52: 13/11 13/8 


1.  Rollout^{1}  24/22 13/8  eq: +0.010 
 Player: Opponent:  50.20% (G:14.02% B:0.67%) 49.80% (G:13.49% B:0.53%)  Conf.: ± 0.015 (0.005...+0.025)  [84.8%] Duration: 15 minutes 43 seconds 

2.  Rollout^{1}  13/11 13/8  eq: 0.001 (0.011) 
 Player: Opponent:  49.75% (G:15.19% B:0.86%) 50.25% (G:14.62% B:0.90%)  Conf.: ± 0.015 (0.017...+0.014)  [15.2%] Duration: 15 minutes 55 seconds 

3.  Book^{2}  13/8 6/4  eq: 0.052 (0.062) 
 Player: Opponent:  48.83% (G:13.78% B:0.70%) 51.17% (G:14.50% B:0.82%)  Conf.: ± 0.004 (0.056...0.048)  [0.0%] 

4.  Book^{3}  13/6  eq: 0.096 (0.106) 
 Player: Opponent:  47.51% (G:13.31% B:0.61%) 52.49% (G:14.69% B:0.67%)  

5.  3ply  13/11 8/3  eq: 0.151 (0.161) 
 Player: Opponent:  46.48% (G:13.00% B:0.67%) 53.52% (G:15.80% B:1.00%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{2} Generated by Steven Carey on 05/08/2012 using eXtreme Gammon 2.00 20736 Games rolled with Variance Reduction. Dice Seed: 35844269 Moves: 3ply, cube decisions: XG Roller
^{3} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



21: 13/11 6/5 


1.  Rollout^{1}  13/11 6/5  eq: 0.080 
 Player: Opponent:  48.29% (G:13.97% B:0.83%) 51.71% (G:16.23% B:1.11%)  Conf.: ± 0.035 (0.115...0.045)  [99.9%] Duration: 2 minutes 04 seconds 

2.  Rollout^{1}  24/23 13/11  eq: 0.165 (0.085) 
 Player: Opponent:  46.36% (G:12.85% B:0.39%) 53.64% (G:16.90% B:0.80%)  Conf.: ± 0.037 (0.202...0.128)  [0.1%] Duration: 1 minute 44 seconds 

3.  4ply  13/10  eq: 0.166 (0.086) 
 Player: Opponent:  46.18% (G:12.32% B:0.54%) 53.82% (G:15.63% B:0.85%)  

4.  4ply  24/21  eq: 0.187 (0.107) 
 Player: Opponent:  46.01% (G:11.00% B:0.49%) 53.99% (G:15.67% B:0.56%)  

5.  3ply  24/22 6/5  eq: 0.224 (0.145) 
 Player: Opponent:  45.55% (G:11.08% B:0.49%) 54.45% (G:17.51% B:0.81%)  


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



64: 24/20* 20/14* 


1.  3ply  24/20* 20/14*  eq: +0.566 
 Player: Opponent:  60.82% (G:23.53% B:2.23%) 39.18% (G:8.04% B:0.35%)  

2.  2ply  24/18 24/20*  eq: +0.228 (0.338) 
 Player: Opponent:  54.43% (G:17.79% B:1.35%) 45.57% (G:11.33% B:0.53%)  

3.  2ply  24/14*  eq: +0.208 (0.357) 
 Player: Opponent:  54.26% (G:16.86% B:1.15%) 45.74% (G:11.35% B:0.52%)  

4.  1ply  24/20* 13/7  eq: +0.144 (0.422) 
 Player: Opponent:  52.02% (G:17.84% B:1.45%) 47.98% (G:11.94% B:0.71%)  

5.  1ply  24/20* 11/5  eq: +0.137 (0.429) 
 Player: Opponent:  52.06% (G:16.97% B:1.27%) 47.94% (G:11.69% B:0.56%)  



64: Bar/21 


1.  3ply  Bar/21  eq: 0.673 
 Player: Opponent:  37.71% (G:7.31% B:0.31%) 62.29% (G:25.62% B:2.61%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.75% (G:25.98% B:2.87%) 
61.84% (G:25.80% B:2.80%) 
Opponent Winning Chances: 
38.25% (G:7.48% B:0.32%) 
38.16% (G:7.56% B:0.33%) 
Cubeless Equities 
+0.480 
+0.970 
Cubeful Equities 
No double:  +0.670  
Double/Take:  +0.629 (0.041)  
Double/Pass:  +1.000 (+0.330) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.0% 


65: 24/13 


1.  3ply  24/13  eq: +0.482 
 Player: Opponent:  59.97% (G:19.86% B:1.37%) 40.03% (G:8.63% B:0.36%)  

2.  3ply  24/18 14/9  eq: +0.349 (0.133) 
 Player: Opponent:  56.79% (G:19.80% B:1.53%) 43.21% (G:10.25% B:0.49%)  

3.  3ply  14/8 13/8  eq: +0.321 (0.160) 
 Player: Opponent:  55.39% (G:21.24% B:1.43%) 44.61% (G:9.88% B:0.43%)  

4.  3ply  14/8 11/6  eq: +0.320 (0.161) 
 Player: Opponent:  55.43% (G:21.07% B:1.44%) 44.57% (G:9.94% B:0.39%)  

5.  2ply  24/18 13/8  eq: +0.299 (0.182) 
 Player: Opponent:  55.73% (G:19.01% B:1.28%) 44.27% (G:10.38% B:0.43%)  



65: Bar/14* 


1.  3ply  Bar/14*  eq: 0.384 
 Player: Opponent:  42.04% (G:9.46% B:0.34%) 57.96% (G:18.99% B:1.25%)  

2.  1ply  Bar/20 13/7  eq: 0.687 (0.303) 
 Player: Opponent:  36.07% (G:6.59% B:0.29%) 63.93% (G:22.60% B:1.60%)  

3.  1ply  Bar/20 21/15  eq: 0.805 (0.421) 
 Player: Opponent:  34.69% (G:5.81% B:0.30%) 65.31% (G:24.01% B:1.68%)  

4.  1ply  Bar/20 24/18  eq: 0.826 (0.441) 
 Player: Opponent:  34.39% (G:6.21% B:0.27%) 65.61% (G:25.18% B:1.23%)  

5.  1ply  Bar/20 8/2  eq: 0.877 (0.493) 
 Player: Opponent:  33.52% (G:6.12% B:0.30%) 66.48% (G:24.50% B:2.00%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.90% (G:19.05% B:1.31%) 
57.89% (G:19.07% B:1.31%) 
Opponent Winning Chances: 
42.10% (G:9.59% B:0.36%) 
42.11% (G:9.60% B:0.36%) 
Cubeless Equities 
+0.280 
+0.571 
Cubeful Equities 
No double:  +0.384  
Double/Take:  +0.228 (0.155)  
Double/Pass:  +1.000 (+0.616) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.8% 


41: Bar/21 14/13 


1.  4ply  Bar/21 14/13  eq: +0.290 
 Player: Opponent:  56.57% (G:16.28% B:0.87%) 43.43% (G:10.51% B:0.35%)  

2.  4ply  Bar/24 14/10  eq: +0.228 (0.062) 
 Player: Opponent:  54.76% (G:16.46% B:0.88%) 45.24% (G:10.73% B:0.43%)  

3.  4ply  Bar/24 8/4*  eq: +0.216 (0.074) 
 Player: Opponent:  54.28% (G:16.44% B:1.04%) 45.72% (G:11.14% B:0.51%)  

4.  3ply  Bar/20  eq: +0.163 (0.127) 
 Player: Opponent:  53.23% (G:16.11% B:1.07%) 46.77% (G:11.65% B:0.44%)  

5.  2ply  Bar/24 13/9  eq: +0.073 (0.218) 
 Player: Opponent:  50.95% (G:15.77% B:0.95%) 49.05% (G:12.50% B:0.65%)  



61: 13/7 8/7 


1.  Rollout^{1}  13/7 8/7  eq: 0.418 
 Player: Opponent:  41.46% (G:9.92% B:0.42%) 58.54% (G:18.04% B:1.56%)  Conf.: ± 0.017 (0.435...0.401)  [100.0%] Duration: 17 minutes 11 seconds 

2.  Rollout^{1}  21/14  eq: 0.490 (0.072) 
 Player: Opponent:  39.24% (G:8.55% B:0.40%) 60.76% (G:16.44% B:1.18%)  Conf.: ± 0.016 (0.506...0.473)  [0.0%] Duration: 17 minutes 46 seconds 

3.  4ply  14/8 6/5  eq: 0.461 (0.043) 
 Player: Opponent:  40.20% (G:8.80% B:0.29%) 59.80% (G:18.77% B:1.41%)  

4.  4ply  24/23 14/8  eq: 0.464 (0.047) 
 Player: Opponent:  39.19% (G:8.49% B:0.25%) 60.81% (G:17.11% B:0.78%)  

5.  3ply  21/20 14/8  eq: 0.478 (0.061) 
 Player: Opponent:  38.95% (G:8.55% B:0.29%) 61.05% (G:16.99% B:0.96%)  


^{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: 
58.80% (G:17.75% B:1.19%) 
58.94% (G:17.58% B:1.16%) 
Opponent Winning Chances: 
41.20% (G:9.37% B:0.36%) 
41.06% (G:9.31% B:0.36%) 
Cubeless Equities 
+0.283 
+0.587 
Cubeful Equities 
No double:  +0.403  
Double/Take:  +0.264 (0.139)  
Double/Pass:  +1.000 (+0.597) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.9% 


43: 13/6 


1.  Rollout^{1}  13/10 8/4*  eq: +0.138 
 Player: Opponent:  52.23% (G:17.37% B:1.28%) 47.77% (G:12.58% B:0.69%)  Conf.: ± 0.016 (+0.122...+0.154)  [100.0%] Duration: 17 minutes 58 seconds 

2.  Rollout^{1}  13/6  eq: +0.085 (0.053) 
 Player: Opponent:  51.85% (G:15.70% B:1.16%) 48.15% (G:13.09% B:0.57%)  Conf.: ± 0.017 (+0.069...+0.102)  [0.0%] Duration: 16 minutes 38 seconds 

3.  3ply  8/4* 6/3  eq: +0.022 (0.116) 
 Player: Opponent:  50.57% (G:13.75% B:0.87%) 49.43% (G:13.41% B:0.68%)  

4.  2ply  13/9 6/3  eq: 0.007 (0.145) 
 Player: Opponent:  49.68% (G:13.98% B:0.78%) 50.32% (G:13.82% B:0.66%)  

5.  2ply  8/5 8/4*  eq: 0.007 (0.145) 
 Player: Opponent:  49.53% (G:14.23% B:0.86%) 50.47% (G:13.94% B:0.68%)  


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



61: 24/23 14/8 


1.  XG Roller++  21/14  eq: 0.315 
 Player: Opponent:  43.31% (G:9.81% B:0.33%) 56.69% (G:15.46% B:0.96%)  

2.  XG Roller++  14/8 6/5  eq: 0.316 (0.001) 
 Player: Opponent:  43.86% (G:10.06% B:0.36%) 56.14% (G:17.63% B:1.34%)  

3.  XG Roller++  21/20 14/8  eq: 0.339 (0.024) 
 Player: Opponent:  42.54% (G:10.04% B:0.34%) 57.46% (G:15.95% B:1.03%)  

4.  XG Roller++  24/23 14/8  eq: 0.364 (0.050) 
 Player: Opponent:  41.95% (G:9.67% B:0.32%) 58.05% (G:16.56% B:0.76%)  

5.  4ply  13/7 6/5  eq: 0.341 (0.027) 
 Player: Opponent:  43.69% (G:10.07% B:0.43%) 56.31% (G:19.87% B:1.72%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.22% (G:16.53% B:0.69%) 
58.21% (G:16.58% B:0.70%) 
Opponent Winning Chances: 
41.78% (G:9.59% B:0.32%) 
41.79% (G:9.61% B:0.32%) 
Cubeless Equities 
+0.250 
+0.516 
Cubeful Equities 
No double:  +0.354  
Double/Take:  +0.196 (0.158)  
Double/Pass:  +1.000 (+0.646) 

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


62: 21/13 


1.  3ply  21/13  eq: +0.393 
 Player: Opponent:  60.53% (G:14.06% B:0.42%) 39.47% (G:8.93% B:0.20%)  

2.  2ply  21/15 8/6  eq: +0.186 (0.207) 
 Player: Opponent:  54.86% (G:13.89% B:0.54%) 45.14% (G:11.35% B:0.33%)  

3.  2ply  21/15 13/11  eq: +0.173 (0.220) 
 Player: Opponent:  54.55% (G:13.51% B:0.53%) 45.45% (G:11.18% B:0.39%)  

4.  2ply  21/15 6/4*  eq: +0.152 (0.240) 
 Player: Opponent:  53.96% (G:13.58% B:0.51%) 46.04% (G:11.72% B:0.40%)  

5.  2ply  8/2* 6/4*  eq: +0.136 (0.257) 
 Player: Opponent:  52.50% (G:16.02% B:0.79%) 47.50% (G:11.90% B:0.55%)  



44: 8/4(2) 7/3(2) 


1.  XG Roller++  8/4(2) 7/3(2)  eq: 0.310 
 Player: Opponent:  41.07% (G:11.77% B:0.24%) 58.93% (G:12.05% B:0.53%)  

2.  XG Roller++  8/4(2) 6/2(2)  eq: 0.329 (0.019) 
 Player: Opponent:  40.64% (G:11.12% B:0.22%) 59.36% (G:11.87% B:0.49%)  

3.  XG Roller++  13/5 8/4(2)  eq: 0.340 (0.030) 
 Player: Opponent:  40.99% (G:11.47% B:0.30%) 59.01% (G:13.98% B:0.74%)  

4.  3ply  13/5(2)  eq: 0.391 (0.081) 
 Player: Opponent:  39.57% (G:9.32% B:0.30%) 60.43% (G:13.20% B:0.50%)  

5.  3ply  13/9 8/4(2) 6/2  eq: 0.395 (0.085) 
 Player: Opponent:  39.70% (G:10.24% B:0.29%) 60.30% (G:14.60% B:0.81%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.97% (G:12.27% B:0.47%) 
58.96% (G:12.32% B:0.47%) 
Opponent Winning Chances: 
41.03% (G:11.61% B:0.22%) 
41.04% (G:11.61% B:0.22%) 
Cubeless Equities 
+0.190 
+0.410 
Cubeful Equities 
No double:  +0.300  
Double/Take:  +0.112 (0.188)  
Double/Pass:  +1.000 (+0.700) 

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


66: 13/7(2) 8/2*(2) 


1.  3ply  13/7(2) 8/2*(2)  eq: +0.707 
 Player: Opponent:  66.73% (G:18.12% B:0.69%) 33.27% (G:6.14% B:0.13%)  

2.  2ply  13/1*(2)  eq: +0.519 (0.188) 
 Player: Opponent:  62.07% (G:17.43% B:0.47%) 37.93% (G:7.92% B:0.28%)  

3.  2ply  13/1* 8/2*(2)  eq: +0.485 (0.222) 
 Player: Opponent:  60.10% (G:21.39% B:0.87%) 39.90% (G:10.33% B:0.38%)  

4.  1ply  13/7(2) 13/1*  eq: +0.370 (0.337) 
 Player: Opponent:  60.14% (G:13.94% B:0.31%) 39.86% (G:9.79% B:0.16%)  

5.  1ply  13/7(4)  eq: +0.337 (0.370) 
 Player: Opponent:  58.77% (G:14.55% B:0.50%) 41.23% (G:9.76% B:0.19%)  



51: Bar/20 21/20 


1.  Rollout^{1}  Bar/24 13/8  eq: 0.622 
 Player: Opponent:  36.00% (G:7.25% B:0.42%) 64.00% (G:17.67% B:1.49%)  Conf.: ± 0.028 (0.650...0.594)  [96.9%] Duration: 1 minute 02 seconds 

2.  Rollout^{1}  Bar/20 21/20  eq: 0.658 (0.036) 
 Player: Opponent:  33.36% (G:6.27% B:0.19%) 66.64% (G:13.61% B:0.30%)  Conf.: ± 0.026 (0.684...0.633)  [3.1%] Duration: 1 minute 05 seconds 

3.  3ply  Bar/24 21/16  eq: 0.741 (0.119) 
 Player: Opponent:  33.19% (G:5.11% B:0.17%) 66.81% (G:16.74% B:1.01%)  

4.  2ply  Bar/24 8/3  eq: 0.801 (0.179) 
 Player: Opponent:  32.36% (G:5.77% B:0.14%) 67.64% (G:17.90% B:1.17%)  

5.  2ply  Bar/24 6/1  eq: 0.872 (0.250) 
 Player: Opponent:  31.78% (G:5.79% B:0.13%) 68.22% (G:19.60% B:1.50%)  


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



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.88% (G:13.86% B:0.29%) 
66.76% (G:14.23% B:0.32%) 
Opponent Winning Chances: 
33.12% (G:6.08% B:0.14%) 
33.24% (G:6.02% B:0.14%) 
Cubeless Equities 
+0.430 
+0.909 
Cubeful Equities 
No double:  +0.678  
Double/Take:  +0.647 (0.031)  
Double/Pass:  +1.000 (+0.322) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.2% 


22: 6/4(2) 6/2 


1.  XG Roller++  6/4(2) 6/2  eq: +0.985 
 Player: Opponent:  73.50% (G:14.10% B:0.20%) 26.50% (G:3.53% B:0.11%)  

2.  XG Roller++  6/4(4)  eq: +0.965 (0.020) 
 Player: Opponent:  72.88% (G:13.80% B:0.21%) 27.12% (G:3.82% B:0.11%)  

3.  4ply  8/4(2)  eq: +0.886 (0.099) 
 Player: Opponent:  70.33% (G:15.29% B:0.19%) 29.67% (G:4.64% B:0.15%)  

4.  2ply  13/9 6/4(2)  eq: +0.796 (0.189) 
 Player: Opponent:  70.02% (G:17.06% B:0.59%) 29.98% (G:5.63% B:0.17%)  

5.  2ply  13/11 6/4(3)  eq: +0.767 (0.218) 
 Player: Opponent:  69.47% (G:16.41% B:0.68%) 30.53% (G:5.92% B:0.16%)  



41: 13/9 6/5 


1.  XG Roller++  13/9 6/5  eq: 1.000 
 Player: Opponent:  28.06% (G:3.90% B:0.10%) 71.94% (G:15.83% B:0.23%)  

2.  XG Roller++  8/4 6/5  eq: 1.000 
 Player: Opponent:  26.43% (G:3.49% B:0.08%) 73.57% (G:15.44% B:0.20%)  

3.  XG Roller++  13/9 8/7  eq: 1.000 
 Player: Opponent:  25.89% (G:3.35% B:0.10%) 74.11% (G:15.57% B:0.26%)  

4.  XG Roller++  6/5 6/2  eq: 1.000 
 Player: Opponent:  26.40% (G:3.61% B:0.09%) 73.60% (G:17.42% B:0.31%)  

5.  XG Roller++  24/20 6/5  eq: 1.004 (0.004) 
 Player: Opponent:  22.08% (G:1.96% B:0.04%) 77.92% (G:5.95% B:0.04%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
71.97% (G:15.49% B:0.23%) 
71.92% (G:15.88% B:0.27%) 
Opponent Winning Chances: 
28.03% (G:3.81% B:0.10%) 
28.08% (G:3.84% B:0.10%) 
Cubeless Equities 
+0.577 
+1.215 
Cubeful Equities 
No double:  +0.907 (0.090)  
Double/Take:  +0.997  
Double/Pass:  +1.000 (+0.003) 

Best Cube action: Double / Take 


53: 7/4 7/2 


1.  Rollout^{1}  8/3 6/3  eq: +0.767 
 Player: Opponent:  67.84% (G:15.86% B:0.77%) 32.16% (G:6.56% B:0.29%)  Conf.: ± 0.011 (+0.756...+0.778)  [100.0%] Duration: 4 minutes 54 seconds 

2.  Rollout^{1}  7/4 7/2  eq: +0.464 (0.303) 
 Player: Opponent:  61.36% (G:14.12% B:0.24%) 38.64% (G:6.88% B:0.24%)  Conf.: ± 0.012 (+0.452...+0.476)  [0.0%] Duration: 7 minutes 38 seconds 

3.  2ply  13/8 6/3  eq: +0.480 (0.287) 
 Player: Opponent:  61.31% (G:13.28% B:0.26%) 38.69% (G:8.40% B:0.22%)  

4.  2ply  13/10 6/1*  eq: +0.451 (0.316) 
 Player: Opponent:  60.93% (G:16.21% B:0.52%) 39.07% (G:10.89% B:0.37%)  

5.  2ply  6/1* 4/1  eq: +0.437 (0.330) 
 Player: Opponent:  60.33% (G:14.55% B:0.20%) 39.67% (G:10.40% B:0.25%)  


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



51: 9/4 6/5 


1.  XG Roller++  9/4 6/5  eq: 0.465 
 Player: Opponent:  38.27% (G:6.02% B:0.14%) 61.73% (G:14.02% B:0.13%)  

2.  XG Roller++  8/3 6/5  eq: 0.475 (0.010) 
 Player: Opponent:  37.98% (G:5.97% B:0.14%) 62.02% (G:14.07% B:0.13%)  

3.  4ply  13/8 6/5  eq: 0.531 (0.066) 
 Player: Opponent:  36.83% (G:5.47% B:0.10%) 63.17% (G:16.35% B:0.22%)  

4.  3ply  9/4 8/7  eq: 0.616 (0.151) 
 Player: Opponent:  34.58% (G:5.54% B:0.17%) 65.42% (G:15.35% B:0.17%)  

5.  3ply  9/3  eq: 0.630 (0.165) 
 Player: Opponent:  34.44% (G:5.57% B:0.17%) 65.56% (G:15.71% B:0.18%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.69% (G:14.53% B:0.14%) 
61.67% (G:15.00% B:0.13%) 
Opponent Winning Chances: 
38.31% (G:6.31% B:0.19%) 
38.33% (G:6.35% B:0.17%) 
Cubeless Equities 
+0.329 
+0.692 
Cubeful Equities 
No double:  +0.479  
Double/Take:  +0.412 (0.067)  
Double/Pass:  +1.000 (+0.521) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.2% 


43: 13/6 


1.  3ply  13/6  eq: +0.490 
 Player: Opponent:  63.67% (G:12.51% B:0.12%) 36.33% (G:5.19% B:0.07%)  

2.  1ply  8/1*  eq: 0.066 (0.556) 
 Player: Opponent:  49.16% (G:12.05% B:0.17%) 50.84% (G:15.06% B:0.48%)  

3.  1ply  13/9 4/1*  eq: 0.133 (0.623) 
 Player: Opponent:  47.58% (G:12.16% B:0.20%) 52.42% (G:16.67% B:0.45%)  

4.  1ply  6/2 4/1*  eq: 0.134 (0.624) 
 Player: Opponent:  47.66% (G:10.05% B:0.15%) 52.34% (G:14.93% B:0.23%)  

5.  1ply  13/10 6/2  eq: 0.325 (0.815) 
 Player: Opponent:  42.27% (G:10.42% B:0.21%) 57.73% (G:17.05% B:0.35%)  



43: 24/20 8/5 


1.  Rollout^{1}  8/1  eq: 0.481 
 Player: Opponent:  37.78% (G:5.76% B:0.17%) 62.22% (G:16.20% B:0.19%)  Conf.: ± 0.011 (0.493...0.470)  [100.0%] Duration: 5 minutes 06 seconds 

2.  Rollout^{1}  24/20 8/5  eq: 0.583 (0.102) 
 Player: Opponent:  32.42% (G:4.22% B:0.17%) 67.58% (G:6.90% B:0.04%)  Conf.: ± 0.011 (0.595...0.572)  [0.0%] Duration: 6 minutes 35 seconds 

3.  4ply  13/6  eq: 0.609 (0.127) 
 Player: Opponent:  35.69% (G:4.98% B:0.10%) 64.31% (G:17.76% B:0.28%)  

4.  4ply  20/13  eq: 0.618 (0.137) 
 Player: Opponent:  37.64% (G:5.81% B:0.13%) 62.36% (G:23.59% B:0.35%)  

5.  4ply  13/10 13/9  eq: 0.677 (0.196) 
 Player: Opponent:  33.05% (G:3.83% B:0.07%) 66.95% (G:13.31% B:0.15%)  


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



Double/Take 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
67.02% (G:7.33% B:0.11%) 
67.49% (G:7.25% B:0.15%) 
Opponent Winning Chances: 
32.98% (G:4.33% B:0.17%) 
32.51% (G:4.17% B:0.15%) 
Cubeless Equities 
+0.375 
+0.825 
Cubeful Equities 
No double:  +0.498 (0.082)  ±0.010 (+0.488..+0.508) 
Double/Take:  +0.580  ±0.013 (+0.568..+0.593) 
Double/Pass:  +1.000 (+0.420) 

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: 11 minutes 50 seconds 


21: 6/3 


1.  Rollout^{1}  4/1  eq: +0.253 
 Player: Opponent:  66.61% (G:7.04% B:0.05%) 33.39% (G:5.33% B:0.26%)  Conf.: ± 0.013 (+0.239...+0.266)  [69.7%] Duration: 44.4 seconds 

2.  Rollout^{1}  6/3  eq: +0.248 (0.005) 
 Player: Opponent:  66.15% (G:6.65% B:0.07%) 33.85% (G:5.00% B:0.18%)  Conf.: ± 0.013 (+0.235...+0.260)  [30.3%] Duration: 49.4 seconds 

3.  XG Roller++  6/4 2/1  eq: +0.242 (0.010) 
 Player: Opponent:  66.12% (G:6.69% B:0.04%) 33.88% (G:4.01% B:0.11%)  

4.  4ply  4/3 4/2  eq: +0.139 (0.114) 
 Player: Opponent:  62.74% (G:6.50% B:0.04%) 37.26% (G:5.85% B:0.14%)  

5.  1ply  8/7 8/6  eq: 0.090 (0.343) 
 Player: Opponent:  54.05% (G:6.65% B:0.07%) 45.95% (G:8.69% B:0.21%)  


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



54: 20/11 


1.  4ply  20/11  eq: 0.238 
 Player: Opponent:  32.95% (G:3.32% B:0.06%) 67.05% (G:4.13% B:0.03%)  

2.  4ply  20/15 5/1  eq: 0.311 (0.072) 
 Player: Opponent:  31.45% (G:4.00% B:0.08%) 68.55% (G:8.71% B:0.11%)  

3.  3ply  20/15 13/9  eq: 0.330 (0.092) 
 Player: Opponent:  31.76% (G:5.14% B:0.22%) 68.24% (G:12.36% B:0.12%)  

4.  3ply  20/16 13/8  eq: 0.345 (0.107) 
 Player: Opponent:  31.68% (G:5.14% B:0.19%) 68.32% (G:13.98% B:0.16%)  

5.  3ply  13/4  eq: 0.366 (0.127) 
 Player: Opponent:  29.44% (G:3.82% B:0.12%) 70.56% (G:9.18% B:0.06%)  



51: 6/1 2/1 


1.  XG Roller++  6/1 2/1  eq: +0.196 
 Player: Opponent:  64.77% (G:4.92% B:0.04%) 35.23% (G:4.27% B:0.12%)  

2.  XG Roller++  6/1 4/3  eq: +0.189 (0.007) 
 Player: Opponent:  64.42% (G:4.91% B:0.05%) 35.58% (G:4.34% B:0.12%)  

3.  3ply  6/1 3/2  eq: +0.092 (0.104) 
 Player: Opponent:  61.60% (G:3.55% B:0.03%) 38.40% (G:5.14% B:0.07%)  

4.  2ply  8/7 8/3  eq: 0.036 (0.232) 
 Player: Opponent:  56.16% (G:5.71% B:0.07%) 43.84% (G:6.55% B:0.11%)  

5.  2ply  13/8 4/3  eq: 0.048 (0.244) 
 Player: Opponent:  55.31% (G:4.21% B:0.05%) 44.69% (G:4.08% B:0.10%)  



65: 13/7 11/6 


1.  Rollout^{1}  20/9  eq: 0.283 
 Player: Opponent:  32.70% (G:4.16% B:0.14%) 67.30% (G:8.28% B:0.03%)  Conf.: ± 0.004 (0.288...0.279)  [100.0%] Duration: 3 minutes 19 seconds 

2.  Rollout^{1}  13/7 11/6  eq: 0.352 (0.068) 
 Player: Opponent:  29.98% (G:4.58% B:0.20%) 70.02% (G:6.61% B:0.05%)  Conf.: ± 0.004 (0.356...0.347)  [0.0%] Duration: 3 minutes 28 seconds 

3.  4ply  13/2  eq: 0.351 (0.068) 
 Player: Opponent:  29.65% (G:3.42% B:0.07%) 70.35% (G:7.40% B:0.08%)  

4.  4ply  13/8 13/7  eq: 0.380 (0.097) 
 Player: Opponent:  27.13% (G:2.19% B:0.06%) 72.87% (G:2.66% B:0.05%)  

5.  3ply  13/8 11/5  eq: 0.350 (0.066) 
 Player: Opponent:  29.02% (G:3.44% B:0.09%) 70.98% (G:6.04% B:0.04%)  


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



31: 4/1 2/1 


1.  XG Roller++  4/3 4/1  eq: +0.258 
 Player: Opponent:  66.54% (G:4.93% B:0.03%) 33.46% (G:4.35% B:0.12%)  

2.  XG Roller++  4/1 2/1  eq: +0.250 (0.008) 
 Player: Opponent:  66.15% (G:4.84% B:0.03%) 33.85% (G:4.83% B:0.14%)  

3.  XG Roller++  4/1 3/2  eq: +0.238 (0.020) 
 Player: Opponent:  65.86% (G:3.76% B:0.02%) 34.14% (G:3.91% B:0.11%)  

4.  3ply  13/10 13/12*  eq: +0.147 (0.111) 
 Player: Opponent:  62.57% (G:12.38% B:0.10%) 37.43% (G:13.75% B:0.71%)  

5.  3ply  13/12* 4/1  eq: +0.114 (0.144) 
 Player: Opponent:  61.29% (G:12.19% B:0.10%) 38.71% (G:13.15% B:0.64%)  



32: 5/2 4/2 


1.  4ply  5/2 4/2  eq: 0.218 
 Player: Opponent:  34.11% (G:4.76% B:0.09%) 65.89% (G:4.39% B:0.02%)  

2.  4ply  7/2  eq: 0.271 (0.053) 
 Player: Opponent:  31.88% (G:4.27% B:0.08%) 68.12% (G:4.87% B:0.03%)  

3.  4ply  6/3 4/2  eq: 0.279 (0.061) 
 Player: Opponent:  31.83% (G:4.16% B:0.08%) 68.17% (G:5.36% B:0.04%)  

4.  4ply  6/4 5/2  eq: 0.303 (0.085) 
 Player: Opponent:  30.92% (G:3.99% B:0.08%) 69.08% (G:5.77% B:0.05%)  

5.  3ply  5/3 4/1  eq: 0.286 (0.068) 
 Player: Opponent:  31.10% (G:4.28% B:0.09%) 68.90% (G:5.28% B:0.03%)  



66: 13/7(2) 8/2(2) 


1.  3ply  13/7(2) 8/2(2)  eq: +0.835 
 Player: Opponent:  92.46% (G:1.24% B:0.00%) 7.54% (G:0.23% B:0.00%)  

2.  2ply  13/1(2)  eq: +0.662 (0.172) 
 Player: Opponent:  85.12% (G:1.74% B:0.00%) 14.88% (G:0.93% B:0.01%)  

3.  1ply  13/1 8/2(2)  eq: 0.382 (1.216) 
 Player: Opponent:  41.94% (G:2.42% B:0.01%) 58.06% (G:5.41% B:0.13%)  

4.  1ply  13/7 13/1 8/2  eq: 0.509 (1.344) 
 Player: Opponent:  40.28% (G:2.35% B:0.01%) 59.72% (G:15.71% B:0.16%)  



52: 13/6 


1.  XG Roller++  13/8 7/5  eq: 0.854 
 Player: Opponent:  6.84% (G:0.36% B:0.01%) 93.16% (G:0.94% B:0.00%)  

2.  XG Roller++  13/6  eq: 0.855 (0.000) 
 Player: Opponent:  6.87% (G:0.39% B:0.01%) 93.13% (G:0.87% B:0.00%)  

3.  XG Roller++  13/8 6/4  eq: 0.859 (0.004) 
 Player: Opponent:  6.87% (G:0.39% B:0.01%) 93.13% (G:1.31% B:0.00%)  

4.  XG Roller++  13/11 6/1  eq: 0.861 (0.007) 
 Player: Opponent:  7.04% (G:0.38% B:0.01%) 92.96% (G:1.77% B:0.00%)  

5.  XG Roller++  20/13  eq: 0.865 (0.010) 
 Player: Opponent:  6.62% (G:0.30% B:0.01%) 93.38% (G:1.20% B:0.00%)  



32: 4/1 3/1 


1.  XG Roller++  4/1 3/1  eq: +0.818 
 Player: Opponent:  91.47% (G:0.59% B:0.00%) 8.53% (G:0.48% B:0.02%)  

2.  XG Roller++  4/2 4/1  eq: +0.796 (0.022) 
 Player: Opponent:  90.53% (G:0.53% B:0.00%) 9.47% (G:0.47% B:0.02%)  

3.  XG Roller++  6/4 6/3  eq: +0.735 (0.083) 
 Player: Opponent:  87.56% (G:0.86% B:0.00%) 12.44% (G:0.54% B:0.01%)  

4.  1ply  7/4 3/1  eq: +0.275 (0.544) 
 Player: Opponent:  69.02% (G:1.16% B:0.00%) 30.98% (G:1.62% B:0.00%)  

5.  1ply  7/2  eq: +0.208 (0.610) 
 Player: Opponent:  66.36% (G:1.18% B:0.00%) 33.64% (G:2.12% B:0.00%)  



21: 7/4 


1.  Rollout^{1}  6/3  eq: 0.826 
 Player: Opponent:  8.08% (G:0.64% B:0.02%) 91.92% (G:0.78% B:0.00%)  Conf.: ± 0.001 (0.827...0.824)  [99.5%] Duration: 53.8 seconds 

2.  Rollout^{1}  7/4  eq: 0.828 (0.002) 
 Player: Opponent:  7.83% (G:0.59% B:0.02%) 92.17% (G:0.63% B:0.00%)  Conf.: ± 0.001 (0.829...0.827)  [0.5%] Duration: 47.8 seconds 

3.  XG Roller++  6/5 6/4  eq: 0.825 (+0.000) 
 Player: Opponent:  8.20% (G:0.54% B:0.02%) 91.80% (G:0.74% B:0.00%)  

4.  XG Roller++  6/4 2/1  eq: 0.826 (0.000) 
 Player: Opponent:  8.16% (G:0.49% B:0.02%) 91.84% (G:0.75% B:0.00%)  

5.  XG Roller++  7/5 6/5  eq: 0.827 (0.001) 
 Player: Opponent:  7.98% (G:0.53% B:0.02%) 92.02% (G:0.60% B:0.00%)  


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



31: 7/6 7/4 


1.  3ply  7/6 7/4  eq: +0.875 
 Player: Opponent:  94.34% (G:0.72% B:0.00%) 5.66% (G:0.02% B:0.00%)  

2.  2ply  4/1 2/1  eq: +0.686 (0.189) 
 Player: Opponent:  86.51% (G:0.40% B:0.00%) 13.49% (G:0.42% B:0.00%)  

3.  1ply  7/6 4/1  eq: +0.232 (0.644) 
 Player: Opponent:  68.08% (G:0.27% B:0.00%) 31.92% (G:3.16% B:0.00%)  

4.  1ply  7/4 2/1  eq: +0.215 (0.660) 
 Player: Opponent:  67.02% (G:0.33% B:0.00%) 32.98% (G:2.21% B:0.00%)  

5.  1ply  7/3  eq: +0.187 (0.688) 
 Player: Opponent:  67.42% (G:0.20% B:0.00%) 32.58% (G:6.59% B:0.00%)  



51: 20/14 


1.  Rollout^{1}  20/15 6/5  eq: 0.898 
 Player: Opponent:  4.62% (G:0.00% B:0.00%) 95.38% (G:0.39% B:0.00%)  Conf.: ± 0.002 (0.900...0.897)  [78.6%] Duration: 6.9 seconds 

2.  Rollout^{1}  20/14  eq: 0.899 (0.001) 
 Player: Opponent:  4.53% (G:0.00% B:0.00%) 95.47% (G:0.33% B:0.00%)  Conf.: ± 0.001 (0.900...0.898)  [21.4%] Duration: 6.7 seconds 

3.  XG Roller++  20/15 4/3  eq: 0.900 (0.001) 
 Player: Opponent:  4.60% (G:0.00% B:0.00%) 95.40% (G:0.51% B:0.00%)  

4.  XG Roller++  20/15 2/1  eq: 0.902 (0.004) 
 Player: Opponent:  4.50% (G:0.00% B:0.00%) 95.50% (G:0.47% B:0.00%)  

5.  XG Roller++  20/15 3/2  eq: 0.907 (0.009) 
 Player: Opponent:  4.19% (G:0.00% B:0.00%) 95.81% (G:0.60% B:0.00%)  


^{1} 324 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



63: 6/Off 4/1 


1.  3ply  6/Off 4/1  eq: +0.913 
 Player: Opponent:  96.04% (G:0.54% B:0.00%) 3.96% (G:0.00% B:0.00%)  

2.  1ply  6/3 6/Off  eq: +0.383 (0.530) 
 Player: Opponent:  73.44% (G:0.18% B:0.00%) 26.56% (G:0.00% B:0.00%)  



54: 14/5 


1.  XG Roller++  14/10 6/1  eq: 0.908 
 Player: Opponent:  4.15% (G:0.00% B:0.00%) 95.85% (G:0.24% B:0.00%)  

2.  XG Roller++  14/9 6/2  eq: 0.909 (0.001) 
 Player: Opponent:  3.97% (G:0.00% B:0.00%) 96.03% (G:0.22% B:0.00%)  

3.  XG Roller++  14/5  eq: 0.911 (0.003) 
 Player: Opponent:  3.89% (G:0.00% B:0.00%) 96.11% (G:0.11% B:0.00%)  

4.  XG Roller++  6/2 6/1  eq: 0.916 (0.008) 
 Player: Opponent:  3.98% (G:0.00% B:0.00%) 96.02% (G:0.77% B:0.00%)  

5.  XG Roller++  20/15 14/10  eq: 0.993 (0.085) 
 Player: Opponent:  0.32% (G:0.00% B:0.00%) 99.68% (G:0.03% B:0.00%)  



55: 6/1(2) 4/Off 2/Off 


1.  3ply  6/1(2) 4/Off 2/Off  eq: +0.999 
 Player: Opponent:  99.94% (G:0.05% B:0.00%) 0.06% (G:0.00% B:0.00%)  



62: 20/12 


1.  XG Roller++  20/12  eq: 1.000 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:0.01% B:0.00%)  

2.  XG Roller++  20/14 3/1  eq: 1.000 (0.000) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.02% B:0.00%)  

3.  XG Roller++  20/14 6/4  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.05% B:0.00%)  

4.  XG Roller++  20/14 4/2  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.05% B:0.00%)  

5.  XG Roller++  20/14 5/3  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.05% B:0.00%)  



41: 2/Off 1/Off 


1.  XG Roller++  2/Off 1/Off  eq: +1.000 
 Player: Opponent:  99.98% (G:0.00% B:0.00%) 0.02% (G:0.00% B:0.00%)  

2.  XG Roller++  2/1 2/Off  eq: +0.993 (0.006) 
 Player: Opponent:  99.71% (G:0.00% B:0.00%) 0.29% (G:0.00% B:0.00%)  



44: 12/Off 4/Off 


1.  XG Roller++  12/Off 4/Off  eq: 0.999 
 Player: Opponent:  0.06% (G:0.00% B:0.00%) 99.94% (G:0.00% B:0.00%)  

2.  XG Roller++  12/Off 5/1  eq: 0.999 (0.001) 
 Player: Opponent:  0.03% (G:0.00% B:0.00%) 99.97% (G:0.00% B:0.00%)  

3.  XG Roller++  12/Off 6/2  eq: 0.999 (0.001) 
 Player: Opponent:  0.03% (G:0.00% B:0.00%) 99.97% (G:0.00% B:0.00%)  

4.  XG Roller++  12/4 6/2(2)  eq: 1.000 (0.001) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  

5.  XG Roller++  12/8 6/2(3)  eq: 1.000 (0.001) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



41: 2/Off 1/Off 


1.  4ply  2/Off 1/Off  eq: +0.998 
 Player: Opponent:  99.93% (G:0.00% B:0.00%) 0.07% (G:0.00% B:0.00%)  

2.  4ply  2/1 2/Off  eq: +0.976 (0.022) 
 Player: Opponent:  98.95% (G:0.00% B:0.00%) 1.05% (G:0.00% B:0.00%)  



54: 5/Off 4/Off 


1.  4ply  5/Off 4/Off  eq: 1.000 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:0.00% B:0.00%)  

2.  4ply  5/1 5/Off  eq: 1.000 (0.000) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  

3.  4ply  6/2 5/Off  eq: 1.000 (0.000) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  

4.  4ply  6/1 4/Off  eq: 1.000 (0.000) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:0.00% B:0.00%)  

5.  4ply  6/1 5/1  eq: 1.000 (0.000) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



63: 2/Off 1/Off 


1.  3ply  2/Off 1/Off  eq: +0.999 
 Player: Opponent:  99.98% (G:0.00% B:0.00%) 0.02% (G:0.00% B:0.00%)  



63: ???? 


1.  4ply  6/Off 3/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  4ply  6/3 6/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/2  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

4.  4ply  6/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. 



