32: 24/21 13/11 


1.  Book^{1}  24/21 13/11  eq: 0.332 
 Player: Opponent:  49.94% (G:15.33% B:2.33%) 50.06% (G:13.69% B:1.11%)  Conf.: ± 0.003 (0.335...0.329)  [93.4%] 

2.  Book^{1}  24/22 13/10  eq: 0.336 (0.003) 
 Player: Opponent:  49.52% (G:15.28% B:2.18%) 50.48% (G:13.71% B:1.04%)  Conf.: ± 0.003 (0.338...0.333)  [6.6%] 

3.  Book^{2}  13/11 13/10  eq: 0.369 (0.037) 
 Player: Opponent:  49.20% (G:17.10% B:2.51%) 50.80% (G:14.22% B:1.57%)  Conf.: ± 0.004 (0.374...0.365)  [0.0%] 

4.  Book^{2}  24/22 24/21  eq: 0.372 (0.039) 
 Player: Opponent:  49.05% (G:14.51% B:2.20%) 50.95% (G:14.04% B:0.85%)  Conf.: ± 0.004 (0.376...0.368)  [0.0%] 

5.  Book^{3}  13/10 6/4  eq: 0.400 (0.068) 
 Player: Opponent:  48.59% (G:15.12% B:1.85%) 51.41% (G:14.25% B:1.85%)  Conf.: ± 0.005 (0.405...0.395)  [0.0%] 


^{1} Generated by Steven Carey on 11/08/2012 using eXtreme Gammon 2.00 46656 Games rolled with Variance Reduction. Dice Seed: 1 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by Steven Carey on 11/08/2012 using eXtreme Gammon 2.00 23328 Games rolled with Variance Reduction. Dice Seed: 1 Moves: 3ply, cube decisions: XG Roller
^{3} Generated by Steven Carey on 11/08/2012 using eXtreme Gammon 2.10 15552 Games rolled with Variance Reduction. Dice Seed: 75804804 Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
49.75% (G:13.09% B:0.54%) 
49.62% (G:13.07% B:0.52%) 
Opponent Winning Chances: 
50.25% (G:13.34% B:0.64%) 
50.38% (G:13.12% B:0.65%) 
Cubeless Equities 
0.079 
+0.248 
Cubeful Equities 
No double:  +0.316  
Double/Take:  +0.248 (0.069)  
Double/Pass:  +1.000 (+0.684) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.4% 


41: 13/8 


1.  XG Roller++  24/23 8/4*  eq: +0.156 
 Player: Opponent:  45.82% (G:12.11% B:0.46%) 54.18% (G:15.99% B:0.87%)  

2.  XG Roller++  13/8  eq: +0.066 (0.090) 
 Player: Opponent:  44.48% (G:10.38% B:0.36%) 55.52% (G:15.13% B:0.73%)  

3.  5ply  8/4* 6/5  eq: +0.105 (0.051) 
 Player: Opponent:  45.27% (G:11.54% B:0.48%) 54.73% (G:17.60% B:1.31%)  

4.  5ply  8/4* 4/3  eq: +0.101 (0.055) 
 Player: Opponent:  44.97% (G:11.89% B:0.52%) 55.03% (G:16.29% B:0.94%)  

5.  5ply  24/23 24/20  eq: +0.062 (0.094) 
 Player: Opponent:  45.14% (G:10.27% B:0.43%) 54.86% (G:15.40% B:0.56%)  



43: 24/21 13/9 


1.  3ply  24/21 13/9  eq: 0.014 
 Player: Opponent:  54.94% (G:14.87% B:0.59%) 45.06% (G:8.45% B:0.25%)  

2.  3ply  24/21 6/2  eq: 0.180 (0.166) 
 Player: Opponent:  51.12% (G:12.41% B:0.47%) 48.88% (G:10.04% B:0.31%)  

3.  3ply  24/21 11/7  eq: 0.181 (0.166) 
 Player: Opponent:  50.91% (G:12.97% B:0.46%) 49.09% (G:9.58% B:0.26%)  

4.  2ply  24/21 8/4  eq: 0.199 (0.185) 
 Player: Opponent:  50.52% (G:12.70% B:0.42%) 49.48% (G:10.42% B:0.31%)  

5.  2ply  21/14  eq: 0.282 (0.268) 
 Player: Opponent:  50.30% (G:12.09% B:0.51%) 49.70% (G:13.56% B:0.54%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
45.15% (G:8.42% B:0.25%) 
45.28% (G:8.35% B:0.24%) 
Opponent Winning Chances: 
54.85% (G:14.96% B:0.55%) 
54.72% (G:14.74% B:0.58%) 
Cubeless Equities 
0.241 
0.147 
Cubeful Equities 
No double:  +0.024  
Double/Take:  0.147 (0.171)  
Double/Pass:  +1.000 (+0.976) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.0% 


54: 24/15 


1.  5ply  24/15  eq: 0.093 
 Player: Opponent:  42.73% (G:7.48% B:0.24%) 57.27% (G:16.49% B:0.53%)  

2.  5ply  24/20 13/8  eq: 0.148 (0.055) 
 Player: Opponent:  40.71% (G:7.70% B:0.23%) 59.29% (G:16.78% B:0.57%)  

3.  5ply  24/20 8/3  eq: 0.158 (0.065) 
 Player: Opponent:  40.11% (G:8.41% B:0.28%) 59.89% (G:18.30% B:0.76%)  

4.  3ply  24/20 6/1  eq: 0.210 (0.117) 
 Player: Opponent:  38.87% (G:7.89% B:0.22%) 61.13% (G:18.73% B:0.84%)  

5.  3ply  13/9 8/3  eq: 0.225 (0.132) 
 Player: Opponent:  38.00% (G:8.13% B:0.30%) 62.00% (G:17.70% B:1.06%)  



64: 11/5 9/5 


1.  3ply  11/5 9/5  eq: +0.148 
 Player: Opponent:  58.07% (G:16.72% B:0.39%) 41.93% (G:5.91% B:0.13%)  

2.  3ply  13/7 11/7  eq: +0.041 (0.107) 
 Player: Opponent:  55.52% (G:14.28% B:0.38%) 44.48% (G:6.62% B:0.18%)  

3.  2ply  13/9 11/5  eq: 0.093 (0.242) 
 Player: Opponent:  51.90% (G:13.25% B:0.41%) 48.10% (G:7.77% B:0.21%)  

4.  2ply  21/11  eq: 0.102 (0.250) 
 Player: Opponent:  53.36% (G:11.68% B:0.44%) 46.64% (G:9.99% B:0.33%)  

5.  2ply  8/2 6/2  eq: 0.146 (0.295) 
 Player: Opponent:  50.24% (G:13.05% B:0.34%) 49.76% (G:7.86% B:0.25%)  



41: 24/23 15/11 


1.  XG Roller++  15/11 6/5  eq: 0.251 
 Player: Opponent:  38.13% (G:6.62% B:0.23%) 61.87% (G:21.25% B:0.78%)  

2.  XG Roller++  24/23 15/11  eq: 0.314 (0.063) 
 Player: Opponent:  36.95% (G:5.57% B:0.19%) 63.05% (G:20.53% B:0.47%)  

3.  5ply  15/11 8/7  eq: 0.327 (0.076) 
 Player: Opponent:  37.05% (G:6.68% B:0.23%) 62.95% (G:22.67% B:0.84%)  

4.  3ply  15/10  eq: 0.354 (0.103) 
 Player: Opponent:  35.98% (G:5.86% B:0.18%) 64.02% (G:20.90% B:0.64%)  

5.  3ply  13/8  eq: 0.379 (0.128) 
 Player: Opponent:  35.69% (G:5.79% B:0.17%) 64.31% (G:22.62% B:0.63%)  



66: 21/9(2) 


1.  5ply  21/9(2)  eq: +0.884 
 Player: Opponent:  80.00% (G:14.75% B:0.16%) 20.00% (G:1.47% B:0.03%)  

2.  5ply  21/15(2) 8/2*(2)  eq: +0.714 (0.170) 
 Player: Opponent:  73.76% (G:30.26% B:0.36%) 26.24% (G:4.32% B:0.13%)  

3.  2ply  21/15(2) 13/7(2)  eq: +0.747 (0.137) 
 Player: Opponent:  75.44% (G:20.32% B:0.51%) 24.56% (G:3.66% B:0.11%)  

4.  2ply  21/9 8/2*(2)  eq: +0.610 (0.274) 
 Player: Opponent:  68.96% (G:30.98% B:0.45%) 31.04% (G:4.85% B:0.23%)  

5.  2ply  21/15(2) 13/1  eq: +0.572 (0.312) 
 Player: Opponent:  70.92% (G:18.80% B:0.22%) 29.08% (G:4.51% B:0.16%)  



51: 11/5 


1.  XG Roller++  8/3 6/5  eq: 0.920 
 Player: Opponent:  19.37% (G:1.91% B:0.05%) 80.63% (G:21.31% B:0.29%)  

2.  XG Roller++  11/5  eq: 0.944 (0.024) 
 Player: Opponent:  18.42% (G:1.66% B:0.04%) 81.58% (G:20.32% B:0.20%)  

3.  5ply  13/8 6/5  eq: 0.951 (0.031) 
 Player: Opponent:  19.28% (G:1.66% B:0.05%) 80.72% (G:20.05% B:0.21%)  

4.  5ply  13/7  eq: 0.958 (0.038) 
 Player: Opponent:  18.88% (G:1.63% B:0.04%) 81.12% (G:20.26% B:0.22%)  

5.  4ply  8/7 8/3  eq: 0.938 (0.019) 
 Player: Opponent:  18.73% (G:1.87% B:0.04%) 81.27% (G:21.65% B:0.29%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
81.22% (G:20.63% B:0.18%) 
81.18% (G:20.72% B:0.22%) 
Opponent Winning Chances: 
18.78% (G:1.65% B:0.05%) 
18.82% (G:1.62% B:0.04%) 
Cubeless Equities 
+0.914 
+1.590 
Cubeful Equities 
No double:  +0.965  
Double/Take:  +0.842 (0.123)  
Double/Pass:  +1.000 (+0.035) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 43.8% 


11: 6/4(2) 


1.  5ply  6/4(2)  eq: +0.964 
 Player: Opponent:  82.60% (G:17.74% B:0.17%) 17.40% (G:1.38% B:0.03%)  

2.  5ply  9/7(2)  eq: +0.925 (0.039) 
 Player: Opponent:  81.62% (G:13.56% B:0.12%) 18.38% (G:1.36% B:0.03%)  

3.  3ply  9/7 8/7 6/5  eq: +0.893 (0.072) 
 Player: Opponent:  80.28% (G:16.17% B:0.18%) 19.72% (G:1.82% B:0.03%)  

4.  3ply  8/7(3) 6/5  eq: +0.868 (0.097) 
 Player: Opponent:  80.06% (G:12.65% B:0.11%) 19.94% (G:1.21% B:0.02%)  

5.  3ply  8/5 6/5  eq: +0.805 (0.159) 
 Player: Opponent:  78.16% (G:14.82% B:0.14%) 21.84% (G:1.84% B:0.03%)  



63: 13/7 8/5 


1.  5ply  13/7 8/5  eq: 0.967 
 Player: Opponent:  17.70% (G:1.48% B:0.03%) 82.30% (G:17.36% B:0.16%)  

2.  5ply  13/7 6/3  eq: 0.983 (0.016) 
 Player: Opponent:  17.20% (G:1.45% B:0.03%) 82.80% (G:21.40% B:0.41%)  

3.  5ply  13/10 13/7  eq: 0.995 (0.028) 
 Player: Opponent:  17.06% (G:1.46% B:0.03%) 82.94% (G:20.54% B:0.46%)  

4.  5ply  13/4  eq: 1.000 (0.033) 
 Player: Opponent:  16.90% (G:1.43% B:0.03%) 83.10% (G:20.67% B:0.40%)  

5.  4ply  8/5 8/2  eq: 1.000 (0.033) 
 Player: Opponent:  16.85% (G:1.72% B:0.04%) 83.15% (G:20.83% B:0.21%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
82.30% (G:17.36% B:0.16%) 
82.38% (G:18.39% B:0.26%) 
Opponent Winning Chances: 
17.70% (G:1.48% B:0.03%) 
17.62% (G:1.47% B:0.03%) 
Cubeless Equities 
+0.889 
+1.648 
Cubeful Equities 
No double:  +0.967  
Double/Take:  +0.946 (0.021)  
Double/Pass:  +1.000 (+0.033) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 27.8% 


54: 13/4 


1.  5ply  13/4  eq: +0.948 
 Player: Opponent:  82.97% (G:13.26% B:0.12%) 17.03% (G:1.05% B:0.03%)  

2.  5ply  9/5 9/4  eq: +0.929 (0.019) 
 Player: Opponent:  81.88% (G:14.90% B:0.10%) 18.12% (G:1.31% B:0.03%)  

3.  3ply  13/8 9/5  eq: +0.806 (0.143) 
 Player: Opponent:  78.13% (G:12.00% B:0.12%) 21.87% (G:1.66% B:0.03%)  

4.  3ply  13/9 6/1  eq: +0.804 (0.144) 
 Player: Opponent:  78.69% (G:11.07% B:0.09%) 21.31% (G:1.77% B:0.03%)  

5.  2ply  8/4 6/1  eq: +0.811 (0.137) 
 Player: Opponent:  77.72% (G:12.53% B:0.12%) 22.28% (G:2.05% B:0.05%)  



64: 13/7 8/4 


1.  5ply  13/7 8/4  eq: 0.983 
 Player: Opponent:  17.19% (G:1.32% B:0.03%) 82.81% (G:14.39% B:0.26%)  

2.  5ply  13/3  eq: 1.000 (0.017) 
 Player: Opponent:  16.44% (G:1.22% B:0.02%) 83.56% (G:15.69% B:0.32%)  

3.  5ply  8/2 6/2  eq: 1.000 (0.017) 
 Player: Opponent:  16.77% (G:1.26% B:0.02%) 83.23% (G:16.53% B:0.26%)  

4.  5ply  13/7 6/2  eq: 1.000 (0.017) 
 Player: Opponent:  16.82% (G:1.26% B:0.02%) 83.18% (G:16.84% B:0.28%)  

5.  4ply  13/9 8/2  eq: 1.000 (0.017) 
 Player: Opponent:  15.53% (G:0.97% B:0.02%) 84.47% (G:14.60% B:0.23%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
82.38% (G:14.83% B:0.19%) 
83.49% (G:12.08% B:0.19%) 
Opponent Winning Chances: 
17.62% (G:1.50% B:0.04%) 
16.51% (G:1.05% B:0.03%) 
Cubeless Equities 
+0.853 
+1.715 
Cubeful Equities 
No double:  +0.943 (0.057)  
Double/Take:  +1.043 (+0.043)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


32: 13/11 13/10 


1.  5ply  13/11 13/10  eq: +0.807 
 Player: Opponent:  79.25% (G:8.53% B:0.12%) 20.75% (G:1.32% B:0.03%)  

2.  5ply  8/5 6/4  eq: +0.749 (0.058) 
 Player: Opponent:  77.08% (G:8.93% B:0.10%) 22.92% (G:1.63% B:0.03%)  

3.  5ply  8/5 4/2*  eq: +0.561 (0.246) 
 Player: Opponent:  72.91% (G:20.34% B:0.40%) 27.09% (G:5.97% B:0.19%)  

4.  3ply  6/1  eq: +0.711 (0.096) 
 Player: Opponent:  76.04% (G:9.46% B:0.09%) 23.96% (G:2.24% B:0.04%)  

5.  3ply  8/6 4/1  eq: +0.705 (0.102) 
 Player: Opponent:  75.86% (G:10.58% B:0.10%) 24.14% (G:2.56% B:0.06%)  



33: 8/5 7/4 6/3(2) 


1.  5ply  8/5 7/4 6/3(2)  eq: 0.970 
 Player: Opponent:  17.35% (G:1.02% B:0.02%) 82.65% (G:8.21% B:0.16%)  

2.  5ply  7/4(2) 6/3(2)  eq: 0.977 (0.007) 
 Player: Opponent:  17.26% (G:0.92% B:0.02%) 82.74% (G:8.33% B:0.14%)  

3.  5ply  13/10 7/4 6/3(2)  eq: 0.987 (0.017) 
 Player: Opponent:  17.15% (G:0.92% B:0.02%) 82.85% (G:8.20% B:0.18%)  

4.  5ply  13/10 13/4  eq: 1.000 (0.030) 
 Player: Opponent:  16.91% (G:0.92% B:0.02%) 83.09% (G:6.97% B:0.14%)  

5.  4ply  13/10(2) 6/3(2)  eq: 1.000 (0.030) 
 Player: Opponent:  16.91% (G:0.80% B:0.02%) 83.09% (G:6.99% B:0.07%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
82.58% (G:6.52% B:0.07%) 
83.11% (G:6.69% B:0.07%) 
Opponent Winning Chances: 
17.42% (G:0.88% B:0.02%) 
16.89% (G:0.76% B:0.01%) 
Cubeless Equities 
+0.740 
+1.711 
Cubeful Equities 
No double:  +0.904 (0.096)  
Double/Take:  +1.009 (+0.009)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


62: 8/2* 4/2 


1.  3ply  8/2* 4/2  eq: +1.006 
 Player: Opponent:  85.29% (G:9.95% B:0.11%) 14.71% (G:0.83% B:0.02%)  

2.  3ply  11/5 10/8  eq: +0.809 (0.198) 
 Player: Opponent:  78.84% (G:3.61% B:0.05%) 21.16% (G:0.57% B:0.01%)  

3.  2ply  11/9 10/4  eq: +0.809 (0.197) 
 Player: Opponent:  76.57% (G:3.01% B:0.06%) 23.43% (G:0.87% B:0.01%)  

4.  2ply  11/5 8/6  eq: +0.782 (0.224) 
 Player: Opponent:  75.27% (G:4.39% B:0.08%) 24.73% (G:1.42% B:0.02%)  

5.  2ply  11/5 6/4  eq: +0.704 (0.302) 
 Player: Opponent:  73.35% (G:3.42% B:0.08%) 26.65% (G:1.69% B:0.02%)  



62: Cannot Move 


1.  5ply  Cannot Move  eq: 1.068 
 Player: Opponent:  11.53% (G:0.66% B:0.02%) 88.47% (G:14.70% B:0.14%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
88.47% (G:14.70% B:0.14%) 
88.77% (G:14.99% B:0.15%) 
Opponent Winning Chances: 
11.53% (G:0.66% B:0.02%) 
11.23% (G:0.50% B:0.01%) 
Cubeless Equities 
+0.981 
+1.968 
Cubeful Equities 
No double:  +1.068  
Double/Take:  +1.502 (+0.434)  
Double/Pass:  +1.000 (0.068) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 13.6% 


61: 11/4 


1.  5ply  11/4  eq: +1.052 
 Player: Opponent:  87.38% (G:11.83% B:0.09%) 12.62% (G:0.48% B:0.00%)  

2.  5ply  11/5 10/9  eq: +1.051 (0.001) 
 Player: Opponent:  87.84% (G:11.97% B:0.09%) 12.16% (G:0.46% B:0.00%)  

3.  5ply  10/4 6/5  eq: +1.046 (0.006) 
 Player: Opponent:  87.09% (G:12.32% B:0.10%) 12.91% (G:0.56% B:0.01%)  

4.  5ply  11/5 6/5  eq: +1.030 (0.021) 
 Player: Opponent:  86.48% (G:10.69% B:0.07%) 13.52% (G:0.53% B:0.00%)  

5.  3ply  11/5 9/8  eq: +0.942 (0.109) 
 Player: Opponent:  83.70% (G:11.26% B:0.11%) 16.30% (G:1.19% B:0.02%)  



31: Bar/24 7/4 


1.  5ply  Bar/24 13/10  eq: 1.000 
 Player: Opponent:  15.70% (G:0.68% B:0.02%) 84.30% (G:8.60% B:0.16%)  

2.  5ply  Bar/24 8/5  eq: 1.000 
 Player: Opponent:  15.12% (G:0.59% B:0.01%) 84.88% (G:7.95% B:0.11%)  

3.  5ply  Bar/24 7/4  eq: 1.000 
 Player: Opponent:  15.23% (G:0.60% B:0.01%) 84.77% (G:8.68% B:0.12%)  

4.  5ply  Bar/24 5/2  eq: 1.000 
 Player: Opponent:  15.37% (G:0.72% B:0.02%) 84.63% (G:10.00% B:0.18%)  

5.  4ply  Bar/24 6/3  eq: 1.000 
 Player: Opponent:  15.11% (G:0.64% B:0.01%) 84.89% (G:8.51% B:0.06%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.80% (G:5.76% B:0.05%) 
85.24% (G:6.86% B:0.06%) 
Opponent Winning Chances: 
15.20% (G:0.53% B:0.01%) 
14.76% (G:0.52% B:0.01%) 
Cubeless Equities 
+0.776 
+1.814 
Cubeful Equities 
No double:  +0.967 (0.033)  
Double/Take:  +1.195 (+0.195)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


52: 10/5 4/2 


1.  5ply  10/5 4/2  eq: +0.979 
 Player: Opponent:  84.80% (G:4.89% B:0.04%) 15.20% (G:0.46% B:0.00%)  

2.  5ply  10/5 6/4  eq: +0.972 (0.006) 
 Player: Opponent:  83.88% (G:4.27% B:0.03%) 16.12% (G:0.48% B:0.00%)  

3.  3ply  10/8 9/4  eq: +0.866 (0.113) 
 Player: Opponent:  80.12% (G:3.51% B:0.02%) 19.88% (G:0.81% B:0.01%)  

4.  2ply  10/5 8/6  eq: +0.788 (0.191) 
 Player: Opponent:  78.90% (G:4.59% B:0.06%) 21.10% (G:1.14% B:0.02%)  

5.  2ply  9/2  eq: +0.775 (0.204) 
 Player: Opponent:  77.45% (G:3.73% B:0.07%) 22.55% (G:1.70% B:0.05%)  



11: 13/11 8/6 


1.  5ply  13/12 13/11 8/7  eq: 1.000 
 Player: Opponent:  13.78% (G:0.41% B:0.01%) 86.22% (G:6.65% B:0.09%)  

2.  5ply  13/10 8/7  eq: 1.000 
 Player: Opponent:  13.85% (G:0.45% B:0.01%) 86.15% (G:7.21% B:0.09%)  

3.  5ply  13/12 13/10  eq: 1.000 
 Player: Opponent:  13.68% (G:0.44% B:0.01%) 86.32% (G:6.86% B:0.09%)  

4.  5ply  13/11(2)  eq: 1.000 
 Player: Opponent:  13.47% (G:0.43% B:0.01%) 86.53% (G:6.48% B:0.08%)  

5.  5ply  13/11 8/6  eq: 1.000 
 Player: Opponent:  13.52% (G:0.41% B:0.01%) 86.48% (G:6.83% B:0.09%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
86.33% (G:4.75% B:0.04%) 
87.15% (G:5.24% B:0.04%) 
Opponent Winning Chances: 
13.67% (G:0.35% B:0.01%) 
12.85% (G:0.31% B:0.01%) 
Cubeless Equities 
+0.794 
+1.906 
Cubeful Equities 
No double:  +0.978 (0.022)  
Double/Take:  +1.361 (+0.361)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


64: 8/4 8/2 


1.  3ply  8/4 8/2  eq: +0.987 
 Player: Opponent:  84.87% (G:2.99% B:0.02%) 15.13% (G:0.47% B:0.00%)  

2.  2ply  9/5 8/2  eq: +0.681 (0.306) 
 Player: Opponent:  75.21% (G:2.46% B:0.04%) 24.79% (G:1.74% B:0.05%)  

3.  1ply  8/2 6/2  eq: +0.605 (0.382) 
 Player: Opponent:  73.27% (G:2.55% B:0.02%) 26.73% (G:2.34% B:0.01%)  

4.  1ply  9/5 9/3  eq: +0.455 (0.532) 
 Player: Opponent:  68.49% (G:3.55% B:0.04%) 31.51% (G:3.13% B:0.01%)  

5.  1ply  8/2 5/1*  eq: +0.289 (0.698) 
 Player: Opponent:  64.94% (G:6.95% B:0.12%) 35.06% (G:7.17% B:0.06%)  



42: 11/5 


1.  5ply  6/2 4/2  eq: 1.000 
 Player: Opponent:  15.66% (G:0.36% B:0.01%) 84.34% (G:5.52% B:0.06%)  

2.  5ply  13/7  eq: 1.000 
 Player: Opponent:  14.16% (G:0.34% B:0.01%) 85.84% (G:3.84% B:0.06%)  

3.  5ply  11/7 4/2  eq: 1.000 
 Player: Opponent:  14.65% (G:0.40% B:0.01%) 85.35% (G:5.03% B:0.08%)  

4.  5ply  11/5  eq: 1.000 
 Player: Opponent:  13.92% (G:0.28% B:0.01%) 86.08% (G:4.06% B:0.05%)  

5.  5ply  13/9 6/4  eq: 1.000 
 Player: Opponent:  14.04% (G:0.28% B:0.01%) 85.96% (G:4.35% B:0.05%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
86.38% (G:3.22% B:0.03%) 
86.09% (G:3.38% B:0.02%) 
Opponent Winning Chances: 
13.62% (G:0.28% B:0.01%) 
13.91% (G:0.20% B:0.00%) 
Cubeless Equities 
+0.773 
+1.865 
Cubeful Equities 
No double:  +0.893 (0.107)  
Double/Take:  +1.269 (+0.269)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


41: 5/1* 2/1 


1.  3ply  5/1* 2/1  eq: +1.000 
 Player: Opponent:  89.70% (G:6.28% B:0.04%) 10.30% (G:0.28% B:0.00%)  

2.  3ply  9/4  eq: +0.888 (0.112) 
 Player: Opponent:  85.12% (G:2.33% B:0.01%) 14.88% (G:0.21% B:0.00%)  

3.  3ply  9/5 6/5  eq: +0.887 (0.113) 
 Player: Opponent:  81.91% (G:1.83% B:0.01%) 18.09% (G:0.21% B:0.00%)  

4.  2ply  6/2 5/4  eq: +0.839 (0.161) 
 Player: Opponent:  77.91% (G:1.22% B:0.03%) 22.09% (G:0.92% B:0.02%)  

5.  2ply  9/8 9/5  eq: +0.789 (0.211) 
 Player: Opponent:  81.53% (G:1.71% B:0.03%) 18.47% (G:0.48% B:0.01%)  



61: Cannot Move 


1.  5ply  Cannot Move  eq: 1.000 
 Player: Opponent:  9.85% (G:0.17% B:0.00%) 90.15% (G:6.68% B:0.04%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
88.90% (G:7.19% B:0.04%) 
90.22% (G:5.72% B:0.02%) 
Opponent Winning Chances: 
11.10% (G:0.28% B:0.01%) 
9.78% (G:0.18% B:0.00%) 
Cubeless Equities 
+0.882 
+2.045 
Cubeful Equities 
No double:  +0.943 (0.057)  
Double/Take:  +1.628 (+0.628)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


32: 9/7 9/6 


1.  XG Roller++  6/1  eq: +0.997 
 Player: Opponent:  86.92% (G:4.77% B:0.03%) 13.08% (G:0.56% B:0.02%)  

2.  XG Roller++  9/7 9/6  eq: +0.915 (0.082) 
 Player: Opponent:  89.12% (G:5.78% B:0.04%) 10.88% (G:0.16% B:0.00%)  

3.  5ply  9/4  eq: +0.924 (0.073) 
 Player: Opponent:  89.96% (G:5.82% B:0.03%) 10.04% (G:0.14% B:0.00%)  

4.  3ply  9/6 4/2  eq: +0.900 (0.097) 
 Player: Opponent:  87.23% (G:4.56% B:0.02%) 12.77% (G:0.17% B:0.00%)  

5.  2ply  9/7 4/1  eq: +0.800 (0.197) 
 Player: Opponent:  83.59% (G:4.89% B:0.03%) 16.41% (G:0.84% B:0.02%)  



42: Cannot Move 


1.  5ply  Cannot Move  eq: 1.023 
 Player: Opponent:  7.46% (G:0.02% B:0.00%) 92.54% (G:7.32% B:0.06%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
92.54% (G:7.32% B:0.06%) 
93.03% (G:6.29% B:0.04%) 
Opponent Winning Chances: 
7.46% (G:0.02% B:0.00%) 
6.97% (G:0.02% B:0.00%) 
Cubeless Equities 
+0.959 
+2.174 
Cubeful Equities 
No double:  +1.023  
Double/Take:  +1.873 (+0.850)  
Double/Pass:  +1.000 (0.023) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 2.6% 


21: 7/5 6/5 


1.  5ply  7/5 6/5  eq: +1.057 
 Player: Opponent:  94.81% (G:7.14% B:0.04%) 5.19% (G:0.00% B:0.00%)  

2.  5ply  7/5 2/1  eq: +1.041 (0.016) 
 Player: Opponent:  93.91% (G:6.54% B:0.03%) 6.09% (G:0.00% B:0.00%)  

3.  5ply  7/4  eq: +1.032 (0.025) 
 Player: Opponent:  93.66% (G:5.78% B:0.03%) 6.34% (G:0.00% B:0.00%)  

4.  5ply  7/6 2/Off  eq: +1.030 (0.026) 
 Player: Opponent:  93.27% (G:6.57% B:0.04%) 6.73% (G:0.00% B:0.00%)  

5.  4ply  7/6 4/2  eq: +1.000 (0.057) 
 Player: Opponent:  88.75% (G:4.01% B:0.03%) 11.25% (G:0.04% B:0.00%)  



63: Bar/16 


1.  5ply  Bar/16  eq: 1.000 
 Player: Opponent:  1.65% (G:0.00% B:0.00%) 98.35% (G:0.02% B:0.00%)  

2.  5ply  Bar/22 13/7  eq: 1.012 (0.012) 
 Player: Opponent:  4.98% (G:0.00% B:0.00%) 95.02% (G:2.29% B:0.02%)  



32: 6/3 2/Off 


1.  5ply  6/3 2/Off  eq: +1.000 
 Player: Opponent:  97.63% (G:0.00% B:0.00%) 2.37% (G:0.00% B:0.00%)  

2.  5ply  4/1 2/Off  eq: +1.000 (0.000) 
 Player: Opponent:  97.22% (G:0.00% B:0.00%) 2.78% (G:0.00% B:0.00%)  

3.  5ply  6/3 5/3  eq: +1.000 (0.000) 
 Player: Opponent:  97.45% (G:0.00% B:0.00%) 2.55% (G:0.00% B:0.00%)  

4.  4ply  5/Off  eq: +1.000 (0.000) 
 Player: Opponent:  97.55% (G:0.00% B:0.00%) 2.45% (G:0.00% B:0.00%)  

5.  3ply  5/3 5/2  eq: +1.000 (0.000) 
 Player: Opponent:  97.05% (G:0.00% B:0.00%) 2.95% (G:0.00% B:0.00%)  



52: 16/11 13/11 


1.  5ply  13/6  eq: 1.000 
 Player: Opponent:  1.72% (G:0.00% B:0.00%) 98.28% (G:0.00% B:0.00%)  

2.  5ply  16/9  eq: 1.000 
 Player: Opponent:  1.62% (G:0.00% B:0.00%) 98.38% (G:0.00% B:0.00%)  

3.  5ply  16/11 13/11  eq: 1.000 
 Player: Opponent:  1.66% (G:0.00% B:0.00%) 98.34% (G:0.00% B:0.00%)  

4.  5ply  16/14 6/1  eq: 1.000 (0.000) 
 Player: Opponent:  1.37% (G:0.00% B:0.00%) 98.63% (G:0.02% B:0.00%)  

5.  4ply  16/14 13/8  eq: 1.000 
 Player: Opponent:  1.65% (G:0.00% B:0.00%) 98.35% (G:0.00% B:0.00%)  



52: 5/Off 2/Off 


1.  5ply  5/Off 2/Off  eq: +1.000 
 Player: Opponent:  98.39% (G:0.00% B:0.00%) 1.61% (G:0.00% B:0.00%)  

2.  5ply  5/Off 4/2  eq: +1.000 
 Player: Opponent:  98.04% (G:0.00% B:0.00%) 1.96% (G:0.00% B:0.00%)  

3.  5ply  6/1 5/3  eq: +1.000 
 Player: Opponent:  97.63% (G:0.00% B:0.00%) 2.37% (G:0.00% B:0.00%)  

4.  4ply  6/4 5/Off  eq: +1.000 
 Player: Opponent:  97.93% (G:0.00% B:0.00%) 2.07% (G:0.00% B:0.00%)  

5.  4ply  5/Off 3/1  eq: +1.000 
 Player: Opponent:  97.75% (G:0.00% B:0.00%) 2.25% (G:0.00% B:0.00%)  



44: 11/3(2) 


1.  5ply  11/3(2)  eq: 1.000 
 Player: Opponent:  3.15% (G:0.00% B:0.00%) 96.85% (G:0.00% B:0.00%)  

2.  5ply  11/7 11/3 6/2  eq: 1.000 
 Player: Opponent:  3.04% (G:0.00% B:0.00%) 96.96% (G:0.00% B:0.00%)  

3.  5ply  11/7(2) 6/2(2)  eq: 1.000 
 Player: Opponent:  2.35% (G:0.00% B:0.00%) 97.65% (G:0.02% B:0.00%)  

4.  4ply  11/7 11/3 5/1  eq: 1.000 
 Player: Opponent:  2.80% (G:0.00% B:0.00%) 97.20% (G:0.00% B:0.00%)  

5.  4ply  11/3 6/2 5/1  eq: 1.000 
 Player: Opponent:  2.76% (G:0.00% B:0.00%) 97.24% (G:0.00% B:0.00%)  



Double/Pass 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
96.85% (G:0.00% B:0.00%) 
96.85% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
3.15% (G:0.00% B:0.00%) 
3.15% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.937 
+2.341 
Cubeful Equities 
No double:  +0.997 (0.003)  
Double/Take:  +2.204 (+1.204)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



