
62: 24/18 13/11 

1.  Book^{1}  24/18 13/11  eq: +0.052 
 Player: Opponent:  50.70% (G:12.85% B:0.59%) 49.30% (G:13.46% B:0.53%)  

2.  Book^{1}  24/16  eq: +0.026 (0.027) 
 Player: Opponent:  50.20% (G:11.68% B:0.48%) 49.80% (G:13.17% B:0.48%)  

3.  Book^{1}  13/5  eq: +0.016 (0.036) 
 Player: Opponent:  49.16% (G:13.68% B:0.60%) 50.84% (G:13.45% B:0.67%)  

4.  Book^{1}  13/11 13/7  eq: 0.032 (0.084) 
 Player: Opponent:  48.22% (G:13.63% B:0.68%) 51.78% (G:14.90% B:0.90%)  

5.  Book^{1}  24/22 13/7  eq: 0.035 (0.088) 
 Player: Opponent:  48.05% (G:12.91% B:0.50%) 51.95% (G:13.88% B:0.60%)  


^{1} Generated by GameSite 2000, Ltd on 21May11 using eXtreme Gammon 2.00 Analyzed in XG Roller++




63: 24/21 13/7* 

1.  XG Roller++  24/21 13/7*  eq: 0.034 
 Player: Opponent:  49.63% (G:13.31% B:0.60%) 50.37% (G:12.44% B:0.55%)  

2.  XG Roller++  13/10 13/7*  eq: 0.090 (0.056) 
 Player: Opponent:  48.56% (G:14.13% B:0.68%) 51.44% (G:14.50% B:0.90%)  

3.  XG Roller++  13/7* 7/4  eq: 0.149 (0.116) 
 Player: Opponent:  47.18% (G:13.17% B:0.57%) 52.82% (G:14.77% B:0.81%)  

4.  4ply  13/7* 6/3  eq: 0.220 (0.186) 
 Player: Opponent:  45.84% (G:12.00% B:0.53%) 54.16% (G:16.12% B:1.15%)  

5.  4ply  13/7* 8/5  eq: 0.248 (0.214) 
 Player: Opponent:  45.27% (G:11.84% B:0.53%) 54.73% (G:16.60% B:1.25%)  




65: Bar/20 24/18* 

1.  4ply  Bar/20 24/18*  eq: +0.157 
 Player: Opponent:  53.57% (G:13.12% B:0.58%) 46.43% (G:12.12% B:0.45%)  

2.  4ply  Bar/14  eq: 0.139 (0.296) 
 Player: Opponent:  46.57% (G:9.53% B:0.37%) 53.43% (G:15.08% B:0.58%)  

3.  3ply  Bar/20 11/5  eq: 0.266 (0.423) 
 Player: Opponent:  43.31% (G:10.00% B:0.44%) 56.69% (G:17.57% B:0.81%)  

4.  3ply  Bar/20 13/7  eq: 0.286 (0.442) 
 Player: Opponent:  42.98% (G:11.15% B:0.57%) 57.02% (G:19.56% B:1.28%)  

5.  3ply  Bar/20 8/2  eq: 0.313 (0.470) 
 Player: Opponent:  42.10% (G:10.60% B:0.48%) 57.90% (G:19.14% B:1.19%)  




65: Bar/14* 

1.  XG Roller++  Bar/14*  eq: 0.030 
 Player: Opponent:  49.94% (G:12.37% B:0.50%) 50.06% (G:11.95% B:0.52%)  

2.  XG Roller++  Bar/20 13/7*  eq: 0.167 (0.138) 
 Player: Opponent:  46.56% (G:11.29% B:0.43%) 53.44% (G:13.15% B:0.64%)  

3.  3ply  Bar/20 24/18  eq: 0.393 (0.364) 
 Player: Opponent:  41.04% (G:8.62% B:0.37%) 58.96% (G:15.60% B:0.64%)  

4.  3ply  Bar/20 21/15  eq: 0.406 (0.376) 
 Player: Opponent:  41.27% (G:9.11% B:0.36%) 58.73% (G:16.80% B:0.79%)  

5.  3ply  Bar/20 8/2  eq: 0.468 (0.439) 
 Player: Opponent:  39.11% (G:9.64% B:0.39%) 60.89% (G:16.55% B:1.02%)  




51: Bar/20 6/5 

1.  XG Roller++  Bar/20 6/5  eq: 0.013 
 Player: Opponent:  48.90% (G:10.59% B:0.37%) 51.10% (G:11.69% B:0.39%)  

2.  XG Roller++  Bar/24 18/13  eq: 0.073 (0.060) 
 Player: Opponent:  47.35% (G:10.83% B:0.43%) 52.65% (G:12.86% B:0.49%)  

3.  XG Roller++  Bar/20 8/7  eq: 0.101 (0.087) 
 Player: Opponent:  46.14% (G:10.57% B:0.36%) 53.86% (G:11.91% B:0.41%)  

4.  XG Roller++  Bar/24 6/1*  eq: 0.124 (0.111) 
 Player: Opponent:  46.63% (G:10.72% B:0.35%) 53.37% (G:14.66% B:0.78%)  

5.  XG Roller++  Bar/24 13/8  eq: 0.127 (0.114) 
 Player: Opponent:  46.38% (G:11.19% B:0.47%) 53.62% (G:14.78% B:0.71%)  




61: 21/20* 13/7* 

1.  XG Roller++  21/20* 20/14  eq: +0.190 
 Player: Opponent:  56.13% (G:12.83% B:0.40%) 43.87% (G:10.14% B:0.34%)  

2.  XG Roller++  21/20* 13/7*  eq: +0.144 (0.046) 
 Player: Opponent:  54.00% (G:14.68% B:0.47%) 46.00% (G:10.16% B:0.40%)  

3.  XG Roller++  21/20* 14/8  eq: +0.103 (0.087) 
 Player: Opponent:  53.00% (G:13.61% B:0.41%) 47.00% (G:10.02% B:0.36%)  

4.  XG Roller++  24/18 21/20*  eq: +0.033 (0.157) 
 Player: Opponent:  51.84% (G:12.37% B:0.36%) 48.16% (G:11.30% B:0.45%)  

5.  4ply  13/7* 8/7  eq: 0.069 (0.259) 
 Player: Opponent:  49.36% (G:10.29% B:0.31%) 50.64% (G:11.69% B:0.45%)  




53: Bar/22 Bar/20 

1.  3ply  Bar/22 Bar/20  eq: 0.139 
 Player: Opponent:  45.73% (G:9.77% B:0.37%) 54.27% (G:13.34% B:0.36%)  




31: 8/7 6/3* 

1.  XG Roller++  8/7 6/3*  eq: +0.050 
 Player: Opponent:  52.07% (G:12.19% B:0.39%) 47.93% (G:10.62% B:0.47%)  

2.  XG Roller++  24/20  eq: +0.043 (0.006) 
 Player: Opponent:  51.60% (G:10.09% B:0.27%) 48.40% (G:8.50% B:0.27%)  

3.  XG Roller++  24/21 8/7  eq: 0.008 (0.057) 
 Player: Opponent:  50.44% (G:12.40% B:0.40%) 49.56% (G:11.22% B:0.46%)  

4.  XG Roller++  14/11 8/7  eq: 0.027 (0.077) 
 Player: Opponent:  49.94% (G:12.75% B:0.42%) 50.06% (G:11.61% B:0.50%)  

5.  XG Roller++  14/13 6/3*  eq: 0.036 (0.085) 
 Player: Opponent:  49.98% (G:11.14% B:0.33%) 50.02% (G:11.13% B:0.51%)  




22: Bar/23 13/11* 6/4(2) 

1.  XG Roller++  Bar/23 13/11* 6/4(2)  eq: +0.144 
 Player: Opponent:  52.66% (G:12.61% B:0.64%) 47.34% (G:11.02% B:0.37%)  

2.  XG Roller++  Bar/21 13/11*(2)  eq: +0.025 (0.118) 
 Player: Opponent:  49.95% (G:10.04% B:0.40%) 50.05% (G:10.71% B:0.34%)  

3.  XG Roller++  Bar/23 13/11*(2) 6/4  eq: 0.002 (0.145) 
 Player: Opponent:  49.60% (G:11.56% B:0.50%) 50.40% (G:13.78% B:0.52%)  

4.  XG Roller++  Bar/23 13/11*(2) 8/6  eq: 0.023 (0.166) 
 Player: Opponent:  48.60% (G:11.05% B:0.47%) 51.40% (G:12.20% B:0.44%)  

5.  4ply  Bar/23 13/11*(3)  eq: 0.032 (0.176) 
 Player: Opponent:  48.45% (G:10.73% B:0.46%) 51.55% (G:12.44% B:0.39%)  




33: Bar/22 7/4(2) 6/3 

1.  XG Roller++  Bar/22 7/4(2) 6/3  eq: 0.043 
 Player: Opponent:  49.13% (G:14.57% B:0.58%) 50.87% (G:12.42% B:0.56%)  

2.  XG Roller++  Bar/22 13/7 6/3  eq: 0.149 (0.106) 
 Player: Opponent:  46.84% (G:14.26% B:0.59%) 53.16% (G:14.06% B:0.69%)  

3.  4ply  Bar/22 13/10(2) 6/3  eq: 0.221 (0.178) 
 Player: Opponent:  45.23% (G:13.74% B:0.69%) 54.77% (G:15.75% B:0.88%)  

4.  4ply  Bar/22 13/10(3)  eq: 0.323 (0.280) 
 Player: Opponent:  43.49% (G:11.00% B:0.42%) 56.51% (G:16.79% B:1.01%)  

5.  3ply  Bar/22 13/10 6/3(2)  eq: 0.414 (0.371) 
 Player: Opponent:  40.76% (G:11.85% B:0.49%) 59.24% (G:18.29% B:1.10%)  




51: 11/5* 

1.  XG Roller++  11/5*  eq: 0.118 
 Player: Opponent:  47.56% (G:11.40% B:0.46%) 52.44% (G:18.60% B:0.80%)  

2.  XG Roller++  20/14  eq: 0.254 (0.136) 
 Player: Opponent:  45.27% (G:9.95% B:0.41%) 54.73% (G:21.86% B:0.95%)  

3.  4ply  11/6 8/7  eq: 0.312 (0.194) 
 Player: Opponent:  42.90% (G:9.54% B:0.34%) 57.10% (G:20.65% B:0.82%)  

4.  4ply  23/18 11/10  eq: 0.315 (0.197) 
 Player: Opponent:  43.08% (G:8.80% B:0.27%) 56.92% (G:20.40% B:0.69%)  

5.  4ply  11/10 8/3*  eq: 0.325 (0.206) 
 Player: Opponent:  43.73% (G:10.21% B:0.39%) 56.27% (G:23.81% B:1.16%)  




21: Bar/24 22/20* 

1.  3ply  Bar/24 22/20*  eq: +0.269 
 Player: Opponent:  55.87% (G:20.25% B:0.84%) 44.13% (G:9.66% B:0.34%)  

2.  3ply  Bar/22  eq: 0.133 (0.402) 
 Player: Opponent:  46.59% (G:13.77% B:0.51%) 53.41% (G:13.24% B:0.42%)  

3.  3ply  Bar/23 24/23  eq: 0.213 (0.482) 
 Player: Opponent:  45.03% (G:13.49% B:0.51%) 54.97% (G:14.99% B:0.56%)  

4.  3ply  Bar/24 6/4  eq: 0.275 (0.544) 
 Player: Opponent:  43.85% (G:13.55% B:0.52%) 56.15% (G:16.36% B:0.80%)  

5.  3ply  Bar/23 3/2*  eq: 0.304 (0.572) 
 Player: Opponent:  43.98% (G:13.09% B:0.49%) 56.02% (G:17.76% B:1.00%)  




51: Bar/24 20/15 

1.  XG Roller++  Bar/24 23/18  eq: 0.225 
 Player: Opponent:  45.29% (G:9.85% B:0.36%) 54.71% (G:19.47% B:0.69%)  

2.  XG Roller++  Bar/24 13/8  eq: 0.286 (0.061) 
 Player: Opponent:  43.68% (G:9.76% B:0.39%) 56.32% (G:20.01% B:0.86%)  

3.  XG Roller++  Bar/24 20/15  eq: 0.296 (0.070) 
 Player: Opponent:  44.36% (G:9.85% B:0.40%) 55.64% (G:22.81% B:1.10%)  

4.  XG Roller++  Bar/20 8/7  eq: 0.370 (0.145) 
 Player: Opponent:  43.11% (G:9.02% B:0.33%) 56.89% (G:24.39% B:1.05%)  

5.  4ply  Bar/24 8/3  eq: 0.430 (0.205) 
 Player: Opponent:  41.77% (G:9.32% B:0.35%) 58.23% (G:26.93% B:1.49%)  




42: 24/22 24/20 

1.  XG Roller++  24/22 24/20  eq: +0.275 
 Player: Opponent:  56.19% (G:17.75% B:0.69%) 43.81% (G:8.49% B:0.29%)  

2.  XG Roller++  24/20 6/4  eq: +0.229 (0.046) 
 Player: Opponent:  54.97% (G:17.70% B:0.65%) 45.03% (G:8.78% B:0.30%)  

3.  XG Roller++  24/20 13/11  eq: +0.156 (0.119) 
 Player: Opponent:  53.16% (G:16.63% B:0.70%) 46.84% (G:9.46% B:0.33%)  

4.  XG Roller++  24/22 6/2*  eq: +0.141 (0.134) 
 Player: Opponent:  52.39% (G:19.54% B:1.15%) 47.61% (G:11.43% B:0.55%)  

5.  4ply  24/18  eq: +0.099 (0.175) 
 Player: Opponent:  52.08% (G:17.74% B:0.98%) 47.92% (G:11.69% B:0.56%)  




41: 24/23 15/11 

1.  XG Roller++  24/23 15/11  eq: 0.336 
 Player: Opponent:  42.50% (G:8.16% B:0.28%) 57.50% (G:19.23% B:0.88%)  

2.  XG Roller++  24/20 15/14  eq: 0.350 (0.014) 
 Player: Opponent:  42.74% (G:8.37% B:0.27%) 57.26% (G:21.06% B:0.75%)  

3.  XG Roller++  24/23 13/9  eq: 0.411 (0.075) 
 Player: Opponent:  42.10% (G:7.70% B:0.28%) 57.90% (G:23.78% B:1.30%)  

4.  XG Roller++  15/10  eq: 0.422 (0.086) 
 Player: Opponent:  41.36% (G:8.35% B:0.30%) 58.64% (G:23.46% B:1.12%)  

5.  XG Roller++  24/23 8/4  eq: 0.439 (0.103) 
 Player: Opponent:  39.94% (G:7.68% B:0.26%) 60.06% (G:20.45% B:1.00%)  




52: 22/15 

1.  XG Roller++  22/15  eq: +0.362 
 Player: Opponent:  58.64% (G:17.84% B:0.76%) 41.36% (G:7.87% B:0.27%)  

2.  XG Roller++  22/20 13/8  eq: +0.358 (0.003) 
 Player: Opponent:  58.48% (G:17.78% B:0.71%) 41.52% (G:7.70% B:0.26%)  

3.  XG Roller++  13/8 6/4  eq: +0.244 (0.118) 
 Player: Opponent:  55.21% (G:18.35% B:0.85%) 44.79% (G:9.12% B:0.34%)  

4.  XG Roller++  13/6  eq: +0.243 (0.119) 
 Player: Opponent:  55.20% (G:18.50% B:0.85%) 44.80% (G:9.19% B:0.35%)  

5.  4ply  22/20 6/1  eq: +0.187 (0.175) 
 Player: Opponent:  54.21% (G:17.14% B:0.62%) 45.79% (G:9.44% B:0.31%)  




43: 13/10* 11/7 

1.  XG Roller++  13/10* 11/7  eq: 0.341 
 Player: Opponent:  42.13% (G:8.32% B:0.31%) 57.87% (G:18.82% B:0.92%)  

2.  XG Roller++  13/10* 10/6  eq: 0.372 (0.031) 
 Player: Opponent:  40.65% (G:8.01% B:0.28%) 59.35% (G:17.30% B:0.76%)  

3.  XG Roller++  13/10* 8/4  eq: 0.428 (0.087) 
 Player: Opponent:  40.18% (G:8.07% B:0.30%) 59.82% (G:20.61% B:1.06%)  

4.  XG Roller++  23/20 11/7  eq: 0.447 (0.106) 
 Player: Opponent:  39.66% (G:7.70% B:0.26%) 60.34% (G:19.48% B:0.67%)  

5.  XG Roller++  13/9 11/8  eq: 0.466 (0.125) 
 Player: Opponent:  38.68% (G:7.16% B:0.24%) 61.32% (G:18.52% B:0.85%)  




62: Bar/23 13/7 

1.  4ply  Bar/23 13/7  eq: +0.143 
 Player: Opponent:  53.21% (G:16.92% B:0.90%) 46.79% (G:10.49% B:0.38%)  

2.  4ply  Bar/23 20/14  eq: 0.020 (0.163) 
 Player: Opponent:  49.89% (G:16.32% B:0.90%) 50.11% (G:14.12% B:0.67%)  




54: 8/3 7/3 

1.  XG Roller++  23/18* 18/14  eq: 0.142 
 Player: Opponent:  47.79% (G:10.75% B:0.43%) 52.21% (G:19.39% B:1.04%)  

2.  XG Roller++  23/18* 10/6  eq: 0.189 (0.047) 
 Player: Opponent:  45.92% (G:10.42% B:0.40%) 54.08% (G:18.26% B:0.76%)  

3.  XG Roller++  8/3 7/3  eq: 0.272 (0.131) 
 Player: Opponent:  43.24% (G:10.06% B:0.43%) 56.76% (G:17.83% B:0.86%)  

4.  4ply  23/18* 8/4  eq: 0.381 (0.240) 
 Player: Opponent:  42.55% (G:10.06% B:0.38%) 57.45% (G:23.93% B:1.45%)  

5.  4ply  23/18* 7/3  eq: 0.382 (0.240) 
 Player: Opponent:  43.03% (G:9.88% B:0.33%) 56.97% (G:25.24% B:1.50%)  




61: 13/6 

1.  XG Roller++  20/13  eq: 0.155 
 Player: Opponent:  47.47% (G:17.13% B:1.11%) 52.53% (G:18.92% B:1.08%)  

2.  XG Roller++  13/7 8/7  eq: 0.201 (0.047) 
 Player: Opponent:  45.45% (G:12.96% B:0.63%) 54.55% (G:14.55% B:0.61%)  

3.  XG Roller++  20/14 7/6  eq: 0.253 (0.098) 
 Player: Opponent:  45.06% (G:16.17% B:1.00%) 54.94% (G:19.82% B:1.17%)  

4.  XG Roller++  13/7 4/3  eq: 0.284 (0.129) 
 Player: Opponent:  44.08% (G:12.44% B:0.60%) 55.92% (G:15.95% B:0.70%)  

5.  XG Roller++  13/6  eq: 0.284 (0.129) 
 Player: Opponent:  43.71% (G:12.63% B:0.61%) 56.29% (G:15.69% B:0.69%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
56.31% (G:15.52% B:0.69%) 
56.27% (G:15.38% B:0.67%) 
Opponent Winning Chances: 
43.69% (G:12.73% B:0.59%) 
43.73% (G:12.54% B:0.57%) 
Cubeless Equities 
+0.154 
+0.328 
Cubeful Equities 
No double:  +0.284  
Double/Take:  +0.087 (0.198)  
Double/Pass:  +1.000 (+0.716) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.8% 



54: 23/18* 10/6 

1.  XG Roller++  23/18* 10/6  eq: +0.404 
 Player: Opponent:  58.86% (G:16.29% B:0.75%) 41.14% (G:10.80% B:0.41%)  

2.  XG Roller++  23/18* 18/14  eq: +0.402 (0.002) 
 Player: Opponent:  59.34% (G:16.41% B:0.82%) 40.66% (G:12.21% B:0.53%)  

3.  4ply  23/18* 20/16  eq: +0.097 (0.307) 
 Player: Opponent:  52.99% (G:15.77% B:0.87%) 47.01% (G:21.39% B:2.70%)  

4.  4ply  23/18* 13/9  eq: +0.072 (0.332) 
 Player: Opponent:  52.45% (G:14.46% B:0.75%) 47.55% (G:19.35% B:1.38%)  

5.  3ply  23/18* 8/4  eq: 0.066 (0.470) 
 Player: Opponent:  49.15% (G:15.25% B:0.84%) 50.85% (G:20.95% B:1.34%)  




51: Bar/20 8/7* 

1.  XG Roller++  Bar/24 13/8  eq: 0.245 
 Player: Opponent:  44.05% (G:10.35% B:0.34%) 55.95% (G:12.40% B:0.45%)  

2.  XG Roller++  Bar/20 8/7*  eq: 0.433 (0.187) 
 Player: Opponent:  41.09% (G:11.84% B:0.49%) 58.91% (G:21.23% B:1.20%)  

3.  4ply  Bar/24 23/18  eq: 0.439 (0.193) 
 Player: Opponent:  40.76% (G:9.82% B:0.39%) 59.24% (G:17.95% B:0.88%)  

4.  3ply  Bar/24 6/1  eq: 0.645 (0.400) 
 Player: Opponent:  35.63% (G:9.02% B:0.33%) 64.37% (G:19.68% B:1.03%)  

5.  2ply  Bar/20 3/2*  eq: 0.876 (0.631) 
 Player: Opponent:  33.84% (G:7.37% B:0.20%) 66.16% (G:25.57% B:1.54%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.00% (G:21.41% B:1.21%) 
58.84% (G:21.46% B:1.30%) 
Opponent Winning Chances: 
41.00% (G:11.90% B:0.48%) 
41.16% (G:12.01% B:0.49%) 
Cubeless Equities 
+0.282 
+0.590 
Cubeful Equities 
No double:  +0.440  
Double/Take:  +0.355 (0.085)  
Double/Pass:  +1.000 (+0.560) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.7% 



61: Bar/18* 

1.  XG Roller++  Bar/24 23/17*  eq: +0.753 
 Player: Opponent:  65.30% (G:24.41% B:1.33%) 34.70% (G:8.21% B:0.30%)  

2.  XG Roller++  Bar/18*  eq: +0.734 (0.019) 
 Player: Opponent:  64.47% (G:26.03% B:1.53%) 35.53% (G:8.37% B:0.31%)  

3.  2ply  Bar/24 8/2*  eq: +0.061 (0.692) 
 Player: Opponent:  51.01% (G:21.31% B:1.56%) 48.99% (G:20.34% B:1.40%)  

4.  2ply  Bar/24 13/7  eq: 0.459 (1.213) 
 Player: Opponent:  40.00% (G:11.16% B:0.74%) 60.00% (G:28.16% B:2.12%)  

5.  2ply  Bar/24 20/14  eq: 0.471 (1.224) 
 Player: Opponent:  40.33% (G:11.92% B:0.78%) 59.67% (G:30.19% B:2.94%)  




61: Bar/24 13/7* 

1.  XG Roller++  Bar/24 13/7*  eq: 0.555 
 Player: Opponent:  39.20% (G:10.87% B:0.42%) 60.80% (G:22.50% B:1.33%)  

2.  XG Roller++  Bar/24 8/2*  eq: 0.647 (0.091) 
 Player: Opponent:  37.19% (G:9.34% B:0.30%) 62.81% (G:23.17% B:1.38%)  

3.  3ply  Bar/18  eq: 1.000 (0.445) 
 Player: Opponent:  31.85% (G:7.26% B:0.33%) 68.15% (G:33.18% B:2.08%)  

4.  3ply  Bar/24 20/14  eq: 1.000 (0.445) 
 Player: Opponent:  32.19% (G:7.14% B:0.36%) 67.81% (G:33.46% B:3.27%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
60.77% (G:22.22% B:1.34%) 
60.64% (G:22.25% B:1.39%) 
Opponent Winning Chances: 
39.23% (G:10.81% B:0.41%) 
39.36% (G:10.85% B:0.40%) 
Cubeless Equities 
+0.339 
+0.707 
Cubeful Equities 
No double:  +0.552  
Double/Take:  +0.473 (0.079)  
Double/Pass:  +1.000 (+0.448) 

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



53: Bar/17* 

1.  3ply  Bar/17*  eq: +0.835 
 Player: Opponent:  67.09% (G:25.69% B:1.54%) 32.91% (G:7.09% B:0.24%)  

2.  3ply  Bar/20 23/20  eq: +0.493 (0.342) 
 Player: Opponent:  61.79% (G:16.84% B:0.56%) 38.21% (G:8.69% B:0.27%)  

3.  3ply  Bar/20 6/3  eq: +0.299 (0.536) 
 Player: Opponent:  56.85% (G:16.43% B:0.66%) 43.15% (G:12.02% B:0.45%)  

4.  2ply  Bar/20 13/10  eq: +0.012 (0.823) 
 Player: Opponent:  49.96% (G:15.91% B:0.91%) 50.04% (G:18.96% B:0.85%)  

5.  2ply  Bar/20 4/1*  eq: 0.135 (0.970) 
 Player: Opponent:  47.08% (G:13.76% B:0.54%) 52.92% (G:22.23% B:1.03%)  




61: Bar/24 20/14 

1.  XG Roller++  Bar/24 20/14  eq: 0.933 
 Player: Opponent:  33.70% (G:6.66% B:0.24%) 66.30% (G:28.19% B:2.85%)  

2.  XG Roller++  Bar/24 7/1  eq: 0.937 (0.005) 
 Player: Opponent:  31.44% (G:7.18% B:0.19%) 68.56% (G:23.50% B:1.30%)  

3.  XG Roller++  Bar/18  eq: 1.000 (0.067) 
 Player: Opponent:  33.21% (G:7.41% B:0.30%) 66.79% (G:31.75% B:2.34%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.49% (G:28.33% B:2.85%) 
66.20% (G:28.30% B:2.86%) 
Opponent Winning Chances: 
33.51% (G:6.60% B:0.23%) 
33.80% (G:6.77% B:0.25%) 
Cubeless Equities 
+0.576 
+1.181 
Cubeful Equities 
No double:  +0.891 (0.059)  
Double/Take:  +0.951  
Double/Pass:  +1.000 (+0.049) 

Best Cube action: Double / Take 



61: 17/11* 11/10 

1.  4ply  17/11* 11/10  eq: +0.931 
 Player: Opponent:  67.29% (G:28.15% B:2.72%) 32.71% (G:6.69% B:0.23%)  

2.  4ply  17/11* 13/12  eq: +0.742 (0.189) 
 Player: Opponent:  63.96% (G:26.34% B:2.69%) 36.04% (G:9.54% B:0.47%)  

3.  4ply  23/16  eq: +0.628 (0.303) 
 Player: Opponent:  63.16% (G:20.42% B:1.29%) 36.84% (G:8.97% B:0.31%)  

4.  3ply  17/10  eq: +0.566 (0.365) 
 Player: Opponent:  61.39% (G:21.67% B:1.63%) 38.61% (G:9.72% B:0.35%)  

5.  3ply  17/11* 8/7  eq: +0.554 (0.376) 
 Player: Opponent:  60.73% (G:25.65% B:2.72%) 39.27% (G:12.57% B:0.65%)  




43: Cannot Move 

1.  3ply  Cannot Move  eq: 1.002 
 Player: Opponent:  30.51% (G:4.83% B:0.18%) 69.49% (G:33.36% B:4.03%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.72% (G:32.89% B:4.07%) 
68.74% (G:33.50% B:4.22%) 
Opponent Winning Chances: 
31.28% (G:5.09% B:0.18%) 
31.26% (G:5.30% B:0.21%) 
Cubeless Equities 
+0.696 
+1.458 
Cubeful Equities 
No double:  +1.004  
Double/Take:  +1.228 (+0.224)  
Double/Pass:  +1.000 (0.004) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 1.9% 



52: 23/18* 20/18 

1.  XG Roller++  23/18* 10/8  eq: +1.008 
 Player: Opponent:  68.06% (G:33.07% B:4.01%) 31.94% (G:4.99% B:0.17%)  

2.  XG Roller++  23/18* 18/16  eq: +1.007 (0.000) 
 Player: Opponent:  68.44% (G:33.44% B:4.01%) 31.56% (G:4.82% B:0.18%)  

3.  XG Roller++  23/18* 13/11  eq: +0.991 (0.016) 
 Player: Opponent:  68.07% (G:32.99% B:3.92%) 31.93% (G:5.10% B:0.18%)  

4.  XG Roller++  23/18* 6/4  eq: +0.986 (0.022) 
 Player: Opponent:  67.23% (G:32.85% B:3.95%) 32.77% (G:5.37% B:0.20%)  

5.  XG Roller++  23/18* 20/18  eq: +0.978 (0.029) 
 Player: Opponent:  67.46% (G:33.04% B:4.08%) 32.54% (G:5.67% B:0.22%)  




54: Bar/20 

1.  3ply  Bar/20  eq: 1.000 
 Player: Opponent:  32.26% (G:5.37% B:0.20%) 67.74% (G:32.76% B:3.73%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
67.23% (G:32.01% B:3.46%) 
66.80% (G:32.39% B:3.66%) 
Opponent Winning Chances: 
32.77% (G:5.28% B:0.19%) 
33.20% (G:5.77% B:0.22%) 
Cubeless Equities 
+0.649 
+1.333 
Cubeful Equities 
No double:  +0.966 (0.034)  
Double/Take:  +1.083 (+0.083)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 



54: 20/15 10/6 

1.  XG Roller++  20/16 18/13  eq: +0.922 
 Player: Opponent:  66.25% (G:30.46% B:3.08%) 33.75% (G:5.70% B:0.24%)  

2.  XG Roller++  20/15 6/2*  eq: +0.915 (0.007) 
 Player: Opponent:  67.20% (G:31.79% B:3.53%) 32.80% (G:6.78% B:0.28%)  

3.  XG Roller++  20/15 10/6  eq: +0.905 (0.017) 
 Player: Opponent:  64.85% (G:30.71% B:3.15%) 35.15% (G:5.86% B:0.23%)  

4.  XG Roller++  18/13 6/2*  eq: +0.899 (0.024) 
 Player: Opponent:  66.65% (G:31.50% B:3.55%) 33.35% (G:6.82% B:0.33%)  

5.  XG Roller++  20/15 18/14  eq: +0.898 (0.025) 
 Player: Opponent:  65.88% (G:30.39% B:3.04%) 34.12% (G:6.25% B:0.35%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  33.03% (G:4.90% B:0.17%) 66.97% (G:34.24% B:4.24%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.52% (G:33.87% B:4.13%) 
66.43% (G:33.88% B:4.15%) 
Opponent Winning Chances: 
33.48% (G:4.88% B:0.18%) 
33.57% (G:5.07% B:0.20%) 
Cubeless Equities 
+0.665 
+1.376 
Cubeful Equities 
No double:  +0.954 (0.046)  
Double/Take:  +1.116 (+0.116)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 



32: 15/12 6/4 

1.  XG Roller++  18/16 18/15  eq: +0.924 
 Player: Opponent:  65.01% (G:31.79% B:3.45%) 34.99% (G:5.36% B:0.21%)  

2.  XG Roller++  18/16 15/12  eq: +0.923 (0.001) 
 Player: Opponent:  65.04% (G:31.78% B:3.56%) 34.96% (G:5.30% B:0.21%)  

3.  XG Roller++  15/12 6/4  eq: +0.918 (0.006) 
 Player: Opponent:  64.78% (G:32.02% B:3.76%) 35.22% (G:5.38% B:0.20%)  

4.  XG Roller++  18/13  eq: +0.917 (0.007) 
 Player: Opponent:  64.84% (G:31.52% B:3.34%) 35.16% (G:5.35% B:0.20%)  

5.  XG Roller++  18/15 6/4  eq: +0.915 (0.009) 
 Player: Opponent:  64.79% (G:32.14% B:3.81%) 35.21% (G:5.47% B:0.21%)  




66: Cannot Move 

1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  32.70% (G:4.54% B:0.16%) 67.30% (G:36.35% B:4.88%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
67.44% (G:36.03% B:4.75%) 
67.41% (G:36.30% B:4.80%) 
Opponent Winning Chances: 
32.56% (G:4.58% B:0.19%) 
32.59% (G:4.64% B:0.18%) 
Cubeless Equities 
+0.715 
+1.493 
Cubeful Equities 
No double:  +0.986 (0.014)  
Double/Take:  +1.237 (+0.237)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 



41: 13/12 6/2* 

1.  XG Roller++  13/12 6/2*  eq: +0.936 
 Player: Opponent:  66.73% (G:34.30% B:4.29%) 33.27% (G:5.70% B:0.22%)  

2.  XG Roller++  18/17 6/2*  eq: +0.926 (0.011) 
 Player: Opponent:  66.53% (G:34.44% B:4.40%) 33.47% (G:5.96% B:0.29%)  

3.  XG Roller++  6/2* 3/2  eq: +0.925 (0.011) 
 Player: Opponent:  66.29% (G:34.96% B:4.55%) 33.71% (G:5.75% B:0.23%)  

4.  XG Roller++  12/11 6/2*  eq: +0.922 (0.015) 
 Player: Opponent:  66.33% (G:34.09% B:4.23%) 33.67% (G:5.98% B:0.23%)  

5.  XG Roller++  18/14 13/12  eq: +0.916 (0.020) 
 Player: Opponent:  64.95% (G:32.78% B:4.00%) 35.05% (G:4.81% B:0.19%)  




62: Bar/23* 

1.  3ply  Bar/23*  eq: 0.900 
 Player: Opponent:  35.02% (G:7.05% B:0.28%) 64.98% (G:29.66% B:2.93%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.30% (G:29.01% B:2.86%) 
64.08% (G:28.92% B:2.90%) 
Opponent Winning Chances: 
35.70% (G:7.32% B:0.31%) 
35.92% (G:7.41% B:0.31%) 
Cubeless Equities 
+0.531 
+1.096 
Cubeful Equities 
No double:  +0.836 (0.008)  
Double/Take:  +0.843  
Double/Pass:  +1.000 (+0.157) 

Best Cube action: Double / Take 



53: Bar/17 

1.  XG Roller++  Bar/17  eq: +0.916 
 Player: Opponent:  65.45% (G:30.13% B:3.00%) 34.55% (G:6.11% B:0.25%)  

2.  XG Roller++  Bar/20 18/15  eq: +0.833 (0.082) 
 Player: Opponent:  63.84% (G:29.89% B:3.16%) 36.16% (G:7.43% B:0.41%)  

3.  XG Roller++  Bar/20 13/10  eq: +0.826 (0.089) 
 Player: Opponent:  63.58% (G:29.52% B:3.04%) 36.42% (G:7.70% B:0.32%)  

4.  4ply  Bar/20 12/9  eq: +0.740 (0.176) 
 Player: Opponent:  62.22% (G:28.38% B:2.96%) 37.78% (G:8.98% B:0.43%)  

5.  2ply  Bar/20 6/3  eq: +0.064 (0.851) 
 Player: Opponent:  49.71% (G:17.10% B:1.35%) 50.29% (G:16.15% B:0.71%)  




41: Bar/20 

1.  XG Roller++  Bar/20  eq: 0.958 
 Player: Opponent:  34.21% (G:6.02% B:0.21%) 65.79% (G:29.76% B:2.86%)  

2.  XG Roller++  Bar/24 20/16  eq: 1.000 (0.042) 
 Player: Opponent:  33.24% (G:6.10% B:0.26%) 66.76% (G:33.50% B:4.52%)  

3.  XG Roller++  Bar/24 6/2  eq: 1.010 (0.052) 
 Player: Opponent:  31.17% (G:5.30% B:0.19%) 68.83% (G:32.99% B:3.83%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
65.69% (G:30.09% B:2.98%) 
65.70% (G:30.20% B:2.97%) 
Opponent Winning Chances: 
34.31% (G:5.90% B:0.21%) 
34.30% (G:6.04% B:0.22%) 
Cubeless Equities 
+0.587 
+1.221 
Cubeful Equities 
No double:  +0.910 (0.059)  
Double/Take:  +0.969  
Double/Pass:  +1.000 (+0.031) 

Best Cube action: Double / Take 



64: 18/12 17/13 

1.  XG Roller++  18/12 17/13  eq: +0.922 
 Player: Opponent:  65.76% (G:28.73% B:2.55%) 34.24% (G:5.40% B:0.20%)  

2.  XG Roller++  17/13 12/6  eq: +0.867 (0.055) 
 Player: Opponent:  64.51% (G:29.09% B:2.57%) 35.49% (G:6.46% B:0.25%)  

3.  XG Roller++  18/8  eq: +0.793 (0.130) 
 Player: Opponent:  63.02% (G:28.44% B:2.71%) 36.98% (G:7.32% B:0.32%)  

4.  XG Roller++  13/3  eq: +0.788 (0.134) 
 Player: Opponent:  62.63% (G:29.24% B:2.82%) 37.37% (G:7.11% B:0.29%)  

5.  4ply  18/14 18/12  eq: +0.750 (0.172) 
 Player: Opponent:  62.83% (G:27.37% B:2.48%) 37.17% (G:7.72% B:0.31%)  




65: 20/9 

1.  XG Roller++  24/18 23/18  eq: 0.972 
 Player: Opponent:  32.37% (G:5.83% B:0.17%) 67.63% (G:26.23% B:0.72%)  

2.  XG Roller++  20/9  eq: 0.974 (0.002) 
 Player: Opponent:  33.67% (G:5.32% B:0.17%) 66.33% (G:28.47% B:2.93%)  

3.  XG Roller++  20/15 20/14  eq: 1.000 (0.028) 
 Player: Opponent:  33.41% (G:4.92% B:0.18%) 66.59% (G:32.84% B:4.33%)  

4.  XG Roller++  23/18 20/14  eq: 1.000 (0.028) 
 Player: Opponent:  33.22% (G:4.59% B:0.17%) 66.78% (G:33.46% B:4.20%)  

5.  XG Roller++  20/14 6/1  eq: 1.042 (0.071) 
 Player: Opponent:  29.65% (G:4.22% B:0.13%) 70.35% (G:33.36% B:3.84%)  




Double/Take 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.16% (G:28.33% B:2.92%) 
66.28% (G:28.33% B:2.90%) 
Opponent Winning Chances: 
33.84% (G:5.22% B:0.17%) 
33.72% (G:5.33% B:0.17%) 
Cubeless Equities 
+0.585 
+1.217 
Cubeful Equities 
No double:  +0.898 (0.071)  
Double/Take:  +0.969  
Double/Pass:  +1.000 (+0.031) 

Best Cube action: Double / Take 



61: 18/17 12/6 

1.  XG Roller++  18/17 12/6  eq: +0.436 
 Player: Opponent:  65.57% (G:26.00% B:2.29%) 34.43% (G:5.96% B:0.21%)  

2.  XG Roller++  12/6 4/3  eq: +0.396 (0.039) 
 Player: Opponent:  64.20% (G:26.01% B:2.34%) 35.80% (G:6.67% B:0.25%)  

3.  XG Roller++  18/12 4/3  eq: +0.388 (0.048) 
 Player: Opponent:  65.12% (G:22.96% B:1.64%) 34.88% (G:5.84% B:0.20%)  

4.  XG Roller++  18/11  eq: +0.360 (0.076) 
 Player: Opponent:  64.33% (G:22.57% B:1.84%) 35.67% (G:7.05% B:0.23%)  

5.  XG Roller++  18/12 13/12  eq: +0.353 (0.083) 
 Player: Opponent:  64.43% (G:21.43% B:1.75%) 35.57% (G:6.34% B:0.17%)  




61: 20/14 9/8* 

1.  XG Roller++  20/14 9/8*  eq: 0.371 
 Player: Opponent:  36.47% (G:7.75% B:0.28%) 63.53% (G:25.53% B:2.71%)  

2.  XG Roller++  24/23 24/18  eq: 0.401 (0.029) 
 Player: Opponent:  36.41% (G:5.45% B:0.20%) 63.59% (G:28.47% B:1.40%)  

3.  XG Roller++  24/23 20/14  eq: 0.435 (0.064) 
 Player: Opponent:  36.09% (G:5.33% B:0.19%) 63.91% (G:30.38% B:2.00%)  

4.  XG Roller++  24/18 9/8*  eq: 0.470 (0.099) 
 Player: Opponent:  34.92% (G:8.47% B:0.34%) 65.08% (G:31.72% B:2.28%)  

5.  XG Roller++  9/8* 8/2  eq: 0.485 (0.113) 
 Player: Opponent:  33.03% (G:6.11% B:0.19%) 66.97% (G:27.47% B:2.51%)  




42: Bar/23 6/2* 

1.  XG Roller++  Bar/23 6/2*  eq: +0.324 
 Player: Opponent:  61.39% (G:26.99% B:3.25%) 38.61% (G:10.30% B:0.43%)  

2.  XG Roller++  Bar/23 12/8  eq: +0.196 (0.128) 
 Player: Opponent:  58.30% (G:23.40% B:2.44%) 41.70% (G:11.58% B:0.42%)  

3.  4ply  Bar/23 8/4  eq: +0.094 (0.230) 
 Player: Opponent:  54.53% (G:23.78% B:3.05%) 45.47% (G:14.76% B:0.59%)  

4.  4ply  Bar/23 13/9  eq: +0.054 (0.270) 
 Player: Opponent:  53.83% (G:22.39% B:2.56%) 46.17% (G:14.91% B:0.80%)  




61: Bar/24 8/2* 

1.  XG Roller++  Bar/24 14/8  eq: 0.342 
 Player: Opponent:  36.32% (G:9.06% B:0.36%) 63.68% (G:23.15% B:2.40%)  

2.  XG Roller++  Bar/24 8/2*  eq: 0.397 (0.055) 
 Player: Opponent:  36.13% (G:10.21% B:0.48%) 63.87% (G:27.93% B:3.59%)  

3.  4ply  Bar/18  eq: 0.508 (0.167) 
 Player: Opponent:  35.25% (G:7.53% B:0.34%) 64.75% (G:33.87% B:5.00%)  

4.  4ply  Bar/24 20/14  eq: 0.531 (0.189) 
 Player: Opponent:  33.53% (G:8.03% B:0.37%) 66.47% (G:31.68% B:4.58%)  




11: Bar/23* 4/2 

1.  XG Roller++  Bar/24 12/11* 4/2  eq: +0.784 
 Player: Opponent:  72.58% (G:38.63% B:5.70%) 27.42% (G:4.22% B:0.17%)  

2.  XG Roller++  Bar/23* 4/2  eq: +0.779 (0.005) 
 Player: Opponent:  71.27% (G:40.34% B:6.26%) 28.73% (G:3.44% B:0.12%)  

3.  XG Roller++  Bar/23* 12/11*(2)  eq: +0.659 (0.125) 
 Player: Opponent:  68.29% (G:37.55% B:5.53%) 31.71% (G:4.94% B:0.20%)  

4.  4ply  Bar/23* 13/11*  eq: +0.609 (0.175) 
 Player: Opponent:  66.86% (G:37.16% B:5.57%) 33.14% (G:6.11% B:0.29%)  

5.  4ply  Bar/23* 12/11* 11/10  eq: +0.608 (0.176) 
 Player: Opponent:  66.74% (G:37.26% B:5.71%) 33.26% (G:6.07% B:0.30%)  




41: Bar/20 

1.  XG Roller++  Bar/20  eq: 0.682 
 Player: Opponent:  30.36% (G:3.69% B:0.12%) 69.64% (G:36.41% B:5.04%)  

2.  XG Roller++  Bar/24 14/10  eq: 0.767 (0.086) 
 Player: Opponent:  28.26% (G:4.02% B:0.17%) 71.74% (G:38.62% B:5.91%)  

3.  XG Roller++  Bar/24 20/16  eq: 1.399 (0.718) 
 Player: Opponent:  18.66% (G:2.17% B:0.15%) 81.34% (G:60.68% B:19.10%)  

4.  4ply  Bar/24 6/2*  eq: 0.867 (0.186) 
 Player: Opponent:  27.00% (G:3.52% B:0.13%) 73.00% (G:43.46% B:7.80%)  




52: 13/11* 11/6 

1.  XG Roller++  23/18 13/11*  eq: +0.764 
 Player: Opponent:  71.13% (G:39.98% B:5.62%) 28.87% (G:3.39% B:0.12%)  

2.  XG Roller++  13/11* 11/6  eq: +0.759 (0.005) 
 Player: Opponent:  70.36% (G:40.78% B:5.97%) 29.64% (G:3.12% B:0.10%)  

3.  XG Roller++  13/8 13/11*  eq: +0.733 (0.031) 
 Player: Opponent:  69.87% (G:39.84% B:5.83%) 30.13% (G:3.48% B:0.12%)  

4.  XG Roller++  13/11* 12/7  eq: +0.680 (0.084) 
 Player: Opponent:  68.67% (G:38.90% B:5.74%) 31.33% (G:5.37% B:0.35%)  

5.  4ply  13/11* 8/3  eq: +0.561 (0.203) 
 Player: Opponent:  64.97% (G:37.37% B:5.63%) 35.03% (G:6.33% B:0.31%)  




52: Bar/20 6/4 

1.  XG Roller++  Bar/20 6/4  eq: 0.708 
 Player: Opponent:  29.88% (G:3.35% B:0.11%) 70.12% (G:37.40% B:5.14%)  

2.  XG Roller++  Bar/18  eq: 0.716 (0.009) 
 Player: Opponent:  31.46% (G:3.70% B:0.14%) 68.54% (G:40.89% B:6.45%)  

3.  4ply  Bar/20 3/1  eq: 0.905 (0.198) 
 Player: Opponent:  25.90% (G:2.03% B:0.05%) 74.10% (G:44.46% B:6.86%)  

4.  4ply  Bar/20 4/2*  eq: 0.924 (0.216) 
 Player: Opponent:  27.13% (G:2.11% B:0.06%) 72.87% (G:47.57% B:8.46%)  




65: 13/7 12/7 

1.  XG Roller++  23/17 13/8  eq: +0.748 
 Player: Opponent:  70.98% (G:38.54% B:5.10%) 29.02% (G:2.52% B:0.08%)  

2.  XG Roller++  13/7 12/7  eq: +0.745 (0.002) 
 Player: Opponent:  71.69% (G:37.19% B:4.94%) 28.31% (G:3.04% B:0.11%)  

3.  XG Roller++  23/12  eq: +0.727 (0.020) 
 Player: Opponent:  71.21% (G:36.60% B:4.69%) 28.79% (G:2.67% B:0.08%)  

4.  XG Roller++  23/18 13/7  eq: +0.646 (0.102) 
 Player: Opponent:  69.25% (G:34.56% B:4.38%) 30.75% (G:4.20% B:0.15%)  

5.  XG Roller++  23/18 12/6  eq: +0.639 (0.109) 
 Player: Opponent:  67.86% (G:36.83% B:4.96%) 32.14% (G:4.52% B:0.20%)  




22: 6/2* 3/1(2) 

1.  XG Roller++  6/2* 3/1(2)  eq: 1.052 
 Player: Opponent:  20.84% (G:1.41% B:0.02%) 79.16% (G:46.21% B:6.56%)  

2.  XG Roller++  6/2*(2)  eq: 1.071 (0.019) 
 Player: Opponent:  21.14% (G:1.32% B:0.04%) 78.86% (G:47.95% B:7.27%)  

3.  XG Roller++  6/2* 4/2 3/1  eq: 1.073 (0.021) 
 Player: Opponent:  22.23% (G:1.37% B:0.03%) 77.77% (G:49.79% B:8.22%)  

4.  XG Roller++  4/2*(2) 3/1(2)  eq: 1.079 (0.027) 
 Player: Opponent:  20.29% (G:1.28% B:0.02%) 79.71% (G:47.14% B:6.78%)  

5.  XG Roller++  6/2* 4/2(2)  eq: 1.098 (0.046) 
 Player: Opponent:  20.23% (G:1.20% B:0.02%) 79.77% (G:48.24% B:7.30%)  




42: Bar/23* 12/8 

1.  XG Roller++  Bar/23* 12/8  eq: +1.142 
 Player: Opponent:  79.17% (G:52.98% B:8.05%) 20.83% (G:1.10% B:0.02%)  

2.  XG Roller++  Bar/23* 8/4  eq: +1.101 (0.041) 
 Player: Opponent:  78.00% (G:51.94% B:8.32%) 22.00% (G:1.58% B:0.04%)  

3.  XG Roller++  Bar/23* 6/2  eq: +1.088 (0.054) 
 Player: Opponent:  77.45% (G:52.39% B:7.85%) 22.55% (G:1.46% B:0.04%)  

4.  XG Roller++  Bar/23* 7/3  eq: +1.019 (0.123) 
 Player: Opponent:  76.19% (G:49.52% B:7.54%) 23.81% (G:2.15% B:0.06%)  




44: Cannot Move 

1.  3ply  Cannot Move  eq: 1.177 
 Player: Opponent:  20.90% (G:0.97% B:0.02%) 79.10% (G:55.65% B:8.88%)  




31: 23/20 8/7 

1.  XG Roller++  23/20 8/7  eq: +1.169 
 Player: Opponent:  79.33% (G:54.62% B:8.54%) 20.67% (G:1.02% B:0.02%)  

2.  XG Roller++  8/4  eq: +1.164 (0.005) 
 Player: Opponent:  79.32% (G:54.17% B:8.53%) 20.68% (G:1.06% B:0.02%)  

3.  XG Roller++  7/6 7/4  eq: +1.133 (0.036) 
 Player: Opponent:  78.17% (G:53.81% B:8.66%) 21.83% (G:1.15% B:0.03%)  

4.  XG Roller++  23/22 6/3  eq: +1.123 (0.046) 
 Player: Opponent:  78.28% (G:53.42% B:8.10%) 21.72% (G:1.35% B:0.03%)  

5.  XG Roller++  8/7 6/3  eq: +1.123 (0.046) 
 Player: Opponent:  78.32% (G:53.29% B:8.08%) 21.68% (G:1.33% B:0.03%)  




21: Bar/24 4/2 

1.  XG Roller++  Bar/24 4/2  eq: 1.234 
 Player: Opponent:  19.39% (G:0.83% B:0.02%) 80.61% (G:56.77% B:9.37%)  

2.  XG Roller++  Bar/24 6/4  eq: 1.363 (0.129) 
 Player: Opponent:  16.84% (G:0.60% B:0.01%) 83.16% (G:61.55% B:10.65%)  




31: 20/17 7/6 

1.  XG Roller++  20/16  eq: +1.227 
 Player: Opponent:  80.84% (G:55.98% B:8.97%) 19.16% (G:0.83% B:0.02%)  

2.  XG Roller++  20/17 7/6  eq: +1.224 (0.003) 
 Player: Opponent:  80.78% (G:55.80% B:8.97%) 19.22% (G:0.83% B:0.02%)  

3.  XG Roller++  7/3  eq: +1.205 (0.023) 
 Player: Opponent:  80.29% (G:55.29% B:8.90%) 19.71% (G:1.00% B:0.02%)  

4.  XG Roller++  6/2  eq: +1.155 (0.073) 
 Player: Opponent:  78.98% (G:54.37% B:8.29%) 21.02% (G:1.19% B:0.03%)  

5.  XG Roller++  8/4  eq: +1.153 (0.074) 
 Player: Opponent:  79.15% (G:53.15% B:8.98%) 20.85% (G:1.25% B:0.03%)  




61: 20/13 

1.  XG Roller++  20/13  eq: 1.232 
 Player: Opponent:  19.90% (G:0.76% B:0.01%) 80.10% (G:56.86% B:10.06%)  

2.  XG Roller++  20/14 6/5  eq: 1.307 (0.075) 
 Player: Opponent:  18.51% (G:0.62% B:0.01%) 81.49% (G:59.52% B:11.17%)  

3.  XG Roller++  20/14 4/3  eq: 1.329 (0.097) 
 Player: Opponent:  18.19% (G:0.60% B:0.01%) 81.81% (G:60.43% B:11.59%)  

4.  XG Roller++  20/14 2/1  eq: 1.344 (0.113) 
 Player: Opponent:  15.40% (G:0.57% B:0.01%) 84.60% (G:57.92% B:9.01%)  




64: 17/7 

1.  XG Roller++  17/7  eq: +1.126 
 Player: Opponent:  78.36% (G:53.08% B:7.73%) 21.64% (G:0.77% B:0.02%)  

2.  XG Roller++  8/4 8/2  eq: +1.112 (0.014) 
 Player: Opponent:  77.65% (G:52.69% B:8.62%) 22.35% (G:1.11% B:0.02%)  

3.  XG Roller++  17/11 8/4  eq: +1.095 (0.031) 
 Player: Opponent:  77.90% (G:50.74% B:8.76%) 22.10% (G:1.56% B:0.04%)  

4.  XG Roller++  17/11 6/2  eq: +1.061 (0.065) 
 Player: Opponent:  76.77% (G:51.24% B:7.64%) 23.23% (G:1.27% B:0.03%)  

5.  XG Roller++  17/13 8/2  eq: +1.040 (0.086) 
 Player: Opponent:  76.31% (G:50.13% B:8.05%) 23.69% (G:1.68% B:0.04%)  




62: 20/14 13/11 

1.  XG Roller++  20/14 13/11  eq: 1.143 
 Player: Opponent:  21.31% (G:0.74% B:0.01%) 78.69% (G:53.41% B:8.13%)  

2.  XG Roller++  20/12  eq: 1.147 (0.004) 
 Player: Opponent:  21.25% (G:0.73% B:0.01%) 78.75% (G:53.56% B:8.19%)  

3.  XG Roller++  20/14 4/2  eq: 1.151 (0.008) 
 Player: Opponent:  21.16% (G:0.69% B:0.01%) 78.84% (G:53.75% B:8.24%)  

4.  XG Roller++  13/5  eq: 1.160 (0.017) 
 Player: Opponent:  21.01% (G:0.73% B:0.01%) 78.99% (G:54.15% B:8.35%)  

5.  XG Roller++  13/7 4/2  eq: 1.168 (0.025) 
 Player: Opponent:  20.74% (G:0.68% B:0.01%) 79.26% (G:54.27% B:8.31%)  




51: 8/7 8/3 

1.  XG Roller++  8/7 8/3  eq: +1.119 
 Player: Opponent:  78.62% (G:52.12% B:7.20%) 21.38% (G:0.62% B:0.01%)  

2.  XG Roller++  8/3 7/6  eq: +1.118 (0.001) 
 Player: Opponent:  78.21% (G:52.28% B:7.89%) 21.79% (G:0.69% B:0.01%)  

3.  XG Roller++  8/2  eq: +1.069 (0.050) 
 Player: Opponent:  76.97% (G:51.36% B:7.17%) 23.03% (G:0.79% B:0.02%)  

4.  4ply  7/6 7/2  eq: +0.988 (0.130) 
 Player: Opponent:  75.13% (G:48.40% B:7.63%) 24.87% (G:1.67% B:0.03%)  

5.  4ply  7/2 4/3  eq: +0.867 (0.252) 
 Player: Opponent:  72.40% (G:45.69% B:6.15%) 27.60% (G:2.58% B:0.06%)  




41: 24/20 14/13 

1.  XG Roller++  24/20 14/13  eq: 1.108 
 Player: Opponent:  22.10% (G:0.68% B:0.01%) 77.90% (G:52.68% B:7.56%)  

2.  XG Roller++  24/20 6/5  eq: 1.114 (0.006) 
 Player: Opponent:  21.92% (G:0.65% B:0.01%) 78.08% (G:52.77% B:7.60%)  

3.  XG Roller++  24/20 11/10  eq: 1.117 (0.009) 
 Player: Opponent:  21.79% (G:0.64% B:0.00%) 78.21% (G:52.77% B:7.59%)  

4.  XG Roller++  24/20 4/3  eq: 1.150 (0.042) 
 Player: Opponent:  21.15% (G:0.60% B:0.00%) 78.85% (G:54.02% B:7.97%)  

5.  XG Roller++  14/13 6/2  eq: 1.166 (0.058) 
 Player: Opponent:  20.72% (G:0.52% B:0.01%) 79.28% (G:54.12% B:8.00%)  




43: 7/4 7/3 

1.  XG Roller++  7/4 7/3  eq: +1.149 
 Player: Opponent:  78.61% (G:54.39% B:7.89%) 21.39% (G:0.57% B:0.01%)  

2.  XG Roller++  7/4 6/2  eq: +1.037 (0.112) 
 Player: Opponent:  75.92% (G:51.48% B:6.67%) 24.08% (G:1.01% B:0.02%)  

3.  XG Roller++  7/3 6/3  eq: +1.029 (0.120) 
 Player: Opponent:  75.80% (G:51.03% B:6.62%) 24.20% (G:1.06% B:0.02%)  

4.  4ply  6/3 6/2  eq: +0.913 (0.236) 
 Player: Opponent:  73.26% (G:48.51% B:5.49%) 26.74% (G:2.11% B:0.03%)  




66: 20/8 13/7 11/5 

1.  XG Roller++  20/8 13/7 11/5  eq: 1.065 
 Player: Opponent:  20.65% (G:0.53% B:0.01%) 79.35% (G:46.43% B:5.55%)  

2.  XG Roller++  20/2 11/5  eq: 1.065 (0.001) 
 Player: Opponent:  20.52% (G:0.52% B:0.01%) 79.48% (G:46.29% B:5.43%)  

3.  XG Roller++  20/2 13/7  eq: 1.069 (0.004) 
 Player: Opponent:  20.33% (G:0.55% B:0.01%) 79.67% (G:46.24% B:5.42%)  

4.  XG Roller++  20/14 20/2  eq: 1.154 (0.089) 
 Player: Opponent:  19.32% (G:0.42% B:0.00%) 80.68% (G:50.45% B:6.59%)  

5.  XG Roller++  20/14(2) 20/8  eq: 1.164 (0.100) 
 Player: Opponent:  17.91% (G:0.29% B:0.00%) 82.09% (G:48.84% B:5.75%)  




61: 3/2 

1.  XG Roller++  3/2  eq: +0.963 
 Player: Opponent:  78.27% (G:40.32% B:4.17%) 21.73% (G:0.49% B:0.01%)  

2.  XG Roller++  4/3  eq: +0.953 (0.009) 
 Player: Opponent:  78.12% (G:39.90% B:4.11%) 21.88% (G:0.55% B:0.01%)  

3.  XG Roller++  7/6  eq: +0.874 (0.089) 
 Player: Opponent:  74.18% (G:40.41% B:5.34%) 25.82% (G:1.08% B:0.03%)  




31: 8/5 7/6 

1.  XG Roller++  8/5 7/6  eq: 0.987 
 Player: Opponent:  21.97% (G:0.61% B:0.01%) 78.03% (G:42.78% B:4.59%)  

2.  XG Roller++  7/6 5/2  eq: 1.026 (0.039) 
 Player: Opponent:  20.73% (G:0.52% B:0.01%) 79.27% (G:43.73% B:4.65%)  

3.  XG Roller++  8/5 4/3  eq: 1.027 (0.040) 
 Player: Opponent:  21.24% (G:0.53% B:0.01%) 78.76% (G:44.62% B:4.95%)  

4.  XG Roller++  8/7 5/2  eq: 1.032 (0.045) 
 Player: Opponent:  20.71% (G:0.53% B:0.01%) 79.29% (G:44.00% B:4.72%)  

5.  XG Roller++  7/3  eq: 1.033 (0.047) 
 Player: Opponent:  21.17% (G:0.52% B:0.01%) 78.83% (G:44.94% B:5.08%)  




54: 7/3 7/2 

1.  3ply  7/3 7/2  eq: +1.148 
 Player: Opponent:  81.44% (G:49.30% B:5.91%) 18.56% (G:0.04% B:0.00%)  

2.  3ply  7/2 6/2  eq: +0.533 (0.615) 
 Player: Opponent:  64.31% (G:33.89% B:3.72%) 35.69% (G:2.70% B:0.03%)  




51: 20/14 

1.  XG Roller++  20/14  eq: 1.220 
 Player: Opponent:  18.15% (G:0.00% B:0.00%) 81.85% (G:53.36% B:6.86%)  

2.  XG Roller++  20/15 6/5  eq: 1.221 (0.001) 
 Player: Opponent:  18.17% (G:0.00% B:0.00%) 81.83% (G:53.50% B:6.82%)  

3.  XG Roller++  20/15 4/3  eq: 1.233 (0.012) 
 Player: Opponent:  18.29% (G:0.00% B:0.00%) 81.71% (G:54.40% B:7.28%)  

4.  XG Roller++  20/15 5/4  eq: 1.245 (0.024) 
 Player: Opponent:  17.59% (G:0.00% B:0.00%) 82.41% (G:54.17% B:7.06%)  

5.  XG Roller++  20/15 2/1  eq: 1.320 (0.099) 
 Player: Opponent:  14.62% (G:0.00% B:0.00%) 85.38% (G:55.23% B:6.35%)  




61: 6/Off 3/2 

1.  XG Roller++  6/Off 3/2  eq: +1.127 
 Player: Opponent:  79.63% (G:50.41% B:5.86%) 20.37% (G:0.00% B:0.00%)  

2.  XG Roller++  6/Off 4/3  eq: +1.115 (0.013) 
 Player: Opponent:  79.34% (G:49.86% B:5.79%) 20.66% (G:0.00% B:0.00%)  

3.  4ply  6/5* 6/Off  eq: +0.869 (0.258) 
 Player: Opponent:  70.12% (G:45.95% B:7.23%) 29.88% (G:0.00% B:0.00%)  




66: 24/12 14/2 

1.  XG Roller++  24/18 20/8 14/8  eq: 0.980 
 Player: Opponent:  17.68% (G:0.00% B:0.00%) 82.32% (G:34.06% B:2.63%)  

2.  XG Roller++  24/18 20/2  eq: 0.985 (0.005) 
 Player: Opponent:  18.18% (G:0.00% B:0.00%) 81.82% (G:35.34% B:2.82%)  

3.  XG Roller++  24/12 20/8  eq: 0.989 (0.010) 
 Player: Opponent:  17.01% (G:0.00% B:0.00%) 82.99% (G:33.52% B:2.54%)  

4.  XG Roller++  24/6 20/14  eq: 0.992 (0.013) 
 Player: Opponent:  16.89% (G:0.00% B:0.00%) 83.11% (G:33.52% B:2.57%)  

5.  XG Roller++  24/6 14/8  eq: 0.994 (0.014) 
 Player: Opponent:  18.84% (G:0.00% B:0.00%) 81.16% (G:37.12% B:3.28%)  

6.  XG Roller++  24/12 14/2  eq: 0.997 (0.017) 
 Player: Opponent:  19.29% (G:0.00% B:0.00%) 80.71% (G:38.22% B:3.43%)  




62: 6/Off 2/Off 

1.  4ply  6/Off 2/Off  eq: +1.075 
 Player: Opponent:  82.61% (G:41.14% B:3.66%) 17.39% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/2  eq: +0.875 (0.200) 
 Player: Opponent:  77.96% (G:33.90% B:2.40%) 22.04% (G:0.00% B:0.00%)  

3.  2ply  6/4 6/Off  eq: +0.296 (0.779) 
 Player: Opponent:  58.92% (G:22.24% B:1.40%) 41.08% (G:0.00% B:0.00%)  




65: 20/9 

1.  XG Roller++  20/9  eq: 1.049 
 Player: Opponent:  16.35% (G:0.00% B:0.00%) 83.65% (G:37.13% B:2.90%)  

2.  XG Roller++  20/15 12/6  eq: 1.059 (0.011) 
 Player: Opponent:  15.27% (G:0.00% B:0.00%) 84.73% (G:36.06% B:2.64%)  

3.  XG Roller++  20/14 12/7  eq: 1.060 (0.011) 
 Player: Opponent:  15.95% (G:0.00% B:0.00%) 84.05% (G:37.30% B:2.87%)  

4.  XG Roller++  12/1  eq: 1.166 (0.117) 
 Player: Opponent:  13.89% (G:0.00% B:0.00%) 86.11% (G:42.04% B:3.43%)  

5.  XG Roller++  20/14 6/1  eq: 1.171 (0.122) 
 Player: Opponent:  13.45% (G:0.00% B:0.00%) 86.55% (G:41.78% B:3.19%)  




41: 4/Off 3/2 

1.  4ply  4/Off 3/2  eq: +0.861 
 Player: Opponent:  78.30% (G:31.90% B:2.31%) 21.70% (G:0.00% B:0.00%)  

2.  4ply  6/5 6/2  eq: +0.663 (0.198) 
 Player: Opponent:  72.94% (G:25.49% B:1.47%) 27.06% (G:0.00% B:0.00%)  

3.  3ply  6/2 4/3  eq: +0.485 (0.376) 
 Player: Opponent:  67.03% (G:22.21% B:1.37%) 32.97% (G:0.00% B:0.00%)  

4.  3ply  6/2 3/2  eq: +0.470 (0.392) 
 Player: Opponent:  66.20% (G:22.50% B:1.46%) 33.80% (G:0.00% B:0.00%)  

5.  3ply  4/3 4/Off  eq: +0.421 (0.440) 
 Player: Opponent:  63.43% (G:23.94% B:1.34%) 36.57% (G:0.00% B:0.00%)  




63: 12/3 

1.  XG Roller++  9/3 6/3  eq: 0.806 
 Player: Opponent:  23.76% (G:0.00% B:0.00%) 76.24% (G:31.57% B:2.16%)  

2.  XG Roller++  12/3  eq: 0.829 (0.024) 
 Player: Opponent:  22.20% (G:0.00% B:0.00%) 77.80% (G:31.02% B:2.07%)  

3.  XG Roller++  12/6 9/6  eq: 0.898 (0.093) 
 Player: Opponent:  17.03% (G:0.00% B:0.00%) 82.97% (G:26.26% B:1.42%)  

4.  XG Roller++  24/15  eq: 0.964 (0.158) 
 Player: Opponent:  16.63% (G:0.00% B:0.00%) 83.37% (G:32.38% B:0.74%)  

5.  4ply  24/18 12/9  eq: 0.973 (0.167) 
 Player: Opponent:  16.68% (G:0.00% B:0.00%) 83.32% (G:32.82% B:0.83%)  




61: 6/5 6/Off 

1.  3ply  6/5 6/Off  eq: +0.486 
 Player: Opponent:  65.80% (G:26.19% B:1.66%) 34.20% (G:0.00% B:0.00%)  

2.  3ply  6/Off 4/3  eq: 0.090 (0.576) 
 Player: Opponent:  42.73% (G:15.24% B:0.93%) 57.27% (G:0.00% B:0.00%)  

3.  2ply  6/Off 3/2  eq: 0.252 (0.738) 
 Player: Opponent:  37.15% (G:11.75% B:0.73%) 62.85% (G:0.00% B:0.00%)  




65: 24/13 

1.  XG Roller++  24/13  eq: 0.927 
 Player: Opponent:  15.64% (G:0.00% B:0.00%) 84.36% (G:26.50% B:0.75%)  

2.  XG Roller++  24/19 9/3  eq: 0.949 (0.022) 
 Player: Opponent:  16.81% (G:0.00% B:0.00%) 83.19% (G:30.61% B:1.11%)  

3.  XG Roller++  24/18 9/4  eq: 0.976 (0.049) 
 Player: Opponent:  15.19% (G:0.00% B:0.00%) 84.81% (G:29.78% B:0.97%)  

4.  XG Roller++  9/3 6/1  eq: 1.071 (0.143) 
 Player: Opponent:  16.14% (G:0.00% B:0.00%) 83.86% (G:38.65% B:2.73%)  

5.  XG Roller++  24/19 24/18  eq: 1.395 (0.468) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:36.76% B:0.00%)  




63: 5/2 4/Off 

1.  XG Roller++  5/Off 3/Off  eq: +0.628 
 Player: Opponent:  74.08% (G:20.79% B:0.59%) 25.92% (G:0.00% B:0.00%)  

2.  XG Roller++  5/2 4/Off  eq: +0.573 (0.055) 
 Player: Opponent:  73.42% (G:17.04% B:0.71%) 26.58% (G:0.00% B:0.00%)  

3.  3ply  5/Off 4/1*  eq: +0.149 (0.479) 
 Player: Opponent:  55.56% (G:15.64% B:0.18%) 44.44% (G:0.00% B:0.00%)  




53: 24/21* 13/8 

1.  XG Roller++  24/21* 13/8  eq: +0.490 
 Player: Opponent:  67.55% (G:0.00% B:0.00%) 32.45% (G:7.52% B:0.43%)  

2.  XG Roller++  24/21* 21/16  eq: +0.471 (0.019) 
 Player: Opponent:  66.53% (G:0.00% B:0.00%) 33.47% (G:7.24% B:0.40%)  

3.  XG Roller++  24/21* 9/4  eq: +0.434 (0.056) 
 Player: Opponent:  64.98% (G:0.00% B:0.00%) 35.02% (G:6.70% B:0.29%)  

4.  XG Roller++  24/19 9/6  eq: 1.255 (1.745) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:23.71% B:0.00%)  

5.  4ply  24/21* 6/1  eq: +0.281 (0.209) 
 Player: Opponent:  60.04% (G:0.00% B:0.00%) 39.96% (G:9.99% B:0.54%)  




43: Bar/22* 22/18 

1.  3ply  Bar/22* 22/18  eq: +0.170 
 Player: Opponent:  54.63% (G:20.60% B:0.80%) 45.37% (G:0.00% B:0.00%)  




61: Bar/19 8/7* 

1.  3ply  Bar/19 8/7*  eq: +0.361 
 Player: Opponent:  62.40% (G:0.00% B:0.00%) 37.60% (G:8.35% B:0.26%)  

2.  2ply  Bar/19 9/8  eq: 0.344 (0.705) 
 Player: Opponent:  36.94% (G:0.00% B:0.00%) 63.06% (G:18.94% B:0.24%)  

3.  2ply  Bar/24 9/3  eq: 0.519 (0.879) 
 Player: Opponent:  34.23% (G:0.00% B:0.00%) 65.77% (G:28.13% B:1.73%)  

4.  2ply  Bar/19 21/20  eq: 0.589 (0.950) 
 Player: Opponent:  33.60% (G:0.00% B:0.00%) 66.40% (G:34.13% B:0.94%)  

5.  2ply  Bar/19 6/5  eq: 0.620 (0.981) 
 Player: Opponent:  32.87% (G:0.00% B:0.00%) 67.13% (G:35.39% B:1.04%)  




62: Cannot Move 

1.  3ply  Cannot Move  eq: 0.485 
 Player: Opponent:  33.46% (G:5.59% B:0.27%) 66.54% (G:0.00% B:0.00%)  




62: 19/13 7/5 

1.  XG Roller++  9/3 7/5  eq: +0.458 
 Player: Opponent:  66.24% (G:0.00% B:0.00%) 33.76% (G:7.28% B:0.26%)  

2.  XG Roller++  19/13 7/5  eq: +0.440 (0.019) 
 Player: Opponent:  64.66% (G:0.00% B:0.00%) 35.34% (G:5.70% B:0.28%)  

3.  XG Roller++  19/17 9/3  eq: +0.439 (0.019) 
 Player: Opponent:  65.97% (G:0.00% B:0.00%) 34.03% (G:8.51% B:0.45%)  

4.  XG Roller++  19/11  eq: +0.419 (0.039) 
 Player: Opponent:  64.13% (G:0.00% B:0.00%) 35.87% (G:6.38% B:0.33%)  

5.  XG Roller++  21/15 7/5  eq: +0.413 (0.046) 
 Player: Opponent:  63.55% (G:0.00% B:0.00%) 36.45% (G:5.80% B:0.28%)  




22: Cannot Move 

1.  3ply  Cannot Move  eq: 0.537 
 Player: Opponent:  31.94% (G:4.10% B:0.19%) 68.06% (G:0.00% B:0.00%)  




51: 21/20 13/8 

1.  XG Roller++  9/3  eq: +0.470 
 Player: Opponent:  66.24% (G:0.00% B:0.00%) 33.76% (G:6.64% B:0.28%)  

2.  XG Roller++  21/15  eq: +0.440 (0.030) 
 Player: Opponent:  64.13% (G:0.00% B:0.00%) 35.87% (G:4.48% B:0.23%)  

3.  XG Roller++  21/20 13/8  eq: +0.439 (0.031) 
 Player: Opponent:  64.08% (G:0.00% B:0.00%) 35.92% (G:4.55% B:0.17%)  

4.  XG Roller++  13/8 5/4  eq: +0.430 (0.041) 
 Player: Opponent:  63.81% (G:0.00% B:0.00%) 36.19% (G:4.69% B:0.17%)  

5.  XG Roller++  13/7  eq: +0.429 (0.041) 
 Player: Opponent:  63.63% (G:0.00% B:0.00%) 36.37% (G:4.59% B:0.17%)  




62: Cannot Move 

1.  3ply  Cannot Move  eq: 0.570 
 Player: Opponent:  30.76% (G:3.53% B:0.15%) 69.24% (G:0.00% B:0.00%)  




52: 8/3 5/3 

1.  4ply  8/3 5/3  eq: +0.717 
 Player: Opponent:  74.01% (G:0.00% B:0.00%) 25.99% (G:0.02% B:0.00%)  

2.  4ply  20/18 8/3  eq: +0.507 (0.210) 
 Player: Opponent:  67.06% (G:0.00% B:0.00%) 32.94% (G:5.01% B:0.20%)  

3.  4ply  20/15 5/3  eq: +0.475 (0.242) 
 Player: Opponent:  67.05% (G:0.00% B:0.00%) 32.95% (G:7.50% B:0.48%)  

4.  4ply  9/7 8/3  eq: +0.460 (0.257) 
 Player: Opponent:  65.32% (G:0.00% B:0.00%) 34.68% (G:5.55% B:0.20%)  

5.  4ply  20/13  eq: +0.457 (0.260) 
 Player: Opponent:  64.40% (G:0.00% B:0.00%) 35.60% (G:3.55% B:0.12%)  




32: Cannot Move 

1.  3ply  Cannot Move  eq: 0.719 
 Player: Opponent:  25.77% (G:0.04% B:0.00%) 74.23% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
73.96% (G:0.00% B:0.00%) 
73.96% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
26.04% (G:0.00% B:0.00%) 
26.04% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.479 
+0.946 
Cubeful Equities 
No redouble:  +0.771  
Redouble/Take:  +0.708 (0.063)  
Redouble/Pass:  +1.000 (+0.229) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 17.7% 



62: 20/14 9/7 

1.  XG Roller++  20/12  eq: +0.748 
 Player: Opponent:  74.10% (G:0.00% B:0.00%) 25.90% (G:0.00% B:0.00%)  

2.  XG Roller++  20/14 9/7  eq: +0.734 (0.013) 
 Player: Opponent:  73.69% (G:0.00% B:0.00%) 26.31% (G:0.00% B:0.00%)  

3.  XG Roller++  20/18 9/3  eq: +0.706 (0.042) 
 Player: Opponent:  72.63% (G:0.00% B:0.00%) 27.37% (G:0.00% B:0.00%)  

4.  XG Roller++  20/14 6/4  eq: +0.694 (0.054) 
 Player: Opponent:  72.04% (G:0.00% B:0.00%) 27.96% (G:0.00% B:0.00%)  

5.  XG Roller++  9/3 6/4  eq: +0.654 (0.094) 
 Player: Opponent:  70.58% (G:0.00% B:0.00%) 29.42% (G:0.00% B:0.00%)  




41: Cannot Move 

1.  3ply  Cannot Move  eq: 0.711 
 Player: Opponent:  26.12% (G:0.01% B:0.00%) 73.88% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
73.58% (G:0.00% B:0.00%) 
73.75% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
26.42% (G:0.00% B:0.00%) 
26.25% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.472 
+0.938 
Cubeful Equities 
No redouble:  +0.765  
Redouble/Take:  +0.706 (0.059)  
Redouble/Pass:  +1.000 (+0.235) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 16.7% 



63: 14/5 

1.  XG Roller++  14/5  eq: +0.790 
 Player: Opponent:  74.51% (G:0.00% B:0.00%) 25.49% (G:0.00% B:0.00%)  

2.  XG Roller++  14/8 7/4  eq: +0.781 (0.009) 
 Player: Opponent:  74.27% (G:0.00% B:0.00%) 25.73% (G:0.00% B:0.00%)  

3.  XG Roller++  14/11 7/1  eq: +0.678 (0.112) 
 Player: Opponent:  70.60% (G:0.00% B:0.00%) 29.40% (G:0.00% B:0.00%)  

4.  XG Roller++  14/8 6/3  eq: +0.661 (0.130) 
 Player: Opponent:  69.91% (G:0.00% B:0.00%) 30.09% (G:0.00% B:0.00%)  

5.  4ply  7/1 6/3  eq: +0.588 (0.202) 
 Player: Opponent:  68.32% (G:0.00% B:0.00%) 31.68% (G:0.00% B:0.00%)  




63: Cannot Move 

1.  3ply  Cannot Move  eq: 0.751 
 Player: Opponent:  25.26% (G:0.00% B:0.00%) 74.74% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.70% (G:0.00% B:0.00%) 
74.80% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.30% (G:0.00% B:0.00%) 
25.20% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.494 
+0.981 
Cubeful Equities 
No redouble:  +0.801  
Redouble/Take:  +0.763 (0.038)  
Redouble/Pass:  +1.000 (+0.199) 

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



51: 7/1 

1.  XG Roller++  7/6 5/Off  eq: +0.823 
 Player: Opponent:  75.78% (G:0.00% B:0.00%) 24.22% (G:0.00% B:0.00%)  

2.  XG Roller++  7/1  eq: +0.743 (0.080) 
 Player: Opponent:  72.95% (G:0.00% B:0.00%) 27.05% (G:0.00% B:0.00%)  

3.  XG Roller++  7/2 5/4  eq: +0.723 (0.100) 
 Player: Opponent:  71.94% (G:0.00% B:0.00%) 28.06% (G:0.00% B:0.00%)  

4.  4ply  6/1 5/4  eq: +0.633 (0.190) 
 Player: Opponent:  69.37% (G:0.00% B:0.00%) 30.63% (G:0.00% B:0.00%)  

5.  4ply  7/2 6/5  eq: +0.629 (0.193) 
 Player: Opponent:  69.52% (G:0.00% B:0.00%) 30.48% (G:0.00% B:0.00%)  




41: Cannot Move 

1.  3ply  Cannot Move  eq: 0.699 
 Player: Opponent:  26.76% (G:0.00% B:0.00%) 73.24% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
73.20% (G:0.00% B:0.00%) 
73.44% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
26.80% (G:0.00% B:0.00%) 
26.56% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.464 
+0.925 
Cubeful Equities 
No redouble:  +0.749  
Redouble/Take:  +0.691 (0.057)  
Redouble/Pass:  +1.000 (+0.251) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 15.6% 



65: 6/Off 5/Off 

1.  3ply  6/Off 5/Off  eq: +0.949 
 Player: Opponent:  78.63% (G:0.00% B:0.00%) 21.37% (G:0.00% B:0.00%)  

2.  2ply  6/1 6/Off  eq: +0.268 (0.681) 
 Player: Opponent:  54.76% (G:0.00% B:0.00%) 45.24% (G:0.00% B:0.00%)  




31: Cannot Move 

1.  3ply  Cannot Move  eq: 0.949 
 Player: Opponent:  21.37% (G:0.00% B:0.00%) 78.63% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
78.72% (G:0.00% B:0.00%) 
79.00% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
21.28% (G:0.00% B:0.00%) 
21.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.574 
+1.152 
Cubeful Equities 
No redouble:  +0.850 (0.109)  
Redouble/Take:  +0.959  
Redouble/Pass:  +1.000 (+0.041) 

Best Cube action: Redouble / Take 



41: 4/3 4/Off 

1.  XG Roller++  4/3 4/Off  eq: +0.814 
 Player: Opponent:  74.25% (G:0.00% B:0.00%) 25.75% (G:0.00% B:0.00%)  

2.  XG Roller++  6/5 6/2  eq: +0.702 (0.112) 
 Player: Opponent:  70.05% (G:0.00% B:0.00%) 29.95% (G:0.00% B:0.00%)  

3.  4ply  4/Off 1/Off  eq: +0.630 (0.184) 
 Player: Opponent:  66.97% (G:0.00% B:0.00%) 33.03% (G:0.00% B:0.00%)  

4.  4ply  5/4 5/1  eq: +0.554 (0.260) 
 Player: Opponent:  66.27% (G:0.00% B:0.00%) 33.73% (G:0.00% B:0.00%)  

5.  4ply  6/2 1/Off  eq: +0.534 (0.280) 
 Player: Opponent:  62.62% (G:0.00% B:0.00%) 37.38% (G:0.00% B:0.00%)  




32: Cannot Move 

1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  19.47% (G:0.00% B:0.00%) 80.53% (G:0.00% B:0.00%)  




Double/Pass 

Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
80.28% (G:0.00% B:0.00%) 
80.43% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
19.72% (G:0.00% B:0.00%) 
19.57% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.606 
+1.211 
Cubeful Equities 
No redouble:  +0.844 (0.156)  
Redouble/Take:  +1.027 (+0.027)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 



Wins 2pts. 


