41: 24/23 13/9 


1.  Book^{1}  13/9 6/5  eq: +0.136 
 Player: Opponent:  50.02% (G:14.58% B:0.55%) 49.98% (G:17.49% B:3.24%)  Conf.: ± 0.005 (+0.131...+0.141)  [98.8%] 

2.  Book^{1}  24/23 13/9  eq: +0.128 (0.008) 
 Player: Opponent:  50.06% (G:14.42% B:0.53%) 49.94% (G:15.93% B:1.98%)  Conf.: ± 0.005 (+0.124...+0.133)  [1.2%] 

3.  4ply  13/9 8/7  eq: +0.088 (0.048) 
 Player: Opponent:  46.85% (G:12.96% B:0.65%) 53.15% (G:15.60% B:1.02%)  

4.  Book^{2}  13/8  eq: +0.086 (0.050) 
 Player: Opponent:  48.99% (G:13.59% B:0.57%) 51.01% (G:15.67% B:1.79%)  Conf.: ± 0.005 (+0.081...+0.091)  [0.0%] 

5.  Book^{3}  24/23 24/20  eq: +0.076 (0.060) 
 Player: Opponent:  49.41% (G:12.49% B:0.47%) 50.59% (G:16.73% B:1.59%)  Conf.: ± 0.007 (+0.070...+0.083)  [0.0%] 


^{1} Generated by Miran Tuhtan on 24/11/2012 using eXtreme Gammon 2.00 15552 Games rolled with Variance Reduction. Dice Seed: 1 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
^{3} Generated by GameSite 2000, Ltd on 26/02/2011 using eXtreme Gammon 2.00 10368 Games rolled with Variance Reduction. Dice Seed: 38613390 Moves: 2ply, cube decisions: 3ply Red



32: 24/21 13/11 


1.  XG Roller++  24/22 13/10  eq: 0.391 
 Player: Opponent:  46.49% (G:12.05% B:0.53%) 53.51% (G:16.12% B:0.68%)  

2.  XG Roller++  24/21 13/11  eq: 0.407 (0.016) 
 Player: Opponent:  46.84% (G:11.87% B:0.54%) 53.16% (G:16.39% B:0.69%)  

3.  4ply  13/11 13/10  eq: 0.427 (0.036) 
 Player: Opponent:  45.84% (G:12.15% B:0.54%) 54.16% (G:16.08% B:0.96%)  

4.  4ply  24/22 24/21  eq: 0.434 (0.043) 
 Player: Opponent:  45.47% (G:10.50% B:0.44%) 54.53% (G:16.45% B:0.56%)  

5.  3ply  13/8  eq: 0.438 (0.046) 
 Player: Opponent:  45.48% (G:11.25% B:0.43%) 54.52% (G:15.90% B:0.76%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.38% (G:16.17% B:0.68%) 
53.33% (G:16.18% B:0.67%) 
Opponent Winning Chances: 
46.62% (G:12.04% B:0.55%) 
46.67% (G:12.06% B:0.59%) 
Cubeless Equities 
+0.015 
+0.339 
Cubeful Equities 
No double:  +0.412  
Double/Take:  +0.339 (0.073)  
Double/Pass:  +1.000 (+0.588) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.9% 


31: 8/5 6/5 


1.  3ply  8/5 6/5  eq: +0.288 
 Player: Opponent:  51.84% (G:14.67% B:0.68%) 48.16% (G:12.68% B:0.57%)  

2.  3ply  13/9  eq: +0.197 (0.091) 
 Player: Opponent:  50.63% (G:12.61% B:0.51%) 49.37% (G:12.52% B:0.48%)  

3.  2ply  8/4*  eq: +0.074 (0.214) 
 Player: Opponent:  46.86% (G:12.76% B:0.66%) 53.14% (G:16.28% B:1.04%)  

4.  2ply  24/21 9/8  eq: +0.043 (0.245) 
 Player: Opponent:  47.29% (G:10.59% B:0.41%) 52.71% (G:13.94% B:0.48%)  

5.  2ply  23/20 9/8  eq: +0.029 (0.259) 
 Player: Opponent:  46.45% (G:11.32% B:0.47%) 53.55% (G:14.68% B:0.60%)  



31: 24/21 11/10 


1.  4ply  24/21 11/10  eq: 0.316 
 Player: Opponent:  45.33% (G:9.25% B:0.29%) 54.67% (G:10.80% B:0.38%)  

2.  4ply  8/5 6/5  eq: 0.418 (0.103) 
 Player: Opponent:  46.54% (G:12.51% B:0.56%) 53.46% (G:17.37% B:0.87%)  

3.  2ply  24/21 6/5  eq: 0.465 (0.149) 
 Player: Opponent:  43.14% (G:8.87% B:0.28%) 56.86% (G:15.16% B:0.55%)  

4.  1ply  24/21 8/7  eq: 0.631 (0.316) 
 Player: Opponent:  40.59% (G:8.65% B:0.37%) 59.41% (G:16.26% B:0.75%)  

5.  1ply  13/10 11/10  eq: 0.690 (0.374) 
 Player: Opponent:  41.88% (G:9.98% B:0.48%) 58.12% (G:19.63% B:0.77%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
54.67% (G:10.80% B:0.38%) 
54.78% (G:10.51% B:0.36%) 
Opponent Winning Chances: 
45.33% (G:9.25% B:0.29%) 
45.22% (G:9.65% B:0.31%) 
Cubeless Equities 
+0.036 
+0.197 
Cubeful Equities 
No double:  +0.316  
Double/Take:  +0.197 (0.119)  
Double/Pass:  +1.000 (+0.684) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.9% 


21: 24/22 9/8 


1.  XG Roller++  23/22 9/7  eq: +0.103 (+0.015) 
 Player: Opponent:  48.96% (G:9.78% B:0.34%) 51.04% (G:12.69% B:0.46%)  

2.  XG Roller++  23/21 9/8  eq: +0.095 (+0.007) 
 Player: Opponent:  48.99% (G:9.09% B:0.30%) 51.01% (G:11.31% B:0.35%)  

3.  XG Roller++  9/7 6/5  eq: +0.088 
 Player: Opponent:  48.60% (G:9.50% B:0.33%) 51.40% (G:12.29% B:0.43%)  

4.  XG Roller++  24/22 9/8  eq: +0.080 (0.008) 
 Player: Opponent:  48.67% (G:8.92% B:0.29%) 51.33% (G:11.39% B:0.34%)  

5.  XG Roller++  24/22 23/22  eq: +0.075 (0.013) 
 Player: Opponent:  48.17% (G:9.10% B:0.29%) 51.83% (G:10.00% B:0.31%)  



21: 13/10 


1.  3ply  13/10  eq: 0.139 
 Player: Opponent:  48.88% (G:9.75% B:0.28%) 51.12% (G:8.58% B:0.25%)  

2.  2ply  6/3*  eq: 0.408 (0.269) 
 Player: Opponent:  43.45% (G:9.10% B:0.25%) 56.55% (G:13.18% B:0.45%)  

3.  2ply  10/8 6/5  eq: 0.430 (0.290) 
 Player: Opponent:  41.96% (G:7.87% B:0.19%) 58.04% (G:11.83% B:0.35%)  

4.  2ply  13/11 10/9  eq: 0.504 (0.364) 
 Player: Opponent:  40.58% (G:7.78% B:0.24%) 59.42% (G:13.40% B:0.45%)  

5.  1ply  10/7  eq: 0.503 (0.364) 
 Player: Opponent:  40.61% (G:8.05% B:0.25%) 59.39% (G:12.95% B:0.46%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.02% (G:8.52% B:0.26%) 
51.15% (G:8.55% B:0.28%) 
Opponent Winning Chances: 
48.98% (G:9.67% B:0.27%) 
48.85% (G:10.36% B:0.31%) 
Cubeless Equities 
0.067 
0.046 
Cubeful Equities 
No double:  +0.135  
Double/Take:  0.046 (0.181)  
Double/Pass:  +1.000 (+0.865) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.7% 


31: 23/20 6/5 


1.  XG Roller++  23/22 6/3  eq: +0.052 (+0.010) 
 Player: Opponent:  48.31% (G:7.92% B:0.26%) 51.69% (G:10.01% B:0.28%)  

2.  XG Roller++  23/20 6/5  eq: +0.042 (+0.000) 
 Player: Opponent:  48.13% (G:8.37% B:0.30%) 51.87% (G:12.60% B:0.38%)  

3.  XG Roller++  22/18  eq: +0.042 
 Player: Opponent:  48.25% (G:8.12% B:0.27%) 51.75% (G:12.57% B:0.36%)  

4.  XG Roller++  13/10 6/5  eq: +0.032 (0.010) 
 Player: Opponent:  47.34% (G:9.16% B:0.32%) 52.66% (G:13.48% B:0.48%)  

5.  XG Roller++  23/20 22/21  eq: +0.011 (0.030) 
 Player: Opponent:  47.55% (G:7.75% B:0.27%) 52.45% (G:12.24% B:0.36%)  



65: 13/2 


1.  4ply  13/2  eq: 0.201 
 Player: Opponent:  46.96% (G:9.54% B:0.22%) 53.04% (G:8.71% B:0.30%)  

2.  4ply  8/2 6/1  eq: 0.278 (0.076) 
 Player: Opponent:  44.73% (G:8.47% B:0.14%) 55.27% (G:8.69% B:0.32%)  

3.  3ply  21/10  eq: 0.354 (0.153) 
 Player: Opponent:  46.91% (G:8.13% B:0.35%) 53.09% (G:14.08% B:0.28%)  

4.  2ply  13/7 8/3*  eq: 0.438 (0.237) 
 Player: Opponent:  42.39% (G:9.01% B:0.24%) 57.61% (G:13.04% B:0.47%)  

5.  2ply  21/16 21/15  eq: 0.479 (0.277) 
 Player: Opponent:  43.56% (G:6.70% B:0.21%) 56.44% (G:17.40% B:0.52%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.04% (G:8.71% B:0.30%) 
53.15% (G:8.97% B:0.31%) 
Opponent Winning Chances: 
46.96% (G:9.54% B:0.22%) 
46.85% (G:10.40% B:0.26%) 
Cubeless Equities 
0.022 
+0.064 
Cubeful Equities 
No double:  +0.201  
Double/Take:  +0.064 (0.137)  
Double/Pass:  +1.000 (+0.799) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.8% 


52: 22/20 13/8 


1.  XG Roller++  22/20 8/3  eq: +0.200 
 Player: Opponent:  52.22% (G:8.36% B:0.28%) 47.78% (G:6.27% B:0.17%)  

2.  XG Roller++  22/20 13/8  eq: +0.195 (0.006) 
 Player: Opponent:  52.40% (G:7.79% B:0.25%) 47.60% (G:5.80% B:0.15%)  

3.  XG Roller++  8/3 5/3  eq: +0.186 (0.014) 
 Player: Opponent:  52.00% (G:9.21% B:0.32%) 48.00% (G:12.46% B:0.31%)  

4.  3ply  22/20 6/1  eq: +0.120 (0.080) 
 Player: Opponent:  50.44% (G:7.99% B:0.21%) 49.56% (G:6.60% B:0.17%)  

5.  3ply  20/18 13/8  eq: +0.116 (0.084) 
 Player: Opponent:  50.88% (G:9.12% B:0.34%) 49.12% (G:13.83% B:0.28%)  



31: 6/2 


1.  XG Roller++  6/2  eq: 0.256 
 Player: Opponent:  45.58% (G:6.40% B:0.17%) 54.42% (G:8.23% B:0.25%)  

2.  XG Roller++  6/3 2/1  eq: 0.279 (0.024) 
 Player: Opponent:  45.16% (G:6.71% B:0.12%) 54.84% (G:8.89% B:0.29%)  

3.  XG Roller++  8/4  eq: 0.298 (0.042) 
 Player: Opponent:  45.09% (G:6.79% B:0.17%) 54.91% (G:9.38% B:0.33%)  

4.  2ply  8/7 6/3  eq: 0.428 (0.172) 
 Player: Opponent:  41.27% (G:6.43% B:0.17%) 58.73% (G:10.36% B:0.36%)  

5.  2ply  13/10 2/1  eq: 0.458 (0.202) 
 Player: Opponent:  39.43% (G:5.40% B:0.13%) 60.57% (G:8.98% B:0.26%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
54.51% (G:8.10% B:0.22%) 
54.35% (G:8.38% B:0.23%) 
Opponent Winning Chances: 
45.49% (G:5.72% B:0.13%) 
45.65% (G:6.14% B:0.16%) 
Cubeless Equities 
+0.068 
+0.097 
Cubeful Equities 
No double:  +0.254  
Double/Take:  +0.097 (0.156)  
Double/Pass:  +1.000 (+0.746) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.8% 


42: 8/2 


1.  XG Roller++  8/2  eq: +0.207 
 Player: Opponent:  52.75% (G:7.93% B:0.22%) 47.25% (G:6.10% B:0.17%)  

2.  XG Roller++  6/2 5/3  eq: +0.191 (0.016) 
 Player: Opponent:  52.24% (G:8.11% B:0.22%) 47.76% (G:6.37% B:0.21%)  

3.  XG Roller++  13/9 8/6  eq: +0.189 (0.017) 
 Player: Opponent:  51.19% (G:9.43% B:0.25%) 48.81% (G:7.00% B:0.21%)  

4.  XG Roller++  13/7  eq: +0.186 (0.020) 
 Player: Opponent:  51.74% (G:8.46% B:0.25%) 48.26% (G:6.44% B:0.18%)  

5.  3ply  13/9 5/3  eq: +0.161 (0.045) 
 Player: Opponent:  50.97% (G:9.22% B:0.28%) 49.03% (G:6.84% B:0.18%)  



32: 6/4 6/3 


1.  XG Roller++  6/4 6/3  eq: 0.256 
 Player: Opponent:  45.76% (G:7.09% B:0.21%) 54.24% (G:8.94% B:0.25%)  

2.  XG Roller++  8/3  eq: 0.290 (0.034) 
 Player: Opponent:  45.12% (G:7.03% B:0.18%) 54.88% (G:9.16% B:0.26%)  

3.  XG Roller++  6/1  eq: 0.313 (0.057) 
 Player: Opponent:  44.94% (G:7.26% B:0.15%) 55.06% (G:10.08% B:0.30%)  

4.  XG Roller++  13/11 13/10  eq: 0.340 (0.084) 
 Player: Opponent:  43.15% (G:8.03% B:0.26%) 56.85% (G:8.89% B:0.26%)  

5.  3ply  13/10 6/4  eq: 0.339 (0.083) 
 Player: Opponent:  43.45% (G:6.38% B:0.25%) 56.55% (G:8.71% B:0.25%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
54.38% (G:8.97% B:0.24%) 
54.21% (G:9.22% B:0.24%) 
Opponent Winning Chances: 
45.62% (G:6.42% B:0.18%) 
45.79% (G:6.92% B:0.21%) 
Cubeless Equities 
+0.062 
+0.120 
Cubeful Equities 
No double:  +0.265  
Double/Take:  +0.120 (0.145)  
Double/Pass:  +1.000 (+0.735) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.1% 


11: 8/7(3) 2/1 


1.  XG Roller++  8/7(2) 8/6  eq: +0.172 
 Player: Opponent:  51.60% (G:7.92% B:0.21%) 48.40% (G:6.34% B:0.19%)  

2.  XG Roller++  8/5 2/1  eq: +0.158 (0.014) 
 Player: Opponent:  51.09% (G:8.54% B:0.18%) 48.91% (G:8.02% B:0.28%)  

3.  XG Roller++  8/7(3) 6/5  eq: +0.154 (0.018) 
 Player: Opponent:  51.09% (G:7.80% B:0.22%) 48.91% (G:6.66% B:0.19%)  

4.  XG Roller++  8/7(3) 2/1  eq: +0.139 (0.033) 
 Player: Opponent:  50.80% (G:7.86% B:0.17%) 49.20% (G:7.01% B:0.21%)  

5.  3ply  8/5 6/5  eq: +0.096 (0.076) 
 Player: Opponent:  49.58% (G:8.33% B:0.24%) 50.42% (G:7.81% B:0.26%)  



31: 8/4 


1.  4ply  8/4  eq: 0.167 
 Player: Opponent:  48.23% (G:6.81% B:0.20%) 51.77% (G:8.23% B:0.16%)  

2.  4ply  13/10 4/3  eq: 0.235 (0.069) 
 Player: Opponent:  46.31% (G:6.59% B:0.18%) 53.69% (G:8.52% B:0.15%)  

3.  3ply  4/1 2/1  eq: 0.270 (0.103) 
 Player: Opponent:  45.87% (G:6.39% B:0.16%) 54.13% (G:9.45% B:0.25%)  

4.  3ply  10/7 8/7  eq: 0.342 (0.175) 
 Player: Opponent:  44.36% (G:7.64% B:0.25%) 55.64% (G:9.92% B:0.29%)  

5.  3ply  10/6  eq: 0.362 (0.195) 
 Player: Opponent:  43.53% (G:8.24% B:0.29%) 56.47% (G:10.01% B:0.27%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.77% (G:8.23% B:0.16%) 
51.75% (G:8.69% B:0.17%) 
Opponent Winning Chances: 
48.23% (G:6.81% B:0.20%) 
48.25% (G:7.49% B:0.24%) 
Cubeless Equities 
0.005 
0.017 
Cubeful Equities 
No double:  +0.167  
Double/Take:  0.017 (0.183)  
Double/Pass:  +1.000 (+0.833) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.3% 


62: 13/5 


1.  XG Roller++  7/1 5/3  eq: +0.191 
 Player: Opponent:  52.12% (G:8.26% B:0.15%) 47.88% (G:6.84% B:0.22%)  

2.  XG Roller++  13/11 7/1  eq: +0.181 (0.010) 
 Player: Opponent:  51.06% (G:9.72% B:0.21%) 48.94% (G:7.71% B:0.24%)  

3.  XG Roller++  13/7 5/3  eq: +0.169 (0.022) 
 Player: Opponent:  51.76% (G:7.84% B:0.16%) 48.24% (G:6.94% B:0.23%)  

4.  XG Roller++  13/5  eq: +0.153 (0.038) 
 Player: Opponent:  51.28% (G:7.71% B:0.14%) 48.72% (G:6.96% B:0.20%)  

5.  3ply  7/5 7/1  eq: +0.030 (0.161) 
 Player: Opponent:  46.47% (G:9.99% B:0.22%) 53.53% (G:8.67% B:0.26%)  



42: 10/8 10/6 


1.  4ply  10/8 10/6  eq: 0.185 
 Player: Opponent:  47.50% (G:6.38% B:0.18%) 52.50% (G:7.88% B:0.15%)  

2.  4ply  8/6 8/4  eq: 0.231 (0.047) 
 Player: Opponent:  46.98% (G:6.85% B:0.18%) 53.02% (G:9.46% B:0.18%)  

3.  3ply  10/4  eq: 0.340 (0.155) 
 Player: Opponent:  44.34% (G:7.23% B:0.21%) 55.66% (G:10.23% B:0.23%)  

4.  3ply  10/6 3/1  eq: 0.346 (0.162) 
 Player: Opponent:  44.04% (G:7.20% B:0.17%) 55.96% (G:10.03% B:0.22%)  

5.  3ply  13/11 13/9  eq: 0.348 (0.164) 
 Player: Opponent:  43.52% (G:9.81% B:0.43%) 56.48% (G:12.58% B:0.32%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
52.50% (G:7.88% B:0.15%) 
52.67% (G:8.12% B:0.13%) 
Opponent Winning Chances: 
47.50% (G:6.38% B:0.18%) 
47.33% (G:7.16% B:0.20%) 
Cubeless Equities 
+0.013 
+0.005 
Cubeful Equities 
No double:  +0.185  
Double/Take:  +0.005 (0.179)  
Double/Pass:  +1.000 (+0.815) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.3% 


32: 6/3 5/3 


1.  4ply  6/3 5/3  eq: +0.206 
 Player: Opponent:  52.65% (G:8.45% B:0.17%) 47.35% (G:6.40% B:0.15%)  

2.  4ply  5/3 5/2  eq: +0.151 (0.055) 
 Player: Opponent:  51.21% (G:8.17% B:0.12%) 48.79% (G:6.50% B:0.17%)  

3.  4ply  7/2  eq: +0.142 (0.064) 
 Player: Opponent:  50.94% (G:8.21% B:0.13%) 49.06% (G:6.93% B:0.17%)  

4.  3ply  6/1  eq: +0.092 (0.114) 
 Player: Opponent:  49.75% (G:7.79% B:0.14%) 50.25% (G:7.13% B:0.19%)  

5.  3ply  7/5 6/3  eq: +0.028 (0.178) 
 Player: Opponent:  47.79% (G:7.85% B:0.16%) 52.21% (G:8.17% B:0.29%)  



52: 8/3 6/4 


1.  XG Roller++  8/3 6/4  eq: 0.241 
 Player: Opponent:  46.08% (G:8.11% B:0.25%) 53.92% (G:8.71% B:0.16%)  

2.  XG Roller++  6/1 3/1  eq: 0.275 (0.035) 
 Player: Opponent:  45.38% (G:7.97% B:0.19%) 54.62% (G:9.35% B:0.16%)  

3.  4ply  8/1  eq: 0.282 (0.041) 
 Player: Opponent:  45.70% (G:6.26% B:0.12%) 54.30% (G:9.72% B:0.23%)  

4.  4ply  8/6 8/3  eq: 0.283 (0.042) 
 Player: Opponent:  45.39% (G:7.73% B:0.18%) 54.61% (G:9.58% B:0.17%)  

5.  3ply  8/3 4/2  eq: 0.333 (0.092) 
 Player: Opponent:  44.21% (G:6.18% B:0.14%) 55.79% (G:9.83% B:0.24%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.55% (G:8.81% B:0.14%) 
53.73% (G:8.95% B:0.14%) 
Opponent Winning Chances: 
46.45% (G:6.86% B:0.17%) 
46.27% (G:8.08% B:0.24%) 
Cubeless Equities 
+0.035 
+0.085 
Cubeful Equities 
No double:  +0.231  
Double/Take:  +0.085 (0.147)  
Double/Pass:  +1.000 (+0.769) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.8% 


43: 7/3 5/2 


1.  3ply  7/3 5/2  eq: +0.098 
 Player: Opponent:  49.28% (G:9.27% B:0.16%) 50.72% (G:8.98% B:0.28%)  

2.  3ply  13/6  eq: +0.002 (0.097) 
 Player: Opponent:  46.78% (G:7.53% B:0.25%) 53.22% (G:6.34% B:0.16%)  

3.  3ply  20/13  eq: 0.000 (0.099) 
 Player: Opponent:  46.85% (G:11.01% B:0.32%) 53.15% (G:16.92% B:0.25%)  

4.  2ply  6/3 6/2  eq: 0.098 (0.197) 
 Player: Opponent:  44.45% (G:6.80% B:0.15%) 55.55% (G:9.05% B:0.29%)  

5.  2ply  5/2 5/1  eq: 0.168 (0.266) 
 Player: Opponent:  41.86% (G:7.86% B:0.12%) 58.14% (G:10.97% B:0.29%)  



63: 21/15 4/1 


1.  XG Roller++  13/4  eq: 0.148 
 Player: Opponent:  47.88% (G:12.67% B:0.58%) 52.12% (G:8.88% B:0.21%)  

2.  XG Roller++  21/15 4/1  eq: 0.519 (0.372) 
 Player: Opponent:  46.12% (G:12.60% B:0.52%) 53.88% (G:20.36% B:0.43%)  

3.  3ply  13/10 13/7  eq: 0.260 (0.113) 
 Player: Opponent:  45.52% (G:9.00% B:0.36%) 54.48% (G:10.96% B:0.25%)  

4.  3ply  13/7 4/1  eq: 0.387 (0.240) 
 Player: Opponent:  44.79% (G:15.13% B:0.80%) 55.21% (G:15.23% B:0.47%)  

5.  2ply  8/2 4/1  eq: 0.419 (0.272) 
 Player: Opponent:  43.28% (G:10.14% B:0.30%) 56.72% (G:14.09% B:0.28%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.94% (G:20.68% B:0.45%) 
53.48% (G:21.88% B:0.47%) 
Opponent Winning Chances: 
46.06% (G:12.27% B:0.51%) 
46.52% (G:14.32% B:0.72%) 
Cubeless Equities 
+0.062 
+0.541 
Cubeful Equities 
No double:  +0.339 (0.202)  
Double/Take:  +0.541  
Double/Pass:  +1.000 (+0.459) 

Best Cube action: Double / Take 


43: 5/2 5/1 


1.  XG Roller++  13/10* 10/6  eq: +0.226 
 Player: Opponent:  51.59% (G:20.45% B:0.57%) 48.41% (G:15.97% B:0.51%)  

2.  XG Roller++  5/2 5/1  eq: +0.012 (0.213) 
 Player: Opponent:  46.16% (G:9.24% B:0.11%) 53.84% (G:10.29% B:0.32%)  

3.  2ply  13/9 13/10*  eq: +0.032 (0.193) 
 Player: Opponent:  46.69% (G:19.36% B:0.70%) 53.31% (G:23.96% B:1.13%)  

4.  1ply  20/13  eq: 0.143 (0.369) 
 Player: Opponent:  41.03% (G:13.31% B:0.28%) 58.97% (G:22.09% B:0.20%)  

5.  1ply  13/6  eq: 0.216 (0.441) 
 Player: Opponent:  38.93% (G:9.70% B:0.29%) 61.07% (G:9.90% B:0.40%)  



51: 21/15 


1.  3ply  21/15  eq: +0.184 
 Player: Opponent:  57.46% (G:5.91% B:0.11%) 42.54% (G:4.56% B:0.02%)  

2.  1ply  15/9  eq: 0.307 (0.491) 
 Player: Opponent:  48.51% (G:11.94% B:0.23%) 51.49% (G:16.84% B:0.20%)  

3.  1ply  15/10 2/1  eq: 0.362 (0.546) 
 Player: Opponent:  47.52% (G:11.85% B:0.20%) 52.48% (G:17.94% B:0.26%)  

4.  1ply  21/20 15/10  eq: 0.440 (0.624) 
 Player: Opponent:  46.53% (G:11.61% B:0.23%) 53.47% (G:19.27% B:0.23%)  

5.  1ply  21/16 15/14  eq: 0.700 (0.883) 
 Player: Opponent:  42.36% (G:8.27% B:0.17%) 57.64% (G:21.02% B:0.28%)  



41: 7/2 


1.  XG Roller++  7/6 7/3  eq: 0.260 
 Player: Opponent:  40.14% (G:4.24% B:0.05%) 59.86% (G:7.48% B:0.16%)  

2.  XG Roller++  7/2  eq: 0.285 (0.026) 
 Player: Opponent:  39.77% (G:4.14% B:0.05%) 60.23% (G:8.07% B:0.19%)  

3.  3ply  13/9 7/6  eq: 0.393 (0.133) 
 Player: Opponent:  35.47% (G:6.63% B:0.12%) 64.53% (G:7.98% B:0.25%)  

4.  3ply  13/9 3/2  eq: 0.411 (0.152) 
 Player: Opponent:  34.93% (G:6.21% B:0.11%) 65.07% (G:8.03% B:0.20%)  

5.  3ply  13/8  eq: 0.412 (0.152) 
 Player: Opponent:  34.86% (G:6.33% B:0.12%) 65.14% (G:7.84% B:0.20%)  



31: 4/1 3/2 


1.  XG Roller++  4/3 4/1  eq: +0.169 
 Player: Opponent:  56.01% (G:7.73% B:0.14%) 43.99% (G:4.47% B:0.05%)  

2.  XG Roller++  4/1 3/2  eq: +0.056 (0.113) 
 Player: Opponent:  53.28% (G:6.36% B:0.14%) 46.72% (G:6.40% B:0.14%)  

3.  2ply  8/4  eq: +0.021 (0.148) 
 Player: Opponent:  53.72% (G:9.53% B:0.31%) 46.28% (G:8.02% B:0.07%)  

4.  2ply  4/1 2/1  eq: +0.018 (0.151) 
 Player: Opponent:  52.95% (G:5.53% B:0.09%) 47.05% (G:6.01% B:0.06%)  

5.  1ply  6/3 2/1  eq: 0.163 (0.332) 
 Player: Opponent:  49.56% (G:6.27% B:0.11%) 50.44% (G:10.10% B:0.04%)  



41: 7/2 


1.  XG Roller++  7/2  eq: 0.207 (+0.014) 
 Player: Opponent:  42.08% (G:4.40% B:0.05%) 57.92% (G:6.96% B:0.11%)  

2.  XG Roller++  7/3 2/1  eq: 0.211 (+0.010) 
 Player: Opponent:  42.01% (G:4.43% B:0.05%) 57.99% (G:7.02% B:0.11%)  

3.  XG Roller++  13/9 7/6  eq: 0.221 
 Player: Opponent:  40.84% (G:8.31% B:0.29%) 59.16% (G:6.81% B:0.16%)  

4.  XG Roller++  13/8  eq: 0.244 (0.023) 
 Player: Opponent:  40.24% (G:8.05% B:0.28%) 59.76% (G:7.28% B:0.22%)  

5.  XG Roller++  20/16 7/6  eq: 0.282 (0.061) 
 Player: Opponent:  40.41% (G:7.41% B:0.11%) 59.59% (G:15.58% B:0.22%)  



32: 6/4 6/3 


1.  3ply  6/4 6/3  eq: +0.255 
 Player: Opponent:  59.17% (G:7.01% B:0.09%) 40.83% (G:3.75% B:0.02%)  

2.  2ply  8/3  eq: 0.056 (0.311) 
 Player: Opponent:  51.39% (G:7.36% B:0.15%) 48.61% (G:7.72% B:0.07%)  

3.  2ply  4/1 3/1  eq: 0.066 (0.321) 
 Player: Opponent:  50.06% (G:3.85% B:0.05%) 49.94% (G:5.39% B:0.05%)  

4.  1ply  13/8  eq: 0.091 (0.345) 
 Player: Opponent:  50.25% (G:6.41% B:0.10%) 49.75% (G:7.58% B:0.05%)  

5.  1ply  8/6 4/1  eq: 0.190 (0.445) 
 Player: Opponent:  47.72% (G:5.54% B:0.06%) 52.28% (G:8.46% B:0.04%)  



43: 6/3 6/2 


1.  XG Roller++  20/13  eq: 0.179 
 Player: Opponent:  42.04% (G:4.85% B:0.05%) 57.96% (G:7.10% B:0.06%)  

2.  XG Roller++  6/3 6/2  eq: 0.453 (0.274) 
 Player: Opponent:  35.60% (G:1.91% B:0.01%) 64.40% (G:8.55% B:0.12%)  

3.  2ply  13/6  eq: 0.503 (0.324) 
 Player: Opponent:  32.97% (G:3.35% B:0.01%) 67.03% (G:6.72% B:0.08%)  

4.  1ply  13/9 6/3  eq: 0.733 (0.554) 
 Player: Opponent:  26.82% (G:2.89% B:0.05%) 73.18% (G:12.64% B:0.42%)  

5.  1ply  20/16 6/3  eq: 0.986 (0.807) 
 Player: Opponent:  22.74% (G:4.02% B:0.06%) 77.26% (G:32.17% B:1.11%)  



31: 8/4 


1.  XG Roller++  13/9  eq: +0.245 
 Player: Opponent:  58.78% (G:13.10% B:0.30%) 41.22% (G:5.99% B:0.06%)  

2.  XG Roller++  13/10 2/1  eq: +0.216 (0.029) 
 Player: Opponent:  58.17% (G:12.64% B:0.27%) 41.83% (G:6.33% B:0.07%)  

3.  XG Roller++  8/4  eq: +0.197 (0.048) 
 Player: Opponent:  56.38% (G:8.07% B:0.15%) 43.62% (G:3.27% B:0.03%)  

4.  4ply  4/1 2/1  eq: +0.166 (0.079) 
 Player: Opponent:  55.76% (G:5.83% B:0.09%) 44.24% (G:3.33% B:0.03%)  

5.  3ply  4/3 4/1  eq: +0.171 (0.074) 
 Player: Opponent:  56.38% (G:5.37% B:0.06%) 43.62% (G:3.34% B:0.01%)  



62: 13/11 13/7 


1.  3ply  13/11 13/7  eq: 0.456 
 Player: Opponent:  35.27% (G:2.28% B:0.02%) 64.73% (G:6.54% B:0.13%)  

2.  3ply  13/7 3/1  eq: 0.614 (0.158) 
 Player: Opponent:  30.46% (G:2.19% B:0.02%) 69.54% (G:9.21% B:0.17%)  

3.  3ply  13/5  eq: 0.653 (0.197) 
 Player: Opponent:  29.45% (G:2.13% B:0.03%) 70.55% (G:9.39% B:0.20%)  

4.  2ply  20/14 3/1  eq: 0.824 (0.368) 
 Player: Opponent:  25.56% (G:3.36% B:0.03%) 74.44% (G:24.35% B:0.28%)  

5.  1ply  20/18 20/14  eq: 1.037 (0.581) 
 Player: Opponent:  19.51% (G:2.01% B:0.05%) 80.49% (G:26.37% B:0.86%)  



21: 15/13 15/14* 


1.  XG Roller++  15/13 15/14*  eq: +0.713 
 Player: Opponent:  72.41% (G:10.42% B:0.22%) 27.59% (G:1.98% B:0.02%)  

2.  XG Roller++  15/14* 14/12  eq: +0.691 (0.022) 
 Player: Opponent:  72.51% (G:11.96% B:0.27%) 27.49% (G:3.01% B:0.04%)  

3.  4ply  15/14* 4/2  eq: +0.670 (0.043) 
 Player: Opponent:  71.10% (G:10.93% B:0.20%) 28.90% (G:3.32% B:0.05%)  

4.  3ply  15/14* 13/11  eq: +0.635 (0.079) 
 Player: Opponent:  71.82% (G:13.52% B:0.24%) 28.18% (G:6.25% B:0.26%)  

5.  3ply  15/14* 8/6  eq: +0.633 (0.081) 
 Player: Opponent:  71.59% (G:13.91% B:0.21%) 28.41% (G:4.10% B:0.05%)  



53: Bar/17* 


1.  3ply  Bar/17*  eq: 0.319 
 Player: Opponent:  38.18% (G:6.46% B:0.05%) 61.82% (G:13.81% B:0.27%)  

2.  2ply  Bar/20 7/4  eq: 0.740 (0.421) 
 Player: Opponent:  26.00% (G:1.48% B:0.00%) 74.00% (G:7.08% B:0.09%)  



62: Bar/19 14/12 


1.  3ply  Bar/19 14/12  eq: +0.206 
 Player: Opponent:  58.32% (G:11.85% B:0.22%) 41.68% (G:6.05% B:0.05%)  

2.  3ply  Bar/19 4/2  eq: +0.082 (0.124) 
 Player: Opponent:  55.23% (G:10.88% B:0.19%) 44.77% (G:7.31% B:0.06%)  

3.  2ply  Bar/17  eq: 0.003 (0.209) 
 Player: Opponent:  52.57% (G:8.81% B:0.17%) 47.43% (G:7.92% B:0.06%)  

4.  1ply  Bar/19 13/11  eq: 0.137 (0.343) 
 Player: Opponent:  50.81% (G:11.16% B:0.28%) 49.19% (G:11.88% B:0.18%)  

5.  1ply  Bar/19 3/1  eq: 0.214 (0.420) 
 Player: Opponent:  47.14% (G:7.27% B:0.14%) 52.86% (G:9.18% B:0.09%)  



32: 20/17 7/5 


1.  3ply  20/17 7/5  eq: 0.404 
 Player: Opponent:  37.34% (G:3.33% B:0.04%) 62.66% (G:10.20% B:0.16%)  

2.  2ply  20/17 3/1  eq: 0.571 (0.167) 
 Player: Opponent:  32.60% (G:3.56% B:0.02%) 67.40% (G:17.86% B:0.21%)  

3.  2ply  17/14 7/5  eq: 0.630 (0.226) 
 Player: Opponent:  29.81% (G:3.25% B:0.03%) 70.19% (G:11.94% B:0.16%)  

4.  2ply  17/15 7/4  eq: 0.631 (0.226) 
 Player: Opponent:  29.83% (G:3.18% B:0.02%) 70.17% (G:11.83% B:0.14%)  

5.  1ply  7/4 3/1  eq: 0.694 (0.290) 
 Player: Opponent:  28.23% (G:3.16% B:0.04%) 71.77% (G:14.57% B:0.34%)  



41: 19/15 13/12 


1.  4ply  19/15 13/12  eq: +0.270 
 Player: Opponent:  57.91% (G:7.09% B:0.14%) 42.09% (G:2.24% B:0.02%)  

2.  4ply  12/7  eq: +0.218 (0.052) 
 Player: Opponent:  57.06% (G:7.41% B:0.11%) 42.94% (G:3.02% B:0.03%)  

3.  2ply  19/15 2/1  eq: +0.090 (0.180) 
 Player: Opponent:  53.80% (G:8.05% B:0.16%) 46.20% (G:4.87% B:0.04%)  

4.  2ply  19/15 4/3  eq: +0.071 (0.198) 
 Player: Opponent:  53.25% (G:8.08% B:0.17%) 46.75% (G:5.01% B:0.04%)  

5.  2ply  13/9 2/1  eq: +0.011 (0.259) 
 Player: Opponent:  53.12% (G:11.12% B:0.24%) 46.88% (G:8.75% B:0.13%)  



65: 20/9 


1.  3ply  20/9  eq: +0.074 
 Player: Opponent:  52.80% (G:1.73% B:0.01%) 47.20% (G:2.23% B:0.05%)  

2.  1ply  17/6  eq: 0.605 (0.680) 
 Player: Opponent:  30.94% (G:5.29% B:0.07%) 69.06% (G:20.61% B:1.01%)  

3.  1ply  20/15 17/11  eq: 1.096 (1.170) 
 Player: Opponent:  19.19% (G:2.24% B:0.06%) 80.81% (G:34.15% B:2.00%)  



42: 12/6 


1.  XG Roller++  15/9  eq: 0.085 (+0.033) 
 Player: Opponent:  46.22% (G:3.43% B:0.11%) 53.78% (G:2.23% B:0.02%)  

2.  XG Roller++  12/6  eq: 0.118 (+0.000) 
 Player: Opponent:  45.40% (G:8.19% B:0.50%) 54.60% (G:6.23% B:0.06%)  

3.  XG Roller++  15/11 13/11  eq: 0.118 
 Player: Opponent:  44.94% (G:4.12% B:0.14%) 55.06% (G:2.01% B:0.01%)  

4.  XG Roller++  15/11 4/2  eq: 0.123 (0.005) 
 Player: Opponent:  45.29% (G:3.20% B:0.07%) 54.71% (G:2.72% B:0.02%)  

5.  3ply  13/7  eq: 0.228 (0.110) 
 Player: Opponent:  42.49% (G:3.45% B:0.08%) 57.51% (G:3.93% B:0.03%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
54.16% (G:6.35% B:0.06%) 
54.22% (G:6.11% B:0.06%) 
Opponent Winning Chances: 
45.84% (G:8.13% B:0.49%) 
45.78% (G:7.90% B:0.41%) 
Cubeless Equities 
+0.000 
+0.005 
Cubeful Equities 
No double:  +0.107  
Double/Take:  +0.005 (0.102)  
Double/Pass:  +1.000 (+0.893) 

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


42: 9/5 3/1 


1.  XG Roller++  9/5 3/1  eq: +0.095 (+0.010) 
 Player: Opponent:  53.22% (G:1.59% B:0.01%) 46.78% (G:2.14% B:0.04%)  

2.  XG Roller++  17/13* 5/3  eq: +0.085 
 Player: Opponent:  51.52% (G:10.87% B:0.17%) 48.48% (G:14.69% B:0.70%)  

3.  2ply  9/7 5/1  eq: 0.055 (0.139) 
 Player: Opponent:  48.62% (G:1.09% B:0.00%) 51.38% (G:3.25% B:0.04%)  

4.  2ply  5/1 3/1  eq: 0.076 (0.160) 
 Player: Opponent:  47.91% (G:1.15% B:0.00%) 52.09% (G:3.47% B:0.04%)  

5.  2ply  17/13* 13/11  eq: 0.082 (0.167) 
 Player: Opponent:  47.32% (G:9.46% B:0.10%) 52.68% (G:20.47% B:1.10%)  



63: 12/6 4/1 


1.  XG Roller++  15/9 12/9  eq: 0.076 (+0.017) 
 Player: Opponent:  46.77% (G:1.18% B:0.02%) 53.23% (G:1.22% B:0.01%)  

2.  XG Roller++  12/6 4/1  eq: 0.094 
 Player: Opponent:  46.13% (G:2.71% B:0.05%) 53.87% (G:0.98% B:0.00%)  

3.  XG Roller++  15/6  eq: 0.099 (0.005) 
 Player: Opponent:  47.23% (G:2.79% B:0.05%) 52.77% (G:1.49% B:0.01%)  

4.  2ply  12/3  eq: 0.297 (0.203) 
 Player: Opponent:  39.85% (G:1.71% B:0.02%) 60.15% (G:1.82% B:0.01%)  

5.  1ply  15/12 13/7  eq: 0.315 (0.221) 
 Player: Opponent:  40.69% (G:2.46% B:0.02%) 59.31% (G:3.27% B:0.01%)  



61: 17/10* 


1.  3ply  17/10*  eq: +0.513 
 Player: Opponent:  65.82% (G:2.93% B:0.01%) 34.18% (G:3.35% B:0.05%)  

2.  1ply  17/11 2/1  eq: 0.582 (1.095) 
 Player: Opponent:  31.95% (G:0.97% B:0.01%) 68.05% (G:7.60% B:0.11%)  

3.  1ply  17/11 3/2  eq: 0.596 (1.110) 
 Player: Opponent:  31.56% (G:0.86% B:0.01%) 68.44% (G:7.77% B:0.11%)  

4.  1ply  17/11 5/4  eq: 0.737 (1.250) 
 Player: Opponent:  27.93% (G:1.11% B:0.01%) 72.07% (G:14.47% B:0.36%)  

5.  1ply  17/16 17/11  eq: 0.762 (1.275) 
 Player: Opponent:  27.43% (G:0.84% B:0.01%) 72.57% (G:9.97% B:0.16%)  



41: Bar/21 2/1 


1.  3ply  Bar/21 2/1  eq: 0.456 
 Player: Opponent:  34.94% (G:2.24% B:0.04%) 65.06% (G:2.34% B:0.01%)  

2.  2ply  Bar/21 6/5  eq: 0.821 (0.365) 
 Player: Opponent:  26.91% (G:1.76% B:0.02%) 73.09% (G:4.12% B:0.02%)  

3.  2ply  Bar/21 3/2  eq: 0.840 (0.384) 
 Player: Opponent:  26.14% (G:1.20% B:0.01%) 73.86% (G:3.64% B:0.02%)  

4.  2ply  Bar/21 4/3  eq: 0.862 (0.406) 
 Player: Opponent:  25.82% (G:1.20% B:0.01%) 74.18% (G:3.84% B:0.02%)  

5.  1ply  Bar/21 13/12  eq: 1.000 (0.544) 
 Player: Opponent:  21.62% (G:1.77% B:0.06%) 78.38% (G:17.76% B:0.13%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
65.91% (G:2.36% B:0.01%) 
66.28% (G:2.48% B:0.01%) 
Opponent Winning Chances: 
34.09% (G:2.09% B:0.03%) 
33.72% (G:2.41% B:0.05%) 
Cubeless Equities 
+0.304 
+0.442 
Cubeful Equities 
No double:  +0.483  
Double/Take:  +0.442 (0.041)  
Double/Pass:  +1.000 (+0.517) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.8% 


55: 10/5 


1.  3ply  10/5  eq: +0.300 
 Player: Opponent:  59.95% (G:2.09% B:0.01%) 40.05% (G:0.70% B:0.01%)  



62: 21/19 13/7 


1.  XG Roller++  21/19 13/7  eq: 0.997 
 Player: Opponent:  23.58% (G:0.23% B:0.00%) 76.42% (G:4.51% B:0.03%)  

2.  XG Roller++  13/11 13/7  eq: 1.000 (0.003) 
 Player: Opponent:  19.81% (G:0.25% B:0.00%) 80.19% (G:3.65% B:0.02%)  

3.  XG Roller++  13/5  eq: 1.000 (0.003) 
 Player: Opponent:  19.49% (G:0.23% B:0.00%) 80.51% (G:4.91% B:0.04%)  

4.  XG Roller++  21/15 6/4  eq: 1.000 (0.003) 
 Player: Opponent:  15.41% (G:0.09% B:0.00%) 84.59% (G:2.06% B:0.01%)  

5.  XG Roller++  21/15 4/2  eq: 1.000 (0.003) 
 Player: Opponent:  14.53% (G:0.09% B:0.00%) 85.47% (G:1.92% B:0.01%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
76.24% (G:4.81% B:0.04%) 
76.74% (G:4.61% B:0.04%) 
Opponent Winning Chances: 
23.76% (G:0.23% B:0.00%) 
23.26% (G:0.20% B:0.00%) 
Cubeless Equities 
+0.566 
+1.010 
Cubeful Equities 
No double:  +0.605 (0.395)  
Double/Take:  +1.010 (+0.010)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



