21: 13/11 6/5 


1.  Book^{1}  13/11 6/5  eq: +0.120 
 Player: Opponent:  50.33% (G:13.58% B:0.56%) 49.67% (G:14.05% B:0.89%)  

2.  Book^{1}  24/23 13/11  eq: +0.114 (0.006) 
 Player: Opponent:  49.84% (G:13.42% B:0.51%) 50.16% (G:12.99% B:0.53%)  

3.  4ply  24/22 6/5  eq: +0.078 (0.042) 
 Player: Opponent:  48.27% (G:12.01% B:0.47%) 51.73% (G:14.42% B:0.62%)  

4.  Book^{1}  13/10  eq: +0.067 (0.053) 
 Player: Opponent:  48.75% (G:13.36% B:0.53%) 51.25% (G:13.70% B:0.69%)  

5.  Book^{1}  24/21  eq: +0.063 (0.057) 
 Player: Opponent:  48.93% (G:12.03% B:0.48%) 51.07% (G:12.37% B:0.47%)  


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



43: 24/20* 13/10 


1.  XG Roller++  24/21 24/20*  eq: 0.006 
 Player: Opponent:  53.14% (G:15.95% B:1.00%) 46.86% (G:11.32% B:0.40%)  

2.  XG Roller++  24/20* 13/10  eq: 0.019 (0.013) 
 Player: Opponent:  52.71% (G:16.95% B:1.19%) 47.29% (G:11.60% B:0.50%)  

3.  3ply  24/20* 6/3  eq: 0.125 (0.119) 
 Player: Opponent:  50.65% (G:13.75% B:0.90%) 49.35% (G:12.51% B:0.61%)  

4.  2ply  24/20* 8/5  eq: 0.168 (0.163) 
 Player: Opponent:  49.47% (G:13.85% B:0.82%) 50.53% (G:13.12% B:0.72%)  

5.  1ply  24/21 13/9  eq: 0.382 (0.377) 
 Player: Opponent:  44.86% (G:11.80% B:0.72%) 55.14% (G:16.36% B:0.82%)  



54: Bar/20 24/20 


1.  3ply  Bar/20 24/20  eq: +0.016 
 Player: Opponent:  47.05% (G:10.03% B:0.35%) 52.95% (G:12.65% B:0.40%)  

2.  2ply  Bar/21 13/8  eq: 0.200 (0.216) 
 Player: Opponent:  42.04% (G:9.51% B:0.37%) 57.96% (G:18.52% B:1.34%)  

3.  2ply  Bar/21 11/6  eq: 0.224 (0.240) 
 Player: Opponent:  41.17% (G:9.30% B:0.37%) 58.83% (G:17.88% B:1.15%)  

4.  2ply  Bar/16  eq: 0.225 (0.241) 
 Player: Opponent:  41.91% (G:8.77% B:0.33%) 58.09% (G:19.40% B:1.45%)  

5.  2ply  Bar/20 13/9  eq: 0.251 (0.267) 
 Player: Opponent:  41.38% (G:9.60% B:0.47%) 58.62% (G:22.02% B:2.10%)  



55: 20/10 6/1*(2) 


1.  3ply  20/10 6/1*(2)  eq: +0.231 
 Player: Opponent:  59.46% (G:15.10% B:0.30%) 40.54% (G:8.53% B:0.20%)  

2.  2ply  20/10 13/8 6/1*  eq: +0.030 (0.200) 
 Player: Opponent:  54.77% (G:12.90% B:0.34%) 45.23% (G:10.64% B:0.39%)  

3.  2ply  20/10 13/8(2)  eq: 0.010 (0.240) 
 Player: Opponent:  53.59% (G:13.29% B:0.35%) 46.41% (G:11.16% B:0.31%)  

4.  2ply  8/3(2) 6/1*(2)  eq: 0.017 (0.247) 
 Player: Opponent:  51.87% (G:19.72% B:0.45%) 48.13% (G:11.35% B:0.49%)  

5.  2ply  20/10 8/3(2)  eq: 0.021 (0.251) 
 Player: Opponent:  53.17% (G:13.42% B:0.39%) 46.83% (G:11.08% B:0.34%)  



42: Bar/23 13/9 


1.  4ply  Bar/23 13/9  eq: 0.170 
 Player: Opponent:  42.30% (G:9.56% B:0.26%) 57.70% (G:16.51% B:0.36%)  

2.  4ply  Bar/23 11/7  eq: 0.234 (0.064) 
 Player: Opponent:  40.97% (G:8.77% B:0.24%) 59.03% (G:17.75% B:0.35%)  

3.  4ply  Bar/23 8/4  eq: 0.241 (0.071) 
 Player: Opponent:  41.20% (G:9.22% B:0.27%) 58.80% (G:20.44% B:0.49%)  

4.  4ply  Bar/21 13/11  eq: 0.249 (0.079) 
 Player: Opponent:  40.16% (G:8.14% B:0.22%) 59.84% (G:15.14% B:0.27%)  

5.  3ply  Bar/23 6/2  eq: 0.291 (0.121) 
 Player: Opponent:  39.56% (G:8.70% B:0.30%) 60.44% (G:19.53% B:0.41%)  



11: 24/22 10/9(2) 


1.  4ply  24/22 10/9(2)  eq: +0.054 
 Player: Opponent:  55.36% (G:14.10% B:0.30%) 44.64% (G:10.94% B:0.33%)  

2.  4ply  10/9(2) 8/6  eq: 0.010 (0.064) 
 Player: Opponent:  53.60% (G:13.98% B:0.28%) 46.40% (G:11.48% B:0.35%)  

3.  4ply  24/22 8/6  eq: 0.018 (0.072) 
 Player: Opponent:  53.72% (G:14.05% B:0.27%) 46.28% (G:12.17% B:0.37%)  

4.  3ply  24/20  eq: 0.031 (0.086) 
 Player: Opponent:  53.08% (G:14.14% B:0.33%) 46.92% (G:12.00% B:0.29%)  

5.  3ply  24/23 8/7(3)  eq: 0.045 (0.099) 
 Player: Opponent:  52.91% (G:12.89% B:0.24%) 47.09% (G:11.83% B:0.29%)  



31: 13/9 


1.  Rollout^{1}  8/5 6/5  eq: 0.063 
 Player: Opponent:  45.77% (G:11.49% B:0.35%) 54.23% (G:18.85% B:0.54%)  Conf.: ± 0.017 (0.080...0.047)  [100.0%] Duration: 16 minutes 27 seconds 

2.  Rollout^{1}  13/9  eq: 0.109 (0.046) 
 Player: Opponent:  44.39% (G:11.00% B:0.38%) 55.61% (G:18.09% B:0.48%)  Conf.: ± 0.017 (0.126...0.092)  [0.0%] Duration: 15 minutes 26 seconds 

3.  3ply  11/10 6/3*  eq: 0.168 (0.105) 
 Player: Opponent:  43.16% (G:9.99% B:0.40%) 56.84% (G:20.64% B:0.59%)  

4.  3ply  9/8 6/3*  eq: 0.219 (0.156) 
 Player: Opponent:  41.39% (G:9.21% B:0.32%) 58.61% (G:18.63% B:0.46%)  

5.  2ply  8/7 6/3*  eq: 0.244 (0.180) 
 Player: Opponent:  42.12% (G:9.27% B:0.27%) 57.88% (G:23.73% B:0.84%)  


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



52: 22/15 


1.  3ply  22/15  eq: +0.143 
 Player: Opponent:  57.71% (G:13.18% B:0.29%) 42.29% (G:9.48% B:0.25%)  

2.  3ply  22/20 13/8  eq: 0.016 (0.159) 
 Player: Opponent:  53.26% (G:14.15% B:0.31%) 46.74% (G:11.37% B:0.30%)  

3.  3ply  13/6  eq: 0.025 (0.169) 
 Player: Opponent:  52.73% (G:14.79% B:0.30%) 47.27% (G:11.21% B:0.32%)  

4.  2ply  9/4 6/4  eq: 0.096 (0.239) 
 Player: Opponent:  51.05% (G:14.25% B:0.32%) 48.95% (G:11.95% B:0.43%)  

5.  2ply  13/11 13/8  eq: 0.145 (0.288) 
 Player: Opponent:  49.73% (G:14.86% B:0.32%) 50.27% (G:12.78% B:0.43%)  



62: 11/5 9/7 


1.  Rollout^{1}  11/5 6/4  eq: 0.476 
 Player: Opponent:  35.21% (G:7.71% B:0.22%) 64.79% (G:13.55% B:0.36%)  Conf.: ± 0.015 (0.491...0.462)  [100.0%] Duration: 12 minutes 13 seconds 

2.  Rollout^{1}  11/5 9/7  eq: 0.528 (0.052) 
 Player: Opponent:  34.11% (G:7.20% B:0.19%) 65.89% (G:13.68% B:0.40%)  Conf.: ± 0.014 (0.542...0.514)  [0.0%] Duration: 11 minutes 24 seconds 

3.  4ply  11/5 8/6  eq: 0.464 (+0.012) 
 Player: Opponent:  33.17% (G:6.25% B:0.11%) 66.83% (G:11.44% B:0.19%)  

4.  3ply  11/3  eq: 0.475 (+0.001) 
 Player: Opponent:  33.06% (G:6.00% B:0.18%) 66.94% (G:11.90% B:0.22%)  

5.  3ply  9/3 6/4  eq: 0.476 (+0.001) 
 Player: Opponent:  33.85% (G:6.46% B:0.24%) 66.15% (G:15.55% B:0.36%)  


^{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: 
66.24% (G:11.23% B:0.18%) 
66.15% (G:11.45% B:0.20%) 
Opponent Winning Chances: 
33.76% (G:6.18% B:0.10%) 
33.85% (G:6.22% B:0.11%) 
Cubeless Equities 
+0.381 
+0.733 
Cubeful Equities 
No double:  +0.446  
Double/Take:  +0.250 (0.196)  
Double/Pass:  +1.000 (+0.554) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 20.7% 


11: 15/13 8/6 


1.  XG Roller++  15/13 8/6  eq: +0.281 
 Player: Opponent:  62.00% (G:10.50% B:0.29%) 38.00% (G:8.49% B:0.22%)  

2.  XG Roller++  9/7(2)  eq: +0.240 (0.041) 
 Player: Opponent:  60.04% (G:14.52% B:0.59%) 39.96% (G:9.16% B:0.29%)  

3.  3ply  15/13 9/8(2)  eq: +0.191 (0.090) 
 Player: Opponent:  60.09% (G:9.89% B:0.10%) 39.91% (G:9.42% B:0.12%)  

4.  3ply  15/14 8/7(3)  eq: +0.175 (0.106) 
 Player: Opponent:  59.12% (G:12.03% B:0.36%) 40.88% (G:9.40% B:0.21%)  

5.  3ply  8/7(2) 8/6  eq: +0.110 (0.171) 
 Player: Opponent:  57.66% (G:11.23% B:0.21%) 42.34% (G:10.13% B:0.23%)  



43: 8/5 8/4 


1.  XG Roller++  8/4 7/4  eq: 0.316 
 Player: Opponent:  37.22% (G:8.34% B:0.17%) 62.78% (G:11.04% B:0.29%)  

2.  XG Roller++  8/5 8/4  eq: 0.321 (0.006) 
 Player: Opponent:  37.18% (G:8.33% B:0.16%) 62.82% (G:11.04% B:0.35%)  

3.  XG Roller++  9/5 7/4  eq: 0.323 (0.008) 
 Player: Opponent:  36.83% (G:8.04% B:0.15%) 63.17% (G:10.51% B:0.20%)  

4.  XG Roller++  9/5 6/3  eq: 0.325 (0.010) 
 Player: Opponent:  37.00% (G:7.93% B:0.16%) 63.00% (G:10.76% B:0.22%)  

5.  XG Roller++  8/5 7/3  eq: 0.329 (0.013) 
 Player: Opponent:  36.78% (G:8.15% B:0.15%) 63.22% (G:10.60% B:0.23%)  



65: 13/2* 


1.  3ply  13/2*  eq: +0.246 
 Player: Opponent:  61.89% (G:10.23% B:0.18%) 38.11% (G:9.11% B:0.20%)  

2.  3ply  13/8 13/7  eq: +0.117 (0.129) 
 Player: Opponent:  57.83% (G:13.54% B:0.44%) 42.17% (G:10.81% B:0.23%)  

3.  1ply  13/7 6/1  eq: 0.177 (0.423) 
 Player: Opponent:  50.75% (G:10.27% B:0.20%) 49.25% (G:14.58% B:0.27%)  

4.  1ply  8/3 8/2*  eq: 0.195 (0.441) 
 Player: Opponent:  50.66% (G:11.73% B:0.22%) 49.34% (G:16.09% B:0.38%)  

5.  1ply  13/8 9/3  eq: 0.197 (0.443) 
 Player: Opponent:  50.44% (G:11.74% B:0.23%) 49.56% (G:15.79% B:0.43%)  



33: Bar/22 7/4 6/3(2) 


1.  4ply  Bar/22 7/4 6/3(2)  eq: 0.270 
 Player: Opponent:  37.93% (G:8.24% B:0.12%) 62.07% (G:8.43% B:0.08%)  

2.  4ply  Bar/22 8/5 7/4 6/3  eq: 0.310 (0.040) 
 Player: Opponent:  36.65% (G:8.27% B:0.14%) 63.35% (G:9.25% B:0.11%)  

3.  4ply  Bar/22 9/3 6/3  eq: 0.327 (0.057) 
 Player: Opponent:  36.56% (G:8.20% B:0.17%) 63.44% (G:10.00% B:0.16%)  

4.  4ply  Bar/22 13/10 6/3(2)  eq: 0.359 (0.089) 
 Player: Opponent:  36.59% (G:8.43% B:0.20%) 63.41% (G:12.73% B:0.37%)  

5.  3ply  Bar/22 8/5 6/3(2)  eq: 0.343 (0.073) 
 Player: Opponent:  36.06% (G:7.69% B:0.27%) 63.94% (G:9.69% B:0.18%)  



54: 13/8 6/2 


1.  Rollout^{1}  13/9 13/8  eq: +0.690 
 Player: Opponent:  69.79% (G:11.00% B:0.13%) 30.21% (G:5.25% B:0.12%)  Conf.: ± 0.012 (+0.678...+0.703)  [100.0%] Duration: 7 minutes 30 seconds 

2.  Rollout^{1}  13/8 6/2  eq: +0.660 (0.031) 
 Player: Opponent:  69.14% (G:11.22% B:0.15%) 30.86% (G:5.57% B:0.15%)  Conf.: ± 0.012 (+0.647...+0.672)  [0.0%] Duration: 7 minutes 53 seconds 

3.  2ply  13/9 6/1  eq: +0.283 (0.407) 
 Player: Opponent:  62.35% (G:7.18% B:0.07%) 37.65% (G:6.40% B:0.24%)  

4.  1ply  6/2 6/1  eq: +0.027 (0.664) 
 Player: Opponent:  56.57% (G:7.84% B:0.05%) 43.43% (G:11.88% B:0.10%)  

5.  1ply  13/4  eq: 0.048 (0.739) 
 Player: Opponent:  53.98% (G:8.02% B:0.11%) 46.02% (G:11.58% B:0.28%)  


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



66: 13/1(2) 


1.  XG Roller++  20/14(2) 13/7(2)  eq: 0.537 (+0.039) 
 Player: Opponent:  32.94% (G:4.03% B:0.09%) 67.06% (G:8.37% B:0.05%)  

2.  XG Roller++  20/2 8/2  eq: 0.563 (+0.013) 
 Player: Opponent:  32.90% (G:5.33% B:0.09%) 67.10% (G:13.07% B:0.17%)  

3.  XG Roller++  13/1(2)  eq: 0.576 
 Player: Opponent:  31.39% (G:4.55% B:0.04%) 68.61% (G:6.02% B:0.10%)  

4.  XG Roller++  13/7(2) 9/3 8/2  eq: 0.589 (0.012) 
 Player: Opponent:  31.29% (G:4.11% B:0.07%) 68.71% (G:6.59% B:0.11%)  

5.  XG Roller++  13/7 13/1 8/2  eq: 0.618 (0.041) 
 Player: Opponent:  30.36% (G:4.24% B:0.05%) 69.64% (G:7.53% B:0.23%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
68.72% (G:5.81% B:0.07%) 
68.80% (G:5.76% B:0.07%) 
Opponent Winning Chances: 
31.28% (G:4.42% B:0.02%) 
31.20% (G:4.41% B:0.02%) 
Cubeless Equities 
+0.390 
+0.789 
Cubeful Equities 
No double:  +0.514  
Double/Take:  +0.411 (0.103)  
Double/Pass:  +1.000 (+0.486) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.8% 


52: 13/6 


1.  3ply  13/6  eq: +0.518 
 Player: Opponent:  69.07% (G:5.94% B:0.06%) 30.93% (G:3.76% B:0.01%)  

2.  3ply  8/3* 3/1  eq: +0.378 (0.140) 
 Player: Opponent:  65.32% (G:4.98% B:0.05%) 34.68% (G:5.05% B:0.02%)  

3.  2ply  8/1  eq: +0.252 (0.266) 
 Player: Opponent:  61.66% (G:4.71% B:0.06%) 38.34% (G:5.85% B:0.11%)  

4.  1ply  13/8 6/4  eq: 0.136 (0.653) 
 Player: Opponent:  53.16% (G:5.26% B:0.08%) 46.84% (G:14.33% B:0.05%)  

5.  1ply  8/6 8/3*  eq: 0.299 (0.817) 
 Player: Opponent:  50.25% (G:5.74% B:0.10%) 49.75% (G:19.22% B:0.19%)  



55: 20/15(2) 9/4 8/3 


1.  XG Roller++  20/15(2) 9/4 8/3  eq: 0.413 
 Player: Opponent:  36.41% (G:3.79% B:0.04%) 63.59% (G:5.25% B:0.06%)  

2.  XG Roller++  20/10(2)  eq: 0.426 (0.013) 
 Player: Opponent:  35.34% (G:3.04% B:0.03%) 64.66% (G:2.86% B:0.03%)  

3.  3ply  20/15 20/5  eq: 0.452 (0.039) 
 Player: Opponent:  33.95% (G:3.54% B:0.05%) 66.05% (G:7.17% B:0.14%)  

4.  3ply  20/15 20/10 9/4  eq: 0.458 (0.045) 
 Player: Opponent:  33.84% (G:3.53% B:0.06%) 66.16% (G:7.67% B:0.16%)  

5.  3ply  20/15 20/10 8/3  eq: 0.472 (0.059) 
 Player: Opponent:  33.53% (G:3.44% B:0.06%) 66.47% (G:8.13% B:0.18%)  



54: 13/9 13/8 


1.  3ply  13/9 13/8  eq: +0.377 
 Player: Opponent:  64.07% (G:1.69% B:0.02%) 35.93% (G:0.67% B:0.00%)  

2.  1ply  6/2 6/1  eq: 0.021 (0.399) 
 Player: Opponent:  52.66% (G:2.19% B:0.02%) 47.34% (G:4.70% B:0.01%)  

3.  1ply  13/9 8/3*  eq: 0.231 (0.609) 
 Player: Opponent:  49.93% (G:5.27% B:0.06%) 50.07% (G:14.11% B:0.16%)  

4.  1ply  9/4 8/4  eq: 0.267 (0.644) 
 Player: Opponent:  46.83% (G:5.21% B:0.06%) 53.17% (G:10.50% B:0.06%)  

5.  1ply  8/3* 6/2  eq: 0.308 (0.685) 
 Player: Opponent:  47.09% (G:4.35% B:0.04%) 52.91% (G:13.18% B:0.07%)  



32: 22/20 15/12 


1.  4ply  22/20 15/12  eq: 0.558 
 Player: Opponent:  30.69% (G:0.40% B:0.00%) 69.31% (G:2.85% B:0.03%)  

2.  4ply  15/13 15/12  eq: 0.635 (0.077) 
 Player: Opponent:  28.40% (G:0.77% B:0.00%) 71.60% (G:2.81% B:0.03%)  

3.  4ply  15/10  eq: 0.638 (0.080) 
 Player: Opponent:  28.38% (G:0.77% B:0.00%) 71.62% (G:2.93% B:0.03%)  

4.  4ply  15/12 4/2  eq: 0.644 (0.086) 
 Player: Opponent:  28.22% (G:0.87% B:0.00%) 71.78% (G:3.48% B:0.04%)  

5.  3ply  15/12 3/1  eq: 0.686 (0.129) 
 Player: Opponent:  27.22% (G:1.13% B:0.01%) 72.78% (G:3.50% B:0.06%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
69.23% (G:2.52% B:0.02%) 
69.33% (G:2.76% B:0.02%) 
Opponent Winning Chances: 
30.77% (G:0.54% B:0.01%) 
30.67% (G:0.46% B:0.00%) 
Cubeless Equities 
+0.407 
+0.854 
Cubeful Equities 
No double:  +0.584  
Double/Take:  +0.551 (0.033)  
Double/Pass:  +1.000 (+0.416) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.9% 


66: 9/3(3) 8/2 


1.  3ply  9/3(3) 8/2  eq: +0.958 
 Player: Opponent:  82.67% (G:1.23% B:0.01%) 17.33% (G:0.14% B:0.00%)  

2.  2ply  8/2(4)  eq: +0.596 (0.362) 
 Player: Opponent:  71.49% (G:0.62% B:0.01%) 28.51% (G:1.24% B:0.01%)  

3.  1ply  9/3(2) 8/2(2)  eq: +0.209 (0.749) 
 Player: Opponent:  59.25% (G:1.15% B:0.01%) 40.75% (G:2.15% B:0.02%)  

4.  1ply  9/3 8/2(3)  eq: 0.105 (1.064) 
 Player: Opponent:  50.21% (G:0.88% B:0.01%) 49.79% (G:4.57% B:0.04%)  



31: 15/11 


1.  XG Roller++  15/12 3/2  eq: 1.000 
 Player: Opponent:  15.50% (G:0.33% B:0.01%) 84.50% (G:1.95% B:0.01%)  

2.  XG Roller++  12/9 3/2  eq: 1.000 
 Player: Opponent:  15.54% (G:0.32% B:0.01%) 84.46% (G:2.05% B:0.01%)  

3.  XG Roller++  15/11  eq: 1.000 
 Player: Opponent:  15.06% (G:0.29% B:0.01%) 84.94% (G:1.77% B:0.01%)  

4.  XG Roller++  12/8  eq: 1.000 
 Player: Opponent:  15.09% (G:0.29% B:0.01%) 84.91% (G:1.97% B:0.01%)  

5.  XG Roller++  15/14 12/9  eq: 1.000 
 Player: Opponent:  14.96% (G:0.28% B:0.01%) 85.04% (G:1.87% B:0.01%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.95% (G:1.79% B:0.01%) 
85.29% (G:1.66% B:0.01%) 
Opponent Winning Chances: 
15.05% (G:0.30% B:0.01%) 
14.71% (G:0.21% B:0.00%) 
Cubeless Equities 
+0.716 
+1.514 
Cubeful Equities 
No double:  +0.987 (0.013)  
Double/Take:  +1.424 (+0.424)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



