63: 24/18 13/10 


1.  Book^{1}  24/18 13/10  eq: 0.001 
 Player: Opponent:  50.34% (G:12.65% B:0.56%) 49.66% (G:13.08% B:0.53%)  

2.  Book^{1}  24/15  eq: 0.018 (0.016) 
 Player: Opponent:  50.31% (G:11.50% B:0.47%) 49.69% (G:12.87% B:0.46%)  

3.  Book^{1}  13/4  eq: 0.070 (0.068) 
 Player: Opponent:  48.44% (G:13.62% B:0.66%) 51.56% (G:14.14% B:0.74%)  

4.  Book^{1}  24/21 13/7  eq: 0.071 (0.069) 
 Player: Opponent:  48.45% (G:13.05% B:0.57%) 51.55% (G:13.72% B:0.59%)  

5.  Book^{1}  24/21 24/18  eq: 0.095 (0.094) 
 Player: Opponent:  48.76% (G:11.17% B:0.51%) 51.24% (G:14.61% B:0.49%)  


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



21: 13/11 8/7* 


1.  XG Roller++  13/11 8/7*  eq: 0.107 
 Player: Opponent:  47.17% (G:12.84% B:0.56%) 52.83% (G:15.54% B:1.00%)  

2.  XG Roller++  24/22 8/7*  eq: 0.117 (0.010) 
 Player: Opponent:  46.69% (G:11.97% B:0.49%) 53.31% (G:14.58% B:0.66%)  

3.  4ply  8/7* 7/5  eq: 0.174 (0.067) 
 Player: Opponent:  45.46% (G:11.71% B:0.50%) 54.54% (G:15.94% B:0.95%)  

4.  3ply  13/11 6/5  eq: 0.225 (0.118) 
 Player: Opponent:  44.31% (G:10.66% B:0.43%) 55.69% (G:15.66% B:1.03%)  

5.  3ply  8/7* 6/4  eq: 0.238 (0.131) 
 Player: Opponent:  44.64% (G:10.97% B:0.50%) 55.36% (G:17.88% B:1.42%)  



31: Bar/24 13/10 


1.  XG Roller++  Bar/24 13/10  eq: 0.074 
 Player: Opponent:  48.82% (G:13.87% B:0.77%) 51.18% (G:15.24% B:0.73%)  

2.  XG Roller++  Bar/21  eq: 0.110 (0.035) 
 Player: Opponent:  48.03% (G:12.82% B:0.66%) 51.97% (G:15.02% B:0.64%)  

3.  4ply  Bar/22 24/23  eq: 0.111 (0.036) 
 Player: Opponent:  48.06% (G:12.91% B:0.71%) 51.94% (G:15.74% B:0.68%)  

4.  4ply  Bar/22 10/9  eq: 0.112 (0.038) 
 Player: Opponent:  47.89% (G:12.99% B:0.70%) 52.11% (G:15.53% B:0.69%)  

5.  3ply  Bar/22 6/5  eq: 0.131 (0.057) 
 Player: Opponent:  48.27% (G:12.84% B:0.76%) 51.73% (G:17.41% B:1.00%)  



11: 24/23 8/7 6/5(2) 


1.  Rollout^{1}  11/10 8/7 6/5(2)  eq: +0.349 
 Player: Opponent:  57.71% (G:18.49% B:1.08%) 42.29% (G:13.23% B:0.81%)  Conf.: ± 0.017 (+0.333...+0.366)  [100.0%] Duration: 14 minutes 50 seconds 

2.  Rollout^{1}  24/23 8/7 6/5(2)  eq: +0.301 (0.048) 
 Player: Opponent:  56.73% (G:17.59% B:1.00%) 43.27% (G:13.64% B:0.65%)  Conf.: ± 0.016 (+0.285...+0.317)  [0.0%] Duration: 15 minutes 36 seconds 

3.  XG Roller++  8/7(2) 6/5(2)  eq: +0.308 (0.042) 
 Player: Opponent:  56.52% (G:17.58% B:0.88%) 43.48% (G:12.23% B:0.66%)  

4.  XG Roller++  8/7 6/5(3)  eq: +0.305 (0.044) 
 Player: Opponent:  56.80% (G:17.12% B:0.91%) 43.20% (G:12.58% B:0.71%)  

5.  XG Roller++  7/5 6/5(2)  eq: +0.194 (0.155) 
 Player: Opponent:  53.83% (G:16.62% B:0.82%) 46.17% (G:13.25% B:0.70%)  


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



63: 13/7 10/7 


1.  Rollout^{1}  24/15  eq: 0.453 
 Player: Opponent:  40.52% (G:10.91% B:0.56%) 59.48% (G:20.26% B:0.93%)  Conf.: ± 0.015 (0.468...0.438)  [91.7%] Duration: 15 minutes 14 seconds 

2.  Rollout^{2}  24/21 8/2*  eq: 0.517 (0.064) 
 Player: Opponent:  39.07% (G:11.03% B:0.54%) 60.93% (G:19.24% B:1.05%)  Conf.: ± 0.089 (0.607...0.428)  [8.3%] Duration: 27.4 seconds 

3.  Rollout^{1}  13/7 10/7  eq: 0.573 (0.120) 
 Player: Opponent:  36.64% (G:11.49% B:0.59%) 63.36% (G:19.51% B:1.25%)  Conf.: ± 0.016 (0.589...0.557)  [0.0%] Duration: 13 minutes 09 seconds 

4.  2ply  24/21 13/7  eq: 0.609 (0.156) 
 Player: Opponent:  35.85% (G:8.91% B:0.44%) 64.15% (G:21.94% B:1.48%)  

5.  2ply  13/10 8/2*  eq: 0.696 (0.242) 
 Player: Opponent:  34.31% (G:9.35% B:0.47%) 65.69% (G:21.52% B:1.51%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{2} 36 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
63.35% (G:18.58% B:1.12%) 
63.49% (G:18.65% B:1.11%) 
Opponent Winning Chances: 
36.65% (G:10.64% B:0.49%) 
36.51% (G:10.89% B:0.49%) 
Cubeless Equities 
+0.353 
+0.725 
Cubeful Equities 
No double:  +0.572  
Double/Take:  +0.497 (0.075)  
Double/Pass:  +1.000 (+0.428) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.0% 


31: 23/22 11/8 


1.  4ply  23/22 11/8  eq: +0.484 
 Player: Opponent:  61.84% (G:17.47% B:1.02%) 38.16% (G:11.63% B:0.42%)  

2.  4ply  24/23 11/8  eq: +0.413 (0.072) 
 Player: Opponent:  59.42% (G:17.57% B:0.91%) 40.58% (G:10.90% B:0.46%)  

3.  3ply  11/8 6/5  eq: +0.371 (0.113) 
 Player: Opponent:  59.57% (G:17.12% B:0.92%) 40.43% (G:12.91% B:0.48%)  

4.  3ply  24/23 13/10  eq: +0.302 (0.182) 
 Player: Opponent:  57.01% (G:17.05% B:0.83%) 42.99% (G:12.09% B:0.60%)  

5.  2ply  23/22 13/10  eq: +0.237 (0.248) 
 Player: Opponent:  56.52% (G:16.85% B:1.08%) 43.48% (G:15.34% B:1.03%)  



51: 10/5 6/5 


1.  3ply  10/5 6/5  eq: 0.305 
 Player: Opponent:  42.02% (G:12.69% B:0.52%) 57.98% (G:15.52% B:0.80%)  

2.  1ply  24/23 6/1*  eq: 0.775 (0.470) 
 Player: Opponent:  32.45% (G:8.05% B:0.27%) 67.55% (G:19.92% B:1.39%)  

3.  1ply  24/23 8/3*  eq: 0.814 (0.509) 
 Player: Opponent:  32.50% (G:8.15% B:0.39%) 67.50% (G:21.81% B:1.69%)  

4.  1ply  24/23 10/5  eq: 0.865 (0.560) 
 Player: Opponent:  31.73% (G:7.27% B:0.29%) 68.27% (G:21.97% B:1.40%)  

5.  1ply  10/9 8/3*  eq: 0.877 (0.572) 
 Player: Opponent:  31.57% (G:7.98% B:0.41%) 68.43% (G:22.26% B:1.99%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.17% (G:15.74% B:0.79%) 
58.17% (G:15.74% B:0.79%) 
Opponent Winning Chances: 
41.83% (G:12.94% B:0.50%) 
41.83% (G:12.94% B:0.50%) 
Cubeless Equities 
+0.194 
+0.396 
Cubeful Equities 
No double:  +0.308  
Double/Take:  +0.140 (0.168)  
Double/Pass:  +1.000 (+0.692) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.4% 


33: 24/21 13/10 13/7 


1.  Rollout^{1}  24/21 13/10(3)  eq: +0.156 
 Player: Opponent:  54.99% (G:15.90% B:1.07%) 45.01% (G:17.71% B:0.92%)  Conf.: ± 0.018 (+0.138...+0.173)  [94.8%] Duration: 11 minutes 01 second 

2.  Rollout^{1}  24/21 13/10 13/7  eq: +0.136 (0.020) 
 Player: Opponent:  54.41% (G:16.81% B:1.11%) 45.59% (G:19.90% B:1.05%)  Conf.: ± 0.016 (+0.120...+0.152)  [5.2%] Duration: 10 minutes 59 seconds 

3.  XG Roller++  13/10(4)  eq: +0.141 (0.015) 
 Player: Opponent:  53.43% (G:15.27% B:0.85%) 46.57% (G:14.87% B:0.55%)  

4.  3ply  13/10(2) 13/7  eq: +0.100 (0.056) 
 Player: Opponent:  53.19% (G:15.85% B:1.00%) 46.81% (G:17.04% B:0.89%)  

5.  3ply  24/21 13/10(2) 6/3  eq: +0.057 (0.099) 
 Player: Opponent:  53.63% (G:14.88% B:0.94%) 46.37% (G:20.51% B:1.04%)  


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



32: 7/4* 6/4 


1.  XG Roller++  7/4* 6/4  eq: 0.100 
 Player: Opponent:  46.53% (G:19.03% B:1.01%) 53.47% (G:15.98% B:1.03%)  

2.  XG Roller++  24/21 6/4*  eq: 0.139 (0.039) 
 Player: Opponent:  47.00% (G:15.27% B:0.84%) 53.00% (G:17.61% B:1.17%)  

3.  3ply  6/4* 6/3*  eq: 0.244 (0.144) 
 Player: Opponent:  44.82% (G:16.51% B:0.95%) 55.18% (G:19.57% B:1.81%)  

4.  3ply  24/22 6/3*  eq: 0.282 (0.181) 
 Player: Opponent:  43.22% (G:13.11% B:0.63%) 56.78% (G:16.51% B:0.93%)  

5.  2ply  8/5 6/4*  eq: 0.348 (0.247) 
 Player: Opponent:  41.34% (G:14.26% B:0.67%) 58.66% (G:19.15% B:1.37%)  



53: Bar/22 10/5 


1.  3ply  Bar/22 10/5  eq: +0.421 
 Player: Opponent:  59.99% (G:17.35% B:0.76%) 40.01% (G:9.61% B:0.33%)  

2.  3ply  Bar/22 13/8  eq: +0.285 (0.137) 
 Player: Opponent:  56.59% (G:16.13% B:0.84%) 43.41% (G:11.51% B:0.46%)  

3.  2ply  Bar/22 7/2  eq: +0.128 (0.294) 
 Player: Opponent:  52.98% (G:14.98% B:0.74%) 47.02% (G:13.86% B:0.63%)  

4.  1ply  Bar/22 8/3  eq: 0.080 (0.502) 
 Player: Opponent:  48.33% (G:13.33% B:0.66%) 51.67% (G:17.22% B:0.93%)  



62: 13/11 13/7 


1.  Rollout^{1}  24/16  eq: 0.176 
 Player: Opponent:  46.58% (G:12.12% B:0.56%) 53.42% (G:16.87% B:0.79%)  Conf.: ± 0.013 (0.189...0.163)  [100.0%] Duration: 9 minutes 17 seconds 

2.  Rollout^{1}  13/11 13/7  eq: 0.519 (0.343) 
 Player: Opponent:  37.31% (G:9.27% B:0.37%) 62.69% (G:17.20% B:0.71%)  Conf.: ± 0.012 (0.531...0.507)  [0.0%] Duration: 7 minutes 03 seconds 

3.  3ply  24/22 13/7  eq: 0.299 (0.123) 
 Player: Opponent:  43.38% (G:10.31% B:0.42%) 56.62% (G:16.05% B:0.81%)  

4.  2ply  24/22 8/2  eq: 0.524 (0.348) 
 Player: Opponent:  38.13% (G:9.55% B:0.28%) 61.87% (G:21.54% B:1.34%)  

5.  2ply  24/22 7/1  eq: 0.526 (0.351) 
 Player: Opponent:  37.42% (G:9.12% B:0.23%) 62.58% (G:19.87% B:0.86%)  


^{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: 
62.31% (G:16.88% B:0.70%) 
62.41% (G:17.07% B:0.70%) 
Opponent Winning Chances: 
37.69% (G:8.87% B:0.33%) 
37.59% (G:8.84% B:0.34%) 
Cubeless Equities 
+0.330 
+0.686 
Cubeful Equities 
No double:  +0.506  
Double/Take:  +0.436 (0.070)  
Double/Pass:  +1.000 (+0.494) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.1% 


65: 8/2 7/2 


1.  Rollout^{1}  13/8 13/7  eq: +0.252 
 Player: Opponent:  56.21% (G:14.80% B:0.63%) 43.79% (G:11.01% B:0.40%)  Conf.: ± 0.013 (+0.239...+0.265)  [100.0%] Duration: 6 minutes 17 seconds 

2.  Rollout^{1}  8/2 7/2  eq: +0.133 (0.119) 
 Player: Opponent:  52.35% (G:15.78% B:0.60%) 47.65% (G:12.17% B:0.66%)  Conf.: ± 0.012 (+0.121...+0.146)  [0.0%] Duration: 6 minutes 23 seconds 

3.  XG Roller++  22/11  eq: +0.036 (0.217) 
 Player: Opponent:  52.67% (G:13.87% B:0.92%) 47.33% (G:18.39% B:0.58%)  

4.  2ply  13/2  eq: 0.006 (0.259) 
 Player: Opponent:  48.77% (G:12.59% B:0.52%) 51.23% (G:12.36% B:0.56%)  

5.  2ply  22/16 13/8  eq: 0.119 (0.371) 
 Player: Opponent:  49.54% (G:12.86% B:0.72%) 50.46% (G:23.48% B:1.28%)  


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



55: 11/1 7/2(2) 


1.  3ply  11/1 7/2(2)  eq: 0.891 
 Player: Opponent:  29.79% (G:7.52% B:0.24%) 70.21% (G:19.51% B:0.74%)  

2.  3ply  11/1 7/2 6/1  eq: 0.997 (0.106) 
 Player: Opponent:  28.43% (G:7.52% B:0.26%) 71.57% (G:21.14% B:1.09%)  

3.  3ply  7/2(2) 6/1(2)  eq: 1.000 (0.109) 
 Player: Opponent:  24.83% (G:6.59% B:0.21%) 75.17% (G:24.16% B:1.59%)  

4.  3ply  11/1 6/1(2)  eq: 1.000 (0.109) 
 Player: Opponent:  23.06% (G:4.95% B:0.14%) 76.94% (G:24.54% B:1.29%)  

5.  2ply  7/2 6/1(3)  eq: 1.051 (0.160) 
 Player: Opponent:  19.52% (G:4.18% B:0.09%) 80.48% (G:28.01% B:2.27%)  



Double/Take 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
70.31% (G:19.52% B:0.77%) 
70.96% (G:19.57% B:0.74%) 
Opponent Winning Chances: 
29.69% (G:7.55% B:0.21%) 
29.04% (G:7.81% B:0.25%) 
Cubeless Equities 
+0.532 
+1.109 
Cubeful Equities 
No double:  +0.766 (0.164)  ±0.010 (+0.757..+0.776) 
Double/Take:  +0.931  ±0.014 (+0.917..+0.945) 
Double/Pass:  +1.000 (+0.069) 

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 33 seconds 


66: 22/10(2) 


1.  3ply  22/10(2)  eq: +0.599 
 Player: Opponent:  77.95% (G:13.69% B:0.47%) 22.05% (G:3.87% B:0.05%)  

2.  3ply  22/16(2) 13/7 8/2  eq: +0.511 (0.088) 
 Player: Opponent:  74.75% (G:12.26% B:0.32%) 25.25% (G:3.38% B:0.04%)  

3.  3ply  22/16(2) 13/7(2)  eq: +0.506 (0.093) 
 Player: Opponent:  74.59% (G:13.20% B:0.41%) 25.41% (G:4.69% B:0.06%)  

4.  3ply  22/16 22/10 13/7  eq: +0.489 (0.110) 
 Player: Opponent:  74.93% (G:13.57% B:0.50%) 25.07% (G:8.29% B:0.68%)  

5.  2ply  22/16 22/10 8/2  eq: +0.421 (0.178) 
 Player: Opponent:  71.95% (G:11.49% B:0.31%) 28.05% (G:4.99% B:0.18%)  



31: 24/21 8/7 


1.  Rollout^{1}  8/5 2/1  eq: 0.769 
 Player: Opponent:  15.38% (G:1.48% B:0.03%) 84.62% (G:12.51% B:0.38%)  Conf.: ± 0.005 (0.774...0.764)  [50.0%] Duration: 2 minutes 27 seconds 

2.  Rollout^{1}  8/7 6/3  eq: 0.770 (0.001) 
 Player: Opponent:  15.75% (G:1.53% B:0.03%) 84.25% (G:13.26% B:0.60%)  Conf.: ± 0.005 (0.775...0.765)  [31.7%] Duration: 2 minutes 35 seconds 

3.  Rollout^{1}  8/7 8/5  eq: 0.771 (0.002) 
 Player: Opponent:  15.52% (G:1.54% B:0.04%) 84.48% (G:13.00% B:0.58%)  Conf.: ± 0.005 (0.776...0.766)  [18.3%] Duration: 2 minutes 26 seconds 

4.  Rollout^{1}  8/4  eq: 0.779 (0.010) 
 Player: Opponent:  14.94% (G:1.41% B:0.03%) 85.06% (G:12.64% B:0.39%)  Conf.: ± 0.004 (0.783...0.774)  [0.0%] Duration: 2 minutes 16 seconds 

5.  Rollout^{1}  6/3 2/1  eq: 0.780 (0.011) 
 Player: Opponent:  15.29% (G:1.38% B:0.04%) 84.71% (G:13.12% B:0.44%)  Conf.: ± 0.005 (0.785...0.775)  [0.0%] Duration: 2 minutes 00 second 

6.  Rollout^{1}  24/21 8/7  eq: 0.812 (0.043) 
 Player: Opponent:  18.41% (G:3.58% B:0.11%) 81.59% (G:23.76% B:1.09%)  Conf.: ± 0.005 (0.817...0.806)  [0.0%] Duration: 2 minutes 49 seconds 


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



53: 13/10 13/8 


1.  Rollout^{1}  8/3 6/3  eq: +0.616 
 Player: Opponent:  78.72% (G:11.47% B:0.30%) 21.28% (G:1.92% B:0.05%)  Conf.: ± 0.005 (+0.611...+0.620)  [100.0%] Duration: 2 minutes 25 seconds 

2.  Rollout^{1}  13/10 13/8  eq: +0.580 (0.036) 
 Player: Opponent:  78.04% (G:9.21% B:0.27%) 21.96% (G:1.49% B:0.03%)  Conf.: ± 0.004 (+0.575...+0.584)  [0.0%] Duration: 2 minutes 31 seconds 

3.  2ply  13/8 5/2  eq: +0.415 (0.201) 
 Player: Opponent:  72.32% (G:8.02% B:0.29%) 27.68% (G:2.56% B:0.06%)  

4.  1ply  13/8 6/3  eq: +0.210 (0.406) 
 Player: Opponent:  65.14% (G:9.93% B:0.45%) 34.86% (G:9.17% B:0.09%)  

5.  1ply  8/5 6/1*  eq: +0.166 (0.450) 
 Player: Opponent:  62.35% (G:12.49% B:0.38%) 37.65% (G:9.45% B:0.06%)  


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



21: 24/21 


1.  3ply  24/21  eq: 0.412 
 Player: Opponent:  25.68% (G:0.87% B:0.00%) 74.32% (G:2.10% B:0.01%)  

2.  2ply  24/22 8/7  eq: 0.753 (0.341) 
 Player: Opponent:  20.20% (G:2.23% B:0.02%) 79.80% (G:22.38% B:0.72%)  

3.  1ply  24/22 6/5  eq: 0.761 (0.349) 
 Player: Opponent:  18.99% (G:1.79% B:0.06%) 81.01% (G:20.34% B:0.50%)  

4.  1ply  24/22 2/1  eq: 0.762 (0.350) 
 Player: Opponent:  18.95% (G:1.89% B:0.05%) 81.05% (G:20.43% B:0.50%)  

5.  1ply  24/22 7/6  eq: 0.769 (0.357) 
 Player: Opponent:  18.10% (G:1.66% B:0.07%) 81.90% (G:19.12% B:0.42%)  



32: 10/7 5/3 


1.  XG Roller++  10/7 5/3  eq: +0.390 
 Player: Opponent:  73.00% (G:2.14% B:0.03%) 27.00% (G:0.74% B:0.01%)  

2.  XG Roller++  10/5  eq: +0.379 (0.011) 
 Player: Opponent:  72.54% (G:1.89% B:0.03%) 27.46% (G:0.72% B:0.01%)  

3.  XG Roller++  6/3 5/3  eq: +0.373 (0.017) 
 Player: Opponent:  72.33% (G:2.15% B:0.03%) 27.67% (G:0.83% B:0.01%)  

4.  XG Roller++  10/8 6/3  eq: +0.369 (0.021) 
 Player: Opponent:  72.10% (G:2.11% B:0.03%) 27.90% (G:0.92% B:0.01%)  

5.  XG Roller++  8/6 8/5  eq: +0.348 (0.042) 
 Player: Opponent:  71.31% (G:1.84% B:0.02%) 28.69% (G:0.76% B:0.01%)  



53: 8/3 6/3 


1.  XG Roller++  8/3 6/3  eq: 0.386 
 Player: Opponent:  27.12% (G:0.65% B:0.01%) 72.88% (G:1.87% B:0.02%)  

2.  XG Roller++  8/5 8/3  eq: 0.391 (0.005) 
 Player: Opponent:  26.90% (G:0.73% B:0.01%) 73.10% (G:2.03% B:0.03%)  

3.  XG Roller++  8/3 7/4  eq: 0.403 (0.018) 
 Player: Opponent:  26.45% (G:0.85% B:0.01%) 73.55% (G:2.32% B:0.04%)  

4.  XG Roller++  8/5 6/1  eq: 0.405 (0.020) 
 Player: Opponent:  26.30% (G:0.68% B:0.01%) 73.70% (G:2.20% B:0.03%)  

5.  XG Roller++  6/3 6/1  eq: 0.407 (0.021) 
 Player: Opponent:  26.32% (G:0.61% B:0.00%) 73.68% (G:2.26% B:0.03%)  



54: 10/6 10/5 


1.  XG Roller++  10/6 10/5  eq: +0.435 
 Player: Opponent:  74.90% (G:1.47% B:0.02%) 25.10% (G:0.19% B:0.00%)  

2.  XG Roller++  7/3 6/1  eq: +0.428 (0.008) 
 Player: Opponent:  74.55% (G:2.07% B:0.02%) 25.45% (G:0.80% B:0.01%)  

3.  2ply  7/2 6/2  eq: +0.268 (0.168) 
 Player: Opponent:  68.68% (G:1.34% B:0.01%) 31.32% (G:1.36% B:0.00%)  

4.  1ply  8/3 7/3  eq: +0.002 (0.433) 
 Player: Opponent:  58.09% (G:3.70% B:0.04%) 41.91% (G:6.03% B:0.05%)  

5.  1ply  10/5 7/3  eq: 0.009 (0.445) 
 Player: Opponent:  57.01% (G:4.24% B:0.03%) 42.99% (G:4.97% B:0.05%)  



22: 8/6 7/1 


1.  XG Roller++  8/4 7/3  eq: 0.479 
 Player: Opponent:  23.35% (G:0.23% B:0.00%) 76.65% (G:1.90% B:0.02%)  

2.  XG Roller++  8/6 7/1  eq: 0.479 (0.000) 
 Player: Opponent:  23.31% (G:0.20% B:0.00%) 76.69% (G:1.69% B:0.02%)  

3.  XG Roller++  8/2 7/5  eq: 0.482 (0.003) 
 Player: Opponent:  23.26% (G:0.25% B:0.00%) 76.74% (G:1.92% B:0.02%)  

4.  XG Roller++  8/4 7/5 3/1  eq: 0.486 (0.007) 
 Player: Opponent:  23.06% (G:0.20% B:0.00%) 76.94% (G:1.95% B:0.02%)  

5.  XG Roller++  7/1 6/4  eq: 0.486 (0.007) 
 Player: Opponent:  22.96% (G:0.17% B:0.00%) 77.04% (G:1.69% B:0.02%)  



64: 7/1 6/2 


1.  Rollout^{1}  7/1 5/1  eq: +0.526 
 Player: Opponent:  78.93% (G:1.40% B:0.01%) 21.07% (G:0.06% B:0.00%)  Conf.: ± 0.003 (+0.523...+0.530)  [100.0%] Duration: 55.0 seconds 

2.  Rollout^{1}  7/1 6/2  eq: +0.488 (0.039) 
 Player: Opponent:  77.44% (G:1.05% B:0.01%) 22.56% (G:0.14% B:0.00%)  Conf.: ± 0.004 (+0.484...+0.492)  [0.0%] Duration: 52.8 seconds 

3.  1ply  7/3 7/1  eq: 0.038 (0.565) 
 Player: Opponent:  56.03% (G:1.90% B:0.01%) 43.97% (G:2.91% B:0.05%)  

4.  1ply  8/2 7/3  eq: 0.044 (0.570) 
 Player: Opponent:  55.61% (G:1.46% B:0.01%) 44.39% (G:1.90% B:0.02%)  

5.  1ply  8/2 5/1  eq: 0.154 (0.680) 
 Player: Opponent:  51.52% (G:1.12% B:0.00%) 48.48% (G:3.11% B:0.04%)  


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



65: 21/16 21/15 


1.  XG Roller++  21/16 21/15  eq: 0.366 
 Player: Opponent:  27.27% (G:0.00% B:0.00%) 72.73% (G:0.00% B:0.00%)  

2.  XG Roller++  21/10  eq: 0.375 (0.009) 
 Player: Opponent:  27.35% (G:0.16% B:0.00%) 72.65% (G:0.59% B:0.01%)  

3.  3ply  21/15 6/1  eq: 0.463 (0.097) 
 Player: Opponent:  23.75% (G:0.26% B:0.00%) 76.25% (G:1.30% B:0.02%)  



32: 8/6 7/4 


1.  XG Roller++  8/6 7/4  eq: +0.248 
 Player: Opponent:  67.70% (G:0.00% B:0.00%) 32.30% (G:0.00% B:0.00%)  

2.  XG Roller++  7/4 6/4  eq: +0.240 (0.007) 
 Player: Opponent:  67.40% (G:0.00% B:0.00%) 32.60% (G:0.00% B:0.00%)  

3.  XG Roller++  7/5 7/4  eq: +0.237 (0.011) 
 Player: Opponent:  67.25% (G:0.00% B:0.00%) 32.75% (G:0.00% B:0.00%)  

4.  XG Roller++  7/4 5/3  eq: +0.215 (0.032) 
 Player: Opponent:  66.32% (G:0.00% B:0.00%) 33.68% (G:0.00% B:0.00%)  

5.  XG Roller++  6/4 6/3  eq: +0.160 (0.087) 
 Player: Opponent:  64.01% (G:0.00% B:0.00%) 35.99% (G:0.00% B:0.00%)  



42: 16/14 15/11 


1.  Rollout^{1}  16/10  eq: 0.379 
 Player: Opponent:  26.75% (G:0.00% B:0.00%) 73.25% (G:0.00% B:0.00%)  Conf.: ± 0.002 (0.382...0.377)  [94.2%] Duration: 1 minute 10 seconds 

2.  Rollout^{1}  16/14 15/11  eq: 0.382 (0.003) 
 Player: Opponent:  26.68% (G:0.00% B:0.00%) 73.32% (G:0.00% B:0.00%)  Conf.: ± 0.002 (0.384...0.380)  [5.8%] Duration: 1 minute 07 seconds 

3.  XG Roller++  15/9  eq: 0.381 (0.001) 
 Player: Opponent:  26.63% (G:0.00% B:0.00%) 73.37% (G:0.00% B:0.00%)  

4.  XG Roller++  16/12 15/13  eq: 0.384 (0.005) 
 Player: Opponent:  26.47% (G:0.00% B:0.00%) 73.53% (G:0.00% B:0.00%)  

5.  XG Roller++  16/14 6/2  eq: 0.452 (0.073) 
 Player: Opponent:  23.55% (G:0.00% B:0.00%) 76.45% (G:0.00% B:0.00%)  


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



61: 8/2 7/6 


1.  Rollout^{1}  7/1 5/4  eq: +0.307 
 Player: Opponent:  70.10% (G:0.00% B:0.00%) 29.90% (G:0.00% B:0.00%)  Conf.: ± 0.002 (+0.305...+0.310)  [100.0%] Duration: 53.8 seconds 

2.  Rollout^{1}  8/2 7/6  eq: +0.269 (0.038) 
 Player: Opponent:  68.49% (G:0.00% B:0.00%) 31.51% (G:0.00% B:0.00%)  Conf.: ± 0.002 (+0.267...+0.271)  [0.0%] Duration: 49.0 seconds 

3.  XG Roller++  8/2 5/4  eq: +0.279 (0.029) 
 Player: Opponent:  69.10% (G:0.00% B:0.00%) 30.90% (G:0.00% B:0.00%)  

4.  XG Roller++  7/1 6/5  eq: +0.278 (0.030) 
 Player: Opponent:  69.07% (G:0.00% B:0.00%) 30.93% (G:0.00% B:0.00%)  

5.  XG Roller++  8/1  eq: +0.275 (0.032) 
 Player: Opponent:  68.97% (G:0.00% B:0.00%) 31.03% (G:0.00% B:0.00%)  


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



44: 14/6 11/3 


1.  XG Roller++  14/6 11/3  eq: +0.199 
 Player: Opponent:  51.30% (G:0.00% B:0.00%) 48.70% (G:0.00% B:0.00%)  

2.  XG Roller++  14/2 11/7  eq: +0.140 (0.059) 
 Player: Opponent:  48.80% (G:0.00% B:0.00%) 51.20% (G:0.00% B:0.00%)  

3.  XG Roller++  14/10 11/7 6/2(2)  eq: 0.008 (0.207) 
 Player: Opponent:  42.40% (G:0.00% B:0.00%) 57.60% (G:0.00% B:0.00%)  

4.  XG Roller++  11/7 6/2(3)  eq: 0.146 (0.345) 
 Player: Opponent:  36.52% (G:0.00% B:0.00%) 63.48% (G:0.00% B:0.00%)  

5.  4ply  14/10 11/3 6/2  eq: +0.114 (0.085) 
 Player: Opponent:  48.20% (G:0.00% B:0.00%) 51.80% (G:0.00% B:0.00%)  



31: 3/Off 1/Off 


1.  4ply  3/Off 1/Off  eq: 0.432 
 Player: Opponent:  38.24% (G:0.00% B:0.00%) 61.76% (G:0.00% B:0.00%)  

2.  4ply  6/3 1/Off  eq: 0.451 (0.019) 
 Player: Opponent:  37.46% (G:0.00% B:0.00%) 62.54% (G:0.00% B:0.00%)  

3.  4ply  5/4 3/Off  eq: 0.479 (0.047) 
 Player: Opponent:  36.28% (G:0.00% B:0.00%) 63.72% (G:0.00% B:0.00%)  

4.  4ply  6/5 3/Off  eq: 0.494 (0.063) 
 Player: Opponent:  35.71% (G:0.00% B:0.00%) 64.29% (G:0.00% B:0.00%)  

5.  4ply  6/3 5/4  eq: 0.499 (0.067) 
 Player: Opponent:  35.49% (G:0.00% B:0.00%) 64.51% (G:0.00% B:0.00%)  



51: 5/Off 1/Off 


1.  4ply  5/Off 1/Off  eq: +0.322 
 Player: Opponent:  56.79% (G:0.00% B:0.00%) 43.21% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: +0.278 (0.043) 
 Player: Opponent:  55.01% (G:0.00% B:0.00%) 44.99% (G:0.00% B:0.00%)  

3.  4ply  6/5 6/1  eq: +0.135 (0.187) 
 Player: Opponent:  49.02% (G:0.00% B:0.00%) 50.98% (G:0.00% B:0.00%)  

4.  3ply  5/Off 3/2  eq: +0.172 (0.149) 
 Player: Opponent:  51.04% (G:0.00% B:0.00%) 48.96% (G:0.00% B:0.00%)  

5.  2ply  5/Off 2/1  eq: +0.125 (0.196) 
 Player: Opponent:  48.78% (G:0.00% B:0.00%) 51.22% (G:0.00% B:0.00%)  



21: 2/1 2/Off 


1.  4ply  2/1 2/Off  eq: 0.596 
 Player: Opponent:  31.98% (G:0.00% B:0.00%) 68.02% (G:0.00% B:0.00%)  

2.  4ply  5/4 2/Off  eq: 0.610 (0.014) 
 Player: Opponent:  31.48% (G:0.00% B:0.00%) 68.52% (G:0.00% B:0.00%)  

3.  4ply  6/5 2/Off  eq: 0.619 (0.022) 
 Player: Opponent:  31.19% (G:0.00% B:0.00%) 68.81% (G:0.00% B:0.00%)  

4.  4ply  6/4 2/1  eq: 0.653 (0.057) 
 Player: Opponent:  29.83% (G:0.00% B:0.00%) 70.17% (G:0.00% B:0.00%)  

5.  3ply  4/3 2/Off  eq: 0.687 (0.091) 
 Player: Opponent:  28.81% (G:0.00% B:0.00%) 71.19% (G:0.00% B:0.00%)  



No double 


Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
68.02% (G:0.00% B:0.00%) 
68.02% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
31.98% (G:0.00% B:0.00%) 
31.98% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.360 
+0.757 
Cubeful Equities 
No redouble:  +0.596  
Redouble/Take:  +0.487 (0.110)  
Redouble/Pass:  +1.000 (+0.404) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 17.6% 


21: 2/Off 1/Off 


1.  4ply  2/Off 1/Off  eq: +0.322 
 Player: Opponent:  56.82% (G:0.00% B:0.00%) 43.18% (G:0.00% B:0.00%)  

2.  4ply  6/5 2/Off  eq: +0.302 (0.020) 
 Player: Opponent:  55.99% (G:0.00% B:0.00%) 44.01% (G:0.00% B:0.00%)  

3.  4ply  6/4 1/Off  eq: +0.262 (0.060) 
 Player: Opponent:  54.30% (G:0.00% B:0.00%) 45.70% (G:0.00% B:0.00%)  

4.  4ply  3/Off  eq: +0.258 (0.064) 
 Player: Opponent:  54.20% (G:0.00% B:0.00%) 45.80% (G:0.00% B:0.00%)  

5.  4ply  6/5 6/4  eq: +0.235 (0.087) 
 Player: Opponent:  53.15% (G:0.00% B:0.00%) 46.85% (G:0.00% B:0.00%)  



62: 6/Off 2/Off 


1.  4ply  6/Off 2/Off  eq: 0.263 
 Player: Opponent:  45.19% (G:0.00% B:0.00%) 54.81% (G:0.00% B:0.00%)  

2.  4ply  6/4 6/Off  eq: 0.312 (0.049) 
 Player: Opponent:  43.11% (G:0.00% B:0.00%) 56.89% (G:0.00% B:0.00%)  

3.  3ply  6/Off 5/3  eq: 0.349 (0.086) 
 Player: Opponent:  41.82% (G:0.00% B:0.00%) 58.18% (G:0.00% B:0.00%)  

4.  2ply  6/Off 4/2  eq: 0.475 (0.212) 
 Player: Opponent:  35.69% (G:0.00% B:0.00%) 64.31% (G:0.00% B:0.00%)  



62: 6/Off 2/Off 


1.  4ply  6/Off 2/Off  eq: +0.306 
 Player: Opponent:  55.90% (G:0.00% B:0.00%) 44.10% (G:0.00% B:0.00%)  

2.  4ply  6/Off 3/1  eq: +0.271 (0.035) 
 Player: Opponent:  54.46% (G:0.00% B:0.00%) 45.54% (G:0.00% B:0.00%)  

3.  4ply  6/4 6/Off  eq: +0.251 (0.055) 
 Player: Opponent:  53.69% (G:0.00% B:0.00%) 46.31% (G:0.00% B:0.00%)  

4.  3ply  6/Off 4/2  eq: +0.177 (0.129) 
 Player: Opponent:  51.24% (G:0.00% B:0.00%) 48.76% (G:0.00% B:0.00%)  

5.  3ply  6/Off 5/3  eq: +0.129 (0.177) 
 Player: Opponent:  49.12% (G:0.00% B:0.00%) 50.88% (G:0.00% B:0.00%)  



62: 6/Off 2/Off 


1.  4ply  6/Off 2/Off  eq: 0.262 
 Player: Opponent:  45.00% (G:0.00% B:0.00%) 55.00% (G:0.00% B:0.00%)  

2.  4ply  6/Off 5/3  eq: 0.306 (0.043) 
 Player: Opponent:  43.39% (G:0.00% B:0.00%) 56.61% (G:0.00% B:0.00%)  

3.  4ply  6/4 6/Off  eq: 0.315 (0.053) 
 Player: Opponent:  43.00% (G:0.00% B:0.00%) 57.00% (G:0.00% B:0.00%)  

4.  2ply  6/Off 4/2  eq: 0.439 (0.177) 
 Player: Opponent:  37.19% (G:0.00% B:0.00%) 62.81% (G:0.00% B:0.00%)  



32: 3/1 3/Off 


1.  XG Roller++  6/4 3/Off  eq: +0.051 
 Player: Opponent:  45.43% (G:0.00% B:0.00%) 54.57% (G:0.00% B:0.00%)  

2.  XG Roller++  3/1 3/Off  eq: +0.034 (0.017) 
 Player: Opponent:  44.71% (G:0.00% B:0.00%) 55.29% (G:0.00% B:0.00%)  

3.  4ply  4/2 3/Off  eq: +0.034 (0.017) 
 Player: Opponent:  44.86% (G:0.00% B:0.00%) 55.14% (G:0.00% B:0.00%)  

4.  4ply  6/1  eq: 0.073 (0.124) 
 Player: Opponent:  40.02% (G:0.00% B:0.00%) 59.98% (G:0.00% B:0.00%)  

5.  3ply  5/Off  eq: 0.061 (0.112) 
 Player: Opponent:  41.17% (G:0.00% B:0.00%) 58.83% (G:0.00% B:0.00%)  



61: 6/Off 1/Off 


1.  4ply  6/Off 1/Off  eq: 0.029 
 Player: Opponent:  54.26% (G:0.00% B:0.00%) 45.74% (G:0.00% B:0.00%)  

2.  4ply  6/Off 5/4  eq: 0.101 (0.072) 
 Player: Opponent:  51.34% (G:0.00% B:0.00%) 48.66% (G:0.00% B:0.00%)  

3.  3ply  6/Off 4/3  eq: 0.184 (0.155) 
 Player: Opponent:  48.60% (G:0.00% B:0.00%) 51.40% (G:0.00% B:0.00%)  

4.  3ply  6/5 6/Off  eq: 0.193 (0.164) 
 Player: Opponent:  48.24% (G:0.00% B:0.00%) 51.76% (G:0.00% B:0.00%)  



31: 3/Off 1/Off 


1.  4ply  3/Off 1/Off  eq: 0.219 
 Player: Opponent:  34.44% (G:0.00% B:0.00%) 65.56% (G:0.00% B:0.00%)  

2.  4ply  6/3 1/Off  eq: 0.264 (0.045) 
 Player: Opponent:  32.29% (G:0.00% B:0.00%) 67.71% (G:0.00% B:0.00%)  

3.  4ply  6/5 3/Off  eq: 0.283 (0.064) 
 Player: Opponent:  31.51% (G:0.00% B:0.00%) 68.49% (G:0.00% B:0.00%)  

4.  4ply  4/Off  eq: 0.298 (0.079) 
 Player: Opponent:  30.97% (G:0.00% B:0.00%) 69.03% (G:0.00% B:0.00%)  

5.  4ply  6/2  eq: 0.329 (0.110) 
 Player: Opponent:  29.54% (G:0.00% B:0.00%) 70.46% (G:0.00% B:0.00%)  



31: 4/Off 


1.  4ply  4/Off  eq: 0.112 
 Player: Opponent:  50.09% (G:0.00% B:0.00%) 49.91% (G:0.00% B:0.00%)  

2.  4ply  6/3 5/4  eq: 0.133 (0.021) 
 Player: Opponent:  49.53% (G:0.00% B:0.00%) 50.47% (G:0.00% B:0.00%)  

3.  4ply  5/4 5/2  eq: 0.137 (0.025) 
 Player: Opponent:  49.29% (G:0.00% B:0.00%) 50.71% (G:0.00% B:0.00%)  

4.  4ply  5/1  eq: 0.161 (0.049) 
 Player: Opponent:  48.30% (G:0.00% B:0.00%) 51.70% (G:0.00% B:0.00%)  

5.  3ply  5/2 4/3  eq: 0.193 (0.081) 
 Player: Opponent:  48.15% (G:0.00% B:0.00%) 51.85% (G:0.00% B:0.00%)  



22: 4/Off(2) 


1.  4ply  4/Off(2)  eq: +0.187 
 Player: Opponent:  51.29% (G:0.00% B:0.00%) 48.71% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/2  eq: +0.147 (0.040) 
 Player: Opponent:  49.81% (G:0.00% B:0.00%) 50.19% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/3  eq: +0.102 (0.085) 
 Player: Opponent:  48.15% (G:0.00% B:0.00%) 51.85% (G:0.00% B:0.00%)  

4.  4ply  6/4 6/Off  eq: +0.101 (0.086) 
 Player: Opponent:  48.24% (G:0.00% B:0.00%) 51.76% (G:0.00% B:0.00%)  

5.  4ply  6/4 6/2 5/3  eq: 0.026 (0.213) 
 Player: Opponent:  42.73% (G:0.00% B:0.00%) 57.27% (G:0.00% B:0.00%)  



33: 6/Off(2) 


1.  4ply  6/Off(2)  eq: +0.311 
 Player: Opponent:  67.81% (G:0.00% B:0.00%) 32.19% (G:0.00% B:0.00%)  

2.  4ply  6/3 6/Off 5/2  eq: +0.233 (0.078) 
 Player: Opponent:  64.50% (G:0.00% B:0.00%) 35.50% (G:0.00% B:0.00%)  

3.  4ply  6/3(2) 5/2(2)  eq: +0.064 (0.247) 
 Player: Opponent:  57.41% (G:0.00% B:0.00%) 42.59% (G:0.00% B:0.00%)  

4.  3ply  6/Off 5/2(2)  eq: +0.169 (0.142) 
 Player: Opponent:  62.72% (G:0.00% B:0.00%) 37.28% (G:0.00% B:0.00%)  

5.  2ply  6/3 5/2(3)  eq: 0.050 (0.362) 
 Player: Opponent:  53.18% (G:0.00% B:0.00%) 46.82% (G:0.00% B:0.00%)  



21: 6/5 6/4 


1.  Rollout^{1}  6/4 5/4  eq: 0.733 
 Player: Opponent:  12.82% (G:0.00% B:0.00%) 87.18% (G:0.00% B:0.00%)  Conf.: ± 0.001 (0.734...0.732)  [100.0%] Duration: 0.1 second 

2.  Rollout^{1}  6/5 6/4  eq: 0.748 (0.015) 
 Player: Opponent:  12.37% (G:0.00% B:0.00%) 87.63% (G:0.00% B:0.00%)  Conf.: ± 0.001 (0.749...0.747)  [0.0%] Duration: 0.0 second 

3.  4ply  6/3  eq: 0.734 (0.001) 
 Player: Opponent:  12.65% (G:0.00% B:0.00%) 87.35% (G:0.00% B:0.00%)  

4.  3ply  5/2  eq: 0.813 (0.081) 
 Player: Opponent:  8.92% (G:0.00% B:0.00%) 91.08% (G:0.00% B:0.00%)  


^{1} 162 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



41: 5/Off 


1.  4ply  5/Off  eq: +0.651 
 Player: Opponent:  82.76% (G:0.00% B:0.00%) 17.24% (G:0.00% B:0.00%)  

2.  4ply  5/4 5/1  eq: +0.628 (0.024) 
 Player: Opponent:  81.58% (G:0.00% B:0.00%) 18.42% (G:0.00% B:0.00%)  



61: 6/Off 5/4 


1.  4ply  6/Off 5/4  eq: 0.760 
 Player: Opponent:  11.45% (G:0.00% B:0.00%) 88.55% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/3  eq: 0.807 (0.047) 
 Player: Opponent:  9.19% (G:0.00% B:0.00%) 90.81% (G:0.00% B:0.00%)  

3.  4ply  6/Off  eq: 0.819 (0.059) 
 Player: Opponent:  8.66% (G:0.00% B:0.00%) 91.34% (G:0.00% B:0.00%)  



62: 5/3 5/Off 


1.  3ply  5/3 5/Off  eq: +0.833 
 Player: Opponent:  91.67% (G:0.00% B:0.00%) 8.33% (G:0.00% B:0.00%)  



63: ???? 


1.  4ply  5/2 4/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  4ply  5/Off 4/1  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



Resigns a Single Game 2pts. 



