41: 24/23 13/9 


1.  Book^{1}  24/23 13/9  eq: +0.000 
 Player: Opponent:  49.74% (G:13.62% B:0.56%) 50.26% (G:13.22% B:0.55%)  

2.  Book^{1}  13/9 6/5  eq: 0.038 (0.039) 
 Player: Opponent:  49.22% (G:13.51% B:0.56%) 50.78% (G:14.34% B:0.90%)  

3.  Book^{1}  24/23 24/20  eq: 0.043 (0.043) 
 Player: Opponent:  48.83% (G:12.25% B:0.55%) 51.17% (G:13.13% B:0.48%)  

4.  Book^{1}  13/8  eq: 0.051 (0.051) 
 Player: Opponent:  48.77% (G:13.21% B:0.61%) 51.23% (G:14.09% B:0.62%)  

5.  Book^{1}  24/20 6/5  eq: 0.064 (0.064) 
 Player: Opponent:  48.70% (G:12.26% B:0.48%) 51.30% (G:14.03% B:0.65%)  


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



44: 24/16* 6/2*(2) 


1.  4ply  24/16* 6/2*(2)  eq: +0.501 
 Player: Opponent:  60.69% (G:20.96% B:1.31%) 39.31% (G:9.12% B:0.34%)  

2.  4ply  24/16* 13/9(2)  eq: +0.429 (0.072) 
 Player: Opponent:  60.45% (G:17.48% B:0.94%) 39.55% (G:9.20% B:0.34%)  

3.  3ply  8/4(2) 6/2*(2)  eq: +0.387 (0.114) 
 Player: Opponent:  57.35% (G:22.26% B:1.34%) 42.65% (G:10.54% B:0.59%)  

4.  3ply  24/16*(2)  eq: +0.382 (0.119) 
 Player: Opponent:  60.64% (G:13.85% B:0.60%) 39.36% (G:8.91% B:0.22%)  

5.  3ply  24/20(2) 13/9(2)  eq: +0.370 (0.131) 
 Player: Opponent:  59.19% (G:14.10% B:0.48%) 40.81% (G:6.35% B:0.18%)  



31: Bar/24 Bar/22 


1.  3ply  Bar/24 Bar/22  eq: 0.419 
 Player: Opponent:  40.27% (G:9.32% B:0.32%) 59.73% (G:18.46% B:1.23%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
59.66% (G:18.33% B:1.25%) 
59.57% (G:18.47% B:1.26%) 
Opponent Winning Chances: 
40.34% (G:9.23% B:0.34%) 
40.43% (G:9.23% B:0.34%) 
Cubeless Equities 
+0.296 
+0.600 
Cubeful Equities 
No double:  +0.416  
Double/Take:  +0.295 (0.120)  
Double/Pass:  +1.000 (+0.584) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.6% 


42: 8/4 6/4 


1.  3ply  8/4 6/4  eq: +0.396 
 Player: Opponent:  59.18% (G:18.92% B:1.23%) 40.82% (G:9.52% B:0.40%)  

2.  3ply  16/10  eq: +0.280 (0.116) 
 Player: Opponent:  56.58% (G:16.69% B:1.02%) 43.42% (G:10.27% B:0.40%)  

3.  2ply  24/20 13/11  eq: +0.225 (0.171) 
 Player: Opponent:  55.18% (G:17.10% B:1.17%) 44.82% (G:11.83% B:0.53%)  

4.  2ply  24/20 16/14  eq: +0.182 (0.214) 
 Player: Opponent:  54.07% (G:16.36% B:1.10%) 45.93% (G:11.91% B:0.42%)  

5.  2ply  24/20 8/6  eq: +0.178 (0.218) 
 Player: Opponent:  54.05% (G:16.42% B:1.04%) 45.95% (G:12.18% B:0.48%)  



44: 13/9*(2) 9/5(2) 


1.  XG Roller++  24/20(2) 13/9*(2)  eq: +0.056 
 Player: Opponent:  50.60% (G:12.82% B:0.42%) 49.40% (G:10.31% B:0.35%)  

2.  XG Roller++  13/9*(2) 9/5(2)  eq: +0.005 (0.051) 
 Player: Opponent:  49.73% (G:16.31% B:0.66%) 50.27% (G:15.07% B:0.97%)  

3.  2ply  13/9*(2) 6/2(2)  eq: 0.139 (0.195) 
 Player: Opponent:  46.72% (G:14.27% B:0.73%) 53.28% (G:17.24% B:1.24%)  

4.  2ply  24/20(2) 22/18 13/9*  eq: 0.145 (0.201) 
 Player: Opponent:  46.43% (G:10.71% B:0.44%) 53.57% (G:13.85% B:0.49%)  

5.  2ply  13/9*(2) 8/4(2)  eq: 0.186 (0.242) 
 Player: Opponent:  45.69% (G:14.51% B:0.67%) 54.31% (G:18.53% B:1.43%)  



43: Bar/21 24/21 


1.  3ply  Bar/21 24/21  eq: +0.182 
 Player: Opponent:  54.10% (G:14.72% B:0.73%) 45.90% (G:10.02% B:0.37%)  

2.  2ply  Bar/18  eq: 0.009 (0.191) 
 Player: Opponent:  50.33% (G:14.43% B:0.90%) 49.67% (G:16.32% B:0.60%)  

3.  2ply  Bar/21 13/10  eq: 0.066 (0.248) 
 Player: Opponent:  48.45% (G:15.60% B:1.08%) 51.55% (G:17.35% B:0.91%)  

4.  1ply  Bar/22 13/9  eq: 0.099 (0.282) 
 Player: Opponent:  47.79% (G:15.85% B:1.15%) 52.21% (G:18.65% B:1.13%)  

5.  1ply  Bar/22 8/4  eq: 0.348 (0.530) 
 Player: Opponent:  42.04% (G:13.38% B:0.88%) 57.96% (G:22.04% B:1.41%)  



41: 22/18 6/5 


1.  XG Roller++  24/20 6/5  eq: 0.222 
 Player: Opponent:  45.65% (G:10.27% B:0.38%) 54.35% (G:16.49% B:0.80%)  

2.  XG Roller++  22/18 6/5  eq: 0.415 (0.193) 
 Player: Opponent:  41.04% (G:9.32% B:0.34%) 58.96% (G:18.17% B:1.13%)  

3.  3ply  6/5 6/2  eq: 0.335 (0.113) 
 Player: Opponent:  42.23% (G:9.95% B:0.32%) 57.77% (G:17.01% B:1.13%)  

4.  3ply  8/3  eq: 0.357 (0.135) 
 Player: Opponent:  41.84% (G:9.91% B:0.31%) 58.16% (G:17.62% B:1.20%)  

5.  3ply  24/20 8/7  eq: 0.358 (0.136) 
 Player: Opponent:  42.60% (G:10.46% B:0.36%) 57.40% (G:20.36% B:1.39%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.87% (G:18.15% B:1.19%) 
58.88% (G:18.15% B:1.19%) 
Opponent Winning Chances: 
41.13% (G:9.08% B:0.34%) 
41.12% (G:9.08% B:0.34%) 
Cubeless Equities 
+0.279 
+0.567 
Cubeful Equities 
No double:  +0.403  
Double/Take:  +0.258 (0.145)  
Double/Pass:  +1.000 (+0.597) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.3% 


61: 13/7* 8/7 


1.  3ply  13/7* 8/7  eq: +0.585 
 Player: Opponent:  63.00% (G:20.60% B:1.45%) 37.00% (G:8.01% B:0.29%)  

2.  3ply  13/7* 7/6  eq: +0.464 (0.121) 
 Player: Opponent:  60.48% (G:19.82% B:1.39%) 39.52% (G:8.64% B:0.33%)  

3.  1ply  21/15 8/7*  eq: +0.041 (0.544) 
 Player: Opponent:  51.48% (G:17.11% B:1.58%) 48.52% (G:17.66% B:1.32%)  

4.  1ply  8/2 8/7*  eq: 0.014 (0.600) 
 Player: Opponent:  48.56% (G:14.94% B:1.01%) 51.44% (G:12.90% B:0.57%)  

5.  1ply  21/14  eq: 0.091 (0.676) 
 Player: Opponent:  48.41% (G:13.64% B:0.95%) 51.59% (G:17.49% B:0.74%)  



53: Bar/17* 


1.  3ply  Bar/17*  eq: 0.225 
 Player: Opponent:  45.04% (G:11.30% B:0.41%) 54.96% (G:17.01% B:0.98%)  

2.  1ply  Bar/20 6/3  eq: 0.546 (0.321) 
 Player: Opponent:  37.12% (G:8.80% B:0.31%) 62.88% (G:20.92% B:1.69%)  

3.  1ply  Bar/22 8/3  eq: 0.561 (0.337) 
 Player: Opponent:  36.85% (G:8.76% B:0.30%) 63.15% (G:21.41% B:1.80%)  

4.  1ply  Bar/20 8/5  eq: 0.578 (0.353) 
 Player: Opponent:  36.07% (G:8.60% B:0.34%) 63.93% (G:20.90% B:1.60%)  

5.  1ply  Bar/20 5/2  eq: 0.634 (0.409) 
 Player: Opponent:  35.34% (G:8.37% B:0.29%) 64.66% (G:21.69% B:1.84%)  



54: Bar/21 13/8* 


1.  3ply  Bar/21 13/8*  eq: +0.443 
 Player: Opponent:  60.03% (G:19.28% B:1.32%) 39.97% (G:9.39% B:0.38%)  

2.  3ply  Bar/16  eq: +0.317 (0.126) 
 Player: Opponent:  57.52% (G:16.94% B:0.86%) 42.48% (G:9.55% B:0.37%)  

3.  1ply  Bar/21 7/2  eq: 0.294 (0.737) 
 Player: Opponent:  41.87% (G:11.14% B:0.54%) 58.13% (G:15.24% B:0.66%)  



54: Bar/20 24/20 


1.  3ply  Bar/20 24/20  eq: +0.020 
 Player: Opponent:  50.27% (G:10.36% B:0.31%) 49.73% (G:9.34% B:0.29%)  

2.  1ply  Bar/20 6/2  eq: 0.465 (0.485) 
 Player: Opponent:  38.89% (G:9.88% B:0.36%) 61.11% (G:19.92% B:1.49%)  

3.  1ply  Bar/16  eq: 0.492 (0.513) 
 Player: Opponent:  38.24% (G:8.74% B:0.34%) 61.76% (G:19.65% B:1.28%)  

4.  1ply  Bar/20 5/1  eq: 0.531 (0.551) 
 Player: Opponent:  37.21% (G:9.37% B:0.32%) 62.79% (G:20.61% B:1.53%)  

5.  1ply  Bar/20 13/9  eq: 0.957 (0.977) 
 Player: Opponent:  32.28% (G:7.71% B:0.33%) 67.72% (G:28.65% B:3.15%)  



21: 13/11 8/7 


1.  3ply  13/11 8/7  eq: 0.168 
 Player: Opponent:  45.50% (G:9.74% B:0.36%) 54.50% (G:12.38% B:0.43%)  

2.  3ply  13/10  eq: 0.270 (0.102) 
 Player: Opponent:  43.34% (G:9.94% B:0.39%) 56.66% (G:15.19% B:0.58%)  

3.  3ply  8/6 7/6  eq: 0.320 (0.152) 
 Player: Opponent:  41.51% (G:8.64% B:0.27%) 58.49% (G:13.85% B:0.46%)  

4.  2ply  8/6 2/1*  eq: 0.353 (0.185) 
 Player: Opponent:  40.97% (G:7.97% B:0.16%) 59.03% (G:14.64% B:0.47%)  

5.  2ply  8/6 4/3  eq: 0.423 (0.255) 
 Player: Opponent:  39.24% (G:7.46% B:0.16%) 60.76% (G:15.62% B:0.51%)  



31: 6/2 


1.  XG Roller++  6/2  eq: 0.026 
 Player: Opponent:  48.98% (G:10.75% B:0.32%) 51.02% (G:10.50% B:0.40%)  

2.  XG Roller++  6/5 6/3  eq: 0.035 (0.010) 
 Player: Opponent:  48.80% (G:10.82% B:0.36%) 51.20% (G:10.84% B:0.39%)  

3.  4ply  5/1  eq: 0.087 (0.061) 
 Player: Opponent:  47.39% (G:10.27% B:0.26%) 52.61% (G:10.88% B:0.42%)  

4.  3ply  8/7 6/3  eq: 0.079 (0.053) 
 Player: Opponent:  48.23% (G:10.86% B:0.35%) 51.77% (G:12.81% B:0.53%)  

5.  3ply  8/5 6/5  eq: 0.091 (0.065) 
 Player: Opponent:  47.40% (G:10.01% B:0.35%) 52.60% (G:11.04% B:0.42%)  



41: 11/6 


1.  3ply  11/6  eq: 0.028 
 Player: Opponent:  49.26% (G:9.68% B:0.29%) 50.74% (G:10.20% B:0.31%)  

2.  2ply  7/2  eq: 0.275 (0.247) 
 Player: Opponent:  42.65% (G:10.54% B:0.39%) 57.35% (G:15.07% B:0.46%)  

3.  2ply  11/10 7/3  eq: 0.310 (0.282) 
 Player: Opponent:  42.53% (G:10.54% B:0.42%) 57.47% (G:17.57% B:0.62%)  

4.  2ply  7/3 4/3  eq: 0.347 (0.319) 
 Player: Opponent:  41.54% (G:10.68% B:0.51%) 58.46% (G:18.42% B:0.65%)  

5.  1ply  13/9 7/6  eq: 0.351 (0.323) 
 Player: Opponent:  41.77% (G:10.48% B:0.43%) 58.23% (G:18.81% B:0.93%)  



31: 6/2 


1.  3ply  6/2  eq: 0.031 
 Player: Opponent:  49.21% (G:10.38% B:0.29%) 50.79% (G:10.92% B:0.36%)  

2.  3ply  8/7 5/2  eq: 0.112 (0.081) 
 Player: Opponent:  47.57% (G:10.62% B:0.32%) 52.43% (G:13.52% B:0.48%)  

3.  3ply  5/1  eq: 0.115 (0.084) 
 Player: Opponent:  46.65% (G:9.86% B:0.25%) 53.35% (G:10.97% B:0.38%)  

4.  3ply  6/3 2/1  eq: 0.133 (0.102) 
 Player: Opponent:  46.35% (G:9.87% B:0.27%) 53.65% (G:11.64% B:0.45%)  

5.  3ply  8/5 2/1  eq: 0.172 (0.141) 
 Player: Opponent:  45.25% (G:9.59% B:0.27%) 54.75% (G:11.84% B:0.46%)  



21: 7/4 


1.  3ply  7/4  eq: 0.014 
 Player: Opponent:  49.52% (G:10.78% B:0.31%) 50.48% (G:10.69% B:0.33%)  

2.  3ply  6/3  eq: 0.158 (0.144) 
 Player: Opponent:  45.94% (G:10.69% B:0.36%) 54.06% (G:13.31% B:0.48%)  

3.  1ply  13/10  eq: 0.383 (0.369) 
 Player: Opponent:  40.72% (G:8.88% B:0.30%) 59.28% (G:17.25% B:0.76%)  

4.  1ply  13/11 7/6  eq: 0.408 (0.394) 
 Player: Opponent:  40.08% (G:8.96% B:0.29%) 59.92% (G:17.80% B:0.78%)  

5.  1ply  4/3 4/2  eq: 0.462 (0.449) 
 Player: Opponent:  38.01% (G:7.10% B:0.18%) 61.99% (G:15.41% B:0.61%)  



61: 8/1 


1.  XG Roller++  13/7 8/7  eq: 0.086 
 Player: Opponent:  48.18% (G:10.64% B:0.37%) 51.82% (G:13.05% B:0.44%)  

2.  XG Roller++  8/1  eq: 0.134 (0.049) 
 Player: Opponent:  46.71% (G:10.90% B:0.25%) 53.29% (G:13.23% B:0.53%)  

3.  3ply  13/6  eq: 0.224 (0.138) 
 Player: Opponent:  44.34% (G:9.57% B:0.37%) 55.66% (G:13.77% B:0.50%)  

4.  3ply  20/13  eq: 0.241 (0.155) 
 Player: Opponent:  46.23% (G:11.38% B:0.40%) 53.77% (G:20.84% B:0.52%)  

5.  1ply  8/7 8/2  eq: 0.596 (0.510) 
 Player: Opponent:  36.29% (G:8.51% B:0.25%) 63.71% (G:22.75% B:1.33%)  



21: 4/1* 


1.  XG Roller++  6/3  eq: 0.096 
 Player: Opponent:  47.65% (G:13.13% B:0.58%) 52.35% (G:14.85% B:0.37%)  

2.  XG Roller++  4/1*  eq: 0.106 (0.011) 
 Player: Opponent:  47.29% (G:11.62% B:0.38%) 52.71% (G:13.67% B:0.35%)  

3.  2ply  13/10  eq: 0.304 (0.208) 
 Player: Opponent:  42.53% (G:12.34% B:0.73%) 57.47% (G:19.15% B:0.62%)  

4.  2ply  7/4  eq: 0.371 (0.275) 
 Player: Opponent:  40.32% (G:10.42% B:0.41%) 59.68% (G:17.13% B:0.44%)  

5.  2ply  7/6 4/2  eq: 0.390 (0.295) 
 Player: Opponent:  39.88% (G:10.45% B:0.38%) 60.12% (G:17.68% B:0.46%)  



64: Cannot Move 


1.  3ply  Cannot Move  eq: 0.058 
 Player: Opponent:  48.42% (G:12.09% B:0.35%) 51.58% (G:12.79% B:0.38%)  



33: 21/18 7/4 7/1 


1.  XG Roller++  21/18(2) 7/1  eq: +0.219 
 Player: Opponent:  55.77% (G:15.59% B:0.35%) 44.23% (G:13.04% B:0.37%)  

2.  XG Roller++  21/15(2)  eq: +0.210 (0.009) 
 Player: Opponent:  56.69% (G:12.55% B:0.41%) 43.31% (G:13.10% B:0.30%)  

3.  XG Roller++  21/15 7/1  eq: +0.205 (0.014) 
 Player: Opponent:  55.09% (G:15.99% B:0.41%) 44.91% (G:12.19% B:0.40%)  

4.  XG Roller++  21/18 7/4 7/1  eq: +0.199 (0.019) 
 Player: Opponent:  54.89% (G:14.68% B:0.30%) 45.11% (G:11.26% B:0.33%)  

5.  3ply  21/18(2) 13/10(2)  eq: +0.163 (0.056) 
 Player: Opponent:  55.51% (G:12.87% B:0.42%) 44.49% (G:13.10% B:0.33%)  



33: Bar/22 13/10 13/7* 


1.  XG Roller++  Bar/22 13/10(2) 5/2  eq: 0.147 
 Player: Opponent:  46.35% (G:12.51% B:0.40%) 53.65% (G:14.52% B:0.28%)  

2.  XG Roller++  Bar/22 13/10 13/7*  eq: 0.200 (0.053) 
 Player: Opponent:  46.29% (G:12.20% B:0.41%) 53.71% (G:24.26% B:1.07%)  

3.  2ply  Bar/22 20/17(2) 5/2  eq: 0.317 (0.170) 
 Player: Opponent:  43.68% (G:10.74% B:0.34%) 56.32% (G:21.59% B:0.28%)  

4.  2ply  Bar/22 13/7* 5/2  eq: 0.330 (0.183) 
 Player: Opponent:  43.95% (G:11.27% B:0.37%) 56.05% (G:25.32% B:1.16%)  

5.  2ply  Bar/22 8/5 8/2  eq: 0.337 (0.190) 
 Player: Opponent:  41.11% (G:10.09% B:0.22%) 58.89% (G:15.99% B:0.34%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.75% (G:23.90% B:1.09%) 
53.76% (G:23.89% B:1.09%) 
Opponent Winning Chances: 
46.25% (G:11.79% B:0.40%) 
46.24% (G:11.79% B:0.40%) 
Cubeless Equities 
+0.206 
+0.421 
Cubeful Equities 
No double:  +0.212  
Double/Take:  +0.066 (0.145)  
Double/Pass:  +1.000 (+0.788) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.5% 


54: Bar/16 


1.  3ply  Bar/16  eq: 0.021 
 Player: Opponent:  49.61% (G:10.89% B:0.22%) 50.39% (G:11.53% B:0.31%)  

2.  1ply  Bar/21 6/1  eq: 0.303 (0.282) 
 Player: Opponent:  41.56% (G:9.79% B:0.25%) 58.44% (G:13.93% B:0.33%)  

3.  1ply  Bar/21 13/8  eq: 0.544 (0.523) 
 Player: Opponent:  36.12% (G:10.44% B:0.39%) 63.88% (G:20.68% B:0.89%)  



31: 10/9* 9/6 


1.  XG Roller++  10/9* 9/6  eq: 0.032 
 Player: Opponent:  49.90% (G:13.25% B:0.39%) 50.10% (G:16.58% B:0.42%)  

2.  XG Roller++  10/7 2/1  eq: 0.104 (0.072) 
 Player: Opponent:  46.68% (G:13.03% B:0.46%) 53.32% (G:11.19% B:0.21%)  

3.  1ply  10/6  eq: 0.329 (0.296) 
 Player: Opponent:  41.56% (G:10.46% B:0.39%) 58.44% (G:16.75% B:0.50%)  

4.  1ply  10/9* 5/2  eq: 0.391 (0.358) 
 Player: Opponent:  42.72% (G:11.16% B:0.30%) 57.28% (G:24.88% B:1.26%)  

5.  1ply  20/17 10/9*  eq: 0.406 (0.374) 
 Player: Opponent:  44.30% (G:12.54% B:0.34%) 55.70% (G:29.94% B:3.25%)  



62: Cannot Move 


1.  3ply  Cannot Move  eq: 0.431 
 Player: Opponent:  38.75% (G:8.61% B:0.23%) 61.25% (G:14.91% B:0.34%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
62.14% (G:15.37% B:0.30%) 
62.14% (G:15.37% B:0.30%) 
Opponent Winning Chances: 
37.86% (G:8.16% B:0.19%) 
37.86% (G:8.16% B:0.19%) 
Cubeless Equities 
+0.317 
+0.644 
Cubeful Equities 
No double:  +0.475  
Double/Take:  +0.366 (0.108)  
Double/Pass:  +1.000 (+0.525) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.6% 


53: 8/3 6/3 


1.  XG Roller++  20/17 6/1  eq: +0.259 
 Player: Opponent:  57.29% (G:16.23% B:0.38%) 42.71% (G:14.31% B:0.80%)  

2.  XG Roller++  8/3 6/3  eq: +0.043 (0.216) 
 Player: Opponent:  51.62% (G:15.24% B:0.40%) 48.38% (G:19.10% B:0.89%)  

3.  3ply  6/1 5/2  eq: +0.214 (0.045) 
 Player: Opponent:  55.99% (G:13.90% B:0.26%) 44.01% (G:10.30% B:0.22%)  

4.  2ply  8/5 6/1  eq: +0.096 (0.163) 
 Player: Opponent:  53.03% (G:14.09% B:0.30%) 46.97% (G:13.59% B:0.41%)  

5.  2ply  22/17 20/17  eq: +0.085 (0.174) 
 Player: Opponent:  54.14% (G:13.48% B:0.45%) 45.86% (G:17.66% B:0.51%)  



33: Cannot Move 


1.  3ply  Cannot Move  eq: 0.647 
 Player: Opponent:  33.94% (G:7.86% B:0.25%) 66.06% (G:19.43% B:0.40%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
65.72% (G:19.96% B:0.36%) 
65.97% (G:19.46% B:0.28%) 
Opponent Winning Chances: 
34.28% (G:7.27% B:0.21%) 
34.03% (G:6.80% B:0.19%) 
Cubeless Equities 
+0.445 
+0.913 
Cubeful Equities 
No double:  +0.664  
Double/Take:  +0.656 (0.007)  
Double/Pass:  +1.000 (+0.336) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.1% 


42: 22/20 5/1 


1.  XG Roller++  7/1  eq: +0.735 
 Player: Opponent:  66.57% (G:20.16% B:0.33%) 33.43% (G:6.28% B:0.15%)  

2.  XG Roller++  8/6 5/1  eq: +0.730 (0.006) 
 Player: Opponent:  66.23% (G:19.67% B:0.32%) 33.77% (G:5.98% B:0.14%)  

3.  XG Roller++  22/20 5/1  eq: +0.692 (0.043) 
 Player: Opponent:  66.06% (G:19.38% B:0.35%) 33.94% (G:6.29% B:0.15%)  

4.  3ply  20/18 5/1  eq: +0.638 (0.097) 
 Player: Opponent:  66.35% (G:19.71% B:0.25%) 33.65% (G:10.59% B:1.00%)  

5.  1ply  8/6 7/3  eq: +0.373 (0.363) 
 Player: Opponent:  58.80% (G:18.09% B:0.37%) 41.20% (G:9.08% B:0.17%)  



53: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  26.92% (G:4.36% B:0.11%) 73.08% (G:22.18% B:0.38%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
72.56% (G:22.06% B:0.28%) 
72.45% (G:22.08% B:0.20%) 
Opponent Winning Chances: 
27.44% (G:4.72% B:0.13%) 
27.55% (G:4.72% B:0.13%) 
Cubeless Equities 
+0.629 
+1.273 
Cubeful Equities 
No double:  +0.824 (0.176)  
Double/Take:  +1.073 (+0.073)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


63: 8/5 7/1 


1.  XG Roller++  20/14 8/5  eq: +0.790 (+0.007) 
 Player: Opponent:  71.43% (G:22.47% B:0.31%) 28.57% (G:5.01% B:0.13%)  

2.  XG Roller++  20/11  eq: +0.782 
 Player: Opponent:  71.83% (G:22.05% B:0.31%) 28.17% (G:5.83% B:0.19%)  

3.  XG Roller++  8/5 7/1  eq: +0.746 (0.037) 
 Player: Opponent:  66.62% (G:21.68% B:0.25%) 33.38% (G:5.78% B:0.16%)  

4.  4ply  20/17 7/1  eq: +0.744 (0.038) 
 Player: Opponent:  67.87% (G:21.89% B:0.26%) 32.13% (G:6.41% B:0.17%)  

5.  3ply  20/17 8/2  eq: +0.730 (0.053) 
 Player: Opponent:  68.86% (G:21.63% B:0.23%) 31.14% (G:5.82% B:0.13%)  



54: Bar/16 


1.  3ply  Bar/16  eq: 0.112 
 Player: Opponent:  48.05% (G:7.47% B:0.12%) 51.95% (G:11.98% B:0.17%)  

2.  1ply  Bar/21 6/1  eq: 0.520 (0.408) 
 Player: Opponent:  36.38% (G:5.47% B:0.09%) 63.62% (G:14.91% B:0.18%)  

3.  1ply  Bar/21 13/8  eq: 1.000 (0.888) 
 Player: Opponent:  29.13% (G:5.00% B:0.11%) 70.87% (G:29.19% B:0.84%)  



32: 20/17 5/3 


1.  XG Roller++  20/17 5/3  eq: 0.055 
 Player: Opponent:  48.28% (G:11.92% B:0.24%) 51.72% (G:8.19% B:0.15%)  

2.  XG Roller++  20/15  eq: 0.077 (0.022) 
 Player: Opponent:  47.41% (G:11.93% B:0.20%) 52.59% (G:7.63% B:0.15%)  

3.  4ply  20/18 5/2  eq: 0.074 (0.019) 
 Player: Opponent:  47.10% (G:10.79% B:0.15%) 52.90% (G:8.99% B:0.14%)  

4.  2ply  20/17 3/1  eq: 0.283 (0.229) 
 Player: Opponent:  41.83% (G:7.86% B:0.10%) 58.17% (G:11.08% B:0.20%)  

5.  2ply  5/2 3/1  eq: 0.418 (0.363) 
 Player: Opponent:  38.32% (G:6.52% B:0.05%) 61.68% (G:12.12% B:0.28%)  



21: 16/13 


1.  3ply  16/13  eq: 0.165 
 Player: Opponent:  45.62% (G:7.36% B:0.12%) 54.38% (G:9.98% B:0.10%)  

2.  2ply  6/3  eq: 0.434 (0.269) 
 Player: Opponent:  39.06% (G:6.46% B:0.11%) 60.94% (G:16.88% B:0.22%)  

3.  2ply  16/15 4/2  eq: 0.449 (0.284) 
 Player: Opponent:  38.43% (G:5.68% B:0.08%) 61.57% (G:15.77% B:0.20%)  

4.  2ply  4/1  eq: 0.474 (0.309) 
 Player: Opponent:  37.72% (G:5.08% B:0.07%) 62.28% (G:15.66% B:0.20%)  

5.  1ply  16/15 6/4  eq: 0.421 (0.255) 
 Player: Opponent:  39.55% (G:6.63% B:0.16%) 60.45% (G:15.63% B:0.24%)  



32: 20/17 3/1 


1.  XG Roller++  20/17 3/1  eq: +0.045 (+0.002) 
 Player: Opponent:  51.54% (G:11.37% B:0.14%) 48.46% (G:9.68% B:0.19%)  

2.  XG Roller++  20/18 20/17  eq: +0.044 
 Player: Opponent:  51.42% (G:11.02% B:0.18%) 48.58% (G:8.60% B:0.13%)  

3.  3ply  17/14 3/1  eq: 0.063 (0.107) 
 Player: Opponent:  47.82% (G:8.56% B:0.13%) 52.18% (G:7.87% B:0.14%)  

4.  1ply  5/3 5/2  eq: 0.410 (0.453) 
 Player: Opponent:  38.66% (G:6.83% B:0.08%) 61.34% (G:12.62% B:0.28%)  

5.  1ply  20/15  eq: 0.419 (0.463) 
 Player: Opponent:  40.77% (G:12.44% B:0.19%) 59.23% (G:23.47% B:1.25%)  



22: 13/5* 


1.  3ply  13/5*  eq: 0.014 
 Player: Opponent:  49.83% (G:11.92% B:0.17%) 50.17% (G:14.47% B:0.15%)  

2.  3ply  13/11(3) 4/2  eq: 0.108 (0.094) 
 Player: Opponent:  46.00% (G:8.13% B:0.16%) 54.00% (G:6.69% B:0.07%)  

3.  2ply  13/11(3) 6/4  eq: 0.203 (0.189) 
 Player: Opponent:  43.27% (G:7.11% B:0.16%) 56.73% (G:7.36% B:0.09%)  

4.  1ply  13/7 4/2  eq: 0.400 (0.386) 
 Player: Opponent:  38.98% (G:6.83% B:0.12%) 61.02% (G:12.77% B:0.14%)  

5.  1ply  13/9(2)  eq: 0.422 (0.409) 
 Player: Opponent:  37.89% (G:7.23% B:0.24%) 62.11% (G:12.39% B:0.15%)  



31: Bar/22 2/1 


1.  XG Roller++  Bar/22 3/2  eq: 0.578 
 Player: Opponent:  35.49% (G:6.46% B:0.09%) 64.51% (G:18.15% B:0.42%)  

2.  XG Roller++  Bar/22 2/1  eq: 0.634 (0.056) 
 Player: Opponent:  34.84% (G:6.63% B:0.10%) 65.16% (G:19.73% B:0.45%)  

3.  1ply  Bar/22 6/5  eq: 0.956 (0.379) 
 Player: Opponent:  31.48% (G:7.11% B:0.13%) 68.52% (G:28.17% B:0.76%)  

4.  1ply  Bar/22 17/16  eq: 1.000 (0.422) 
 Player: Opponent:  32.19% (G:9.81% B:0.18%) 67.81% (G:34.36% B:2.21%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
65.11% (G:19.83% B:0.50%) 
65.32% (G:20.64% B:0.53%) 
Opponent Winning Chances: 
34.89% (G:6.57% B:0.09%) 
34.68% (G:6.64% B:0.07%) 
Cubeless Equities 
+0.441 
+0.923 
Cubeful Equities 
No double:  +0.618 (0.061)  
Double/Take:  +0.679  
Double/Pass:  +1.000 (+0.321) 

Best Cube action: Double / Take 


62: 13/5 


1.  XG Roller++  13/5  eq: +0.662 
 Player: Opponent:  63.94% (G:21.36% B:0.76%) 36.06% (G:4.42% B:0.06%)  

2.  XG Roller++  21/15 5/3*  eq: +0.615 (0.047) 
 Player: Opponent:  65.89% (G:20.13% B:0.37%) 34.11% (G:8.07% B:0.15%)  

3.  2ply  13/7 5/3*  eq: +0.316 (0.346) 
 Player: Opponent:  59.39% (G:18.78% B:0.31%) 40.61% (G:12.93% B:0.29%)  

4.  2ply  21/13  eq: +0.299 (0.364) 
 Player: Opponent:  56.92% (G:13.90% B:0.25%) 43.08% (G:7.10% B:0.08%)  

5.  1ply  21/15 4/2  eq: +0.137 (0.525) 
 Player: Opponent:  53.50% (G:15.87% B:0.29%) 46.50% (G:13.27% B:0.18%)  



54: 22/18 17/12* 


1.  3ply  22/18 17/12*  eq: 0.443 
 Player: Opponent:  42.95% (G:5.83% B:0.08%) 57.05% (G:26.04% B:2.40%)  

2.  1ply  17/13 17/12*  eq: 0.783 (0.340) 
 Player: Opponent:  36.45% (G:6.60% B:0.12%) 63.55% (G:30.00% B:2.19%)  

3.  1ply  17/12* 12/8  eq: 0.838 (0.395) 
 Player: Opponent:  35.63% (G:7.03% B:0.12%) 64.37% (G:31.01% B:2.39%)  

4.  1ply  22/13  eq: 0.847 (0.403) 
 Player: Opponent:  33.11% (G:3.50% B:0.05%) 66.89% (G:23.27% B:0.47%)  

5.  1ply  22/17 6/2  eq: 0.875 (0.431) 
 Player: Opponent:  32.69% (G:3.16% B:0.05%) 67.31% (G:23.48% B:0.28%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
57.88% (G:28.69% B:3.54%) 
57.91% (G:28.26% B:3.54%) 
Opponent Winning Chances: 
42.12% (G:7.01% B:0.06%) 
42.09% (G:6.92% B:0.06%) 
Cubeless Equities 
+0.415 
+0.842 
Cubeful Equities 
No double:  +0.352 (0.180)  
Double/Take:  +0.532  
Double/Pass:  +1.000 (+0.468) 

Best Cube action: Double / Take 


53: Cannot Move 


1.  3ply  Cannot Move  eq: 0.298 
 Player: Opponent:  40.54% (G:9.92% B:0.32%) 59.46% (G:10.09% B:0.05%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
59.21% (G:8.87% B:0.08%) 
59.20% (G:8.87% B:0.08%) 
Opponent Winning Chances: 
40.79% (G:9.87% B:0.21%) 
40.80% (G:9.86% B:0.21%) 
Cubeless Equities 
+0.173 
+0.347 
Cubeful Equities 
No double:  +0.270  
Double/Take:  +0.097 (0.173)  
Double/Pass:  +1.000 (+0.730) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.1% 


42: 18/12 


1.  XG Roller++  18/12  eq: 0.013 
 Player: Opponent:  49.50% (G:7.59% B:0.05%) 50.50% (G:17.23% B:0.41%)  

2.  XG Roller++  12/6  eq: 0.014 (0.001) 
 Player: Opponent:  50.00% (G:9.13% B:0.06%) 50.00% (G:19.80% B:1.09%)  

3.  2ply  18/16 17/13  eq: 0.111 (0.098) 
 Player: Opponent:  48.78% (G:8.65% B:0.06%) 51.22% (G:24.65% B:2.22%)  

4.  2ply  18/14 17/15  eq: 0.126 (0.113) 
 Player: Opponent:  48.72% (G:8.75% B:0.05%) 51.28% (G:24.70% B:2.15%)  

5.  2ply  17/11  eq: 0.136 (0.123) 
 Player: Opponent:  47.95% (G:8.70% B:0.05%) 52.05% (G:25.08% B:2.34%)  



32: Bar/23* 21/18 


1.  3ply  Bar/23* 21/18  eq: +1.015 
 Player: Opponent:  77.51% (G:37.48% B:0.67%) 22.49% (G:3.11% B:0.05%)  

2.  2ply  Bar/23* 4/1  eq: +0.729 (0.286) 
 Player: Opponent:  69.09% (G:24.50% B:0.41%) 30.91% (G:4.47% B:0.08%)  

3.  2ply  Bar/23* 6/3  eq: +0.682 (0.333) 
 Player: Opponent:  68.74% (G:30.41% B:0.57%) 31.26% (G:7.57% B:0.16%)  

4.  1ply  Bar/23* 5/2  eq: 0.134 (1.150) 
 Player: Opponent:  45.48% (G:12.60% B:0.23%) 54.52% (G:12.58% B:0.15%)  



64: Cannot Move 


1.  3ply  Cannot Move  eq: 1.209 
 Player: Opponent:  15.94% (G:2.26% B:0.07%) 84.06% (G:44.78% B:0.87%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.49% (G:46.77% B:0.91%) 
84.27% (G:46.58% B:0.88%) 
Opponent Winning Chances: 
15.51% (G:1.94% B:0.04%) 
15.73% (G:2.00% B:0.04%) 
Cubeless Equities 
+1.155 
+2.339 
Cubeful Equities 
No double:  +1.211  
Double/Take:  +2.218 (+1.007)  
Double/Pass:  +1.000 (0.211) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 17.3% 


Wins 1pt. 



