21: 13/11 6/5 


1.  Book^{1}  13/11 6/5  eq: +0.240 
 Player: Opponent:  50.82% (G:14.58% B:0.56%) 49.18% (G:15.58% B:2.01%)  Conf.: ± 0.003 (+0.237...+0.242)  [100.0%] 

2.  Book^{1}  24/23 13/11  eq: +0.217 (0.022) 
 Player: Opponent:  50.24% (G:13.96% B:0.52%) 49.76% (G:14.04% B:1.35%)  Conf.: ± 0.002 (+0.215...+0.220)  [0.0%] 

3.  Book^{2}  13/10  eq: +0.168 (0.071) 
 Player: Opponent:  48.75% (G:13.35% B:0.52%) 51.25% (G:13.71% B:0.70%)  

4.  Book^{2}  24/21  eq: +0.161 (0.079) 
 Player: Opponent:  49.02% (G:11.99% B:0.45%) 50.98% (G:12.30% B:0.48%)  

5.  Book^{2}  24/23 24/22  eq: +0.145 (0.095) 
 Player: Opponent:  48.35% (G:12.22% B:0.46%) 51.65% (G:12.93% B:0.51%)  


^{1} Generated by Steven Carey on 11/08/2012 using eXtreme Gammon 2.00 46656 Games rolled with Variance Reduction. Dice Seed: 99179712 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++



53: 8/3 6/3 


1.  XG Roller++  8/3 6/3  eq: 0.388 
 Player: Opponent:  45.18% (G:13.05% B:0.68%) 54.82% (G:16.89% B:0.77%)  

2.  XG Roller++  24/21 13/8  eq: 0.411 (0.022) 
 Player: Opponent:  44.90% (G:11.61% B:0.60%) 55.10% (G:17.18% B:0.66%)  

3.  Book^{1}  24/16  eq: 0.533 (0.145) 
 Player: Opponent:  43.41% (G:9.87% B:0.46%) 56.59% (G:18.03% B:0.67%)  

4.  Book^{1}  13/5  eq: 0.547 (0.158) 
 Player: Opponent:  42.86% (G:11.69% B:0.59%) 57.14% (G:17.81% B:1.00%)  

5.  3ply  13/10 13/8  eq: 0.456 (0.067) 
 Player: Opponent:  43.28% (G:11.92% B:0.60%) 56.72% (G:17.23% B:0.99%)  


^{1} Generated by Steven Carey on 11/08/2012 using eXtreme Gammon 2.00 Analyzed in XG Roller++



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
54.87% (G:17.01% B:0.79%) 
54.95% (G:16.96% B:0.78%) 
Opponent Winning Chances: 
45.13% (G:13.23% B:0.69%) 
45.05% (G:13.38% B:0.73%) 
Cubeless Equities 
+0.104 
+0.349 
Cubeful Equities 
No double:  +0.395  
Double/Take:  +0.326 (0.069)  
Double/Pass:  +1.000 (+0.605) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.3% 


61: 24/18 6/5 


1.  Rollout^{1}  11/5 6/5  eq: +0.425 
 Player: Opponent:  55.40% (G:18.28% B:0.84%) 44.60% (G:13.47% B:1.67%)  Conf.: ± 0.014 (+0.412...+0.439)  [100.0%] Duration: 16 minutes 01 second 

2.  Rollout^{1}  24/18 6/5  eq: +0.383 (0.042) 
 Player: Opponent:  55.79% (G:15.74% B:0.71%) 44.21% (G:14.74% B:1.88%)  Conf.: ± 0.015 (+0.368...+0.398)  [0.0%] Duration: 18 minutes 22 seconds 

3.  XG Roller++  24/23 11/5  eq: +0.399 (0.026) 
 Player: Opponent:  54.95% (G:17.19% B:0.69%) 45.05% (G:12.57% B:0.56%)  

4.  4ply  13/7 6/5  eq: +0.333 (0.092) 
 Player: Opponent:  53.86% (G:15.92% B:0.73%) 46.14% (G:14.35% B:1.03%)  

5.  3ply  11/5 8/7  eq: +0.268 (0.158) 
 Player: Opponent:  52.01% (G:15.89% B:0.73%) 47.99% (G:14.29% B:0.91%)  


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



21: 13/11 8/7* 


1.  Rollout^{1}  24/21  eq: 0.529 
 Player: Opponent:  40.47% (G:11.18% B:1.16%) 59.53% (G:16.67% B:0.67%)  Conf.: ± 0.013 (0.542...0.516)  [100.0%] Duration: 16 minutes 38 seconds 

2.  Rollout^{1}  13/11 8/7*  eq: 0.563 (0.034) 
 Player: Opponent:  40.49% (G:13.01% B:2.38%) 59.51% (G:19.86% B:1.37%)  Conf.: ± 0.016 (0.579...0.547)  [0.0%] Duration: 14 minutes 01 second 

3.  XG Roller++  24/22 8/7*  eq: 0.548 (0.019) 
 Player: Opponent:  40.78% (G:11.77% B:0.58%) 59.22% (G:18.08% B:1.05%)  

4.  4ply  24/23 24/22  eq: 0.549 (0.020) 
 Player: Opponent:  39.16% (G:9.28% B:0.30%) 60.84% (G:15.33% B:0.63%)  

5.  3ply  24/22 6/5  eq: 0.606 (0.077) 
 Player: Opponent:  38.44% (G:9.09% B:0.37%) 61.56% (G:16.81% B:0.79%)  


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



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
59.49% (G:20.01% B:1.41%) 
59.62% (G:19.97% B:1.39%) 
Opponent Winning Chances: 
40.51% (G:13.21% B:1.51%) 
40.38% (G:13.21% B:2.26%) 
Cubeless Equities 
+0.214 
+0.608 
Cubeful Equities 
No double:  +0.584  ±0.017 (+0.566..+0.601) 
Double/Take:  +0.560 (0.023)  ±0.022 (+0.538..+0.582) 
Double/Pass:  +1.000 (+0.416) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 5.1% 
Rollout details 
648 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
94.8% 
Take Decision confidence: 
100.0% 
Duration: 14 minutes 13 seconds 


32: Bar/23 13/10 


1.  Rollout^{1}  Bar/23 13/10  eq: +0.420 
 Player: Opponent:  56.26% (G:18.03% B:1.04%) 43.74% (G:16.83% B:1.87%)  Conf.: ± 0.015 (+0.405...+0.435)  [95.3%] Duration: 16 minutes 09 seconds 

2.  Rollout^{1}  Bar/23 24/21  eq: +0.403 (0.017) 
 Player: Opponent:  55.72% (G:17.02% B:0.89%) 44.28% (G:16.50% B:1.64%)  Conf.: ± 0.013 (+0.390...+0.416)  [4.7%] Duration: 16 minutes 10 seconds 

3.  4ply  Bar/23 8/5  eq: +0.387 (0.033) 
 Player: Opponent:  54.97% (G:17.03% B:1.15%) 45.03% (G:15.66% B:0.70%)  

4.  3ply  Bar/23 11/8  eq: +0.329 (0.091) 
 Player: Opponent:  54.44% (G:15.87% B:0.94%) 45.56% (G:14.70% B:0.53%)  

5.  2ply  Bar/20  eq: +0.254 (0.165) 
 Player: Opponent:  52.40% (G:15.34% B:1.07%) 47.60% (G:18.35% B:0.86%)  


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



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


1.  4ply  24/23 8/7 6/5(2)  eq: 0.189 
 Player: Opponent:  49.54% (G:15.80% B:0.78%) 50.46% (G:14.72% B:0.70%)  

2.  4ply  11/10 8/7 6/5(2)  eq: 0.252 (0.063) 
 Player: Opponent:  48.02% (G:15.90% B:0.83%) 51.98% (G:15.52% B:0.90%)  

3.  3ply  6/5(2) 3/2*(2)  eq: 0.288 (0.099) 
 Player: Opponent:  47.53% (G:17.90% B:1.23%) 52.47% (G:16.70% B:1.45%)  

4.  3ply  3/2*(2) 2/1*(2)  eq: 0.378 (0.189) 
 Player: Opponent:  44.47% (G:19.87% B:0.86%) 55.53% (G:17.05% B:1.20%)  

5.  2ply  24/23 8/7 3/2*(2)  eq: 0.404 (0.215) 
 Player: Opponent:  43.12% (G:13.37% B:0.60%) 56.88% (G:16.37% B:0.84%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.46% (G:14.72% B:0.70%) 
50.30% (G:15.07% B:0.68%) 
Opponent Winning Chances: 
49.54% (G:15.80% B:0.78%) 
49.70% (G:15.89% B:0.84%) 
Cubeless Equities 
0.024 
+0.104 
Cubeful Equities 
No double:  +0.189  
Double/Take:  +0.093 (0.096)  
Double/Pass:  +1.000 (+0.811) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.5% 


55: 13/3 10/5 8/3 


1.  Rollout^{1}  11/1* 10/5 6/1  eq: +0.203 
 Player: Opponent:  47.42% (G:20.16% B:0.54%) 52.58% (G:15.88% B:1.32%)  Conf.: ± 0.012 (+0.191...+0.215)  [99.6%] Duration: 11 minutes 11 seconds 

2.  Rollout^{1}  13/3 10/5 8/3  eq: +0.179 (0.024) 
 Player: Opponent:  48.29% (G:18.18% B:0.77%) 51.71% (G:16.25% B:1.74%)  Conf.: ± 0.013 (+0.165...+0.192)  [0.4%] Duration: 12 minutes 02 seconds 

3.  4ply  13/3 11/6 8/3  eq: +0.130 (0.073) 
 Player: Opponent:  47.02% (G:16.81% B:0.83%) 52.98% (G:16.33% B:0.90%)  

4.  4ply  13/8 11/1* 6/1  eq: +0.111 (0.092) 
 Player: Opponent:  46.02% (G:17.69% B:0.49%) 53.98% (G:16.08% B:0.84%)  

5.  3ply  13/3 8/3 6/1*  eq: +0.071 (0.131) 
 Player: Opponent:  45.19% (G:17.57% B:0.73%) 54.81% (G:19.50% B:1.76%)  


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



51: 24/23 11/6 


1.  3ply  24/23 11/6  eq: 0.225 
 Player: Opponent:  48.32% (G:14.44% B:0.61%) 51.68% (G:14.16% B:0.64%)  

2.  3ply  24/23 13/8  eq: 0.317 (0.092) 
 Player: Opponent:  48.11% (G:12.59% B:0.57%) 51.89% (G:17.70% B:1.03%)  

3.  2ply  7/2* 2/1*  eq: 0.391 (0.167) 
 Player: Opponent:  46.26% (G:18.78% B:0.84%) 53.74% (G:22.84% B:2.03%)  

4.  2ply  11/5  eq: 0.477 (0.252) 
 Player: Opponent:  45.48% (G:14.07% B:0.92%) 54.52% (G:24.44% B:0.80%)  

5.  2ply  13/7  eq: 0.517 (0.292) 
 Player: Opponent:  45.48% (G:13.81% B:1.01%) 54.52% (G:25.73% B:1.13%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.51% (G:14.32% B:0.65%) 
51.56% (G:14.34% B:0.64%) 
Opponent Winning Chances: 
48.49% (G:14.63% B:0.60%) 
48.44% (G:14.87% B:0.62%) 
Cubeless Equities 
+0.006 
+0.144 
Cubeful Equities 
No double:  +0.219  
Double/Take:  +0.128 (0.091)  
Double/Pass:  +1.000 (+0.781) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.4% 


63: 24/15 


1.  XG Roller++  24/15  eq: +0.262 
 Player: Opponent:  52.95% (G:13.72% B:0.68%) 47.05% (G:16.89% B:0.73%)  

2.  XG Roller++  24/21 23/17  eq: +0.252 (0.010) 
 Player: Opponent:  52.60% (G:14.03% B:0.76%) 47.40% (G:17.76% B:0.80%)  

3.  XG Roller++  24/21 11/5  eq: +0.235 (0.027) 
 Player: Opponent:  51.12% (G:14.71% B:0.73%) 48.88% (G:15.62% B:0.53%)  

4.  4ply  23/17 11/8  eq: +0.183 (0.079) 
 Player: Opponent:  50.54% (G:13.12% B:0.63%) 49.46% (G:15.39% B:0.55%)  

5.  3ply  23/14  eq: +0.130 (0.132) 
 Player: Opponent:  49.42% (G:13.31% B:0.61%) 50.58% (G:16.71% B:0.70%)  



55: 23/18(2) 7/2*(2) 


1.  3ply  23/18(2) 7/2*(2)  eq: +0.570 
 Player: Opponent:  67.30% (G:32.16% B:1.45%) 32.70% (G:6.91% B:0.25%)  

2.  3ply  23/18(2) 13/8(2)  eq: +0.465 (0.106) 
 Player: Opponent:  68.04% (G:16.60% B:0.44%) 31.96% (G:6.55% B:0.18%)  

3.  2ply  23/18 13/8 7/2*(2)  eq: +0.359 (0.212) 
 Player: Opponent:  62.68% (G:35.40% B:1.84%) 37.32% (G:12.43% B:0.64%)  

4.  2ply  23/13 7/2*(2)  eq: +0.212 (0.358) 
 Player: Opponent:  59.21% (G:27.65% B:1.01%) 40.79% (G:11.11% B:0.32%)  

5.  2ply  23/13(2)  eq: +0.184 (0.386) 
 Player: Opponent:  58.56% (G:5.53% B:0.09%) 41.44% (G:3.92% B:0.05%)  



21: Bar/24 15/13 


1.  3ply  Bar/24 15/13  eq: 0.340 
 Player: Opponent:  36.47% (G:8.49% B:0.26%) 63.53% (G:20.90% B:0.36%)  

2.  2ply  Bar/24 11/9  eq: 0.503 (0.162) 
 Player: Opponent:  32.74% (G:8.23% B:0.32%) 67.26% (G:31.29% B:1.58%)  

3.  2ply  Bar/24 6/4  eq: 0.555 (0.215) 
 Player: Opponent:  31.74% (G:8.91% B:0.43%) 68.26% (G:37.71% B:2.62%)  

4.  2ply  Bar/24 5/3  eq: 0.596 (0.256) 
 Player: Opponent:  30.16% (G:7.72% B:0.30%) 69.84% (G:33.66% B:1.85%)  

5.  1ply  Bar/24 13/11  eq: 0.693 (0.352) 
 Player: Opponent:  27.64% (G:6.91% B:0.24%) 72.36% (G:35.57% B:1.98%)  



52: 13/6 


1.  XG Roller++  13/6  eq: +0.202 
 Player: Opponent:  59.18% (G:15.23% B:0.16%) 40.82% (G:8.67% B:0.25%)  

2.  XG Roller++  13/11 13/8  eq: +0.192 (0.010) 
 Player: Opponent:  59.09% (G:16.13% B:0.24%) 40.91% (G:8.95% B:0.32%)  

3.  3ply  13/11 6/1*  eq: +0.037 (0.166) 
 Player: Opponent:  55.33% (G:21.91% B:0.43%) 44.67% (G:12.50% B:0.48%)  

4.  2ply  13/8 6/4  eq: 0.064 (0.266) 
 Player: Opponent:  53.36% (G:13.70% B:0.22%) 46.64% (G:13.82% B:0.42%)  

5.  2ply  6/1* 3/1  eq: 0.114 (0.317) 
 Player: Opponent:  50.85% (G:20.20% B:0.22%) 49.14% (G:14.54% B:0.37%)  



61: 11/4 


1.  3ply  11/4  eq: 0.151 
 Player: Opponent:  41.25% (G:9.94% B:0.28%) 58.75% (G:15.56% B:0.15%)  

2.  3ply  11/5 6/5  eq: 0.277 (0.127) 
 Player: Opponent:  38.13% (G:7.59% B:0.21%) 61.87% (G:16.19% B:0.14%)  

3.  2ply  11/5 3/2  eq: 0.386 (0.235) 
 Player: Opponent:  35.21% (G:8.05% B:0.19%) 64.79% (G:22.80% B:0.32%)  

4.  2ply  24/18 11/10  eq: 0.499 (0.348) 
 Player: Opponent:  33.25% (G:6.36% B:0.24%) 66.75% (G:27.90% B:0.55%)  

5.  2ply  24/17  eq: 0.505 (0.354) 
 Player: Opponent:  33.39% (G:5.88% B:0.24%) 66.61% (G:28.32% B:0.58%)  



64: 13/3 


1.  3ply  13/3  eq: +0.021 
 Player: Opponent:  54.98% (G:11.41% B:0.12%) 45.02% (G:9.90% B:0.32%)  

2.  3ply  13/7 6/2  eq: 0.144 (0.166) 
 Player: Opponent:  50.58% (G:12.02% B:0.15%) 49.42% (G:13.48% B:0.38%)  

3.  2ply  13/9 13/7  eq: 0.245 (0.266) 
 Player: Opponent:  49.19% (G:12.25% B:0.28%) 50.81% (G:18.71% B:1.01%)  

4.  2ply  18/8  eq: 0.326 (0.347) 
 Player: Opponent:  45.96% (G:12.08% B:0.43%) 54.04% (G:16.75% B:0.41%)  

5.  1ply  13/7 5/1*  eq: 0.654 (0.675) 
 Player: Opponent:  40.99% (G:12.35% B:0.19%) 59.01% (G:23.24% B:1.38%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
44.83% (G:10.28% B:0.32%) 
44.91% (G:10.23% B:0.30%) 
Opponent Winning Chances: 
55.17% (G:10.97% B:0.09%) 
55.09% (G:11.35% B:0.11%) 
Cubeless Equities 
0.122 
0.155 
Cubeful Equities 
No double:  0.040  
Double/Take:  0.210 (0.170)  
Double/Pass:  +1.000 (+1.040) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.3% 


64: 24/14 


1.  Rollout^{1}  8/4 8/2  eq: 0.034 
 Player: Opponent:  45.15% (G:13.23% B:0.32%) 54.85% (G:10.42% B:0.37%)  Conf.: ± 0.010 (0.043...0.024)  [100.0%] Duration: 4 minutes 51 seconds 

2.  Rollout^{1}  24/14  eq: 0.194 (0.160) 
 Player: Opponent:  42.58% (G:4.22% B:0.18%) 57.42% (G:9.46% B:0.25%)  Conf.: ± 0.009 (0.203...0.185)  [0.0%] Duration: 6 minutes 05 seconds 

3.  XG Roller++  13/3  eq: 0.192 (0.158) 
 Player: Opponent:  40.70% (G:11.36% B:0.41%) 59.30% (G:14.97% B:0.30%)  

4.  2ply  24/18 6/2  eq: 0.230 (0.196) 
 Player: Opponent:  40.20% (G:6.50% B:0.20%) 59.80% (G:14.98% B:0.15%)  

5.  2ply  24/18 8/4  eq: 0.235 (0.201) 
 Player: Opponent:  39.70% (G:8.61% B:0.29%) 60.30% (G:19.73% B:0.27%)  


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



63: 13/10 13/7 


1.  3ply  13/10 13/7  eq: 0.033 
 Player: Opponent:  50.24% (G:1.76% B:0.01%) 49.76% (G:1.74% B:0.05%)  

2.  2ply  13/4  eq: 0.306 (0.273) 
 Player: Opponent:  43.10% (G:6.28% B:0.11%) 56.90% (G:8.24% B:0.21%)  

3.  1ply  13/7 6/3  eq: 0.394 (0.361) 
 Player: Opponent:  40.00% (G:3.84% B:0.07%) 60.00% (G:7.65% B:0.26%)  

4.  1ply  18/9  eq: 0.458 (0.425) 
 Player: Opponent:  37.99% (G:5.55% B:0.09%) 62.01% (G:8.85% B:0.18%)  

5.  1ply  13/7 5/2  eq: 0.521 (0.489) 
 Player: Opponent:  36.95% (G:3.19% B:0.04%) 63.05% (G:9.90% B:0.40%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
49.93% (G:1.89% B:0.03%) 
49.95% (G:2.02% B:0.04%) 
Opponent Winning Chances: 
50.07% (G:1.56% B:0.01%) 
50.05% (G:1.85% B:0.01%) 
Cubeless Equities 
0.001 
0.049 
Cubeful Equities 
No double:  +0.036  
Double/Take:  0.161 (0.197)  
Double/Pass:  +1.000 (+0.964) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.5% 


43: 14/10 13/10 


1.  3ply  14/10 13/10  eq: +0.021 
 Player: Opponent:  49.42% (G:1.90% B:0.03%) 50.58% (G:1.74% B:0.01%)  

2.  3ply  6/2 5/2  eq: 0.060 (0.082) 
 Player: Opponent:  46.44% (G:2.87% B:0.12%) 53.56% (G:4.38% B:0.04%)  

3.  3ply  13/6  eq: 0.069 (0.090) 
 Player: Opponent:  46.26% (G:2.48% B:0.07%) 53.74% (G:3.37% B:0.03%)  

4.  3ply  5/1 4/1  eq: 0.076 (0.097) 
 Player: Opponent:  46.00% (G:2.64% B:0.09%) 54.00% (G:3.86% B:0.02%)  

5.  3ply  8/5 8/4  eq: 0.131 (0.152) 
 Player: Opponent:  44.26% (G:3.00% B:0.12%) 55.74% (G:4.06% B:0.02%)  



54: 10/1 


1.  Rollout^{1}  6/2 6/1  eq: 0.082 
 Player: Opponent:  48.90% (G:1.93% B:0.05%) 51.10% (G:3.15% B:0.13%)  Conf.: ± 0.007 (0.089...0.074)  [100.0%] Duration: 4 minutes 01 second 

2.  Rollout^{1}  10/1  eq: 0.106 (0.024) 
 Player: Opponent:  47.95% (G:2.06% B:0.06%) 52.05% (G:2.83% B:0.09%)  Conf.: ± 0.007 (0.113...0.099)  [0.0%] Duration: 3 minutes 52 seconds 

3.  XG Roller++  6/1 5/1  eq: 0.081 (+0.000) 
 Player: Opponent:  48.88% (G:1.71% B:0.01%) 51.12% (G:3.15% B:0.09%)  

4.  XG Roller++  10/5 6/2  eq: 0.108 (0.026) 
 Player: Opponent:  47.82% (G:2.18% B:0.03%) 52.18% (G:3.07% B:0.07%)  

5.  XG Roller++  7/3 6/1  eq: 0.124 (0.042) 
 Player: Opponent:  47.42% (G:2.06% B:0.03%) 52.58% (G:3.34% B:0.10%)  


^{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: 
51.73% (G:2.31% B:0.03%) 
51.83% (G:2.36% B:0.03%) 
Opponent Winning Chances: 
48.27% (G:1.56% B:0.00%) 
48.17% (G:1.60% B:0.00%) 
Cubeless Equities 
+0.038 
+0.028 
Cubeful Equities 
No double:  +0.094  
Double/Take:  0.082 (0.177)  
Double/Pass:  +1.000 (+0.906) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.0% 


41: 6/2 5/4 


1.  4ply  6/2 5/4  eq: +0.084 
 Player: Opponent:  50.69% (G:2.72% B:0.06%) 49.31% (G:1.77% B:0.00%)  

2.  4ply  5/4 5/1  eq: +0.039 (0.044) 
 Player: Opponent:  49.27% (G:2.96% B:0.06%) 50.73% (G:2.38% B:0.02%)  

3.  4ply  6/1  eq: +0.029 (0.054) 
 Player: Opponent:  49.01% (G:2.87% B:0.06%) 50.99% (G:2.55% B:0.02%)  

4.  4ply  6/2 3/2  eq: +0.026 (0.058) 
 Player: Opponent:  48.91% (G:2.85% B:0.07%) 51.09% (G:2.55% B:0.03%)  

5.  3ply  5/1 4/3  eq: 0.003 (0.086) 
 Player: Opponent:  48.29% (G:2.13% B:0.02%) 51.71% (G:2.20% B:0.00%)  



21: 6/5 3/1 


1.  Rollout^{1}  6/4 5/4  eq: 0.107 
 Player: Opponent:  47.63% (G:2.95% B:0.07%) 52.37% (G:2.93% B:0.14%)  Conf.: ± 0.007 (0.113...0.100)  [100.0%] Duration: 3 minutes 12 seconds 

2.  Rollout^{1}  6/5 3/1  eq: 0.134 (0.028) 
 Player: Opponent:  46.87% (G:2.04% B:0.02%) 53.13% (G:2.42% B:0.07%)  Conf.: ± 0.006 (0.140...0.128)  [0.0%] Duration: 3 minutes 18 seconds 

3.  XG Roller++  6/4 3/2  eq: 0.114 (0.008) 
 Player: Opponent:  47.32% (G:2.34% B:0.03%) 52.68% (G:2.84% B:0.08%)  

4.  XG Roller++  6/5 6/4  eq: 0.120 (0.014) 
 Player: Opponent:  47.17% (G:2.40% B:0.03%) 52.83% (G:2.74% B:0.08%)  

5.  XG Roller++  6/4 2/1  eq: 0.139 (0.033) 
 Player: Opponent:  46.83% (G:2.14% B:0.02%) 53.17% (G:3.07% B:0.11%)  


^{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: 
52.53% (G:2.24% B:0.02%) 
52.55% (G:2.24% B:0.02%) 
Opponent Winning Chances: 
47.47% (G:1.84% B:0.01%) 
47.45% (G:1.86% B:0.01%) 
Cubeless Equities 
+0.051 
+0.048 
Cubeful Equities 
No double:  +0.114  
Double/Take:  0.058 (0.172)  
Double/Pass:  +1.000 (+0.886) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.0% 


22: 10/8 10/6 4/2 


1.  Rollout^{1}  10/8 10/4  eq: +0.176 
 Player: Opponent:  54.56% (G:2.19% B:0.06%) 45.44% (G:1.25% B:0.00%)  Conf.: ± 0.006 (+0.170...+0.182)  [100.0%] Duration: 2 minutes 56 seconds 

2.  Rollout^{1}  10/6(2)  eq: +0.156 (0.021) 
 Player: Opponent:  53.87% (G:2.44% B:0.08%) 46.13% (G:1.03% B:0.02%)  Conf.: ± 0.007 (+0.149...+0.162)  [0.0%] Duration: 2 minutes 41 seconds 

3.  Rollout^{1}  10/8 10/6 4/2  eq: +0.148 (0.028) 
 Player: Opponent:  53.80% (G:2.37% B:0.07%) 46.20% (G:1.54% B:0.03%)  Conf.: ± 0.006 (+0.142...+0.154)  [0.0%] Duration: 2 minutes 43 seconds 

4.  Rollout^{1}  8/6 8/2  eq: +0.131 (0.045) 
 Player: Opponent:  52.99% (G:2.88% B:0.09%) 47.01% (G:1.89% B:0.08%)  Conf.: ± 0.007 (+0.124...+0.137)  [0.0%] Duration: 2 minutes 58 seconds 

5.  XG Roller++  10/8(2) 3/1(2)  eq: +0.122 (0.055) 
 Player: Opponent:  53.02% (G:2.14% B:0.04%) 46.98% (G:2.10% B:0.04%)  


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



44: 18/10(2) 


1.  XG Roller++  18/10(2)  eq: +0.908 
 Player: Opponent:  81.03% (G:0.00% B:0.00%) 18.97% (G:0.00% B:0.00%)  

2.  XG Roller++  18/14(2) 7/3 6/2  eq: +0.645 (0.263) 
 Player: Opponent:  72.73% (G:0.18% B:0.00%) 27.27% (G:0.49% B:0.02%)  

3.  2ply  18/14(2) 6/2(2)  eq: +0.604 (0.304) 
 Player: Opponent:  72.26% (G:0.01% B:0.00%) 27.74% (G:0.05% B:0.00%)  

4.  2ply  18/14(2) 7/3 5/1  eq: +0.587 (0.321) 
 Player: Opponent:  71.81% (G:0.02% B:0.00%) 28.19% (G:0.04% B:0.00%)  

5.  2ply  18/14(2) 6/2 5/1  eq: +0.580 (0.328) 
 Player: Opponent:  71.55% (G:0.02% B:0.00%) 28.45% (G:0.04% B:0.00%)  



52: 13/11 13/8 


1.  XG Roller++  13/6  eq: 1.000 
 Player: Opponent:  16.21% (G:0.00% B:0.00%) 83.79% (G:0.00% B:0.00%)  

2.  XG Roller++  13/11 13/8  eq: 1.000 
 Player: Opponent:  15.98% (G:0.00% B:0.00%) 84.02% (G:0.00% B:0.00%)  

3.  XG Roller++  13/11 8/3  eq: 1.000 
 Player: Opponent:  15.98% (G:0.00% B:0.00%) 84.02% (G:0.00% B:0.00%)  

4.  XG Roller++  8/6 8/3  eq: 1.000 
 Player: Opponent:  15.94% (G:0.00% B:0.00%) 84.06% (G:0.00% B:0.00%)  

5.  XG Roller++  13/8 6/4  eq: 1.000 
 Player: Opponent:  15.31% (G:0.00% B:0.00%) 84.69% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.03% (G:0.00% B:0.00%) 
84.08% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
15.97% (G:0.00% B:0.00%) 
15.92% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.681 
+1.289 
Cubeful Equities 
No double:  +0.917 (0.083)  
Double/Take:  +1.110 (+0.110)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


64: 10/6 10/4 


1.  XG Roller++  10/6 10/4  eq: +0.962 
 Player: Opponent:  87.74% (G:0.00% B:0.00%) 12.26% (G:0.00% B:0.00%)  

2.  XG Roller++  10/4 7/3  eq: +0.961 (0.002) 
 Player: Opponent:  87.35% (G:0.00% B:0.00%) 12.65% (G:0.00% B:0.00%)  

3.  XG Roller++  10/4 6/2  eq: +0.952 (0.010) 
 Player: Opponent:  86.18% (G:0.00% B:0.00%) 13.82% (G:0.00% B:0.00%)  

4.  XG Roller++  10/4 5/1  eq: +0.948 (0.015) 
 Player: Opponent:  85.49% (G:0.00% B:0.00%) 14.51% (G:0.00% B:0.00%)  

5.  XG Roller++  10/6 7/1  eq: +0.946 (0.016) 
 Player: Opponent:  85.15% (G:0.00% B:0.00%) 14.85% (G:0.00% B:0.00%)  



42: 8/6 8/4 


1.  XG Roller++  8/6 8/4  eq: 1.000 
 Player: Opponent:  9.81% (G:0.00% B:0.00%) 90.19% (G:0.00% B:0.00%)  

2.  XG Roller++  8/4 6/4  eq: 1.000 
 Player: Opponent:  8.91% (G:0.00% B:0.00%) 91.09% (G:0.00% B:0.00%)  

3.  XG Roller++  8/4 3/1  eq: 1.000 
 Player: Opponent:  8.86% (G:0.00% B:0.00%) 91.14% (G:0.00% B:0.00%)  

4.  XG Roller++  11/9 8/4  eq: 1.000 
 Player: Opponent:  8.86% (G:0.00% B:0.00%) 91.14% (G:0.00% B:0.00%)  

5.  XG Roller++  11/7 6/4  eq: 1.000 
 Player: Opponent:  7.96% (G:0.00% B:0.00%) 92.04% (G:0.00% B:0.00%)  



Double/Pass 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
90.17% (G:0.00% B:0.00%) 
90.11% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
9.83% (G:0.00% B:0.00%) 
9.89% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.803 
+1.504 
Cubeful Equities 
No double:  +0.974 (0.026)  ±0.001 (+0.972..+0.975) 
Double/Take:  +1.419 (+0.419)  ±0.003 (+1.416..+1.422) 
Double/Pass:  +1.000 

Best Cube action: Double / Pass 
Rollout details 
648 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 43.7 seconds 


Wins 1pt. 



