51: 24/23 13/8 


1.  Book^{1}  24/23 13/8  eq: +0.254 
 Player: Opponent:  49.89% (G:13.19% B:0.48%) 50.11% (G:12.58% B:0.50%)  

2.  Book^{1}  13/8 6/5  eq: +0.240 (0.014) 
 Player: Opponent:  49.49% (G:13.23% B:0.50%) 50.51% (G:13.23% B:0.69%)  

3.  Book^{1}  24/18  eq: +0.198 (0.056) 
 Player: Opponent:  49.44% (G:11.23% B:0.42%) 50.56% (G:12.79% B:0.48%)  

4.  Book^{1}  13/7  eq: +0.187 (0.066) 
 Player: Opponent:  47.70% (G:13.46% B:0.58%) 52.30% (G:14.75% B:0.81%)  

5.  2ply  24/23 8/3  eq: +0.091 (0.163) 
 Player: Opponent:  46.08% (G:12.07% B:0.47%) 53.92% (G:15.70% B:0.74%)  


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



41: 6/2* 2/1* 


1.  XG Roller++  6/2* 2/1*  eq: 0.406 
 Player: Opponent:  46.46% (G:12.20% B:0.35%) 53.54% (G:15.05% B:0.70%)  

2.  XG Roller++  24/23 24/20  eq: 0.406 (0.000) 
 Player: Opponent:  46.19% (G:10.57% B:0.44%) 53.81% (G:14.64% B:0.50%)  

3.  XG Roller++  13/8  eq: 0.416 (0.011) 
 Player: Opponent:  46.25% (G:11.70% B:0.44%) 53.75% (G:14.94% B:0.65%)  

4.  XG Roller++  24/23 6/2*  eq: 0.442 (0.036) 
 Player: Opponent:  45.52% (G:10.92% B:0.38%) 54.48% (G:15.45% B:0.69%)  

5.  XG Roller++  24/23 13/9  eq: 0.446 (0.041) 
 Player: Opponent:  45.49% (G:11.50% B:0.46%) 54.51% (G:15.66% B:0.68%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.58% (G:14.97% B:0.68%) 
53.61% (G:14.94% B:0.66%) 
Opponent Winning Chances: 
46.42% (G:12.16% B:0.34%) 
46.39% (G:11.93% B:0.33%) 
Cubeless Equities 
+0.100 
+0.373 
Cubeful Equities 
No double:  +0.410  
Double/Take:  +0.358 (0.052)  
Double/Pass:  +1.000 (+0.590) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.5% 


42: Bar/23 Bar/21 


1.  3ply  Bar/23 Bar/21  eq: +0.303 
 Player: Opponent:  52.04% (G:13.67% B:0.61%) 47.96% (G:12.95% B:0.34%)  



42: 8/4* 6/4 


1.  3ply  8/4* 6/4  eq: 0.227 
 Player: Opponent:  50.47% (G:15.05% B:0.53%) 49.53% (G:13.59% B:0.71%)  

2.  2ply  24/22 24/20  eq: 0.494 (0.267) 
 Player: Opponent:  44.03% (G:10.47% B:0.37%) 55.97% (G:16.64% B:0.60%)  

3.  2ply  24/20 13/11  eq: 0.518 (0.292) 
 Player: Opponent:  43.23% (G:10.42% B:0.32%) 56.77% (G:16.04% B:0.79%)  

4.  2ply  24/18  eq: 0.523 (0.296) 
 Player: Opponent:  43.73% (G:9.53% B:0.31%) 56.27% (G:17.32% B:0.66%)  

5.  2ply  8/4* 4/2*  eq: 0.530 (0.304) 
 Player: Opponent:  43.47% (G:11.79% B:0.32%) 56.53% (G:16.92% B:1.12%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
49.56% (G:13.68% B:0.65%) 
49.62% (G:13.78% B:0.63%) 
Opponent Winning Chances: 
50.44% (G:14.74% B:0.52%) 
50.38% (G:15.18% B:0.53%) 
Cubeless Equities 
0.016 
+0.177 
Cubeful Equities 
No double:  +0.245  
Double/Take:  +0.168 (0.077)  
Double/Pass:  +1.000 (+0.755) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.5% 


66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.042 
 Player: Opponent:  43.02% (G:10.73% B:0.55%) 56.98% (G:21.99% B:0.57%)  



53: 13/10 6/1 


1.  Rollout^{1}  24/21 6/1  eq: +0.048 
 Player: Opponent:  56.78% (G:22.90% B:1.46%) 43.22% (G:10.57% B:0.38%)  Conf.: ± 0.012 (+0.035...+0.060)  [56.9%] Duration: 18 minutes 35 seconds 

2.  Rollout^{1}  13/10 6/1  eq: +0.046 (0.002) 
 Player: Opponent:  57.19% (G:24.14% B:1.52%) 42.81% (G:11.84% B:0.47%)  Conf.: ± 0.012 (+0.034...+0.058)  [43.1%] Duration: 17 minutes 32 seconds 

3.  3ply  24/21 13/8  eq: 0.054 (0.101) 
 Player: Opponent:  54.59% (G:17.07% B:0.63%) 45.41% (G:11.05% B:0.47%)  

4.  3ply  13/10 13/8  eq: 0.064 (0.112) 
 Player: Opponent:  54.77% (G:18.53% B:0.64%) 45.23% (G:12.07% B:0.67%)  

5.  2ply  24/16  eq: 0.132 (0.180) 
 Player: Opponent:  53.05% (G:14.34% B:0.47%) 46.95% (G:12.65% B:0.55%)  


^{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: 
42.74% (G:10.51% B:0.51%) 
42.70% (G:10.47% B:0.49%) 
Opponent Winning Chances: 
57.26% (G:21.36% B:0.58%) 
57.30% (G:21.18% B:0.59%) 
Cubeless Equities 
0.241 
0.195 
Cubeful Equities 
No double:  0.051  
Double/Take:  0.194 (0.144)  
Double/Pass:  +1.000 (+1.051) 

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


21: Bar/23 6/5 


1.  XG Roller++  Bar/23 6/5  eq: 0.012 
 Player: Opponent:  43.28% (G:10.65% B:0.38%) 56.72% (G:18.62% B:0.77%)  

2.  XG Roller++  Bar/22  eq: 0.041 (0.029) 
 Player: Opponent:  42.86% (G:10.44% B:0.44%) 57.14% (G:21.99% B:0.53%)  

3.  4ply  Bar/23 8/7  eq: 0.083 (0.071) 
 Player: Opponent:  41.64% (G:9.82% B:0.42%) 58.36% (G:19.08% B:0.80%)  



64: 24/20* 20/14 


1.  Rollout^{1}  24/20* 13/7  eq: +0.171 
 Player: Opponent:  59.04% (G:29.26% B:3.32%) 40.96% (G:8.79% B:0.41%)  Conf.: ± 0.013 (+0.158...+0.184)  [62.5%] Duration: 22 minutes 06 seconds 

2.  Rollout^{1}  24/20* 20/14  eq: +0.168 (0.003) 
 Player: Opponent:  59.48% (G:28.09% B:2.90%) 40.52% (G:9.38% B:0.38%)  Conf.: ± 0.013 (+0.155...+0.181)  [37.5%] Duration: 20 minutes 49 seconds 

3.  4ply  24/18 24/20*  eq: +0.163 (0.008) 
 Player: Opponent:  60.19% (G:21.45% B:0.91%) 39.81% (G:8.81% B:0.40%)  

4.  4ply  24/20* 10/4  eq: +0.120 (0.051) 
 Player: Opponent:  58.34% (G:23.30% B:0.94%) 41.66% (G:8.74% B:0.35%)  

5.  1ply  24/14  eq: 0.126 (0.297) 
 Player: Opponent:  52.92% (G:13.93% B:0.55%) 47.08% (G:11.81% B:0.59%)  


^{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: 
38.89% (G:8.32% B:0.36%) 
39.22% (G:8.47% B:0.38%) 
Opponent Winning Chances: 
61.11% (G:22.59% B:0.96%) 
60.78% (G:23.47% B:1.06%) 
Cubeless Equities 
0.352 
0.384 
Cubeful Equities 
No double:  0.204  
Double/Take:  0.379 (0.175)  
Double/Pass:  +1.000 (+1.204) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.3% 


52: Bar/20 13/11* 


1.  3ply  Bar/20 13/11*  eq: +0.019 
 Player: Opponent:  44.79% (G:10.99% B:0.51%) 55.21% (G:20.37% B:0.88%)  

2.  2ply  Bar/20 6/4  eq: 0.250 (0.268) 
 Player: Opponent:  38.47% (G:7.72% B:0.35%) 61.53% (G:28.03% B:1.40%)  

3.  2ply  Bar/20 8/6  eq: 0.274 (0.292) 
 Player: Opponent:  36.87% (G:7.53% B:0.34%) 63.13% (G:22.56% B:0.91%)  

4.  2ply  Bar/18  eq: 0.279 (0.298) 
 Player: Opponent:  37.23% (G:7.20% B:0.33%) 62.77% (G:24.85% B:1.01%)  

5.  2ply  Bar/23 8/3  eq: 0.322 (0.341) 
 Player: Opponent:  35.71% (G:7.24% B:0.27%) 64.29% (G:24.71% B:1.20%)  



62: Bar/23 24/18 


1.  Rollout^{1}  Bar/23 10/4  eq: 0.216 
 Player: Opponent:  50.55% (G:21.25% B:2.62%) 49.45% (G:14.10% B:0.54%)  Conf.: ± 0.015 (0.231...0.202)  [90.2%] Duration: 19 minutes 57 seconds 

2.  Rollout^{1}  Bar/23 24/18  eq: 0.230 (0.013) 
 Player: Opponent:  50.42% (G:20.49% B:2.47%) 49.58% (G:14.66% B:0.67%)  Conf.: ± 0.014 (0.244...0.216)  [9.8%] Duration: 20 minutes 47 seconds 

3.  4ply  Bar/23 13/7  eq: 0.246 (0.030) 
 Player: Opponent:  49.94% (G:18.22% B:0.78%) 50.06% (G:14.16% B:0.83%)  


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



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
49.45% (G:14.07% B:0.63%) 
49.50% (G:13.92% B:0.62%) 
Opponent Winning Chances: 
50.55% (G:18.25% B:0.77%) 
50.50% (G:18.57% B:0.80%) 
Cubeless Equities 
0.048 
+0.152 
Cubeful Equities 
No double:  +0.240  
Double/Take:  +0.150 (0.090)  
Double/Pass:  +1.000 (+0.760) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.6% 


54: 20/15* 11/7* 


1.  3ply  20/15* 11/7*  eq: +0.366 
 Player: Opponent:  53.25% (G:14.99% B:0.76%) 46.75% (G:14.82% B:0.56%)  

2.  3ply  20/15* 15/11  eq: +0.262 (0.104) 
 Player: Opponent:  50.86% (G:13.38% B:0.61%) 49.14% (G:14.63% B:0.45%)  

3.  2ply  20/15* 6/2*  eq: +0.102 (0.265) 
 Player: Opponent:  46.32% (G:13.16% B:0.63%) 53.68% (G:21.07% B:1.26%)  

4.  2ply  11/7* 7/2*  eq: +0.031 (0.335) 
 Player: Opponent:  44.61% (G:11.83% B:0.52%) 55.39% (G:19.63% B:0.98%)  

5.  1ply  20/11  eq: 0.022 (0.388) 
 Player: Opponent:  43.62% (G:9.28% B:0.38%) 56.38% (G:15.38% B:0.49%)  



52: Bar/23 Bar/20 


1.  3ply  Bar/23 Bar/20  eq: 0.369 
 Player: Opponent:  46.54% (G:14.45% B:0.58%) 53.46% (G:14.26% B:0.66%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.21% (G:14.47% B:0.70%) 
53.43% (G:14.32% B:0.67%) 
Opponent Winning Chances: 
46.79% (G:15.43% B:0.55%) 
46.57% (G:15.71% B:0.56%) 
Cubeless Equities 
+0.058 
+0.329 
Cubeful Equities 
No double:  +0.371  
Double/Take:  +0.325 (0.045)  
Double/Pass:  +1.000 (+0.629) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.3% 


54: 8/3 7/3 


1.  3ply  8/3 7/3  eq: +0.210 
 Player: Opponent:  49.15% (G:13.65% B:0.64%) 50.85% (G:15.99% B:0.58%)  

2.  2ply  15/6  eq: 0.030 (0.241) 
 Player: Opponent:  43.35% (G:9.81% B:0.35%) 56.65% (G:17.30% B:0.72%)  

3.  2ply  15/10 7/3  eq: 0.067 (0.277) 
 Player: Opponent:  42.44% (G:10.14% B:0.38%) 57.56% (G:21.08% B:1.02%)  

4.  2ply  15/10 8/4  eq: 0.084 (0.295) 
 Player: Opponent:  42.54% (G:9.80% B:0.42%) 57.46% (G:24.91% B:1.59%)  

5.  2ply  13/8 7/3  eq: 0.100 (0.310) 
 Player: Opponent:  41.28% (G:10.37% B:0.39%) 58.72% (G:22.15% B:1.10%)  



63: 20/14 13/10* 


1.  XG Roller++  20/14 13/10*  eq: 0.151 
 Player: Opponent:  53.00% (G:18.41% B:0.76%) 47.00% (G:13.57% B:0.63%)  

2.  XG Roller++  13/7 13/10*  eq: 0.176 (0.025) 
 Player: Opponent:  52.32% (G:19.43% B:0.91%) 47.68% (G:14.34% B:0.81%)  

3.  4ply  13/10* 10/4  eq: 0.181 (0.030) 
 Player: Opponent:  51.28% (G:16.83% B:0.63%) 48.72% (G:12.65% B:0.55%)  

4.  4ply  23/20 13/7  eq: 0.186 (0.035) 
 Player: Opponent:  50.79% (G:15.57% B:0.40%) 49.21% (G:11.85% B:0.44%)  

5.  2ply  20/11  eq: 0.374 (0.223) 
 Player: Opponent:  46.30% (G:14.01% B:0.47%) 53.70% (G:15.35% B:0.72%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
46.97% (G:13.36% B:0.63%) 
47.07% (G:13.40% B:0.63%) 
Opponent Winning Chances: 
53.03% (G:17.52% B:0.71%) 
52.93% (G:17.67% B:0.72%) 
Cubeless Equities 
0.097 
+0.056 
Cubeful Equities 
No double:  +0.140  
Double/Take:  +0.058 (0.082)  
Double/Pass:  +1.000 (+0.860) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.0% 


51: Bar/20 6/5 


1.  Rollout^{1}  Bar/20 6/5  eq: +0.157 
 Player: Opponent:  48.07% (G:14.08% B:0.69%) 51.93% (G:23.89% B:2.68%)  Conf.: ± 0.013 (+0.144...+0.171)  [100.0%] Duration: 18 minutes 15 seconds 

2.  Rollout^{1}  Bar/20 23/22  eq: +0.113 (0.044) 
 Player: Opponent:  46.49% (G:14.00% B:0.74%) 53.51% (G:23.87% B:1.76%)  Conf.: ± 0.012 (+0.101...+0.125)  [0.0%] Duration: 16 minutes 28 seconds 

3.  4ply  Bar/20 8/7  eq: +0.064 (0.094) 
 Player: Opponent:  44.95% (G:12.94% B:0.68%) 55.05% (G:21.41% B:1.08%)  


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



61: 14/8 10/9 


1.  3ply  14/8 10/9  eq: 0.526 
 Player: Opponent:  43.81% (G:14.30% B:0.62%) 56.19% (G:17.27% B:0.85%)  

2.  3ply  14/7  eq: 0.607 (0.082) 
 Player: Opponent:  42.24% (G:13.97% B:0.57%) 57.76% (G:18.56% B:1.04%)  

3.  3ply  14/13 10/4  eq: 0.631 (0.106) 
 Player: Opponent:  41.47% (G:12.89% B:0.52%) 58.53% (G:17.57% B:0.82%)  

4.  2ply  13/6  eq: 0.715 (0.190) 
 Player: Opponent:  40.15% (G:13.44% B:0.57%) 59.85% (G:19.99% B:1.16%)  

5.  2ply  10/3  eq: 0.754 (0.229) 
 Player: Opponent:  39.39% (G:13.17% B:0.52%) 60.61% (G:20.49% B:1.11%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
56.59% (G:17.59% B:0.82%) 
56.59% (G:17.56% B:0.81%) 
Opponent Winning Chances: 
43.41% (G:14.79% B:0.62%) 
43.41% (G:14.83% B:0.61%) 
Cubeless Equities 
+0.160 
+0.523 
Cubeful Equities 
No double:  +0.543  
Double/Take:  +0.518 (0.025)  
Double/Pass:  +1.000 (+0.457) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 5.0% 


43: 20/16* 8/5 


1.  3ply  20/16* 8/5  eq: +0.869 
 Player: Opponent:  64.33% (G:21.14% B:1.14%) 35.67% (G:10.11% B:0.31%)  

2.  1ply  13/9 8/5  eq: +0.439 (0.430) 
 Player: Opponent:  55.27% (G:17.28% B:0.80%) 44.73% (G:15.43% B:0.69%)  

3.  1ply  20/16* 16/13  eq: +0.284 (0.585) 
 Player: Opponent:  51.55% (G:14.21% B:0.70%) 48.45% (G:15.77% B:0.59%)  

4.  1ply  20/16* 13/10  eq: +0.244 (0.625) 
 Player: Opponent:  50.34% (G:14.95% B:0.79%) 49.66% (G:20.38% B:1.31%)  

5.  1ply  23/20 13/9  eq: +0.239 (0.630) 
 Player: Opponent:  50.32% (G:14.31% B:0.55%) 49.68% (G:18.02% B:0.58%)  



32: Bar/23 13/10 


1.  XG Roller++  Bar/23 13/10  eq: 1.000 
 Player: Opponent:  30.65% (G:8.48% B:0.28%) 69.35% (G:25.13% B:1.51%)  

2.  XG Roller++  Bar/23 8/5  eq: 1.000 
 Player: Opponent:  29.66% (G:8.12% B:0.26%) 70.34% (G:27.18% B:1.76%)  

3.  4ply  Bar/23 4/1  eq: 1.072 (0.072) 
 Player: Opponent:  20.84% (G:4.19% B:0.10%) 79.16% (G:30.71% B:1.80%)  

4.  4ply  Bar/23 6/3  eq: 1.089 (0.089) 
 Player: Opponent:  22.46% (G:4.66% B:0.13%) 77.54% (G:34.93% B:2.51%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
69.16% (G:25.30% B:1.57%) 
69.31% (G:25.59% B:1.50%) 
Opponent Winning Chances: 
30.84% (G:8.83% B:0.62%) 
30.69% (G:9.27% B:1.58%) 
Cubeless Equities 
+0.539 
+1.219 
Cubeful Equities 
No double:  +0.958 (0.042)  ±0.008 (+0.950..+0.966) 
Double/Take:  +1.202 (+0.202)  ±0.014 (+1.189..+1.216) 
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: 16 minutes 03 seconds 


66: 16/10 13/7(3) 


1.  4ply  16/10 13/7(3)  eq: +0.976 
 Player: Opponent:  73.58% (G:23.37% B:1.17%) 26.42% (G:6.16% B:0.20%)  

2.  4ply  16/4 13/7(2)  eq: +0.928 (0.048) 
 Player: Opponent:  70.80% (G:23.54% B:1.25%) 29.20% (G:8.59% B:0.35%)  

3.  4ply  13/7(2) 13/1  eq: +0.884 (0.092) 
 Player: Opponent:  65.28% (G:22.58% B:1.21%) 34.72% (G:9.40% B:0.35%)  

4.  1ply  16/4 13/1  eq: +0.617 (0.359) 
 Player: Opponent:  59.12% (G:20.87% B:1.05%) 40.88% (G:12.20% B:0.46%)  

5.  1ply  13/1(2)  eq: +0.525 (0.451) 
 Player: Opponent:  56.41% (G:20.14% B:0.94%) 43.59% (G:12.83% B:0.53%)  



61: 13/7 8/7 


1.  XG Roller++  13/7 8/7  eq: 1.000 
 Player: Opponent:  29.61% (G:7.13% B:0.21%) 70.39% (G:21.37% B:0.98%)  

2.  XG Roller++  13/6  eq: 1.002 (0.002) 
 Player: Opponent:  23.02% (G:5.81% B:0.18%) 76.98% (G:24.67% B:1.26%)  

3.  XG Roller++  13/12 10/4  eq: 1.035 (0.035) 
 Player: Opponent:  20.57% (G:4.47% B:0.12%) 79.43% (G:25.21% B:1.25%)  

4.  4ply  13/12 13/7  eq: 1.054 (0.054) 
 Player: Opponent:  22.55% (G:4.82% B:0.11%) 77.45% (G:32.04% B:2.18%)  

5.  3ply  10/3  eq: 1.050 (0.050) 
 Player: Opponent:  21.58% (G:4.54% B:0.14%) 78.42% (G:29.30% B:1.70%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
70.12% (G:21.25% B:0.95%) 
70.50% (G:21.57% B:0.95%) 
Opponent Winning Chances: 
29.88% (G:7.28% B:0.57%) 
29.50% (G:7.31% B:0.78%) 
Cubeless Equities 
+0.531 
+1.182 
Cubeful Equities 
No double:  +0.855 (0.145)  ±0.008 (+0.847..+0.863) 
Double/Take:  +1.167 (+0.167)  ±0.012 (+1.155..+1.179) 
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: 11 minutes 46 seconds 


62: 10/4 6/4 


1.  3ply  10/4 6/4  eq: +1.010 
 Player: Opponent:  76.93% (G:22.87% B:0.97%) 23.07% (G:4.40% B:0.10%)  

2.  2ply  10/4 7/5  eq: +0.842 (0.168) 
 Player: Opponent:  67.87% (G:20.73% B:1.01%) 32.13% (G:7.76% B:0.23%)  

3.  2ply  10/8 7/1  eq: +0.793 (0.217) 
 Player: Opponent:  63.45% (G:19.08% B:0.85%) 36.55% (G:8.42% B:0.20%)  

4.  2ply  7/1 6/4  eq: +0.739 (0.271) 
 Player: Opponent:  62.77% (G:19.91% B:0.91%) 37.23% (G:11.04% B:0.43%)  

5.  1ply  7/1 3/1  eq: +0.454 (0.556) 
 Player: Opponent:  55.40% (G:17.38% B:0.75%) 44.60% (G:12.50% B:0.45%)  



65: 13/8 10/4 


1.  XG Roller++  13/7 10/5  eq: 1.000 
 Player: Opponent:  23.50% (G:4.78% B:0.15%) 76.50% (G:29.76% B:1.36%)  

2.  XG Roller++  13/8 10/4  eq: 1.000 
 Player: Opponent:  20.60% (G:3.70% B:0.11%) 79.40% (G:23.62% B:0.92%)  

3.  2ply  13/8 7/1  eq: 1.219 (0.219) 
 Player: Opponent:  11.23% (G:1.29% B:0.02%) 88.77% (G:36.60% B:1.95%)  

4.  2ply  13/7 6/1  eq: 1.229 (0.229) 
 Player: Opponent:  11.13% (G:1.20% B:0.02%) 88.87% (G:37.47% B:2.03%)  

5.  2ply  10/4 6/1  eq: 1.235 (0.235) 
 Player: Opponent:  10.25% (G:1.10% B:0.02%) 89.75% (G:36.85% B:2.04%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
78.64% (G:23.58% B:0.89%) 
79.28% (G:22.98% B:0.81%) 
Opponent Winning Chances: 
21.36% (G:3.57% B:0.20%) 
20.72% (G:3.26% B:0.32%) 
Cubeless Equities 
+0.757 
+1.566 
Cubeful Equities 
No double:  +0.966 (0.034)  ±0.006 (+0.960..+0.971) 
Double/Take:  +1.551 (+0.551)  ±0.009 (+1.542..+1.560) 
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: 13 minutes 26 seconds 


62: 7/1 3/1 


1.  3ply  7/1 3/1  eq: +0.978 
 Player: Opponent:  74.26% (G:24.91% B:1.04%) 25.74% (G:5.42% B:0.15%)  

2.  2ply  7/5 7/1  eq: +0.766 (0.212) 
 Player: Opponent:  67.36% (G:20.46% B:0.75%) 32.64% (G:6.95% B:0.23%)  

3.  2ply  8/6 7/1  eq: +0.743 (0.235) 
 Player: Opponent:  66.03% (G:19.78% B:0.80%) 33.97% (G:7.02% B:0.22%)  

4.  2ply  7/1 5/3  eq: +0.636 (0.342) 
 Player: Opponent:  62.78% (G:18.17% B:0.73%) 37.22% (G:8.92% B:0.28%)  

5.  2ply  7/1 6/4  eq: +0.613 (0.365) 
 Player: Opponent:  61.15% (G:17.32% B:0.73%) 38.85% (G:8.71% B:0.26%)  



52: 8/1 


1.  4ply  8/1  eq: 1.000 
 Player: Opponent:  25.34% (G:4.40% B:0.10%) 74.66% (G:21.53% B:0.83%)  

2.  4ply  6/4 6/1  eq: 1.063 (0.063) 
 Player: Opponent:  16.42% (G:2.05% B:0.04%) 83.58% (G:24.55% B:0.96%)  

3.  3ply  8/6 8/3  eq: 1.151 (0.151) 
 Player: Opponent:  18.33% (G:3.04% B:0.08%) 81.67% (G:37.98% B:1.97%)  

4.  2ply  8/3 6/4  eq: 1.192 (0.192) 
 Player: Opponent:  16.40% (G:2.48% B:0.06%) 83.60% (G:40.40% B:2.29%)  

5.  2ply  8/3 7/5  eq: 1.240 (0.240) 
 Player: Opponent:  18.29% (G:2.96% B:0.06%) 81.71% (G:48.60% B:3.79%)  



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
74.41% (G:21.29% B:0.75%) 
74.58% (G:21.33% B:0.76%) 
Opponent Winning Chances: 
25.59% (G:4.16% B:0.12%) 
25.42% (G:4.06% B:0.43%) 
Cubeless Equities 
+0.646 
+1.348 
Cubeful Equities 
No double:  +0.880 (0.120)  ±0.006 (+0.874..+0.886) 
Double/Take:  +1.329 (+0.329)  ±0.010 (+1.319..+1.339) 
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: 10 minutes 57 seconds 


31: 23/22 23/20 


1.  4ply  23/22 23/20  eq: +1.102 
 Player: Opponent:  84.63% (G:26.68% B:0.95%) 15.37% (G:3.31% B:0.08%)  

2.  4ply  23/20 4/3  eq: +1.033 (0.069) 
 Player: Opponent:  78.48% (G:26.30% B:1.07%) 21.52% (G:5.31% B:0.14%)  

3.  3ply  4/3 4/1  eq: +0.893 (0.209) 
 Player: Opponent:  73.10% (G:20.80% B:0.77%) 26.90% (G:4.06% B:0.06%)  

4.  2ply  7/3  eq: +0.923 (0.179) 
 Player: Opponent:  75.41% (G:22.39% B:0.73%) 24.59% (G:4.05% B:0.12%)  

5.  2ply  6/5 6/3  eq: +0.865 (0.238) 
 Player: Opponent:  71.36% (G:19.15% B:0.75%) 28.64% (G:4.03% B:0.08%)  



44: 7/3*(2) 6/2(2) 


1.  4ply  7/3*(2) 6/2(2)  eq: 1.074 
 Player: Opponent:  12.94% (G:2.12% B:0.03%) 87.06% (G:21.20% B:0.73%)  

2.  4ply  8/4(2) 7/3*(2)  eq: 1.116 (0.041) 
 Player: Opponent:  11.72% (G:1.71% B:0.02%) 88.28% (G:24.80% B:0.96%)  

3.  4ply  8/4(2) 6/2(2)  eq: 1.125 (0.051) 
 Player: Opponent:  9.04% (G:0.76% B:0.01%) 90.96% (G:22.91% B:0.82%)  

4.  2ply  8/4 7/3* 6/2(2)  eq: 1.288 (0.214) 
 Player: Opponent:  8.72% (G:1.02% B:0.02%) 91.28% (G:40.19% B:2.70%)  

5.  2ply  8/4 7/3*(2) 6/2  eq: 1.368 (0.293) 
 Player: Opponent:  8.33% (G:0.90% B:0.01%) 91.67% (G:48.00% B:3.67%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
87.50% (G:22.07% B:0.67%) 
87.59% (G:22.04% B:0.65%) 
Opponent Winning Chances: 
12.50% (G:1.82% B:0.02%) 
12.41% (G:1.67% B:0.01%) 
Cubeless Equities 
+0.936 
+1.867 
Cubeful Equities 
No double:  +1.094  
Double/Take:  +1.857 (+0.763)  
Double/Pass:  +1.000 (0.094) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 11.0% 


62: Bar/19 3/1 


1.  Rollout^{1}  Bar/19 20/18  eq: +1.113 
 Player: Opponent:  88.33% (G:21.51% B:0.61%) 11.67% (G:1.40% B:0.01%)  Conf.: ± 0.003 (+1.110...+1.116)  [81.6%] Duration: 9 minutes 28 seconds 

2.  Rollout^{1}  Bar/19 3/1  eq: +1.111 (0.002) 
 Player: Opponent:  88.13% (G:19.66% B:0.47%) 11.87% (G:0.55% B:0.01%)  Conf.: ± 0.003 (+1.108...+1.114)  [18.4%] Duration: 8 minutes 02 seconds 

3.  3ply  Bar/19 5/3  eq: +0.998 (0.115) 
 Player: Opponent:  79.08% (G:19.69% B:0.67%) 20.92% (G:5.00% B:0.08%)  

4.  2ply  Bar/19 8/6  eq: +0.742 (0.371) 
 Player: Opponent:  66.46% (G:19.37% B:0.90%) 33.54% (G:14.31% B:0.48%)  

5.  2ply  Bar/19 7/5  eq: +0.705 (0.408) 
 Player: Opponent:  65.41% (G:19.15% B:0.82%) 34.59% (G:14.81% B:0.52%)  


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



52: 8/6* 6/1 


1.  XG Roller++  8/6* 6/1  eq: 1.097 
 Player: Opponent:  10.61% (G:0.42% B:0.00%) 89.39% (G:20.55% B:0.54%)  

2.  XG Roller++  8/3 8/6*  eq: 1.118 (0.021) 
 Player: Opponent:  10.61% (G:0.48% B:0.00%) 89.39% (G:22.96% B:0.64%)  

3.  4ply  8/1  eq: 1.153 (0.056) 
 Player: Opponent:  8.58% (G:0.22% B:0.00%) 91.42% (G:25.59% B:0.75%)  

4.  4ply  8/3 4/2  eq: 1.154 (0.057) 
 Player: Opponent:  8.38% (G:0.19% B:0.00%) 91.62% (G:25.46% B:0.74%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
89.24% (G:20.70% B:0.54%) 
89.30% (G:20.74% B:0.54%) 
Opponent Winning Chances: 
10.76% (G:0.43% B:0.00%) 
10.70% (G:0.41% B:0.00%) 
Cubeless Equities 
+0.970 
+1.911 
Cubeful Equities 
No double:  +1.102  
Double/Take:  +1.898 (+0.796)  
Double/Pass:  +1.000 (0.102) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 11.4% 


43: Cannot Move 


1.  3ply  Cannot Move  eq: +1.068 
 Player: Opponent:  88.16% (G:19.41% B:0.55%) 11.84% (G:0.77% B:0.00%)  



61: 23/16 


1.  XG Roller++  23/16  eq: 1.042 
 Player: Opponent:  18.36% (G:1.68% B:0.01%) 81.64% (G:17.27% B:0.55%)  

2.  XG Roller++  23/22 8/2  eq: 1.075 (0.033) 
 Player: Opponent:  13.74% (G:0.78% B:0.00%) 86.26% (G:19.46% B:0.54%)  

3.  4ply  8/2 4/3  eq: 1.074 (0.031) 
 Player: Opponent:  10.69% (G:0.38% B:0.00%) 89.31% (G:18.52% B:0.52%)  

4.  4ply  8/1  eq: 1.074 (0.032) 
 Player: Opponent:  10.98% (G:0.44% B:0.00%) 89.02% (G:18.98% B:0.51%)  

5.  3ply  8/2 3/2  eq: 1.160 (0.118) 
 Player: Opponent:  8.49% (G:0.30% B:0.00%) 91.51% (G:26.40% B:0.72%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
81.76% (G:16.97% B:0.51%) 
81.42% (G:17.27% B:0.56%) 
Opponent Winning Chances: 
18.24% (G:1.61% B:0.01%) 
18.58% (G:1.51% B:0.01%) 
Cubeless Equities 
+0.776 
+1.537 
Cubeful Equities 
No double:  +1.042  
Double/Take:  +1.519 (+0.477)  
Double/Pass:  +1.000 (0.042) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 8.0% 


66: Bar/7 20/14 


1.  XG Roller++  Bar/7 20/14  eq: +1.005 
 Player: Opponent:  81.75% (G:6.81% B:0.14%) 18.25% (G:0.36% B:0.00%)  

2.  XG Roller++  Bar/1  eq: +1.004 (0.001) 
 Player: Opponent:  79.65% (G:7.10% B:0.14%) 20.35% (G:0.40% B:0.00%)  

3.  XG Roller++  Bar/13 20/8  eq: +1.003 (0.003) 
 Player: Opponent:  81.57% (G:6.41% B:0.13%) 18.43% (G:0.38% B:0.00%)  

4.  1ply  Bar/19 20/8 7/1  eq: +0.613 (0.393) 
 Player: Opponent:  63.81% (G:10.66% B:0.34%) 36.19% (G:5.47% B:0.03%)  

5.  1ply  Bar/19 20/14 7/1(2)  eq: +0.560 (0.445) 
 Player: Opponent:  62.49% (G:9.69% B:0.32%) 37.51% (G:5.50% B:0.04%)  



64: 16/6 


1.  XG Roller++  16/6  eq: 1.000 
 Player: Opponent:  19.40% (G:0.31% B:0.00%) 80.60% (G:5.11% B:0.10%)  

2.  XG Roller++  16/10 8/4  eq: 1.000 
 Player: Opponent:  19.08% (G:0.29% B:0.00%) 80.92% (G:5.24% B:0.10%)  

3.  XG Roller++  16/12 8/2  eq: 1.025 (0.025) 
 Player: Opponent:  16.91% (G:0.32% B:0.00%) 83.09% (G:9.27% B:0.20%)  



Double/Pass 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
80.67% (G:5.11% B:0.10%) 
80.63% (G:6.92% B:0.18%) 
Opponent Winning Chances: 
19.33% (G:0.32% B:0.00%) 
19.37% (G:0.69% B:0.02%) 
Cubeless Equities 
+0.657 
+1.296 
Cubeful Equities 
No double:  +0.997 (0.003)  ±0.001 (+0.995..+0.998) 
Double/Take:  +1.281 (+0.281)  ±0.006 (+1.275..+1.287) 
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 23 seconds 


Wins 1pt. 



