G:9.25% B:0.17%)  



Double/Pass 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
75.57% (G:4.70% B:0.16%) 
75.94% (G:4.53% B:0.16%) 
Opponent Winning Chances: 
24.43% (G:1.69% B:0.03%) 
24.06% (G:1.65% B:0.00%) 
Cubeless Equities 
+0.543 
+1.109 
Cubeful Equities 
No double:  +0.887 (0.048)  ±0.007 (+0.880..+0.894) 
Double/Take:  +0.934  ±0.009 (+0.926..+0.943) 
Double/Pass:  +1.000 (+0.066) 

Best Cube action: Double / 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: 7 minutes 32 seconds 


Wins 1pt. 



