61: 13/7 8/7 


1.  Book^{1}  13/7 8/7  eq: +0.229 
 Player: Opponent:  53.46% (G:15.01% B:0.63%) 46.54% (G:11.83% B:0.51%)  

2.  Book^{1}  24/23 24/18  eq: +0.006 (0.223) 
 Player: Opponent:  49.01% (G:11.43% B:0.45%) 50.99% (G:13.88% B:0.46%)  

3.  2ply  24/23 13/7  eq: +0.002 (0.227) 
 Player: Opponent:  48.38% (G:13.07% B:0.50%) 51.62% (G:13.69% B:0.64%)  

4.  Book^{1}  13/6  eq: 0.025 (0.254) 
 Player: Opponent:  47.55% (G:13.28% B:0.59%) 52.45% (G:14.73% B:0.69%)  

5.  2ply  13/7 6/5  eq: 0.027 (0.256) 
 Player: Opponent:  48.25% (G:12.59% B:0.47%) 51.75% (G:15.00% B:1.04%)  


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



65: 13/8 13/7 


1.  4ply  13/8 13/7  eq: 0.411 
 Player: Opponent:  41.93% (G:11.04% B:0.49%) 58.07% (G:16.70% B:0.95%)  

2.  4ply  13/2  eq: 0.495 (0.084) 
 Player: Opponent:  40.43% (G:10.69% B:0.51%) 59.57% (G:18.94% B:1.08%)  

3.  3ply  13/7 8/3  eq: 0.576 (0.165) 
 Player: Opponent:  39.20% (G:9.81% B:0.46%) 60.80% (G:19.61% B:1.49%)  

4.  1ply  8/3 8/2  eq: 0.777 (0.366) 
 Player: Opponent:  36.52% (G:9.24% B:0.47%) 63.48% (G:22.99% B:2.30%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.07% (G:16.70% B:0.95%) 
58.08% (G:16.69% B:0.94%) 
Opponent Winning Chances: 
41.93% (G:11.04% B:0.49%) 
41.92% (G:11.04% B:0.49%) 
Cubeless Equities 
+0.246 
+0.539 
Cubeful Equities 
No double:  +0.411  
Double/Take:  +0.299 (0.112)  
Double/Pass:  +1.000 (+0.589) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.8% 


21: 13/11 6/5 


1.  Rollout^{1}  7/5 6/5  eq: +0.275 
 Player: Opponent:  54.29% (G:17.79% B:0.87%) 45.71% (G:13.82% B:1.18%)  Conf.: ± 0.017 (+0.258...+0.293)  [96.8%] Duration: 14 minutes 51 seconds 

2.  Rollout^{1}  13/11 6/5  eq: +0.251 (0.024) 
 Player: Opponent:  54.41% (G:16.14% B:0.88%) 45.59% (G:14.66% B:1.24%)  Conf.: ± 0.019 (+0.232...+0.270)  [3.2%] Duration: 15 minutes 35 seconds 

3.  3ply  13/10  eq: +0.116 (0.160) 
 Player: Opponent:  51.48% (G:14.70% B:0.72%) 48.52% (G:14.33% B:0.76%)  

4.  2ply  24/23 13/11  eq: +0.092 (0.183) 
 Player: Opponent:  51.22% (G:13.78% B:0.69%) 48.78% (G:14.77% B:0.67%)  

5.  2ply  24/21  eq: +0.090 (0.186) 
 Player: Opponent:  51.29% (G:12.69% B:0.58%) 48.71% (G:13.82% B:0.51%)  


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



64: 24/20* 20/14* 


1.  3ply  24/20* 20/14*  eq: +0.367 
 Player: Opponent:  58.16% (G:21.98% B:2.04%) 41.84% (G:9.16% B:0.46%)  

2.  2ply  24/20* 13/7  eq: +0.136 (0.231) 
 Player: Opponent:  53.56% (G:17.62% B:1.20%) 46.44% (G:10.99% B:0.51%)  

3.  1ply  24/20* 8/2  eq: 0.298 (0.665) 
 Player: Opponent:  44.18% (G:13.10% B:1.01%) 55.82% (G:16.44% B:1.21%)  

4.  1ply  13/7 8/4  eq: 0.495 (0.862) 
 Player: Opponent:  39.49% (G:11.42% B:0.75%) 60.51% (G:18.47% B:1.27%)  

5.  1ply  13/7 6/2  eq: 0.544 (0.911) 
 Player: Opponent:  38.32% (G:10.83% B:0.67%) 61.68% (G:18.77% B:1.31%)  



33: Bar/22(2) 24/18* 


1.  3ply  Bar/22(2) 24/18*  eq: +0.103 
 Player: Opponent:  51.38% (G:13.13% B:0.58%) 48.62% (G:13.43% B:0.46%)  

2.  2ply  Bar/22(2) 8/5(2)  eq: 0.116 (0.219) 
 Player: Opponent:  46.20% (G:11.99% B:0.57%) 53.80% (G:16.66% B:1.08%)  

3.  2ply  Bar/22(2) 24/21(2)  eq: 0.118 (0.221) 
 Player: Opponent:  46.15% (G:10.50% B:0.46%) 53.85% (G:15.32% B:0.46%)  

4.  2ply  Bar/22(2) 6/3(2)  eq: 0.200 (0.303) 
 Player: Opponent:  44.62% (G:10.87% B:0.55%) 55.38% (G:18.13% B:1.19%)  

5.  2ply  Bar/22(2) 24/21 13/10  eq: 0.214 (0.317) 
 Player: Opponent:  44.62% (G:10.50% B:0.56%) 55.38% (G:19.08% B:0.93%)  



32: Bar/22 24/22 


1.  XG Roller++  Bar/22 24/22  eq: 0.195 
 Player: Opponent:  46.44% (G:12.29% B:0.44%) 53.56% (G:13.43% B:0.54%)  

2.  XG Roller++  Bar/23 24/21  eq: 0.196 (0.000) 
 Player: Opponent:  46.74% (G:12.43% B:0.45%) 53.26% (G:13.93% B:0.61%)  

3.  XG Roller++  Bar/20  eq: 0.224 (0.029) 
 Player: Opponent:  46.20% (G:12.78% B:0.48%) 53.80% (G:14.31% B:0.71%)  

4.  4ply  Bar/23 14/11  eq: 0.239 (0.043) 
 Player: Opponent:  45.81% (G:12.22% B:0.43%) 54.19% (G:15.13% B:0.72%)  

5.  3ply  Bar/22 8/6  eq: 0.274 (0.078) 
 Player: Opponent:  44.73% (G:12.17% B:0.48%) 55.27% (G:15.12% B:0.74%)  



61: 24/18 6/5 


1.  3ply  24/18 6/5  eq: +0.122 
 Player: Opponent:  52.18% (G:12.55% B:0.48%) 47.82% (G:13.16% B:0.42%)  

2.  3ply  24/18 22/21  eq: +0.039 (0.083) 
 Player: Opponent:  50.39% (G:11.03% B:0.36%) 49.61% (G:13.53% B:0.37%)  

3.  3ply  13/7 6/5  eq: 0.006 (0.128) 
 Player: Opponent:  49.67% (G:12.01% B:0.48%) 50.33% (G:16.49% B:0.72%)  

4.  3ply  24/23 13/7  eq: 0.044 (0.166) 
 Player: Opponent:  48.14% (G:11.52% B:0.42%) 51.86% (G:15.03% B:0.55%)  

5.  2ply  13/6  eq: 0.071 (0.193) 
 Player: Opponent:  47.17% (G:11.62% B:0.45%) 52.83% (G:15.06% B:0.64%)  



66: 22/16(2) 14/2 


1.  Rollout^{1}  22/10(2)  eq: +0.278 
 Player: Opponent:  58.24% (G:12.23% B:0.43%) 41.76% (G:8.97% B:0.40%)  Conf.: ± 0.016 (+0.262...+0.294)  [100.0%] Duration: 16 minutes 30 seconds 

2.  Rollout^{1}  22/16(2) 14/2  eq: +0.130 (0.148) 
 Player: Opponent:  54.83% (G:12.41% B:0.39%) 45.17% (G:11.63% B:0.40%)  Conf.: ± 0.014 (+0.116...+0.144)  [0.0%] Duration: 13 minutes 38 seconds 

3.  2ply  22/16(2) 8/2(2)  eq: 0.011 (0.289) 
 Player: Opponent:  51.40% (G:13.01% B:0.31%) 48.60% (G:12.52% B:0.40%)  

4.  2ply  22/16 22/10 14/8  eq: 0.112 (0.390) 
 Player: Opponent:  48.64% (G:12.38% B:0.41%) 51.36% (G:12.89% B:0.51%)  

5.  1ply  22/4 14/8  eq: 0.095 (0.373) 
 Player: Opponent:  48.29% (G:13.85% B:0.42%) 51.71% (G:12.22% B:0.46%)  


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



31: 13/10 6/5 


1.  Rollout^{1}  13/10 6/5  eq: 0.099 (+0.001) 
 Player: Opponent:  46.07% (G:11.74% B:0.46%) 53.93% (G:13.10% B:0.47%)  Conf.: ± 0.015 (0.113...0.084)  [54.1%] Duration: 12 minutes 26 seconds 

2.  Rollout^{1}  7/4 6/5  eq: 0.100 
 Player: Opponent:  45.97% (G:11.95% B:0.45%) 54.03% (G:12.73% B:0.40%)  Conf.: ± 0.015 (0.115...0.085)  [45.9%] Duration: 13 minutes 20 seconds 

3.  4ply  8/5 6/5  eq: 0.143 (0.043) 
 Player: Opponent:  44.44% (G:10.49% B:0.28%) 55.56% (G:12.79% B:0.32%)  

4.  3ply  8/5 7/6  eq: 0.148 (0.048) 
 Player: Opponent:  44.16% (G:10.89% B:0.32%) 55.84% (G:12.92% B:0.27%)  

5.  3ply  7/4 5/4  eq: 0.152 (0.052) 
 Player: Opponent:  44.16% (G:10.58% B:0.33%) 55.84% (G:12.97% B:0.28%)  


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



52: 13/6 


1.  XG Roller++  13/6  eq: +0.017 
 Player: Opponent:  52.54% (G:11.72% B:0.27%) 47.46% (G:11.75% B:0.40%)  

2.  XG Roller++  13/8 6/4  eq: 0.010 (0.027) 
 Player: Opponent:  52.03% (G:12.06% B:0.31%) 47.97% (G:12.66% B:0.43%)  

3.  4ply  8/1  eq: 0.047 (0.064) 
 Player: Opponent:  50.89% (G:12.67% B:0.26%) 49.11% (G:13.53% B:0.50%)  

4.  3ply  6/4 6/1  eq: 0.064 (0.081) 
 Player: Opponent:  50.54% (G:11.99% B:0.28%) 49.46% (G:13.43% B:0.38%)  

5.  2ply  13/11 6/1  eq: 0.201 (0.218) 
 Player: Opponent:  46.95% (G:12.16% B:0.27%) 53.05% (G:15.29% B:0.63%)  



53: 10/5 7/4 


1.  Rollout^{1}  8/3 7/4  eq: 0.027 
 Player: Opponent:  47.99% (G:12.67% B:0.45%) 52.01% (G:13.43% B:0.39%)  Conf.: ± 0.016 (0.043...0.012)  [69.1%] Duration: 11 minutes 13 seconds 

2.  Rollout^{1}  10/5 7/4  eq: 0.033 (0.005) 
 Player: Opponent:  47.32% (G:12.60% B:0.48%) 52.68% (G:12.34% B:0.55%)  Conf.: ± 0.015 (0.048...0.017)  [30.9%] Duration: 11 minutes 35 seconds 

3.  XG Roller++  13/8 7/4  eq: 0.044 (0.017) 
 Player: Opponent:  47.44% (G:11.32% B:0.33%) 52.56% (G:13.63% B:0.46%)  

4.  XG Roller++  13/5  eq: 0.055 (0.028) 
 Player: Opponent:  46.60% (G:11.35% B:0.35%) 53.40% (G:12.50% B:0.34%)  

5.  XG Roller++  8/5 8/3  eq: 0.092 (0.065) 
 Player: Opponent:  45.79% (G:11.28% B:0.30%) 54.21% (G:13.25% B:0.42%)  


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



31: 8/5 6/5 


1.  3ply  8/5 6/5  eq: +0.283 
 Player: Opponent:  59.41% (G:12.55% B:0.32%) 40.59% (G:8.79% B:0.21%)  

2.  2ply  6/2  eq: 0.001 (0.284) 
 Player: Opponent:  52.38% (G:11.49% B:0.23%) 47.62% (G:12.80% B:0.38%)  

3.  1ply  8/4  eq: 0.049 (0.332) 
 Player: Opponent:  51.17% (G:12.19% B:0.35%) 48.83% (G:13.94% B:0.65%)  

4.  1ply  8/5 2/1  eq: 0.071 (0.354) 
 Player: Opponent:  50.62% (G:12.13% B:0.34%) 49.38% (G:14.25% B:0.63%)  

5.  1ply  16/15 16/13  eq: 0.137 (0.419) 
 Player: Opponent:  48.65% (G:11.00% B:0.27%) 51.35% (G:13.69% B:0.51%)  



32: 7/4 5/3 


1.  XG Roller++  7/4 5/3  eq: 0.259 
 Player: Opponent:  41.55% (G:8.86% B:0.22%) 58.45% (G:12.79% B:0.34%)  

2.  XG Roller++  8/6 7/4  eq: 0.300 (0.041) 
 Player: Opponent:  40.52% (G:8.94% B:0.21%) 59.48% (G:13.39% B:0.37%)  

3.  3ply  13/11 7/4  eq: 0.335 (0.076) 
 Player: Opponent:  40.08% (G:8.21% B:0.33%) 59.92% (G:14.45% B:0.39%)  

4.  3ply  8/3  eq: 0.335 (0.076) 
 Player: Opponent:  39.70% (G:8.51% B:0.28%) 60.30% (G:14.19% B:0.46%)  

5.  3ply  18/16 7/4  eq: 0.359 (0.100) 
 Player: Opponent:  39.65% (G:8.50% B:0.30%) 60.35% (G:15.21% B:0.35%)  



41: 6/5 6/2 


1.  4ply  6/5 6/2  eq: +0.268 
 Player: Opponent:  58.84% (G:12.62% B:0.33%) 41.16% (G:8.71% B:0.26%)  

2.  4ply  6/1  eq: +0.190 (0.078) 
 Player: Opponent:  57.07% (G:12.62% B:0.25%) 42.93% (G:10.39% B:0.36%)  

3.  2ply  8/4 6/5  eq: +0.104 (0.163) 
 Player: Opponent:  54.60% (G:14.41% B:0.47%) 45.40% (G:12.42% B:0.45%)  

4.  2ply  8/4 2/1  eq: 0.009 (0.277) 
 Player: Opponent:  52.01% (G:13.72% B:0.38%) 47.99% (G:14.17% B:0.50%)  

5.  2ply  8/4 5/4  eq: 0.025 (0.293) 
 Player: Opponent:  51.68% (G:13.04% B:0.38%) 48.32% (G:14.06% B:0.47%)  



31: 8/7 8/5 


1.  XG Roller++  8/7 8/5  eq: 0.319 
 Player: Opponent:  40.36% (G:8.47% B:0.21%) 59.64% (G:13.97% B:0.43%)  

2.  XG Roller++  8/7 6/3  eq: 0.327 (0.008) 
 Player: Opponent:  40.33% (G:8.25% B:0.22%) 59.67% (G:14.40% B:0.50%)  

3.  XG Roller++  8/5 4/3  eq: 0.336 (0.017) 
 Player: Opponent:  39.85% (G:8.33% B:0.19%) 60.15% (G:14.04% B:0.43%)  

4.  XG Roller++  8/4  eq: 0.342 (0.023) 
 Player: Opponent:  39.91% (G:8.50% B:0.20%) 60.09% (G:14.76% B:0.47%)  

5.  3ply  8/5 3/2  eq: 0.362 (0.043) 
 Player: Opponent:  39.26% (G:8.59% B:0.24%) 60.74% (G:15.19% B:0.45%)  



61: 8/1 


1.  3ply  8/1  eq: +0.163 
 Player: Opponent:  55.96% (G:14.37% B:0.29%) 44.04% (G:11.30% B:0.30%)  

2.  3ply  16/15 16/10  eq: +0.055 (0.107) 
 Player: Opponent:  53.10% (G:14.80% B:0.65%) 46.90% (G:12.91% B:0.37%)  

3.  3ply  8/2 6/5  eq: +0.037 (0.126) 
 Player: Opponent:  52.75% (G:13.09% B:0.32%) 47.25% (G:12.14% B:0.34%)  

4.  3ply  8/2 5/4  eq: +0.005 (0.157) 
 Player: Opponent:  52.05% (G:16.08% B:0.49%) 47.95% (G:14.65% B:0.44%)  

5.  2ply  16/9  eq: 0.108 (0.271) 
 Player: Opponent:  48.54% (G:18.40% B:1.06%) 51.46% (G:17.66% B:0.66%)  



64: 7/1 5/1 


1.  Rollout^{1}  13/3  eq: 0.193 
 Player: Opponent:  44.11% (G:11.99% B:0.43%) 55.89% (G:15.62% B:0.48%)  Conf.: ± 0.014 (0.207...0.178)  [100.0%] Duration: 7 minutes 20 seconds 

2.  Rollout^{1}  7/1 5/1  eq: 0.452 (0.260) 
 Player: Opponent:  38.39% (G:9.63% B:0.24%) 61.61% (G:19.25% B:0.65%)  Conf.: ± 0.014 (0.466...0.439)  [0.0%] Duration: 7 minutes 24 seconds 

3.  3ply  22/16 7/3  eq: 0.248 (0.055) 
 Player: Opponent:  43.80% (G:13.60% B:0.43%) 56.20% (G:25.21% B:0.36%)  

4.  2ply  22/18 22/16  eq: 0.351 (0.158) 
 Player: Opponent:  40.03% (G:9.88% B:0.30%) 59.97% (G:19.22% B:0.33%)  

5.  2ply  18/8  eq: 0.370 (0.177) 
 Player: Opponent:  39.06% (G:9.50% B:0.37%) 60.94% (G:16.65% B:0.45%)  


^{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: 
62.07% (G:17.74% B:0.43%) 
62.12% (G:17.56% B:0.42%) 
Opponent Winning Chances: 
37.93% (G:9.33% B:0.12%) 
37.88% (G:9.26% B:0.12%) 
Cubeless Equities 
+0.317 
+0.684 
Cubeful Equities 
No double:  +0.429  
Double/Take:  +0.297 (0.132)  
Double/Pass:  +1.000 (+0.571) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.8% 


64: 16/6 


1.  3ply  16/6  eq: +0.260 
 Player: Opponent:  58.04% (G:16.44% B:0.46%) 41.96% (G:10.38% B:0.12%)  

2.  2ply  16/10 5/1  eq: +0.101 (0.159) 
 Player: Opponent:  54.59% (G:19.76% B:0.75%) 45.41% (G:17.41% B:0.46%)  

3.  2ply  8/2 5/1  eq: +0.076 (0.184) 
 Player: Opponent:  52.71% (G:19.83% B:0.53%) 47.29% (G:15.12% B:0.30%)  

4.  2ply  8/4 8/2  eq: +0.059 (0.201) 
 Player: Opponent:  52.98% (G:17.73% B:0.39%) 47.02% (G:14.94% B:0.38%)  

5.  1ply  16/10 6/2  eq: 0.265 (0.525) 
 Player: Opponent:  46.90% (G:16.31% B:0.41%) 53.10% (G:23.14% B:0.76%)  



42: 13/11 13/9* 


1.  3ply  13/11 13/9*  eq: 0.016 
 Player: Opponent:  49.37% (G:14.67% B:0.32%) 50.63% (G:19.64% B:0.69%)  

2.  3ply  13/9* 9/7  eq: 0.096 (0.080) 
 Player: Opponent:  47.72% (G:14.11% B:0.33%) 52.28% (G:21.73% B:0.85%)  

3.  3ply  13/9* 5/3  eq: 0.111 (0.095) 
 Player: Opponent:  47.14% (G:13.91% B:0.31%) 52.86% (G:21.66% B:0.88%)  

4.  2ply  18/16 13/9*  eq: 0.264 (0.248) 
 Player: Opponent:  44.93% (G:13.74% B:0.21%) 55.07% (G:28.53% B:2.17%)  

5.  2ply  13/9* 3/1  eq: 0.325 (0.310) 
 Player: Opponent:  41.46% (G:8.02% B:0.08%) 58.54% (G:17.10% B:0.45%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 0.467 
 Player: Opponent:  40.86% (G:12.37% B:0.35%) 59.14% (G:19.14% B:0.14%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.97% (G:19.84% B:0.31%) 
58.97% (G:20.19% B:0.39%) 
Opponent Winning Chances: 
41.03% (G:12.69% B:0.38%) 
41.03% (G:13.17% B:0.42%) 
Cubeless Equities 
+0.277 
+0.584 
Cubeful Equities 
No double:  +0.474  
Double/Take:  +0.383 (0.091)  
Double/Pass:  +1.000 (+0.526) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.9% 


42: 9/3 


1.  3ply  9/3  eq: +0.745 
 Player: Opponent:  63.86% (G:20.31% B:0.24%) 36.14% (G:8.91% B:0.26%)  

2.  1ply  11/7 9/7  eq: +0.088 (0.656) 
 Player: Opponent:  50.84% (G:15.17% B:0.32%) 49.16% (G:15.44% B:0.41%)  

3.  1ply  11/5  eq: +0.021 (0.724) 
 Player: Opponent:  49.44% (G:15.28% B:0.30%) 50.56% (G:17.47% B:0.67%)  

4.  1ply  18/14 11/9  eq: 0.028 (0.773) 
 Player: Opponent:  49.21% (G:15.58% B:0.25%) 50.79% (G:21.35% B:1.04%)  

5.  1ply  11/7 5/3  eq: 0.078 (0.823) 
 Player: Opponent:  47.72% (G:14.20% B:0.29%) 52.28% (G:19.88% B:0.98%)  



32: Bar/23 5/2 


1.  3ply  Bar/23 5/2  eq: 0.268 
 Player: Opponent:  45.84% (G:11.79% B:0.26%) 54.16% (G:16.48% B:0.20%)  

2.  1ply  Bar/23 8/5  eq: 1.000 (0.732) 
 Player: Opponent:  31.70% (G:10.63% B:0.37%) 68.30% (G:35.22% B:0.93%)  

3.  1ply  Bar/23 13/10  eq: 1.132 (0.864) 
 Player: Opponent:  25.55% (G:9.23% B:0.40%) 74.45% (G:45.36% B:2.59%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
54.37% (G:16.73% B:0.37%) 
54.33% (G:16.72% B:0.38%) 
Opponent Winning Chances: 
45.63% (G:11.96% B:0.27%) 
45.67% (G:11.89% B:0.27%) 
Cubeless Equities 
+0.159 
+0.344 
Cubeful Equities 
No double:  +0.268  
Double/Take:  +0.086 (0.182)  
Double/Pass:  +1.000 (+0.732) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.6% 


31: 11/7 


1.  Rollout^{1}  22/18  eq: +0.029 (+0.004) 
 Player: Opponent:  50.74% (G:16.28% B:0.42%) 49.26% (G:17.91% B:0.20%)  Conf.: ± 0.011 (+0.018...+0.040)  [66.1%] Duration: 4 minutes 55 seconds 

2.  Rollout^{1}  11/7  eq: +0.025 
 Player: Opponent:  49.67% (G:15.27% B:0.36%) 50.33% (G:15.48% B:0.39%)  Conf.: ± 0.013 (+0.012...+0.039)  [33.9%] Duration: 5 minutes 23 seconds 

3.  4ply  11/8 3/2*  eq: 0.017 (0.042) 
 Player: Opponent:  49.36% (G:15.39% B:0.18%) 50.64% (G:21.78% B:0.70%)  

4.  3ply  18/15 11/10  eq: 0.038 (0.063) 
 Player: Opponent:  47.95% (G:16.11% B:0.76%) 52.05% (G:19.33% B:0.61%)  

5.  3ply  18/14  eq: 0.092 (0.117) 
 Player: Opponent:  47.24% (G:15.09% B:0.65%) 52.76% (G:20.25% B:0.63%)  


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



31: 6/2 


1.  3ply  6/2  eq: 0.500 
 Player: Opponent:  39.81% (G:11.67% B:0.30%) 60.19% (G:20.15% B:0.25%)  

2.  1ply  8/5 2/1  eq: 0.774 (0.274) 
 Player: Opponent:  36.76% (G:12.53% B:0.31%) 63.24% (G:28.15% B:0.43%)  

3.  1ply  5/1  eq: 1.000 (0.500) 
 Player: Opponent:  31.62% (G:9.03% B:0.19%) 68.38% (G:33.92% B:0.48%)  

4.  1ply  8/5 6/5  eq: 1.000 (0.500) 
 Player: Opponent:  30.36% (G:10.09% B:0.31%) 69.64% (G:37.39% B:0.93%)  

5.  1ply  5/4 5/2  eq: 1.054 (0.554) 
 Player: Opponent:  26.79% (G:7.14% B:0.21%) 73.21% (G:39.59% B:0.70%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
60.37% (G:21.16% B:0.44%) 
60.54% (G:21.73% B:0.52%) 
Opponent Winning Chances: 
39.63% (G:12.82% B:0.28%) 
39.46% (G:13.66% B:0.34%) 
Cubeless Equities 
+0.322 
+0.678 
Cubeful Equities 
No double:  +0.488 (0.019)  
Double/Take:  +0.507  
Double/Pass:  +1.000 (+0.493) 

Best Cube action: Double / Take 


63: 18/9 


1.  Rollout^{1}  22/16 7/4  eq: +0.248 
 Player: Opponent:  54.63% (G:18.02% B:0.59%) 45.37% (G:13.79% B:0.18%)  Conf.: ± 0.013 (+0.235...+0.261)  [100.0%] Duration: 3 minutes 51 seconds 

2.  Rollout^{1}  18/9  eq: +0.134 (0.114) 
 Player: Opponent:  51.87% (G:18.54% B:0.87%) 48.14% (G:16.19% B:0.48%)  Conf.: ± 0.011 (+0.123...+0.144)  [0.0%] Duration: 3 minutes 20 seconds 

3.  XG Roller++  22/13  eq: +0.218 (0.030) 
 Player: Opponent:  54.79% (G:17.48% B:0.30%) 45.21% (G:16.06% B:0.36%)  

4.  1ply  18/15 7/1  eq: 0.079 (0.327) 
 Player: Opponent:  46.15% (G:12.74% B:0.40%) 53.85% (G:14.40% B:0.37%)  

5.  1ply  22/16 5/2*  eq: 0.112 (0.359) 
 Player: Opponent:  48.95% (G:14.87% B:0.25%) 51.05% (G:27.02% B:1.54%)  


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



66: 23/11 13/7* 7/1 


1.  3ply  23/11 13/7* 7/1  eq: +0.690 
 Player: Opponent:  68.43% (G:11.80% B:0.16%) 31.57% (G:3.64% B:0.06%)  

2.  2ply  23/17 13/7*(2) 7/1  eq: +0.412 (0.278) 
 Player: Opponent:  60.92% (G:18.16% B:0.30%) 39.08% (G:8.80% B:0.30%)  

3.  1ply  23/11 13/7*(2)  eq: +0.302 (0.388) 
 Player: Opponent:  60.89% (G:9.54% B:0.20%) 39.11% (G:8.12% B:0.06%)  

4.  1ply  13/7*(2) 7/1(2)  eq: +0.232 (0.458) 
 Player: Opponent:  53.61% (G:20.64% B:0.35%) 46.39% (G:6.54% B:0.04%)  

5.  1ply  23/17 13/7* 8/2 7/1  eq: +0.053 (0.637) 
 Player: Opponent:  53.25% (G:16.79% B:0.32%) 46.75% (G:14.96% B:0.70%)  



54: Bar/21 9/4 


1.  Rollout^{1}  Bar/16  eq: 0.583 
 Player: Opponent:  34.58% (G:2.89% B:0.07%) 65.42% (G:9.78% B:0.08%)  Conf.: ± 0.008 (0.592...0.575)  [98.9%] Duration: 3 minutes 23 seconds 

2.  Rollout^{1}  Bar/21 9/4  eq: 0.598 (0.014) 
 Player: Opponent:  33.29% (G:3.12% B:0.10%) 66.71% (G:9.19% B:0.07%)  Conf.: ± 0.009 (0.607...0.589)  [1.1%] Duration: 3 minutes 23 seconds 

3.  XG Roller++  Bar/21 7/2  eq: 0.590 (0.006) 
 Player: Opponent:  33.57% (G:3.98% B:0.10%) 66.43% (G:11.45% B:0.14%)  

4.  1ply  Bar/21 6/1  eq: 1.000 (0.417) 
 Player: Opponent:  24.46% (G:2.64% B:0.07%) 75.54% (G:16.76% B:0.36%)  


^{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: 
66.58% (G:9.15% B:0.08%) 
66.55% (G:9.12% B:0.08%) 
Opponent Winning Chances: 
33.42% (G:3.15% B:0.10%) 
33.45% (G:3.11% B:0.09%) 
Cubeless Equities 
+0.387 
+0.784 
Cubeful Equities 
No double:  +0.576  
Double/Take:  +0.519 (0.058)  
Double/Pass:  +1.000 (+0.424) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.7% 


55: 13/8 11/1 6/1 


1.  3ply  13/8 11/1 6/1  eq: +0.281 
 Player: Opponent:  60.54% (G:5.25% B:0.03%) 39.46% (G:3.80% B:0.03%)  

2.  1ply  13/8 6/1(3)  eq: 0.282 (0.563) 
 Player: Opponent:  44.70% (G:4.98% B:0.05%) 55.30% (G:10.96% B:0.11%)  

3.  1ply  11/1 6/1(2)  eq: 1.003 (1.284) 
 Player: Opponent:  26.39% (G:3.91% B:0.05%) 73.61% (G:30.67% B:0.75%)  



31: 7/3 


1.  XG Roller++  7/3  eq: 0.278 
 Player: Opponent:  41.80% (G:4.22% B:0.11%) 58.20% (G:8.31% B:0.03%)  

2.  XG Roller++  21/18 7/6  eq: 0.310 (0.032) 
 Player: Opponent:  41.38% (G:4.18% B:0.11%) 58.62% (G:7.34% B:0.02%)  

3.  XG Roller++  21/18 4/3  eq: 0.322 (0.044) 
 Player: Opponent:  40.91% (G:4.23% B:0.11%) 59.09% (G:7.93% B:0.03%)  

4.  4ply  7/6 4/1  eq: 0.339 (0.061) 
 Player: Opponent:  38.94% (G:3.76% B:0.06%) 61.06% (G:9.22% B:0.05%)  

5.  3ply  21/18 3/2  eq: 0.390 (0.112) 
 Player: Opponent:  38.60% (G:4.00% B:0.07%) 61.40% (G:10.55% B:0.09%)  



21: 8/6 2/1 


1.  Rollout^{1}  8/5  eq: +0.591 
 Player: Opponent:  67.24% (G:6.93% B:0.03%) 32.76% (G:2.64% B:0.07%)  Conf.: ± 0.007 (+0.584...+0.598)  [100.0%] Duration: 2 minutes 06 seconds 

2.  Rollout^{1}  8/6 2/1  eq: +0.564 (0.027) 
 Player: Opponent:  65.52% (G:6.25% B:0.03%) 34.48% (G:1.83% B:0.04%)  Conf.: ± 0.007 (+0.558...+0.571)  [0.0%] Duration: 2 minutes 03 seconds 

3.  1ply  6/5 6/4*  eq: 0.019 (0.611) 
 Player: Opponent:  50.32% (G:8.38% B:0.09%) 49.68% (G:6.97% B:0.02%)  

4.  1ply  5/4* 4/2  eq: 0.404 (0.995) 
 Player: Opponent:  39.79% (G:6.68% B:0.07%) 60.21% (G:10.25% B:0.03%)  

5.  1ply  6/4* 2/1  eq: 0.951 (1.542) 
 Player: Opponent:  33.56% (G:6.56% B:0.09%) 66.44% (G:25.09% B:0.28%)  


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



21: 4/2 3/2 


1.  3ply  4/2 3/2  eq: 0.378 
 Player: Opponent:  42.25% (G:3.51% B:0.08%) 57.75% (G:10.48% B:0.05%)  

2.  1ply  22/21 4/2  eq: 0.735 (0.357) 
 Player: Opponent:  30.40% (G:3.37% B:0.11%) 69.60% (G:13.86% B:0.06%)  

3.  1ply  4/1  eq: 0.740 (0.362) 
 Player: Opponent:  30.44% (G:2.51% B:0.06%) 69.56% (G:13.38% B:0.09%)  

4.  1ply  3/2 3/1  eq: 0.919 (0.541) 
 Player: Opponent:  28.04% (G:2.33% B:0.05%) 71.96% (G:15.39% B:0.12%)  

5.  1ply  22/21 3/1  eq: 0.926 (0.548) 
 Player: Opponent:  27.04% (G:2.46% B:0.07%) 72.96% (G:13.72% B:0.05%)  



51: 6/1 2/1 


1.  3ply  6/1 2/1  eq: +0.338 
 Player: Opponent:  62.57% (G:5.53% B:0.01%) 37.43% (G:4.19% B:0.04%)  

2.  1ply  8/2  eq: 0.543 (0.881) 
 Player: Opponent:  34.45% (G:4.55% B:0.05%) 65.55% (G:6.92% B:0.03%)  

3.  1ply  6/5 6/1  eq: 0.741 (1.079) 
 Player: Opponent:  31.74% (G:3.89% B:0.03%) 68.26% (G:9.97% B:0.04%)  

4.  1ply  6/1 5/4*  eq: 1.054 (1.392) 
 Player: Opponent:  22.36% (G:4.86% B:0.04%) 77.64% (G:30.81% B:0.43%)  

5.  1ply  8/7 6/1  eq: 1.088 (1.426) 
 Player: Opponent:  22.36% (G:3.48% B:0.04%) 77.64% (G:33.88% B:0.69%)  



55: 21/1 


1.  3ply  21/1  eq: 0.399 
 Player: Opponent:  35.90% (G:3.47% B:0.05%) 64.10% (G:1.37% B:0.00%)  

2.  1ply  21/11 6/1(2)  eq: 0.779 (0.380) 
 Player: Opponent:  25.27% (G:0.94% B:0.01%) 74.73% (G:2.85% B:0.02%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.84% (G:1.32% B:0.00%) 
63.85% (G:1.32% B:0.00%) 
Opponent Winning Chances: 
36.16% (G:3.42% B:0.06%) 
36.15% (G:3.42% B:0.06%) 
Cubeless Equities 
+0.250 
+0.453 
Cubeful Equities 
No double:  +0.391  
Double/Take:  +0.212 (0.179)  
Double/Pass:  +1.000 (+0.609) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 18.5% 


44: 8/4(2) 6/2(2) 


1.  XG Roller++  8/4(2) 6/2(2)  eq: +1.000 
 Player: Opponent:  90.50% (G:1.79% B:0.00%) 9.50% (G:0.00% B:0.00%)  

2.  XG Roller++  8/Off(2)  eq: +1.000 
 Player: Opponent:  83.32% (G:3.86% B:0.01%) 16.68% (G:0.00% B:0.00%)  

3.  XG Roller++  8/4(2) 5/1(2)  eq: +1.000 
 Player: Opponent:  82.08% (G:1.29% B:0.00%) 17.92% (G:0.28% B:0.01%)  

4.  1ply  6/2(2) 5/1(2)  eq: +0.338 (0.662) 
 Player: Opponent:  63.28% (G:0.72% B:0.00%) 36.72% (G:2.06% B:0.00%)  

5.  1ply  8/4 8/Off 6/2  eq: 0.348 (1.348) 
 Player: Opponent:  39.07% (G:0.87% B:0.00%) 60.93% (G:0.00% B:0.00%)  



21: 6/3 


1.  XG Roller++  6/3  eq: 1.000 
 Player: Opponent:  7.47% (G:0.01% B:0.00%) 92.53% (G:6.18% B:0.01%)  

2.  XG Roller++  5/2  eq: 1.000 
 Player: Opponent:  7.41% (G:0.00% B:0.00%) 92.59% (G:6.06% B:0.01%)  

3.  XG Roller++  4/1  eq: 1.000 
 Player: Opponent:  7.39% (G:0.00% B:0.00%) 92.61% (G:6.04% B:0.01%)  

4.  XG Roller++  6/5 6/4  eq: 1.000 
 Player: Opponent:  6.76% (G:0.00% B:0.00%) 93.24% (G:5.45% B:0.00%)  

5.  XG Roller++  3/2 3/1  eq: 1.000 
 Player: Opponent:  7.00% (G:0.00% B:0.00%) 93.00% (G:5.94% B:0.00%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
92.38% (G:6.28% B:0.01%) 
92.96% (G:6.12% B:0.01%) 
Opponent Winning Chances: 
7.62% (G:0.01% B:0.00%) 
7.04% (G:0.01% B:0.00%) 
Cubeless Equities 
+0.911 
+1.875 
Cubeful Equities 
No double:  +0.979 (0.021)  
Double/Take:  +1.791 (+0.791)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



