63: 24/18 13/10 


1.  Book^{1}  24/18 13/10  eq: +0.224 
 Player: Opponent:  50.69% (G:13.06% B:0.50%) 49.31% (G:14.32% B:1.54%)  Conf.: ± 0.002 (+0.221...+0.226)  [100.0%] 

2.  Book^{1}  24/15  eq: +0.196 (0.028) 
 Player: Opponent:  50.41% (G:12.01% B:0.45%) 49.59% (G:13.89% B:1.41%)  Conf.: ± 0.002 (+0.194...+0.198)  [0.0%] 

3.  Book^{2}  24/21 13/7  eq: +0.184 (0.040) 
 Player: Opponent:  48.60% (G:13.00% B:0.53%) 51.40% (G:13.67% B:0.59%)  

4.  Book^{3}  13/4  eq: +0.181 (0.042) 
 Player: Opponent:  48.72% (G:14.08% B:0.53%) 51.28% (G:15.10% B:2.03%)  Conf.: ± 0.003 (+0.178...+0.185)  [0.0%] 

5.  Book^{2}  13/10 13/7  eq: +0.171 (0.053) 
 Player: Opponent:  47.78% (G:13.56% B:0.56%) 52.22% (G:14.58% B:0.88%)  


^{1} Generated by Steven Carey on 31/07/2012 using eXtreme Gammon 2.10 46656 Games rolled with Variance Reduction. Dice Seed: 53850934 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++
^{3} Generated by Steven Carey on 31/07/2012 using eXtreme Gammon 2.10 23328 Games rolled with Variance Reduction. Dice Seed: 53850934 Moves: 3ply, cube decisions: XG Roller



31: 8/5 6/5 


1.  4ply  8/5 6/5  eq: 0.284 
 Player: Opponent:  47.81% (G:12.49% B:0.42%) 52.19% (G:12.57% B:0.58%)  

2.  4ply  24/21 8/7*  eq: 0.337 (0.053) 
 Player: Opponent:  47.12% (G:12.13% B:0.53%) 52.88% (G:13.92% B:0.68%)  

3.  3ply  13/10 8/7*  eq: 0.384 (0.101) 
 Player: Opponent:  47.30% (G:12.91% B:0.63%) 52.70% (G:15.50% B:1.08%)  

4.  2ply  8/7* 7/4  eq: 0.440 (0.157) 
 Player: Opponent:  45.10% (G:11.84% B:0.56%) 54.90% (G:16.37% B:1.11%)  

5.  2ply  24/21 6/5  eq: 0.448 (0.164) 
 Player: Opponent:  44.11% (G:10.13% B:0.38%) 55.89% (G:15.55% B:0.79%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
52.19% (G:12.57% B:0.58%) 
52.04% (G:12.84% B:0.59%) 
Opponent Winning Chances: 
47.81% (G:12.49% B:0.42%) 
47.96% (G:12.59% B:0.45%) 
Cubeless Equities 
0.020 
+0.194 
Cubeful Equities 
No double:  +0.284  
Double/Take:  +0.194 (0.090)  
Double/Pass:  +1.000 (+0.716) 

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


54: 18/9 


1.  XG Roller++  18/9  eq: +0.129 
 Player: Opponent:  47.08% (G:11.85% B:0.48%) 52.92% (G:15.10% B:0.65%)  

2.  XG Roller++  18/13 10/6  eq: +0.094 (0.035) 
 Player: Opponent:  46.96% (G:10.40% B:0.42%) 53.04% (G:15.12% B:0.45%)  

3.  3ply  18/14 13/8  eq: 0.022 (0.151) 
 Player: Opponent:  43.75% (G:10.79% B:0.53%) 56.25% (G:17.77% B:0.81%)  

4.  3ply  13/8 10/6  eq: 0.050 (0.179) 
 Player: Opponent:  42.96% (G:10.99% B:0.57%) 57.04% (G:18.61% B:0.69%)  

5.  2ply  18/13 6/2  eq: 0.051 (0.181) 
 Player: Opponent:  42.90% (G:10.08% B:0.49%) 57.10% (G:18.90% B:0.88%)  



63: 24/15* 


1.  3ply  24/15*  eq: +0.178 
 Player: Opponent:  61.13% (G:17.20% B:0.89%) 38.87% (G:9.13% B:0.36%)  

2.  1ply  24/18 13/10  eq: 0.302 (0.480) 
 Player: Opponent:  48.54% (G:12.12% B:0.63%) 51.46% (G:14.51% B:0.67%)  

3.  1ply  24/21 13/7  eq: 0.322 (0.500) 
 Player: Opponent:  47.68% (G:13.01% B:0.59%) 52.32% (G:14.43% B:0.74%)  

4.  1ply  13/10 13/7  eq: 0.330 (0.508) 
 Player: Opponent:  47.23% (G:13.48% B:0.59%) 52.77% (G:13.93% B:1.01%)  

5.  1ply  13/4  eq: 0.361 (0.539) 
 Player: Opponent:  46.18% (G:12.85% B:0.49%) 53.82% (G:13.98% B:0.95%)  



51: Bar/24 6/1* 


1.  Rollout^{1}  Bar/24 13/8  eq: 0.304 
 Player: Opponent:  36.57% (G:8.72% B:0.25%) 63.43% (G:18.09% B:2.91%)  Conf.: ± 0.014 (0.318...0.290)  [100.0%] Duration: 16 minutes 42 seconds 

2.  Rollout^{1}  Bar/24 6/1*  eq: 0.369 (0.065) 
 Player: Opponent:  34.83% (G:8.48% B:0.21%) 65.17% (G:19.35% B:3.66%)  Conf.: ± 0.013 (0.382...0.355)  [0.0%] Duration: 18 minutes 31 seconds 

3.  4ply  Bar/24 9/4  eq: 0.332 (0.028) 
 Player: Opponent:  34.67% (G:7.79% B:0.26%) 65.33% (G:19.23% B:1.25%)  

4.  3ply  Bar/24 8/3  eq: 0.374 (0.070) 
 Player: Opponent:  33.77% (G:7.59% B:0.28%) 66.23% (G:19.93% B:1.51%)  


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



44: Bar/21 15/11 8/4(2) 


1.  Rollout^{1}  Bar/21 15/11 13/9(2)  eq: +0.542 
 Player: Opponent:  69.74% (G:18.56% B:3.26%) 30.26% (G:6.85% B:0.12%)  Conf.: ± 0.013 (+0.529...+0.555)  [100.0%] Duration: 17 minutes 00 second 

2.  Rollout^{1}  Bar/21 15/11 8/4(2)  eq: +0.489 (0.053) 
 Player: Opponent:  68.26% (G:21.46% B:3.59%) 31.74% (G:7.53% B:0.16%)  Conf.: ± 0.012 (+0.477...+0.501)  [0.0%] Duration: 14 minutes 55 seconds 

3.  4ply  Bar/21 13/9 8/4(2)  eq: +0.409 (0.132) 
 Player: Opponent:  67.64% (G:20.54% B:1.47%) 32.36% (G:8.44% B:0.26%)  

4.  4ply  Bar/21 13/9(3)  eq: +0.406 (0.136) 
 Player: Opponent:  67.76% (G:18.41% B:1.36%) 32.24% (G:8.01% B:0.20%)  

5.  3ply  Bar/21 15/11 13/5  eq: +0.371 (0.171) 
 Player: Opponent:  66.87% (G:17.43% B:1.13%) 33.13% (G:7.71% B:0.18%)  


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



55: 13/3 8/3 6/1 


1.  Rollout^{1}  9/4* 8/3(2) 6/1  eq: 0.290 
 Player: Opponent:  35.01% (G:12.76% B:0.21%) 64.99% (G:21.48% B:4.72%)  Conf.: ± 0.012 (0.302...0.278)  [100.0%] Duration: 12 minutes 41 seconds 

2.  Rollout^{1}  13/3 8/3 6/1  eq: 0.462 (0.172) 
 Player: Opponent:  31.12% (G:8.89% B:0.14%) 68.88% (G:19.34% B:2.93%)  Conf.: ± 0.012 (0.474...0.450)  [0.0%] Duration: 12 minutes 07 seconds 

3.  2ply  13/3 9/4* 8/3  eq: 0.438 (0.148) 
 Player: Opponent:  30.93% (G:8.66% B:0.27%) 69.07% (G:24.23% B:2.23%)  

4.  2ply  13/8(2) 9/4* 6/1  eq: 0.452 (0.162) 
 Player: Opponent:  30.36% (G:8.23% B:0.14%) 69.64% (G:21.18% B:1.48%)  

5.  2ply  13/3 9/4* 6/1  eq: 0.513 (0.223) 
 Player: Opponent:  28.99% (G:7.94% B:0.16%) 71.01% (G:25.37% B:2.34%)  


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



65: 21/16* 16/10 


1.  3ply  21/16* 16/10  eq: +0.763 
 Player: Opponent:  77.34% (G:21.26% B:1.51%) 22.66% (G:3.91% B:0.07%)  

2.  2ply  21/16* 11/5  eq: +0.602 (0.161) 
 Player: Opponent:  72.96% (G:21.81% B:1.58%) 27.04% (G:6.09% B:0.12%)  

3.  2ply  21/10  eq: +0.501 (0.261) 
 Player: Opponent:  70.33% (G:12.74% B:0.50%) 29.67% (G:5.51% B:0.12%)  

4.  2ply  21/16* 13/7  eq: +0.484 (0.279) 
 Player: Opponent:  70.65% (G:22.64% B:1.62%) 29.35% (G:9.53% B:0.35%)  

5.  1ply  21/15 11/6  eq: +0.215 (0.548) 
 Player: Opponent:  63.38% (G:13.51% B:0.72%) 36.62% (G:9.76% B:0.11%)  



63: Bar/22 13/7 


1.  XG Roller++  Bar/22 13/7  eq: 0.744 
 Player: Opponent:  23.36% (G:4.03% B:0.05%) 76.64% (G:19.64% B:1.43%)  

2.  XG Roller++  Bar/22 8/2  eq: 0.779 (0.035) 
 Player: Opponent:  22.50% (G:3.64% B:0.04%) 77.50% (G:20.31% B:1.52%)  

3.  XG Roller++  Bar/22 24/18  eq: 0.799 (0.054) 
 Player: Opponent:  23.04% (G:4.07% B:0.08%) 76.96% (G:25.50% B:1.27%)  

4.  3ply  Bar/16  eq: 0.838 (0.094) 
 Player: Opponent:  21.34% (G:3.43% B:0.12%) 78.66% (G:21.72% B:1.50%)  



32: 11/8 10/8 


1.  Rollout^{1}  13/11 13/10  eq: +0.799 
 Player: Opponent:  76.86% (G:19.99% B:3.84%) 23.14% (G:3.33% B:0.08%)  Conf.: ± 0.012 (+0.787...+0.810)  [100.0%] Duration: 12 minutes 14 seconds 

2.  Rollout^{1}  11/8 10/8  eq: +0.753 (0.046) 
 Player: Opponent:  75.64% (G:18.21% B:2.77%) 24.36% (G:3.89% B:0.05%)  Conf.: ± 0.011 (+0.742...+0.764)  [0.0%] Duration: 10 minutes 36 seconds 

3.  4ply  13/11 6/3*  eq: +0.572 (0.227) 
 Player: Opponent:  72.98% (G:24.20% B:1.93%) 27.02% (G:9.20% B:0.20%)  

4.  3ply  13/10 6/4  eq: +0.622 (0.177) 
 Player: Opponent:  74.04% (G:16.74% B:1.05%) 25.96% (G:5.47% B:0.06%)  

5.  2ply  10/5  eq: +0.553 (0.245) 
 Player: Opponent:  71.85% (G:16.18% B:0.94%) 28.15% (G:5.96% B:0.10%)  


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



21: 24/22 6/5 


1.  XG Roller++  24/22 6/5  eq: 0.716 
 Player: Opponent:  24.29% (G:3.54% B:0.04%) 75.71% (G:14.65% B:0.68%)  

2.  XG Roller++  24/22 8/7  eq: 0.724 (0.008) 
 Player: Opponent:  23.98% (G:3.25% B:0.03%) 76.02% (G:13.59% B:0.52%)  

3.  XG Roller++  7/5 6/5  eq: 0.734 (0.018) 
 Player: Opponent:  23.78% (G:3.95% B:0.05%) 76.22% (G:18.41% B:1.13%)  

4.  4ply  8/5  eq: 0.754 (0.039) 
 Player: Opponent:  22.38% (G:5.24% B:0.07%) 77.62% (G:23.30% B:2.07%)  

5.  3ply  24/22 7/6  eq: 0.811 (0.095) 
 Player: Opponent:  22.92% (G:3.16% B:0.06%) 77.08% (G:11.83% B:0.38%)  



55: 13/8(2) 6/1*(2) 


1.  3ply  13/8(2) 6/1*(2)  eq: +0.834 
 Player: Opponent:  78.92% (G:17.97% B:0.35%) 21.08% (G:2.47% B:0.03%)  

2.  2ply  13/8(3) 6/1*  eq: +0.704 (0.130) 
 Player: Opponent:  74.91% (G:16.62% B:0.52%) 25.09% (G:4.49% B:0.08%)  

3.  2ply  13/8(4)  eq: +0.569 (0.265) 
 Player: Opponent:  70.65% (G:14.86% B:0.60%) 29.35% (G:4.23% B:0.07%)  

4.  1ply  13/8 6/1*(3)  eq: +0.149 (0.685) 
 Player: Opponent:  61.10% (G:15.14% B:0.42%) 38.90% (G:10.25% B:0.17%)  

5.  1ply  6/1*(4)  eq: +0.082 (0.752) 
 Player: Opponent:  58.46% (G:10.27% B:0.21%) 41.54% (G:9.12% B:0.06%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.964 
 Player: Opponent:  19.28% (G:1.98% B:0.06%) 80.72% (G:22.80% B:0.50%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
80.50% (G:22.17% B:0.39%) 
80.28% (G:22.91% B:0.51%) 
Opponent Winning Chances: 
19.50% (G:2.03% B:0.03%) 
19.72% (G:2.02% B:0.03%) 
Cubeless Equities 
+0.909 
+1.525 
Cubeful Equities 
No double:  +0.914  
Double/Take:  +0.759 (0.155)  
Double/Pass:  +1.000 (+0.086) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 39.2% 


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


1.  3ply  13/7(2) 8/2(2)  eq: +1.158 
 Player: Opponent:  84.79% (G:37.62% B:0.43%) 15.21% (G:0.78% B:0.01%)  

2.  3ply  13/7 8/2(3)  eq: +1.043 (0.115) 
 Player: Opponent:  81.45% (G:39.07% B:0.47%) 18.55% (G:1.39% B:0.03%)  

3.  3ply  13/7(3) 8/2  eq: +1.023 (0.135) 
 Player: Opponent:  82.07% (G:32.06% B:0.59%) 17.93% (G:1.38% B:0.01%)  

4.  3ply  13/1 8/2(2)  eq: +1.010 (0.148) 
 Player: Opponent:  80.64% (G:38.76% B:0.47%) 19.36% (G:1.56% B:0.03%)  

5.  2ply  13/7(2) 13/1  eq: +1.005 (0.153) 
 Player: Opponent:  80.75% (G:28.29% B:0.33%) 19.25% (G:1.46% B:0.03%)  



53: Bar/22 7/2 


1.  XG Roller++  Bar/22 8/3  eq: 1.000 
 Player: Opponent:  16.80% (G:0.84% B:0.01%) 83.20% (G:17.40% B:0.16%)  

2.  XG Roller++  Bar/22 7/2  eq: 1.000 
 Player: Opponent:  17.30% (G:0.94% B:0.01%) 82.70% (G:19.31% B:0.25%)  

3.  4ply  Bar/22 6/1  eq: 1.052 (0.052) 
 Player: Opponent:  13.88% (G:0.56% B:0.01%) 86.12% (G:19.95% B:0.18%)  

4.  3ply  Bar/22 13/8  eq: 1.084 (0.084) 
 Player: Opponent:  16.43% (G:0.84% B:0.02%) 83.57% (G:26.98% B:0.36%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
82.92% (G:19.58% B:0.23%) 
82.45% (G:21.08% B:0.28%) 
Opponent Winning Chances: 
17.08% (G:0.85% B:0.02%) 
17.55% (G:0.94% B:0.02%) 
Cubeless Equities 
+0.931 
+1.649 
Cubeful Equities 
No double:  +0.987 (0.013)  
Double/Take:  +1.052 (+0.052)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


32: 13/8 


1.  Rollout^{1}  8/6 8/5  eq: +0.961 
 Player: Opponent:  82.89% (G:18.70% B:1.40%) 17.11% (G:0.55% B:0.01%)  Conf.: ± 0.005 (+0.956...+0.966)  [100.0%] Duration: 7 minutes 49 seconds 

2.  Rollout^{1}  13/8  eq: +0.873 (0.088) 
 Player: Opponent:  79.71% (G:16.36% B:0.49%) 20.29% (G:1.04% B:0.03%)  Conf.: ± 0.009 (+0.864...+0.882)  [0.0%] Duration: 6 minutes 06 seconds 

3.  XG Roller++  7/5 7/4  eq: +0.972 (+0.010) 
 Player: Opponent:  82.15% (G:18.60% B:0.34%) 17.85% (G:0.85% B:0.02%)  

4.  4ply  13/11 8/5  eq: +0.931 (0.030) 
 Player: Opponent:  82.99% (G:17.09% B:0.23%) 17.01% (G:1.57% B:0.03%)  

5.  4ply  13/10 8/6  eq: +0.912 (0.049) 
 Player: Opponent:  81.79% (G:19.01% B:0.34%) 18.21% (G:1.87% B:0.04%)  


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



31: 13/12 8/5 


1.  XG Roller++  13/12 8/5  eq: 0.881 
 Player: Opponent:  20.37% (G:1.19% B:0.02%) 79.63% (G:16.05% B:0.14%)  

2.  XG Roller++  8/7 8/5  eq: 0.894 (0.013) 
 Player: Opponent:  19.98% (G:1.15% B:0.02%) 80.02% (G:16.23% B:0.14%)  

3.  XG Roller++  8/5 3/2  eq: 0.902 (0.022) 
 Player: Opponent:  20.03% (G:1.22% B:0.02%) 79.97% (G:17.43% B:0.17%)  

4.  XG Roller++  13/9  eq: 0.921 (0.040) 
 Player: Opponent:  19.70% (G:1.14% B:0.02%) 80.30% (G:17.96% B:0.23%)  

5.  3ply  13/12 13/10  eq: 0.941 (0.060) 
 Player: Opponent:  18.51% (G:0.96% B:0.02%) 81.49% (G:17.17% B:0.21%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
79.45% (G:15.72% B:0.14%) 
79.32% (G:15.82% B:0.14%) 
Opponent Winning Chances: 
20.55% (G:1.15% B:0.01%) 
20.68% (G:1.11% B:0.01%) 
Cubeless Equities 
+0.804 
+1.510 
Cubeful Equities 
No double:  +0.891  
Double/Take:  +0.808 (0.083)  
Double/Pass:  +1.000 (+0.109) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 30.1% 


22: 8/6(2) 8/4 


1.  4ply  8/6(2) 8/4  eq: +1.078 
 Player: Opponent:  87.64% (G:18.78% B:0.14%) 12.36% (G:0.31% B:0.00%)  

2.  4ply  7/5(2) 6/4(2)  eq: +1.034 (0.044) 
 Player: Opponent:  83.47% (G:15.79% B:0.13%) 16.53% (G:0.62% B:0.01%)  

3.  4ply  8/4 7/5(2)  eq: +1.008 (0.070) 
 Player: Opponent:  84.32% (G:19.98% B:0.18%) 15.68% (G:1.10% B:0.03%)  

4.  3ply  8/4 6/4(2)  eq: +0.872 (0.206) 
 Player: Opponent:  80.03% (G:14.86% B:0.12%) 19.97% (G:1.62% B:0.01%)  

5.  2ply  8/6(3) 7/5  eq: +0.858 (0.219) 
 Player: Opponent:  79.35% (G:20.51% B:0.33%) 20.65% (G:0.78% B:0.02%)  



52: 13/6 


1.  XG Roller++  22/15  eq: 1.051 
 Player: Opponent:  13.41% (G:0.31% B:0.01%) 86.59% (G:18.99% B:0.17%)  

2.  XG Roller++  13/11 12/7  eq: 1.051 (0.001) 
 Player: Opponent:  13.73% (G:0.32% B:0.01%) 86.27% (G:19.48% B:0.14%)  

3.  XG Roller++  13/6  eq: 1.053 (0.002) 
 Player: Opponent:  13.50% (G:0.30% B:0.01%) 86.50% (G:19.34% B:0.15%)  

4.  XG Roller++  22/17 8/6  eq: 1.054 (0.004) 
 Player: Opponent:  13.31% (G:0.28% B:0.01%) 86.69% (G:18.97% B:0.17%)  

5.  XG Roller++  12/7 8/6  eq: 1.055 (0.004) 
 Player: Opponent:  13.47% (G:0.29% B:0.01%) 86.53% (G:19.29% B:0.14%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
86.20% (G:19.93% B:0.16%) 
86.41% (G:21.36% B:0.14%) 
Opponent Winning Chances: 
13.80% (G:0.28% B:0.00%) 
13.59% (G:0.32% B:0.01%) 
Cubeless Equities 
+1.006 
+1.837 
Cubeful Equities 
No double:  +1.048  
Double/Take:  +1.416 (+0.369)  
Double/Pass:  +1.000 (0.048) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 11.5% 


53: 7/4 7/2 


1.  3ply  7/4 7/2  eq: +1.132 
 Player: Opponent:  89.57% (G:19.95% B:0.16%) 10.43% (G:0.02% B:0.00%)  

2.  3ply  6/1 4/1  eq: +0.983 (0.148) 
 Player: Opponent:  81.60% (G:13.58% B:0.06%) 18.40% (G:0.87% B:0.00%)  

3.  2ply  7/4 6/1  eq: +0.809 (0.322) 
 Player: Opponent:  78.71% (G:17.94% B:0.22%) 21.29% (G:0.90% B:0.02%)  

4.  1ply  7/2 4/1  eq: +0.763 (0.369) 
 Player: Opponent:  75.90% (G:16.73% B:0.15%) 24.10% (G:1.95% B:0.01%)  

5.  1ply  6/1 5/2  eq: +0.548 (0.584) 
 Player: Opponent:  69.84% (G:13.17% B:0.12%) 30.16% (G:3.04% B:0.02%)  



52: 12/5 


1.  XG Roller++  22/17 12/10  eq: 1.109 
 Player: Opponent:  11.09% (G:0.01% B:0.00%) 88.91% (G:20.24% B:0.19%)  

2.  XG Roller++  22/17 6/4  eq: 1.109 (0.000) 
 Player: Opponent:  11.47% (G:0.02% B:0.00%) 88.53% (G:20.99% B:0.19%)  

3.  XG Roller++  22/15  eq: 1.109 (0.000) 
 Player: Opponent:  10.74% (G:0.01% B:0.00%) 89.26% (G:19.89% B:0.19%)  

4.  XG Roller++  22/17 8/6  eq: 1.114 (0.005) 
 Player: Opponent:  10.30% (G:0.01% B:0.00%) 89.70% (G:19.64% B:0.15%)  

5.  XG Roller++  12/7 6/4  eq: 1.116 (0.008) 
 Player: Opponent:  11.74% (G:0.02% B:0.00%) 88.26% (G:22.17% B:0.20%)  

6.  XG Roller++  12/5  eq: 1.125 (0.016) 
 Player: Opponent:  11.13% (G:0.01% B:0.00%) 88.87% (G:21.80% B:0.18%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
88.89% (G:21.92% B:0.44%) 
89.17% (G:23.63% B:0.18%) 
Opponent Winning Chances: 
11.11% (G:0.01% B:0.00%) 
10.83% (G:0.01% B:0.00%) 
Cubeless Equities 
+1.091 
+1.964 
Cubeful Equities 
No double:  +1.120  
Double/Take:  +1.654 (+0.534)  
Double/Pass:  +1.000 (0.120) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 18.3% 


63: 6/Off 4/1 


1.  3ply  6/Off 4/1  eq: +1.069 
 Player: Opponent:  86.70% (G:19.71% B:0.13%) 13.30% (G:0.00% B:0.00%)  

2.  1ply  6/Off 5/2  eq: +0.774 (0.295) 
 Player: Opponent:  73.93% (G:16.72% B:0.19%) 26.07% (G:0.00% B:0.00%)  



41: 8/4 5/4 


1.  XG Roller++  22/18 5/4  eq: 1.055 
 Player: Opponent:  14.27% (G:0.00% B:0.00%) 85.73% (G:22.72% B:0.11%)  

2.  XG Roller++  22/17  eq: 1.068 (0.013) 
 Player: Opponent:  13.47% (G:0.00% B:0.00%) 86.53% (G:22.32% B:0.12%)  

3.  XG Roller++  8/4 5/4  eq: 1.072 (0.017) 
 Player: Opponent:  15.06% (G:0.00% B:0.00%) 84.94% (G:25.65% B:0.14%)  

4.  XG Roller++  22/18 8/7  eq: 1.074 (0.019) 
 Player: Opponent:  13.31% (G:0.00% B:0.00%) 86.69% (G:22.37% B:0.12%)  

5.  3ply  22/18 3/2  eq: 1.110 (0.055) 
 Player: Opponent:  13.22% (G:0.00% B:0.00%) 86.78% (G:24.26% B:0.21%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.96% (G:25.89% B:0.95%) 
84.75% (G:29.40% B:0.32%) 
Opponent Winning Chances: 
15.04% (G:0.00% B:0.00%) 
15.25% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.069 
+1.775 
Cubeful Equities 
No double:  +1.074  
Double/Take:  +1.339 (+0.265)  
Double/Pass:  +1.000 (0.074) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 21.8% 


43: 6/2 4/1 


1.  XG Roller++  6/2 4/1  eq: +1.023 
 Player: Opponent:  84.24% (G:19.03% B:0.06%) 15.76% (G:0.00% B:0.00%)  

2.  XG Roller++  5/2 5/1  eq: +1.005 (0.018) 
 Player: Opponent:  82.26% (G:18.88% B:0.07%) 17.74% (G:0.00% B:0.00%)  

3.  1ply  5/2 4/Off  eq: +0.506 (0.517) 
 Player: Opponent:  64.87% (G:16.28% B:0.17%) 35.13% (G:0.00% B:0.00%)  

4.  1ply  6/2 5/2  eq: +0.472 (0.551) 
 Player: Opponent:  64.00% (G:14.23% B:0.12%) 36.00% (G:0.00% B:0.00%)  

5.  1ply  5/1 4/1  eq: +0.447 (0.575) 
 Player: Opponent:  63.42% (G:12.54% B:0.09%) 36.58% (G:0.00% B:0.00%)  



63: 22/13 


1.  XG Roller++  22/13  eq: 1.000 
 Player: Opponent:  16.52% (G:0.00% B:0.00%) 83.48% (G:14.54% B:0.06%)  

2.  XG Roller++  22/16 6/3  eq: 1.000 (0.000) 
 Player: Opponent:  16.35% (G:0.00% B:0.00%) 83.65% (G:18.08% B:0.09%)  

3.  XG Roller++  22/16 5/2  eq: 1.010 (0.010) 
 Player: Opponent:  15.99% (G:0.00% B:0.00%) 84.01% (G:18.53% B:0.10%)  

4.  3ply  22/16 4/1  eq: 1.094 (0.094) 
 Player: Opponent:  12.42% (G:0.00% B:0.00%) 87.58% (G:19.54% B:0.06%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
83.77% (G:15.49% B:0.15%) 
83.31% (G:25.42% B:0.15%) 
Opponent Winning Chances: 
16.23% (G:0.00% B:0.00%) 
16.69% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.897 
+1.713 
Cubeful Equities 
No double:  +0.959 (0.041)  ±0.003 (+0.956..+0.962) 
Double/Take:  +1.236 (+0.236)  ±0.004 (+1.232..+1.241) 
Double/Pass:  +1.000 

Best Cube action: Double / Pass 
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: 1 minute 43 seconds 


61: 6/5 6/Off 


1.  3ply  6/5 6/Off  eq: +1.000 
 Player: Opponent:  84.33% (G:12.76% B:0.02%) 15.67% (G:0.00% B:0.00%)  

2.  1ply  6/Off 1/Off  eq: +0.506 (0.494) 
 Player: Opponent:  65.34% (G:12.98% B:0.05%) 34.66% (G:0.00% B:0.00%)  

3.  1ply  6/Off 2/1  eq: +0.431 (0.569) 
 Player: Opponent:  63.41% (G:8.67% B:0.02%) 36.59% (G:0.00% B:0.00%)  

4.  1ply  6/Off 5/4  eq: 0.063 (1.063) 
 Player: Opponent:  46.79% (G:7.52% B:0.02%) 53.21% (G:0.00% B:0.00%)  



33: 13/4 6/3 


1.  XG Roller++  22/16 13/7  eq: 1.000 
 Player: Opponent:  15.09% (G:0.00% B:0.00%) 84.91% (G:7.43% B:0.03%)  

2.  XG Roller++  22/10  eq: 1.000 
 Player: Opponent:  14.77% (G:0.00% B:0.00%) 85.23% (G:7.16% B:0.03%)  

3.  XG Roller++  22/19 13/4  eq: 1.000 
 Player: Opponent:  14.98% (G:0.00% B:0.00%) 85.02% (G:8.96% B:0.04%)  

4.  XG Roller++  13/4 6/3  eq: 1.000 
 Player: Opponent:  15.49% (G:0.00% B:0.00%) 84.51% (G:12.16% B:0.05%)  

5.  XG Roller++  22/16 13/10 6/3  eq: 1.000 
 Player: Opponent:  14.63% (G:0.00% B:0.00%) 85.37% (G:10.75% B:0.04%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
84.62% (G:12.09% B:0.13%) 
84.26% (G:14.83% B:0.10%) 
Opponent Winning Chances: 
15.38% (G:0.00% B:0.00%) 
15.74% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.865 
+1.754 
Cubeful Equities 
No double:  +0.855 (0.145)  ±0.002 (+0.853..+0.857) 
Double/Take:  +1.304 (+0.304)  ±0.004 (+1.300..+1.309) 
Double/Pass:  +1.000 

Best Cube action: Double / Pass 
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: 45.5 seconds 


53: 5/2 5/Off 


1.  XG Roller++  5/2 5/Off  eq: +0.444 
 Player: Opponent:  69.37% (G:7.93% B:0.02%) 30.63% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 4/1  eq: +0.430 (0.014) 
 Player: Opponent:  66.32% (G:6.73% B:0.02%) 33.68% (G:0.00% B:0.00%)  



64: 22/12 


1.  XG Roller++  22/12  eq: 1.000 
 Player: Opponent:  9.17% (G:0.00% B:0.00%) 90.83% (G:6.20% B:0.01%)  

2.  XG Roller++  22/18 22/16  eq: 1.093 (0.093) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:6.50% B:0.00%)  

3.  4ply  22/16 6/2  eq: 1.069 (0.069) 
 Player: Opponent:  6.42% (G:0.00% B:0.00%) 93.58% (G:13.65% B:0.02%)  

4.  3ply  22/16 5/1  eq: 1.099 (0.099) 
 Player: Opponent:  5.38% (G:0.00% B:0.00%) 94.62% (G:14.00% B:0.03%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
90.88% (G:6.17% B:0.03%) 
90.81% (G:6.88% B:0.01%) 
Opponent Winning Chances: 
9.12% (G:0.00% B:0.00%) 
9.19% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.906 
+2.035 
Cubeful Equities 
No double:  +0.882 (0.118)  ±0.002 (+0.880..+0.884) 
Double/Take:  +1.772 (+0.772)  ±0.003 (+1.769..+1.775) 
Double/Pass:  +1.000 

Best Cube action: Double / Pass 
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: 12.4 seconds 


44: 5/1 4/Off(2) 2/Off 


1.  3ply  5/1 4/Off(2) 2/Off  eq: +1.133 
 Player: Opponent:  100.00% (G:9.32% B:0.00%) 0.00% (G:0.00% B:0.00%)  



61: 22/21 12/6 


1.  XG Roller++  22/21 12/6  eq: 1.124 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:8.71% B:0.00%)  

2.  XG Roller++  22/15  eq: 1.129 (0.005) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:9.04% B:0.00%)  

3.  XG Roller++  22/16 12/11  eq: 1.129 (0.005) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:9.05% B:0.00%)  

4.  XG Roller++  12/6 3/2  eq: 1.163 (0.038) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:11.39% B:0.00%)  

5.  XG Roller++  12/5  eq: 1.163 (0.038) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:11.40% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:8.74% B:0.00%) 
100.00% (G:12.60% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.125 
+2.429 
Cubeful Equities 
No double:  +1.125  
Double/Take:  +2.429 (+1.304)  
Double/Pass:  +1.000 (0.125) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 8.7% 


42: 2/Off(2) 


1.  3ply  2/Off(2)  eq: +1.077 
 Player: Opponent:  100.00% (G:5.38% B:0.00%) 0.00% (G:0.00% B:0.00%)  



64: 21/11 


1.  XG Roller++  21/11  eq: 1.014 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.98% B:0.00%)  

2.  XG Roller++  21/15 6/2  eq: 1.085 (0.071) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:5.96% B:0.00%)  

3.  4ply  21/15 5/1  eq: 1.086 (0.072) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:6.03% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:0.98% B:0.00%) 
100.00% (G:1.94% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.014 
+2.429 
Cubeful Equities 
No double:  +1.014  
Double/Take:  +2.429 (+1.415)  
Double/Pass:  +1.000 (0.014) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 1.0% 


61: 2/Off 1/Off 


1.  XG Roller++  2/Off 1/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  XG Roller++  2/1 2/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  



52: 11/6 2/Off 


1.  XG Roller++  11/6 2/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  XG Roller++  11/6 5/3  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

3.  XG Roller++  11/4  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

4.  XG Roller++  11/6 4/2  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

5.  XG Roller++  11/9 6/1  eq: 1.024 (0.024) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:1.70% B:0.00%)  



Resigns a Single Game 1pt. 



