32: 13/11 13/10 


1.  Book^{1}  13/11 13/10  eq: +0.232 
 Player: Opponent:  50.19% (G:15.27% B:0.62%) 49.81% (G:15.02% B:1.85%)  Conf.: ± 0.003 (+0.229...+0.235)  [99.2%] 

2.  Book^{1}  24/21 13/11  eq: +0.226 (0.005) 
 Player: Opponent:  50.55% (G:13.77% B:0.57%) 49.45% (G:14.22% B:1.36%)  Conf.: ± 0.003 (+0.223...+0.230)  [0.8%] 

3.  Book^{1}  24/22 13/10  eq: +0.212 (0.020) 
 Player: Opponent:  50.11% (G:13.93% B:0.55%) 49.89% (G:14.46% B:1.37%)  Conf.: ± 0.003 (+0.209...+0.215)  [0.0%] 

4.  Book^{2}  13/11 8/5  eq: +0.194 (0.038) 
 Player: Opponent:  49.47% (G:14.59% B:0.56%) 50.53% (G:15.90% B:1.79%)  Conf.: ± 0.005 (+0.189...+0.200)  [0.0%] 

5.  Book^{2}  13/10 6/4  eq: +0.193 (0.039) 
 Player: Opponent:  49.57% (G:14.23% B:0.55%) 50.43% (G:15.69% B:1.89%)  Conf.: ± 0.005 (+0.187...+0.198)  [0.0%] 


^{1} Generated by Steven Carey on 10/08/2012 using eXtreme Gammon 2.00 31104 Games rolled with Variance Reduction. Dice Seed: 13 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by Steven Carey on 10/08/2012 using eXtreme Gammon 2.10 11665 Games rolled with Variance Reduction. Dice Seed: 75804804 Moves: 3ply, cube decisions: XG Roller



61: 13/7 8/7 


1.  3ply  13/7 8/7  eq: 0.216 
 Player: Opponent:  49.37% (G:13.43% B:0.67%) 50.63% (G:15.14% B:0.82%)  

2.  3ply  24/23 24/18  eq: 0.362 (0.146) 
 Player: Opponent:  45.73% (G:11.09% B:0.55%) 54.27% (G:17.23% B:0.62%)  

3.  3ply  24/23 13/7  eq: 0.368 (0.152) 
 Player: Opponent:  45.31% (G:12.17% B:0.60%) 54.69% (G:16.77% B:0.88%)  

4.  3ply  13/7 6/5  eq: 0.401 (0.185) 
 Player: Opponent:  45.52% (G:11.86% B:0.60%) 54.48% (G:17.53% B:1.39%)  

5.  2ply  24/18 6/5  eq: 0.390 (0.174) 
 Player: Opponent:  45.77% (G:11.43% B:0.62%) 54.23% (G:19.69% B:1.01%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
50.48% (G:15.15% B:0.77%) 
50.52% (G:15.10% B:0.73%) 
Opponent Winning Chances: 
49.52% (G:13.54% B:0.67%) 
49.48% (G:13.54% B:0.68%) 
Cubeless Equities 
+0.001 
+0.144 
Cubeful Equities 
No double:  +0.223  
Double/Take:  +0.120 (0.103)  
Double/Pass:  +1.000 (+0.777) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.5% 


66: 13/7(3) 11/5 


1.  5ply  13/7(3) 11/5  eq: +0.153 
 Player: Opponent:  47.84% (G:15.09% B:0.90%) 52.16% (G:13.37% B:0.78%)  

2.  5ply  13/7(3) 10/4  eq: +0.090 (0.063) 
 Player: Opponent:  46.14% (G:14.59% B:0.85%) 53.86% (G:13.68% B:0.81%)  

3.  3ply  13/7(3) 8/2  eq: 0.002 (0.155) 
 Player: Opponent:  44.21% (G:13.69% B:0.79%) 55.79% (G:15.79% B:1.15%)  

4.  2ply  13/7(2) 8/2(2)  eq: 0.042 (0.195) 
 Player: Opponent:  42.80% (G:14.10% B:0.77%) 57.20% (G:17.29% B:1.17%)  

5.  2ply  13/7(2) 11/5 10/4  eq: 0.076 (0.228) 
 Player: Opponent:  42.92% (G:12.20% B:0.61%) 57.08% (G:17.90% B:1.40%)  



31: 24/20* 


1.  3ply  24/20*  eq: +0.056 
 Player: Opponent:  56.77% (G:15.47% B:0.99%) 43.23% (G:11.90% B:0.51%)  

2.  2ply  8/5 6/5  eq: 0.163 (0.219) 
 Player: Opponent:  51.80% (G:15.16% B:0.78%) 48.20% (G:16.47% B:1.18%)  

3.  1ply  13/10 6/5  eq: 0.376 (0.432) 
 Player: Opponent:  46.47% (G:12.06% B:0.55%) 53.53% (G:19.00% B:1.76%)  

4.  1ply  13/12 13/10  eq: 0.452 (0.508) 
 Player: Opponent:  43.81% (G:11.75% B:0.52%) 56.19% (G:18.58% B:1.61%)  

5.  1ply  24/23 24/21  eq: 0.497 (0.554) 
 Player: Opponent:  43.79% (G:9.59% B:0.46%) 56.21% (G:21.51% B:0.80%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
43.25% (G:12.01% B:0.52%) 
43.27% (G:11.89% B:0.50%) 
Opponent Winning Chances: 
56.75% (G:15.32% B:1.01%) 
56.73% (G:15.17% B:0.99%) 
Cubeless Equities 
0.188 
0.217 
Cubeful Equities 
No double:  0.049  
Double/Take:  0.245 (0.195)  
Double/Pass:  +1.000 (+1.049) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.6% 


62: Bar/23 10/4 


1.  5ply  Bar/23 10/4  eq: 0.277 
 Player: Opponent:  37.21% (G:9.17% B:0.34%) 62.79% (G:15.59% B:0.97%)  

2.  5ply  Bar/23 7/1*  eq: 0.341 (0.064) 
 Player: Opponent:  35.37% (G:9.18% B:0.29%) 64.63% (G:17.58% B:1.23%)  

3.  3ply  Bar/23 8/2  eq: 0.388 (0.111) 
 Player: Opponent:  34.41% (G:8.51% B:0.35%) 65.59% (G:19.83% B:1.68%)  



51: 20/15 13/12 


1.  5ply  20/15 13/12  eq: +0.062 
 Player: Opponent:  58.23% (G:12.89% B:0.71%) 41.77% (G:13.24% B:0.40%)  

2.  5ply  20/14  eq: +0.031 (0.032) 
 Player: Opponent:  57.24% (G:12.41% B:0.68%) 42.76% (G:13.29% B:0.35%)  

3.  5ply  24/23 20/15  eq: +0.029 (0.033) 
 Player: Opponent:  57.37% (G:12.31% B:0.67%) 42.63% (G:13.62% B:0.36%)  

4.  3ply  24/23 13/8  eq: 0.060 (0.123) 
 Player: Opponent:  54.64% (G:14.25% B:0.84%) 45.36% (G:14.99% B:0.53%)  

5.  3ply  13/7  eq: 0.078 (0.140) 
 Player: Opponent:  54.33% (G:14.38% B:0.88%) 45.67% (G:15.06% B:0.58%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
41.77% (G:13.24% B:0.40%) 
41.98% (G:13.38% B:0.38%) 
Opponent Winning Chances: 
58.23% (G:12.89% B:0.71%) 
58.02% (G:13.08% B:0.74%) 
Cubeless Equities 
0.186 
0.207 
Cubeful Equities 
No double:  0.062  
Double/Take:  0.260 (0.198)  
Double/Pass:  +1.000 (+1.062) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.6% 


61: 23/22 7/1* 


1.  XG Roller++  23/16  eq: 0.352 
 Player: Opponent:  35.37% (G:9.14% B:0.38%) 64.63% (G:18.20% B:1.36%)  

2.  XG Roller++  23/22 7/1*  eq: 0.417 (0.065) 
 Player: Opponent:  33.31% (G:8.50% B:0.28%) 66.69% (G:17.48% B:1.31%)  

3.  3ply  23/22 8/2  eq: 0.404 (0.052) 
 Player: Opponent:  33.54% (G:8.59% B:0.37%) 66.46% (G:18.79% B:1.55%)  

4.  3ply  24/23 7/1*  eq: 0.421 (0.069) 
 Player: Opponent:  32.78% (G:8.47% B:0.34%) 67.22% (G:17.59% B:1.13%)  

5.  3ply  8/2 6/5  eq: 0.429 (0.077) 
 Player: Opponent:  33.46% (G:8.36% B:0.41%) 66.54% (G:21.52% B:2.15%)  



44: Bar/21* 13/9 7/3*(2) 


1.  XG Roller++  Bar/21* 13/9(2) 12/8  eq: +0.762 
 Player: Opponent:  74.60% (G:23.37% B:1.95%) 25.40% (G:4.54% B:0.15%)  

2.  XG Roller++  Bar/21* 13/9 7/3*(2)  eq: +0.718 (0.044) 
 Player: Opponent:  72.89% (G:29.84% B:3.33%) 27.11% (G:5.84% B:0.27%)  

3.  5ply  Bar/21* 15/11 13/9(2)  eq: +0.776 (+0.014) 
 Player: Opponent:  75.35% (G:21.51% B:1.45%) 24.65% (G:4.28% B:0.15%)  

4.  5ply  Bar/21* 13/9(3)  eq: +0.772 (+0.009) 
 Player: Opponent:  75.33% (G:21.19% B:1.35%) 24.67% (G:4.16% B:0.11%)  

5.  3ply  Bar/21* 15/11 7/3*(2)  eq: +0.668 (0.094) 
 Player: Opponent:  71.54% (G:29.19% B:3.36%) 28.46% (G:6.00% B:0.26%)  



33: Cannot Move 


1.  5ply  Cannot Move  eq: 1.000 
 Player: Opponent:  21.76% (G:3.86% B:0.22%) 78.24% (G:37.48% B:4.69%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
78.19% (G:37.51% B:4.78%) 
78.14% (G:37.07% B:4.86%) 
Opponent Winning Chances: 
21.81% (G:3.64% B:0.18%) 
21.86% (G:3.38% B:0.15%) 
Cubeless Equities 
+0.919 
+1.470 
Cubeful Equities 
No double:  +0.957 (0.043)  
Double/Take:  +1.063 (+0.063)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


21: 21/20 13/11 


1.  XG Roller++  15/14 12/10  eq: +0.795 
 Player: Opponent:  73.92% (G:33.91% B:4.34%) 26.08% (G:5.72% B:0.32%)  

2.  XG Roller++  21/20 12/10  eq: +0.781 (0.014) 
 Player: Opponent:  73.65% (G:33.74% B:4.33%) 26.35% (G:5.77% B:0.32%)  

3.  XG Roller++  21/20 13/11  eq: +0.724 (0.070) 
 Player: Opponent:  72.79% (G:32.05% B:3.97%) 27.21% (G:5.97% B:0.41%)  

4.  5ply  12/9  eq: +0.791 (0.004) 
 Player: Opponent:  74.26% (G:29.81% B:3.46%) 25.74% (G:4.55% B:0.17%)  

5.  5ply  9/7 8/7  eq: +0.786 (0.008) 
 Player: Opponent:  74.30% (G:30.24% B:3.42%) 25.70% (G:5.09% B:0.22%)  



31: Bar/24 


1.  3ply  Bar/24  eq: 0.888 
 Player: Opponent:  23.87% (G:4.63% B:0.29%) 76.13% (G:34.69% B:4.35%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
75.68% (G:34.45% B:4.55%) 
75.47% (G:34.30% B:4.72%) 
Opponent Winning Chances: 
24.32% (G:4.52% B:0.33%) 
24.53% (G:4.26% B:0.24%) 
Cubeless Equities 
+0.832 
+1.316 
Cubeful Equities 
No double:  +0.847  
Double/Take:  +0.833 (0.014)  
Double/Pass:  +1.000 (+0.153) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.7% 


63: 11/5 8/5 


1.  5ply  11/5 8/5  eq: +0.839 
 Player: Opponent:  75.07% (G:36.74% B:5.13%) 24.93% (G:4.99% B:0.39%)  

2.  5ply  20/14 12/9  eq: +0.808 (0.031) 
 Player: Opponent:  74.83% (G:27.59% B:2.93%) 25.17% (G:3.80% B:0.15%)  

3.  5ply  20/11  eq: +0.787 (0.052) 
 Player: Opponent:  74.35% (G:28.24% B:3.02%) 25.65% (G:4.29% B:0.18%)  

4.  5ply  20/14 15/12  eq: +0.768 (0.072) 
 Player: Opponent:  74.10% (G:27.29% B:2.78%) 25.90% (G:4.26% B:0.19%)  

5.  4ply  20/14 11/8  eq: +0.758 (0.081) 
 Player: Opponent:  73.98% (G:27.78% B:2.58%) 26.02% (G:4.95% B:0.27%)  



65: Cannot Move 


1.  5ply  Cannot Move  eq: 1.045 
 Player: Opponent:  19.23% (G:2.43% B:0.13%) 80.77% (G:40.53% B:5.01%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
80.77% (G:40.53% B:5.01%) 
80.50% (G:40.99% B:5.28%) 
Opponent Winning Chances: 
19.23% (G:2.43% B:0.13%) 
19.50% (G:2.41% B:0.12%) 
Cubeless Equities 
+1.009 
+1.628 
Cubeful Equities 
No double:  +1.045  
Double/Take:  +1.282 (+0.237)  
Double/Pass:  +1.000 (0.045) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 15.8% 


54: 9/4 8/4 


1.  3ply  9/4 8/4  eq: +1.131 
 Player: Opponent:  83.19% (G:44.08% B:6.14%) 16.81% (G:1.48% B:0.06%)  

2.  3ply  20/15 12/8  eq: +1.023 (0.108) 
 Player: Opponent:  80.44% (G:37.32% B:4.55%) 19.56% (G:2.05% B:0.08%)  

3.  3ply  20/16 13/8  eq: +1.009 (0.122) 
 Player: Opponent:  79.87% (G:37.17% B:4.58%) 20.13% (G:2.11% B:0.08%)  

4.  3ply  20/15 13/9  eq: +0.972 (0.158) 
 Player: Opponent:  78.92% (G:35.57% B:4.19%) 21.08% (G:2.33% B:0.08%)  

5.  3ply  20/11  eq: +0.968 (0.163) 
 Player: Opponent:  78.70% (G:37.02% B:4.69%) 21.30% (G:2.91% B:0.18%)  



51: Bar/24 6/1 


1.  5ply  Bar/24 6/1  eq: 1.124 
 Player: Opponent:  15.85% (G:1.93% B:0.09%) 84.15% (G:42.61% B:4.74%)  

2.  5ply  Bar/24 8/3  eq: 1.154 (0.029) 
 Player: Opponent:  15.07% (G:1.64% B:0.09%) 84.93% (G:43.63% B:5.25%)  

3.  3ply  Bar/24 7/2  eq: 1.241 (0.116) 
 Player: Opponent:  13.29% (G:1.27% B:0.08%) 86.71% (G:48.87% B:6.60%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
84.15% (G:42.61% B:4.74%) 
83.98% (G:43.16% B:4.98%) 
Opponent Winning Chances: 
15.85% (G:1.93% B:0.09%) 
16.02% (G:1.89% B:0.08%) 
Cubeless Equities 
+1.095 
+1.794 
Cubeful Equities 
No double:  +1.124  
Double/Take:  +1.516 (+0.392)  
Double/Pass:  +1.000 (0.124) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 24.1% 


52: 20/15 6/4 


1.  XG Roller++  20/15 6/4  eq: +1.124 
 Player: Opponent:  83.87% (G:42.08% B:4.76%) 16.13% (G:1.64% B:0.06%)  

2.  XG Roller++  20/13  eq: +1.119 (0.004) 
 Player: Opponent:  84.05% (G:41.07% B:4.61%) 15.95% (G:1.55% B:0.06%)  

3.  5ply  20/15 12/10  eq: +1.113 (0.010) 
 Player: Opponent:  83.96% (G:40.45% B:4.63%) 16.04% (G:1.73% B:0.06%)  

4.  5ply  20/15 13/11  eq: +1.098 (0.025) 
 Player: Opponent:  83.30% (G:39.45% B:4.53%) 16.70% (G:1.80% B:0.06%)  

5.  3ply  15/10 12/10  eq: +1.064 (0.060) 
 Player: Opponent:  82.22% (G:40.46% B:4.76%) 17.78% (G:2.24% B:0.05%)  



42: 8/4 6/4 


1.  5ply  8/4 6/4  eq: 1.126 
 Player: Opponent:  15.40% (G:1.79% B:0.08%) 84.60% (G:42.76% B:4.68%)  

2.  5ply  8/4 7/5  eq: 1.183 (0.057) 
 Player: Opponent:  13.95% (G:1.37% B:0.07%) 86.05% (G:44.71% B:5.29%)  

3.  5ply  7/3 6/4  eq: 1.184 (0.058) 
 Player: Opponent:  13.88% (G:1.39% B:0.08%) 86.12% (G:44.63% B:5.30%)  

4.  5ply  8/2  eq: 1.201 (0.075) 
 Player: Opponent:  12.95% (G:1.39% B:0.07%) 87.05% (G:45.01% B:4.97%)  

5.  4ply  7/5 7/3  eq: 1.216 (0.091) 
 Player: Opponent:  12.62% (G:0.99% B:0.03%) 87.38% (G:44.54% B:5.07%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
84.60% (G:42.76% B:4.68%) 
84.70% (G:42.98% B:4.82%) 
Opponent Winning Chances: 
15.40% (G:1.79% B:0.08%) 
15.30% (G:1.64% B:0.07%) 
Cubeless Equities 
+1.105 
+1.823 
Cubeful Equities 
No double:  +1.126  
Double/Take:  +1.562 (+0.436)  
Double/Pass:  +1.000 (0.126) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 22.4% 


33: 15/12(2) 13/10 6/3 


1.  5ply  15/12(2) 13/10 6/3  eq: +1.131 
 Player: Opponent:  83.93% (G:41.22% B:4.82%) 16.07% (G:1.24% B:0.03%)  

2.  5ply  15/9 12/9 6/3  eq: +1.113 (0.017) 
 Player: Opponent:  83.54% (G:42.31% B:4.97%) 16.46% (G:1.39% B:0.03%)  

3.  5ply  15/9(2)  eq: +1.105 (0.026) 
 Player: Opponent:  83.48% (G:41.77% B:4.80%) 16.52% (G:1.40% B:0.03%)  

4.  5ply  15/9 13/10 12/9  eq: +1.104 (0.027) 
 Player: Opponent:  83.81% (G:39.48% B:4.60%) 16.19% (G:1.27% B:0.03%)  

5.  4ply  15/12 15/9 13/10  eq: +1.108 (0.023) 
 Player: Opponent:  83.60% (G:40.24% B:4.42%) 16.40% (G:1.38% B:0.05%)  



42: 7/5 7/3 


1.  5ply  7/5 7/3  eq: 1.181 
 Player: Opponent:  14.05% (G:0.94% B:0.04%) 85.95% (G:43.35% B:4.72%)  

2.  5ply  7/5 6/2  eq: 1.184 (0.004) 
 Player: Opponent:  13.95% (G:1.08% B:0.04%) 86.05% (G:44.10% B:5.01%)  

3.  5ply  8/4 7/5  eq: 1.191 (0.010) 
 Player: Opponent:  13.73% (G:0.76% B:0.03%) 86.27% (G:43.31% B:4.66%)  

4.  5ply  8/6 7/3  eq: 1.197 (0.016) 
 Player: Opponent:  13.42% (G:0.71% B:0.03%) 86.58% (G:43.17% B:4.64%)  

5.  4ply  7/3 6/4  eq: 1.214 (0.033) 
 Player: Opponent:  12.57% (G:0.66% B:0.01%) 87.43% (G:43.67% B:4.62%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
85.95% (G:43.35% B:4.72%) 
85.78% (G:43.86% B:4.97%) 
Opponent Winning Chances: 
14.05% (G:0.94% B:0.04%) 
14.22% (G:0.85% B:0.04%) 
Cubeless Equities 
+1.144 
+1.892 
Cubeful Equities 
No double:  +1.181  
Double/Take:  +1.667 (+0.486)  
Double/Pass:  +1.000 (0.181) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 27.1% 


44: 12/8 10/2 6/2 


1.  3ply  12/8 10/2 6/2  eq: +1.232 
 Player: Opponent:  87.09% (G:46.57% B:4.93%) 12.91% (G:0.58% B:0.01%)  

2.  3ply  12/8(2) 12/4  eq: +1.151 (0.082) 
 Player: Opponent:  84.40% (G:42.51% B:4.88%) 15.60% (G:0.72% B:0.01%)  

3.  3ply  12/8(2) 10/2  eq: +1.140 (0.092) 
 Player: Opponent:  84.06% (G:44.23% B:5.42%) 15.94% (G:1.70% B:0.03%)  

4.  3ply  12/8(3) 10/6  eq: +1.124 (0.108) 
 Player: Opponent:  84.25% (G:39.48% B:4.21%) 15.75% (G:0.58% B:0.00%)  

5.  3ply  12/8 12/4 10/6  eq: +1.119 (0.113) 
 Player: Opponent:  82.87% (G:42.98% B:5.19%) 17.13% (G:0.91% B:0.01%)  



61: 8/2 6/5 


1.  XG Roller++  24/18 6/5  eq: 1.147 
 Player: Opponent:  17.55% (G:0.38% B:0.01%) 82.46% (G:46.16% B:6.13%)  

2.  XG Roller++  24/17*  eq: 1.222 (0.075) 
 Player: Opponent:  18.18% (G:1.49% B:0.03%) 81.82% (G:54.30% B:11.97%)  

3.  XG Roller++  8/2 6/5  eq: 1.287 (0.140) 
 Player: Opponent:  11.17% (G:0.22% B:0.00%) 88.83% (G:48.60% B:5.25%)  

4.  5ply  24/18 8/7  eq: 1.187 (0.040) 
 Player: Opponent:  16.45% (G:0.34% B:0.01%) 83.55% (G:47.46% B:6.74%)  

5.  5ply  24/18 4/3  eq: 1.203 (0.056) 
 Player: Opponent:  15.77% (G:0.32% B:0.01%) 84.23% (G:47.74% B:6.65%)  



22: 12/6 8/6 


1.  5ply  12/6 8/6  eq: +1.272 
 Player: Opponent:  88.46% (G:47.74% B:5.12%) 11.54% (G:0.09% B:0.00%)  

2.  5ply  12/10 12/6  eq: +1.272 (0.000) 
 Player: Opponent:  88.60% (G:48.11% B:5.35%) 11.40% (G:0.38% B:0.01%)  

3.  5ply  12/10(2) 8/4  eq: +1.271 (0.001) 
 Player: Opponent:  88.97% (G:47.01% B:4.65%) 11.03% (G:0.19% B:0.00%)  

4.  5ply  12/10 8/2  eq: +1.262 (0.011) 
 Player: Opponent:  87.76% (G:49.03% B:5.54%) 12.24% (G:0.51% B:0.01%)  

5.  4ply  12/4  eq: +1.253 (0.019) 
 Player: Opponent:  87.89% (G:47.69% B:5.48%) 12.11% (G:0.52% B:0.02%)  



65: 24/18 8/3 


1.  XG Roller++  24/13*  eq: 1.111 
 Player: Opponent:  21.57% (G:0.76% B:0.01%) 78.43% (G:46.32% B:10.09%)  

2.  XG Roller++  24/18 8/3  eq: 1.127 (0.016) 
 Player: Opponent:  15.75% (G:0.10% B:0.00%) 84.25% (G:41.02% B:4.63%)  

3.  2ply  24/18 6/1  eq: 1.303 (0.192) 
 Player: Opponent:  9.85% (G:0.10% B:0.00%) 90.15% (G:46.65% B:5.69%)  

4.  1ply  8/2 6/1  eq: 1.402 (0.290) 
 Player: Opponent:  6.43% (G:0.09% B:0.00%) 93.57% (G:52.82% B:4.93%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
84.05% (G:40.43% B:4.54%) 
84.00% (G:40.61% B:4.58%) 
Opponent Winning Chances: 
15.95% (G:0.10% B:0.00%) 
16.00% (G:0.11% B:0.01%) 
Cubeless Equities 
+1.085 
+1.805 
Cubeful Equities 
No double:  +1.129  
Double/Take:  +1.577 (+0.448)  
Double/Pass:  +1.000 (0.129) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 22.4% 


31: 12/9 6/5 


1.  5ply  12/9 6/5  eq: +1.054 
 Player: Opponent:  83.27% (G:31.55% B:2.62%) 16.73% (G:0.46% B:0.00%)  

2.  5ply  12/8  eq: +1.020 (0.033) 
 Player: Opponent:  82.36% (G:30.99% B:2.60%) 17.64% (G:0.47% B:0.00%)  

3.  5ply  12/9 3/2  eq: +1.000 (0.053) 
 Player: Opponent:  81.33% (G:30.60% B:2.54%) 18.67% (G:0.51% B:0.00%)  

4.  3ply  12/9 4/3  eq: +0.961 (0.093) 
 Player: Opponent:  80.89% (G:29.23% B:2.47%) 19.11% (G:0.70% B:0.00%)  

5.  3ply  6/2  eq: +0.952 (0.101) 
 Player: Opponent:  79.45% (G:30.62% B:2.70%) 20.55% (G:0.84% B:0.00%)  



54: 18/9 


1.  5ply  18/9  eq: 1.174 
 Player: Opponent:  10.40% (G:0.00% B:0.00%) 89.60% (G:34.06% B:2.50%)  

2.  5ply  18/13 6/2  eq: 1.179 (0.004) 
 Player: Opponent:  10.54% (G:0.00% B:0.00%) 89.46% (G:34.91% B:2.57%)  

3.  5ply  18/14 6/1  eq: 1.215 (0.040) 
 Player: Opponent:  9.07% (G:0.00% B:0.00%) 90.93% (G:36.62% B:2.74%)  

4.  5ply  18/13 5/1  eq: 1.215 (0.040) 
 Player: Opponent:  8.95% (G:0.00% B:0.00%) 91.05% (G:36.45% B:2.70%)  

5.  3ply  6/2 6/1  eq: 1.304 (0.129) 
 Player: Opponent:  8.43% (G:0.02% B:0.00%) 91.57% (G:45.09% B:4.30%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
89.60% (G:34.06% B:2.50%) 
89.57% (G:34.10% B:2.50%) 
Opponent Winning Chances: 
10.40% (G:0.00% B:0.00%) 
10.43% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.116 
+1.923 
Cubeful Equities 
No double:  +1.174  
Double/Take:  +1.784 (+0.609)  
Double/Pass:  +1.000 (0.174) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 22.3% 


64: 9/5 6/Off 


1.  5ply  9/5 6/Off  eq: +1.171 
 Player: Opponent:  89.60% (G:35.72% B:2.57%) 10.40% (G:0.00% B:0.00%)  

2.  5ply  9/3 4/Off  eq: +1.129 (0.042) 
 Player: Opponent:  87.48% (G:34.36% B:2.41%) 12.52% (G:0.00% B:0.00%)  

3.  5ply  9/3 6/2  eq: +1.116 (0.055) 
 Player: Opponent:  88.23% (G:32.20% B:2.09%) 11.77% (G:0.00% B:0.00%)  



21: 9/6 


1.  5ply  9/6  eq: 1.175 
 Player: Opponent:  12.06% (G:0.00% B:0.00%) 87.94% (G:39.53% B:3.44%)  

2.  5ply  9/7 3/2  eq: 1.180 (0.006) 
 Player: Opponent:  12.17% (G:0.00% B:0.00%) 87.83% (G:40.39% B:3.52%)  

3.  5ply  9/8 4/2  eq: 1.184 (0.009) 
 Player: Opponent:  12.09% (G:0.00% B:0.00%) 87.91% (G:40.64% B:3.51%)  

4.  5ply  5/2  eq: 1.190 (0.016) 
 Player: Opponent:  11.91% (G:0.00% B:0.00%) 88.09% (G:40.90% B:3.55%)  

5.  4ply  9/7 6/5  eq: 1.215 (0.040) 
 Player: Opponent:  10.90% (G:0.00% B:0.00%) 89.10% (G:40.95% B:3.44%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
87.94% (G:39.53% B:3.44%) 
87.88% (G:39.64% B:3.46%) 
Opponent Winning Chances: 
12.06% (G:0.00% B:0.00%) 
12.12% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.142 
+1.934 
Cubeful Equities 
No double:  +1.175  
Double/Take:  +1.774 (+0.599)  
Double/Pass:  +1.000 (0.175) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 22.6% 


64: 6/2 6/Off 


1.  3ply  6/2 6/Off  eq: +1.238 
 Player: Opponent:  90.11% (G:40.82% B:3.25%) 9.89% (G:0.00% B:0.00%)  

2.  1ply  6/Off 4/Off  eq: +0.814 (0.424) 
 Player: Opponent:  71.85% (G:32.03% B:3.24%) 28.15% (G:0.00% B:0.00%)  



43: 6/3 6/2 


1.  XG Roller++  6/2 4/1  eq: 1.330 
 Player: Opponent:  8.93% (G:0.00% B:0.00%) 91.07% (G:50.64% B:4.69%)  

2.  XG Roller++  6/3 6/2  eq: 1.333 (0.003) 
 Player: Opponent:  8.77% (G:0.00% B:0.00%) 91.23% (G:50.35% B:4.66%)  

3.  5ply  6/2 5/2  eq: 1.357 (0.026) 
 Player: Opponent:  7.71% (G:0.00% B:0.00%) 92.29% (G:50.40% B:4.62%)  

4.  5ply  5/2 5/1  eq: 1.370 (0.040) 
 Player: Opponent:  6.92% (G:0.00% B:0.00%) 93.08% (G:50.25% B:4.56%)  

5.  4ply  6/3 5/1  eq: 1.376 (0.046) 
 Player: Opponent:  6.95% (G:0.00% B:0.00%) 93.05% (G:50.57% B:4.70%)  



32: 5/Off 


1.  XG Roller++  3/Off 2/Off  eq: +1.320 
 Player: Opponent:  91.87% (G:48.46% B:3.92%) 8.13% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off  eq: +1.312 (0.008) 
 Player: Opponent:  91.95% (G:48.00% B:3.59%) 8.05% (G:0.00% B:0.00%)  

3.  4ply  5/3 5/2  eq: +1.264 (0.056) 
 Player: Opponent:  91.93% (G:42.04% B:2.78%) 8.07% (G:0.00% B:0.00%)  

4.  3ply  4/2 3/Off  eq: +1.233 (0.087) 
 Player: Opponent:  89.64% (G:41.27% B:2.98%) 10.36% (G:0.00% B:0.00%)  

5.  3ply  5/2 4/2  eq: +1.180 (0.141) 
 Player: Opponent:  88.24% (G:37.95% B:2.40%) 11.76% (G:0.00% B:0.00%)  



63: 24/15 


1.  4ply  24/15  eq: 1.222 
 Player: Opponent:  9.90% (G:0.00% B:0.00%) 90.10% (G:41.00% B:2.89%)  

2.  4ply  24/18 6/3  eq: 1.309 (0.087) 
 Player: Opponent:  7.11% (G:0.00% B:0.00%) 92.89% (G:44.74% B:3.33%)  

3.  3ply  24/18 4/1  eq: 1.342 (0.120) 
 Player: Opponent:  6.42% (G:0.00% B:0.00%) 93.58% (G:46.82% B:3.63%)  

4.  3ply  24/18 5/2  eq: 1.348 (0.126) 
 Player: Opponent:  6.32% (G:0.00% B:0.00%) 93.68% (G:47.24% B:3.67%)  



52: 5/Off 2/Off 


1.  3ply  5/Off 2/Off  eq: +1.277 
 Player: Opponent:  91.89% (G:43.10% B:3.03%) 8.11% (G:0.00% B:0.00%)  

2.  3ply  5/Off 4/2  eq: +1.118 (0.159) 
 Player: Opponent:  87.66% (G:35.02% B:2.12%) 12.34% (G:0.00% B:0.00%)  

3.  2ply  5/3 5/Off  eq: +0.937 (0.340) 
 Player: Opponent:  80.91% (G:33.75% B:2.01%) 19.09% (G:0.00% B:0.00%)  



43: 15/8 


1.  3ply  15/8  eq: 1.272 
 Player: Opponent:  8.50% (G:0.00% B:0.00%) 91.50% (G:44.94% B:2.93%)  

2.  3ply  15/11 6/3  eq: 1.370 (0.098) 
 Player: Opponent:  5.71% (G:0.00% B:0.00%) 94.29% (G:49.20% B:3.19%)  

3.  3ply  15/12 6/2  eq: 1.382 (0.110) 
 Player: Opponent:  5.73% (G:0.00% B:0.00%) 94.27% (G:50.57% B:3.27%)  

4.  3ply  15/11 5/2  eq: 1.389 (0.117) 
 Player: Opponent:  5.74% (G:0.00% B:0.00%) 94.26% (G:50.93% B:3.77%)  

5.  3ply  15/11 4/1  eq: 1.390 (0.119) 
 Player: Opponent:  5.59% (G:0.00% B:0.00%) 94.41% (G:50.72% B:3.77%)  



52: 5/3 5/Off 


1.  3ply  5/3 5/Off  eq: +1.297 
 Player: Opponent:  92.41% (G:44.83% B:2.39%) 7.59% (G:0.00% B:0.00%)  

2.  2ply  5/Off 4/2  eq: +0.957 (0.340) 
 Player: Opponent:  81.18% (G:35.50% B:1.90%) 18.82% (G:0.00% B:0.00%)  

3.  1ply  5/Off 2/Off  eq: +0.425 (0.872) 
 Player: Opponent:  60.22% (G:23.40% B:2.29%) 39.78% (G:0.00% B:0.00%)  



32: 8/5 3/1 


1.  XG Roller++  8/6 4/1  eq: 1.403 
 Player: Opponent:  6.63% (G:0.00% B:0.00%) 93.37% (G:53.41% B:3.90%)  

2.  XG Roller++  8/5 3/1  eq: 1.418 (0.015) 
 Player: Opponent:  6.37% (G:0.00% B:0.00%) 93.63% (G:54.13% B:4.09%)  

3.  5ply  8/6 5/2  eq: 1.406 (0.002) 
 Player: Opponent:  6.43% (G:0.00% B:0.00%) 93.57% (G:53.59% B:4.15%)  

4.  5ply  8/3  eq: 1.422 (0.018) 
 Player: Opponent:  5.96% (G:0.00% B:0.00%) 94.04% (G:53.81% B:4.20%)  

5.  4ply  8/5 6/4  eq: 1.425 (0.022) 
 Player: Opponent:  4.72% (G:0.00% B:0.00%) 95.28% (G:51.88% B:3.69%)  



44: 4/Off(3) 3/Off 


1.  3ply  4/Off(3) 3/Off  eq: +1.633 
 Player: Opponent:  96.81% (G:69.01% B:7.99%) 3.19% (G:0.00% B:0.00%)  



65: 24/13 


1.  5ply  24/13  eq: 1.632 
 Player: Opponent:  3.60% (G:0.00% B:0.00%) 96.40% (G:71.17% B:4.38%)  

2.  5ply  24/18 6/1  eq: 1.657 (0.026) 
 Player: Opponent:  1.82% (G:0.00% B:0.00%) 98.18% (G:73.98% B:3.13%)  

3.  5ply  24/19 24/18  eq: 1.812 (0.180) 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:94.73% B:0.00%)  



52: 3/Off 2/Off 


1.  3ply  3/Off 2/Off  eq: +1.591 
 Player: Opponent:  95.83% (G:70.25% B:2.73%) 4.17% (G:0.00% B:0.00%)  

2.  1ply  3/1* 3/Off  eq: +1.137 (0.453) 
 Player: Opponent:  82.97% (G:46.73% B:1.46%) 17.03% (G:0.00% B:0.00%)  



62: 24/18 13/11 


1.  5ply  24/18 13/11  eq: 1.832 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:97.02% B:0.00%)  

2.  5ply  24/16  eq: 1.853 (0.021) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.52% B:0.00%)  

3.  5ply  24/18 5/3  eq: 1.853 (0.022) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.56% B:0.00%)  

4.  5ply  24/18 4/2  eq: 1.853 (0.022) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:99.56% B:0.00%)  

5.  5ply  13/5  eq: 1.958 (0.127) 
 Player: Opponent:  0.51% (G:0.00% B:0.00%) 99.49% (G:79.95% B:21.59%)  



Resigns a Gammon 2pts. 



