61: 13/7 8/7 


1.  Book^{1}  13/7 8/7  eq: +0.152 
 Player: Opponent:  53.47% (G:14.98% B:0.65%) 46.53% (G:11.85% B:0.51%)  

2.  2ply  24/23 13/7  eq: 0.057 (0.209) 
 Player: Opponent:  48.38% (G:13.07% B:0.50%) 51.62% (G:13.69% B:0.64%)  

3.  Book^{1}  24/23 24/18  eq: 0.060 (0.212) 
 Player: Opponent:  49.03% (G:11.71% B:0.48%) 50.97% (G:14.23% B:0.48%)  

4.  2ply  13/7 6/5  eq: 0.086 (0.238) 
 Player: Opponent:  48.25% (G:12.59% B:0.47%) 51.75% (G:15.00% B:1.04%)  

5.  Book^{1}  13/6  eq: 0.095 (0.247) 
 Player: Opponent:  47.51% (G:13.30% B:0.61%) 52.49% (G:14.69% B:0.67%)  


^{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.  5ply  13/8 13/7  eq: 0.320 
 Player: Opponent:  42.01% (G:11.14% B:0.52%) 57.99% (G:16.58% B:0.94%)  

2.  5ply  13/2  eq: 0.399 (0.079) 
 Player: Opponent:  40.56% (G:10.69% B:0.52%) 59.44% (G:18.66% B:1.08%)  

3.  3ply  13/7 8/3  eq: 0.461 (0.141) 
 Player: Opponent:  39.18% (G:9.83% B:0.45%) 60.82% (G:19.47% B:1.48%)  

4.  2ply  8/3 8/2  eq: 0.636 (0.316) 
 Player: Opponent:  35.32% (G:8.41% B:0.32%) 64.68% (G:24.20% B:2.11%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
57.99% (G:16.58% B:0.94%) 
57.99% (G:16.58% B:0.94%) 
Opponent Winning Chances: 
42.01% (G:11.14% B:0.52%) 
42.01% (G:11.14% B:0.52%) 
Cubeless Equities 
+0.218 
+0.438 
Cubeful Equities 
No double:  +0.320  
Double/Take:  +0.137 (0.184)  
Double/Pass:  +1.000 (+0.680) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.5% 


52: 13/11 13/8 


1.  XG Roller++  13/8 6/4  eq: +0.094 
 Player: Opponent:  52.46% (G:14.97% B:0.76%) 47.54% (G:13.66% B:0.79%)  

2.  XG Roller++  13/11 13/8  eq: +0.092 (0.003) 
 Player: Opponent:  52.29% (G:15.50% B:0.80%) 47.71% (G:14.16% B:0.79%)  

3.  5ply  24/22 13/8  eq: +0.064 (0.030) 
 Player: Opponent:  52.21% (G:13.55% B:0.62%) 47.79% (G:13.69% B:0.46%)  

4.  3ply  13/6  eq: 0.052 (0.147) 
 Player: Opponent:  48.86% (G:13.51% B:0.64%) 51.14% (G:14.89% B:0.74%)  

5.  2ply  13/8 7/5  eq: 0.193 (0.287) 
 Player: Opponent:  45.79% (G:12.29% B:0.57%) 54.21% (G:17.38% B:1.31%)  



64: 24/14* 


1.  3ply  24/14*  eq: +0.004 
 Player: Opponent:  50.17% (G:13.88% B:0.87%) 49.83% (G:14.01% B:0.75%)  

2.  3ply  24/20 13/7  eq: 0.134 (0.137) 
 Player: Opponent:  47.28% (G:13.35% B:0.80%) 52.72% (G:16.94% B:0.72%)  

3.  2ply  13/7 8/4  eq: 0.173 (0.177) 
 Player: Opponent:  45.51% (G:12.91% B:0.66%) 54.49% (G:15.99% B:0.96%)  

4.  2ply  13/9 13/7  eq: 0.250 (0.253) 
 Player: Opponent:  43.59% (G:12.13% B:0.68%) 56.41% (G:16.85% B:1.07%)  

5.  2ply  13/7 6/2  eq: 0.257 (0.261) 
 Player: Opponent:  43.40% (G:12.17% B:0.54%) 56.60% (G:16.94% B:1.03%)  



54: Bar/20 24/20 


1.  3ply  Bar/20 24/20  eq: 0.006 
 Player: Opponent:  48.80% (G:12.31% B:0.38%) 51.20% (G:9.84% B:0.28%)  

2.  2ply  Bar/21 6/1*  eq: 0.249 (0.243) 
 Player: Opponent:  43.55% (G:13.00% B:0.69%) 56.45% (G:17.24% B:1.34%)  

3.  2ply  Bar/16  eq: 0.301 (0.295) 
 Player: Opponent:  42.50% (G:10.55% B:0.45%) 57.50% (G:16.72% B:1.02%)  

4.  1ply  Bar/20 8/4  eq: 0.351 (0.346) 
 Player: Opponent:  41.71% (G:10.78% B:0.49%) 58.29% (G:18.93% B:1.40%)  

5.  1ply  Bar/20 6/2  eq: 0.369 (0.363) 
 Player: Opponent:  41.17% (G:10.34% B:0.45%) 58.83% (G:18.58% B:1.42%)  



51: 14/9 8/7 


1.  5ply  14/9 8/7  eq: 0.023 
 Player: Opponent:  50.29% (G:10.06% B:0.37%) 49.71% (G:12.51% B:0.36%)  

2.  5ply  13/7  eq: 0.082 (0.059) 
 Player: Opponent:  49.17% (G:9.50% B:0.33%) 50.83% (G:13.73% B:0.40%)  

3.  5ply  8/7 6/1*  eq: 0.094 (0.071) 
 Player: Opponent:  48.69% (G:9.02% B:0.25%) 51.31% (G:12.97% B:0.48%)  

4.  3ply  8/7 8/3  eq: 0.156 (0.133) 
 Player: Opponent:  47.22% (G:9.63% B:0.33%) 52.78% (G:15.30% B:0.61%)  

5.  2ply  14/13 6/1*  eq: 0.240 (0.217) 
 Player: Opponent:  44.57% (G:8.49% B:0.18%) 55.43% (G:14.87% B:0.60%)  



64: 20/16* 16/10 


1.  XG Roller++  20/14 20/16*  eq: +0.050 
 Player: Opponent:  51.76% (G:13.22% B:0.62%) 48.24% (G:13.63% B:0.67%)  

2.  XG Roller++  20/16* 16/10  eq: +0.033 (0.017) 
 Player: Opponent:  50.63% (G:13.43% B:0.57%) 49.37% (G:12.56% B:0.58%)  

3.  5ply  24/14  eq: 0.017 (0.067) 
 Player: Opponent:  48.89% (G:9.57% B:0.27%) 51.11% (G:7.75% B:0.23%)  

4.  3ply  20/16* 13/7  eq: 0.054 (0.105) 
 Player: Opponent:  48.63% (G:12.41% B:0.59%) 51.37% (G:13.32% B:0.77%)  

5.  2ply  8/2 6/2  eq: 0.137 (0.187) 
 Player: Opponent:  44.81% (G:11.07% B:0.24%) 55.19% (G:9.51% B:0.30%)  



32: Bar/22 24/22 


1.  5ply  Bar/22 24/22  eq: 0.135 
 Player: Opponent:  46.00% (G:9.62% B:0.34%) 54.00% (G:10.58% B:0.33%)  

2.  5ply  Bar/23 8/5*  eq: 0.143 (0.009) 
 Player: Opponent:  46.72% (G:12.86% B:0.61%) 53.28% (G:16.13% B:0.81%)  

3.  3ply  Bar/23 24/21  eq: 0.274 (0.139) 
 Player: Opponent:  43.80% (G:9.70% B:0.42%) 56.20% (G:16.54% B:0.59%)  

4.  3ply  Bar/22 6/4  eq: 0.290 (0.155) 
 Player: Opponent:  43.53% (G:9.72% B:0.43%) 56.47% (G:17.68% B:0.78%)  

5.  2ply  Bar/20  eq: 0.320 (0.186) 
 Player: Opponent:  42.25% (G:9.15% B:0.38%) 57.75% (G:16.58% B:0.71%)  



54: 24/20 10/5 


1.  XG Roller++  24/20 6/1  eq: +0.243 
 Player: Opponent:  56.34% (G:9.68% B:0.20%) 43.66% (G:6.05% B:0.19%)  

2.  XG Roller++  24/20 10/5  eq: +0.217 (0.027) 
 Player: Opponent:  55.41% (G:10.06% B:0.31%) 44.59% (G:6.56% B:0.20%)  

3.  3ply  24/20 13/8  eq: +0.137 (0.106) 
 Player: Opponent:  53.27% (G:9.68% B:0.26%) 46.73% (G:6.27% B:0.20%)  

4.  2ply  20/11  eq: +0.028 (0.215) 
 Player: Opponent:  51.49% (G:10.16% B:0.31%) 48.51% (G:11.46% B:0.41%)  

5.  2ply  24/15  eq: 0.035 (0.279) 
 Player: Opponent:  50.59% (G:9.29% B:0.30%) 49.41% (G:13.63% B:0.52%)  



54: 13/4 


1.  5ply  13/4  eq: 0.406 
 Player: Opponent:  38.78% (G:5.56% B:0.16%) 61.22% (G:10.26% B:0.33%)  

2.  5ply  13/8 6/2  eq: 0.443 (0.036) 
 Player: Opponent:  37.87% (G:5.46% B:0.15%) 62.13% (G:10.67% B:0.36%)  

3.  5ply  8/3 6/2  eq: 0.446 (0.039) 
 Player: Opponent:  37.76% (G:5.60% B:0.15%) 62.24% (G:10.83% B:0.38%)  

4.  5ply  8/4 6/1  eq: 0.464 (0.057) 
 Player: Opponent:  37.39% (G:5.65% B:0.13%) 62.61% (G:11.21% B:0.40%)  

5.  4ply  8/3 7/3  eq: 0.452 (0.046) 
 Player: Opponent:  37.38% (G:5.88% B:0.16%) 62.62% (G:11.34% B:0.35%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
61.22% (G:10.26% B:0.33%) 
61.22% (G:10.26% B:0.33%) 
Opponent Winning Chances: 
38.78% (G:5.56% B:0.16%) 
38.78% (G:5.56% B:0.16%) 
Cubeless Equities 
+0.273 
+0.547 
Cubeful Equities 
No double:  +0.406  
Double/Take:  +0.274 (0.132)  
Double/Pass:  +1.000 (+0.594) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.4% 


54: 6/1 5/1 


1.  3ply  6/1 5/1  eq: +0.202 
 Player: Opponent:  55.83% (G:8.92% B:0.17%) 44.17% (G:6.39% B:0.19%)  

2.  3ply  6/2 6/1  eq: +0.093 (0.110) 
 Player: Opponent:  52.15% (G:10.56% B:0.25%) 47.85% (G:8.03% B:0.30%)  

3.  3ply  13/8 5/1  eq: +0.065 (0.137) 
 Player: Opponent:  51.34% (G:8.96% B:0.23%) 48.66% (G:6.77% B:0.25%)  

4.  3ply  7/2 6/2  eq: +0.057 (0.146) 
 Player: Opponent:  50.83% (G:12.02% B:0.41%) 49.17% (G:8.97% B:0.33%)  

5.  2ply  13/9 13/8  eq: +0.030 (0.173) 
 Player: Opponent:  50.36% (G:10.24% B:0.35%) 49.64% (G:8.67% B:0.26%)  



32: 6/4 6/3 


1.  3ply  6/4 6/3  eq: 0.170 
 Player: Opponent:  45.02% (G:6.90% B:0.21%) 54.98% (G:8.82% B:0.14%)  

2.  3ply  7/4 6/4  eq: 0.266 (0.096) 
 Player: Opponent:  42.33% (G:7.34% B:0.22%) 57.67% (G:10.47% B:0.21%)  

3.  3ply  8/3  eq: 0.276 (0.106) 
 Player: Opponent:  41.91% (G:6.38% B:0.18%) 58.09% (G:9.33% B:0.19%)  

4.  3ply  6/3 4/2  eq: 0.284 (0.114) 
 Player: Opponent:  41.64% (G:6.88% B:0.20%) 58.36% (G:9.81% B:0.22%)  

5.  3ply  6/1  eq: 0.303 (0.133) 
 Player: Opponent:  40.94% (G:6.84% B:0.18%) 59.06% (G:9.48% B:0.20%)  



32: 13/11 13/10 


1.  5ply  13/11 13/10  eq: +0.183 
 Player: Opponent:  55.12% (G:9.04% B:0.18%) 44.88% (G:6.29% B:0.20%)  

2.  5ply  8/5 7/5  eq: +0.156 (0.027) 
 Player: Opponent:  54.01% (G:10.72% B:0.23%) 45.99% (G:7.41% B:0.24%)  

3.  5ply  7/4 6/4  eq: +0.143 (0.039) 
 Player: Opponent:  53.37% (G:11.25% B:0.26%) 46.63% (G:7.44% B:0.26%)  

4.  3ply  13/8  eq: +0.023 (0.159) 
 Player: Opponent:  50.19% (G:8.50% B:0.18%) 49.81% (G:6.90% B:0.24%)  

5.  2ply  6/1  eq: 0.048 (0.231) 
 Player: Opponent:  48.87% (G:7.61% B:0.11%) 51.13% (G:8.69% B:0.26%)  



52: 22/15* 


1.  3ply  22/15*  eq: +0.179 
 Player: Opponent:  57.05% (G:10.18% B:0.40%) 42.95% (G:13.64% B:0.33%)  

2.  1ply  8/6 8/3  eq: 0.213 (0.392) 
 Player: Opponent:  43.60% (G:7.38% B:0.22%) 56.40% (G:9.36% B:0.18%)  

3.  1ply  8/3 6/4  eq: 0.217 (0.396) 
 Player: Opponent:  43.80% (G:6.43% B:0.22%) 56.20% (G:9.36% B:0.13%)  

4.  1ply  13/11 8/3  eq: 0.236 (0.415) 
 Player: Opponent:  43.14% (G:6.99% B:0.24%) 56.86% (G:9.74% B:0.21%)  

5.  1ply  6/1 3/1  eq: 0.279 (0.458) 
 Player: Opponent:  41.96% (G:6.35% B:0.18%) 58.04% (G:9.79% B:0.15%)  



21: Bar/22* 


1.  5ply  Bar/22*  eq: 0.046 
 Player: Opponent:  46.82% (G:14.40% B:0.42%) 53.18% (G:9.65% B:0.39%)  

2.  5ply  Bar/23 11/10*  eq: 0.069 (0.024) 
 Player: Opponent:  46.33% (G:14.96% B:0.38%) 53.67% (G:10.66% B:0.44%)  

3.  1ply  Bar/24 11/9  eq: 0.552 (0.507) 
 Player: Opponent:  33.51% (G:8.12% B:0.26%) 66.49% (G:13.21% B:0.47%)  

4.  1ply  Bar/24 6/4  eq: 0.558 (0.512) 
 Player: Opponent:  33.92% (G:8.66% B:0.33%) 66.08% (G:15.15% B:0.66%)  

5.  1ply  Bar/23 8/7  eq: 0.561 (0.515) 
 Player: Opponent:  33.23% (G:7.43% B:0.26%) 66.77% (G:12.59% B:0.45%)  



31: Bar/22 15/14* 


1.  3ply  Bar/22 15/14*  eq: +0.370 
 Player: Opponent:  60.94% (G:12.30% B:0.43%) 39.06% (G:8.69% B:0.16%)  

2.  1ply  Bar/22 8/7  eq: +0.052 (0.318) 
 Player: Opponent:  52.19% (G:9.42% B:0.34%) 47.81% (G:10.63% B:0.21%)  

3.  1ply  Bar/22 13/12  eq: 0.096 (0.466) 
 Player: Opponent:  48.93% (G:9.38% B:0.35%) 51.07% (G:14.81% B:0.46%)  

4.  1ply  Bar/21  eq: 0.208 (0.578) 
 Player: Opponent:  47.88% (G:9.56% B:0.41%) 52.12% (G:21.94% B:0.61%)  

5.  1ply  Bar/22 7/6  eq: 0.232 (0.602) 
 Player: Opponent:  45.42% (G:9.03% B:0.30%) 54.58% (G:17.10% B:0.51%)  



21: Bar/24 22/20 


1.  5ply  Bar/24 22/20  eq: 0.351 
 Player: Opponent:  39.53% (G:8.86% B:0.19%) 60.47% (G:10.58% B:0.42%)  

2.  5ply  Bar/22  eq: 0.396 (0.045) 
 Player: Opponent:  38.73% (G:9.36% B:0.22%) 61.27% (G:12.15% B:0.44%)  

3.  3ply  Bar/23 8/7  eq: 0.486 (0.135) 
 Player: Opponent:  36.33% (G:8.02% B:0.19%) 63.67% (G:13.35% B:0.49%)  

4.  2ply  Bar/24 8/6  eq: 0.530 (0.179) 
 Player: Opponent:  34.83% (G:7.73% B:0.14%) 65.17% (G:14.08% B:0.56%)  

5.  2ply  Bar/24 6/4  eq: 0.582 (0.231) 
 Player: Opponent:  34.19% (G:8.34% B:0.20%) 65.81% (G:17.33% B:0.80%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
60.47% (G:10.58% B:0.42%) 
60.48% (G:10.56% B:0.42%) 
Opponent Winning Chances: 
39.53% (G:8.86% B:0.19%) 
39.52% (G:8.85% B:0.19%) 
Cubeless Equities 
+0.229 
+0.458 
Cubeful Equities 
No double:  +0.351  
Double/Take:  +0.185 (0.166)  
Double/Pass:  +1.000 (+0.649) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.9% 


63: 22/13 


1.  3ply  22/13  eq: +0.363 
 Player: Opponent:  62.00% (G:10.05% B:0.38%) 38.00% (G:9.82% B:0.11%)  

2.  3ply  13/4  eq: +0.187 (0.177) 
 Player: Opponent:  55.60% (G:11.66% B:0.45%) 44.40% (G:10.10% B:0.22%)  

3.  2ply  14/8 6/3  eq: +0.140 (0.224) 
 Player: Opponent:  54.36% (G:11.01% B:0.38%) 45.64% (G:10.30% B:0.23%)  

4.  2ply  22/16 14/11  eq: +0.116 (0.247) 
 Player: Opponent:  55.70% (G:10.21% B:0.40%) 44.30% (G:14.85% B:0.42%)  

5.  2ply  13/10 13/7  eq: +0.108 (0.255) 
 Player: Opponent:  53.57% (G:10.54% B:0.40%) 46.43% (G:10.51% B:0.24%)  



42: 8/4 6/4 


1.  5ply  8/4 6/4  eq: 0.428 
 Player: Opponent:  36.57% (G:8.72% B:0.14%) 63.43% (G:8.48% B:0.32%)  

2.  5ply  24/20 8/6  eq: 0.475 (0.047) 
 Player: Opponent:  35.51% (G:4.75% B:0.07%) 64.49% (G:5.82% B:0.21%)  

3.  3ply  24/22 6/2  eq: 0.573 (0.145) 
 Player: Opponent:  32.92% (G:5.43% B:0.10%) 67.08% (G:8.39% B:0.32%)  

4.  2ply  24/20 6/4  eq: 0.582 (0.153) 
 Player: Opponent:  31.85% (G:5.05% B:0.07%) 68.15% (G:8.98% B:0.28%)  

5.  2ply  24/22 20/16  eq: 0.595 (0.166) 
 Player: Opponent:  32.35% (G:6.58% B:0.11%) 67.65% (G:12.55% B:0.45%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
63.43% (G:8.48% B:0.32%) 
63.43% (G:8.48% B:0.32%) 
Opponent Winning Chances: 
36.57% (G:8.72% B:0.14%) 
36.57% (G:8.72% B:0.14%) 
Cubeless Equities 
+0.268 
+0.536 
Cubeful Equities 
No double:  +0.428  
Double/Take:  +0.288 (0.140)  
Double/Pass:  +1.000 (+0.572) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.5% 


44: 13/9(3) 8/4 


1.  Rollout^{1}  14/2 6/2  eq: +0.408 
 Player: Opponent:  62.11% (G:11.88% B:0.49%) 37.89% (G:10.32% B:0.14%)  Conf.: ± 0.013 (+0.396...+0.421)  [100.0%] Duration: 4 minutes 23 seconds 

2.  Rollout^{1}  14/6 13/9(2)  eq: +0.371 (0.038) 
 Player: Opponent:  61.98% (G:11.63% B:0.56%) 38.02% (G:11.05% B:0.14%)  Conf.: ± 0.016 (+0.355...+0.387)  [0.0%] Duration: 4 minutes 10 seconds 

3.  Rollout^{1}  13/9(3) 8/4  eq: +0.351 (0.057) 
 Player: Opponent:  61.64% (G:10.53% B:0.48%) 38.36% (G:11.33% B:0.16%)  Conf.: ± 0.018 (+0.333...+0.370)  [0.0%] Duration: 4 minutes 03 seconds 

4.  3ply  14/6 7/3(2)  eq: +0.288 (0.120) 
 Player: Opponent:  59.43% (G:11.28% B:0.36%) 40.57% (G:10.66% B:0.10%)  

5.  3ply  14/10 13/9(3)  eq: +0.261 (0.147) 
 Player: Opponent:  59.31% (G:10.65% B:0.46%) 40.69% (G:11.53% B:0.12%)  


^{1} 681 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



32: 24/22 6/3* 


1.  XG Roller++  24/22 6/3*  eq: 0.653 
 Player: Opponent:  31.86% (G:7.67% B:0.09%) 68.14% (G:14.02% B:0.53%)  

2.  XG Roller++  6/3* 3/1  eq: 0.666 (0.014) 
 Player: Opponent:  31.23% (G:5.79% B:0.07%) 68.77% (G:10.86% B:0.45%)  

3.  5ply  8/3*  eq: 0.695 (0.043) 
 Player: Opponent:  31.69% (G:7.82% B:0.12%) 68.31% (G:16.57% B:0.82%)  

4.  2ply  7/5 6/3*  eq: 0.940 (0.287) 
 Player: Opponent:  29.35% (G:7.07% B:0.09%) 70.65% (G:22.32% B:1.09%)  

5.  2ply  8/5 7/5  eq: 0.969 (0.317) 
 Player: Opponent:  26.89% (G:5.37% B:0.07%) 73.11% (G:16.65% B:0.54%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
68.28% (G:14.27% B:0.53%) 
68.29% (G:14.26% B:0.53%) 
Opponent Winning Chances: 
31.72% (G:7.25% B:0.13%) 
31.71% (G:7.25% B:0.13%) 
Cubeless Equities 
+0.440 
+0.881 
Cubeful Equities 
No double:  +0.666  
Double/Take:  +0.657 (0.009)  
Double/Pass:  +1.000 (+0.334) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.7% 


44: Cannot Move 


1.  5ply  Cannot Move  eq: +0.170 
 Player: Opponent:  57.39% (G:9.97% B:0.43%) 42.61% (G:14.59% B:0.15%)  



11: 7/3 


1.  5ply  7/3  eq: 0.286 
 Player: Opponent:  39.89% (G:13.27% B:0.20%) 60.11% (G:10.10% B:0.45%)  

2.  5ply  7/5(2)  eq: 0.345 (0.058) 
 Player: Opponent:  39.05% (G:13.29% B:0.22%) 60.95% (G:12.91% B:0.49%)  

3.  1ply  7/6(2) 4/3(2)  eq: 0.742 (0.456) 
 Player: Opponent:  29.52% (G:5.19% B:0.07%) 70.48% (G:11.29% B:0.37%)  

4.  1ply  7/6 7/4  eq: 0.757 (0.470) 
 Player: Opponent:  30.09% (G:6.47% B:0.13%) 69.91% (G:14.47% B:0.70%)  

5.  1ply  6/5(2) 4/3(2)  eq: 0.776 (0.489) 
 Player: Opponent:  28.96% (G:5.73% B:0.09%) 71.04% (G:12.20% B:0.36%)  



51: Bar/20 9/8 


1.  XG Roller++  Bar/20 14/13  eq: +0.426 
 Player: Opponent:  63.34% (G:11.32% B:0.53%) 36.66% (G:11.26% B:0.15%)  

2.  XG Roller++  Bar/20 9/8  eq: +0.378 (0.047) 
 Player: Opponent:  62.20% (G:12.13% B:0.58%) 37.80% (G:12.66% B:0.18%)  

3.  3ply  Bar/20 4/3*  eq: +0.320 (0.105) 
 Player: Opponent:  61.63% (G:10.77% B:0.39%) 38.37% (G:13.74% B:0.27%)  

4.  1ply  Bar/20 8/7  eq: 0.471 (0.896) 
 Player: Opponent:  42.61% (G:9.60% B:0.46%) 57.39% (G:30.93% B:1.10%)  

5.  1ply  Bar/20 7/6  eq: 0.487 (0.913) 
 Player: Opponent:  41.86% (G:9.61% B:0.45%) 58.14% (G:30.32% B:1.16%)  



62: 20/14 7/5* 


1.  3ply  20/14 7/5*  eq: 0.128 
 Player: Opponent:  44.15% (G:17.43% B:0.33%) 55.85% (G:12.89% B:0.62%)  

2.  1ply  22/14  eq: 0.587 (0.459) 
 Player: Opponent:  31.92% (G:4.97% B:0.10%) 68.08% (G:8.94% B:0.31%)  

3.  1ply  8/2 7/5*  eq: 0.740 (0.612) 
 Player: Opponent:  31.70% (G:9.89% B:0.20%) 68.30% (G:20.59% B:1.30%)  

4.  1ply  22/20 7/1  eq: 0.756 (0.628) 
 Player: Opponent:  28.54% (G:2.44% B:0.05%) 71.46% (G:6.98% B:0.24%)  

5.  1ply  20/12  eq: 0.935 (0.808) 
 Player: Opponent:  27.37% (G:4.53% B:0.18%) 72.63% (G:15.25% B:0.64%)  



62: Bar/23 14/8 


1.  3ply  Bar/23 14/8  eq: +0.263 
 Player: Opponent:  58.37% (G:9.97% B:0.45%) 41.63% (G:8.43% B:0.04%)  

2.  1ply  Bar/23 8/2  eq: 0.131 (0.394) 
 Player: Opponent:  49.26% (G:11.07% B:0.57%) 50.74% (G:20.65% B:0.47%)  

3.  1ply  Bar/23 9/3*  eq: 0.561 (0.824) 
 Player: Opponent:  40.23% (G:10.37% B:0.54%) 59.77% (G:32.71% B:1.93%)  

4.  1ply  Bar/23 7/1  eq: 1.000 (1.263) 
 Player: Opponent:  32.31% (G:7.90% B:0.39%) 67.69% (G:39.98% B:1.96%)  



41: 14/10 5/4 


1.  XG Roller++  6/5 6/2*  eq: 0.429 
 Player: Opponent:  37.54% (G:7.52% B:0.04%) 62.46% (G:10.31% B:0.47%)  

2.  XG Roller++  14/10 5/4  eq: 0.538 (0.110) 
 Player: Opponent:  34.32% (G:4.93% B:0.04%) 65.68% (G:9.14% B:0.37%)  

3.  2ply  14/9  eq: 0.588 (0.159) 
 Player: Opponent:  32.51% (G:6.09% B:0.05%) 67.49% (G:13.69% B:0.56%)  

4.  2ply  14/10 6/5  eq: 0.594 (0.166) 
 Player: Opponent:  32.33% (G:5.85% B:0.05%) 67.67% (G:13.36% B:0.54%)  

5.  2ply  14/13 5/1  eq: 0.627 (0.198) 
 Player: Opponent:  32.40% (G:4.47% B:0.03%) 67.60% (G:11.57% B:0.50%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
65.57% (G:8.97% B:0.32%) 
65.58% (G:8.94% B:0.32%) 
Opponent Winning Chances: 
34.43% (G:4.85% B:0.07%) 
34.42% (G:4.84% B:0.07%) 
Cubeless Equities 
+0.355 
+0.711 
Cubeful Equities 
No double:  +0.538  
Double/Take:  +0.472 (0.066)  
Double/Pass:  +1.000 (+0.462) 

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


41: 7/3* 4/3 


1.  XG Roller++  8/7 8/4  eq: +0.337 
 Player: Opponent:  59.58% (G:10.22% B:0.54%) 40.42% (G:6.91% B:0.10%)  

2.  XG Roller++  7/3* 4/3  eq: +0.073 (0.264) 
 Player: Opponent:  53.62% (G:8.91% B:0.37%) 46.38% (G:12.10% B:0.19%)  

3.  5ply  8/7 6/2  eq: +0.295 (0.042) 
 Player: Opponent:  58.87% (G:10.18% B:0.48%) 41.13% (G:7.89% B:0.06%)  

4.  3ply  6/1  eq: +0.209 (0.129) 
 Player: Opponent:  56.78% (G:9.81% B:0.40%) 43.22% (G:9.10% B:0.05%)  

5.  2ply  8/3*  eq: +0.068 (0.269) 
 Player: Opponent:  53.51% (G:9.65% B:0.40%) 46.49% (G:13.29% B:0.25%)  



61: Bar/18* 


1.  3ply  Bar/18*  eq: +0.604 
 Player: Opponent:  64.40% (G:25.91% B:0.41%) 35.60% (G:6.90% B:0.34%)  

2.  1ply  Bar/24 8/2*  eq: +0.154 (0.450) 
 Player: Opponent:  51.55% (G:22.80% B:0.46%) 48.45% (G:13.09% B:0.72%)  

3.  1ply  Bar/24 10/4  eq: 0.299 (0.903) 
 Player: Opponent:  40.92% (G:7.41% B:0.19%) 59.08% (G:9.93% B:0.19%)  

4.  1ply  Bar/24 20/14  eq: 0.964 (1.569) 
 Player: Opponent:  31.25% (G:8.84% B:0.34%) 68.75% (G:29.46% B:2.35%)  



54: Bar/16 


1.  XG Roller++  Bar/20 8/4  eq: 0.640 
 Player: Opponent:  37.22% (G:8.70% B:0.46%) 62.78% (G:27.89% B:0.40%)  

2.  XG Roller++  Bar/16  eq: 0.809 (0.169) 
 Player: Opponent:  35.23% (G:6.73% B:0.34%) 64.77% (G:29.97% B:0.41%)  

3.  2ply  Bar/20 6/2  eq: 0.856 (0.216) 
 Player: Opponent:  34.11% (G:8.65% B:0.53%) 65.89% (G:32.81% B:0.61%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.81% (G:29.85% B:0.40%) 
64.83% (G:31.70% B:0.41%) 
Opponent Winning Chances: 
35.19% (G:6.85% B:0.34%) 
35.17% (G:7.48% B:0.40%) 
Cubeless Equities 
+0.527 
+1.078 
Cubeful Equities 
No double:  +0.610 (0.216)  
Double/Take:  +0.826  
Double/Pass:  +1.000 (+0.174) 

Best Cube action: Double / Take 


31: 18/15 10/9* 


1.  5ply  18/15 10/9*  eq: +0.681 
 Player: Opponent:  66.57% (G:27.74% B:0.43%) 33.43% (G:5.97% B:0.27%)  

2.  5ply  10/9* 9/6  eq: +0.678 (0.003) 
 Player: Opponent:  66.94% (G:28.60% B:0.40%) 33.06% (G:5.91% B:0.25%)  

3.  1ply  10/9* 4/1  eq: +0.416 (0.265) 
 Player: Opponent:  59.56% (G:19.53% B:0.38%) 40.44% (G:8.16% B:0.37%)  

4.  1ply  10/9* 8/5  eq: +0.235 (0.446) 
 Player: Opponent:  54.82% (G:23.28% B:0.51%) 45.18% (G:14.59% B:1.31%)  

5.  1ply  10/6  eq: +0.053 (0.628) 
 Player: Opponent:  49.63% (G:12.06% B:0.21%) 50.37% (G:6.54% B:0.23%)  



66: Cannot Move 


1.  5ply  Cannot Move  eq: 1.000 
 Player: Opponent:  25.24% (G:5.05% B:0.31%) 74.76% (G:42.86% B:0.45%)  



Double/Pass 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
74.76% (G:42.87% B:0.45%) 
74.76% (G:42.86% B:0.45%) 
Opponent Winning Chances: 
25.24% (G:5.05% B:0.31%) 
25.24% (G:5.05% B:0.31%) 
Cubeless Equities 
+0.875 
+1.750 
Cubeful Equities 
No double:  +0.964 (0.036)  
Double/Take:  +1.563 (+0.563)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



