
63: 24/18 13/10 

1.  Book^{1}  24/18 13/10  eq: +0.008 
 Player: Opponent:  50.45% (G:13.44% B:0.68%) 49.55% (G:14.00% B:0.62%)  Conf.: ± 0.003 (+0.006...+0.011)  [100.0%] 

2.  Book^{1}  24/15  eq: 0.003 (0.011) 
 Player: Opponent:  50.34% (G:12.17% B:0.58%) 49.66% (G:13.57% B:0.53%)  Conf.: ± 0.002 (0.005...0.001)  [0.0%] 

3.  Book^{2}  24/21 13/7  eq: 0.057 (0.066) 
 Player: Opponent:  48.62% (G:13.86% B:0.68%) 51.38% (G:14.52% B:0.68%)  Conf.: ± 0.004 (0.061...0.054)  [0.0%] 

4.  Book^{2}  13/4  eq: 0.062 (0.070) 
 Player: Opponent:  48.42% (G:14.34% B:0.73%) 51.58% (G:14.75% B:0.81%)  Conf.: ± 0.004 (0.066...0.058)  [0.0%] 

5.  Book^{3}  24/21 24/18  eq: 0.083 (0.091) 
 Player: Opponent:  48.78% (G:11.15% B:0.51%) 51.22% (G:14.61% B:0.50%)  


^{1} Generated by Steven Carey on 31Jul12 using eXtreme Gammon 2.00 46656 Games rolled with Variance Reduction. Dice Seed: 5707414 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by Steven Carey on 31Jul12 using eXtreme Gammon 2.00 23328 Games rolled with Variance Reduction. Dice Seed: 5707414 Moves: 3ply, cube decisions: XG Roller
^{3} Generated by GameSite 2000, Ltd on 21May11 using eXtreme Gammon 2.00 Analyzed in XG Roller++




41: 13/9 8/7* 

1.  XG Roller++  24/20 8/7*  eq: 0.101 
 Player: Opponent:  47.50% (G:11.99% B:0.49%) 52.50% (G:13.85% B:0.64%)  

2.  XG Roller++  13/9 8/7*  eq: 0.108 (0.007) 
 Player: Opponent:  47.49% (G:13.01% B:0.59%) 52.51% (G:15.26% B:0.99%)  

3.  XG Roller++  8/7* 7/3  eq: 0.234 (0.133) 
 Player: Opponent:  44.73% (G:11.53% B:0.48%) 55.27% (G:16.65% B:0.97%)  

4.  XG Roller++  24/23 24/20  eq: 0.267 (0.166) 
 Player: Opponent:  43.24% (G:9.04% B:0.30%) 56.76% (G:13.28% B:0.49%)  

5.  4ply  13/8  eq: 0.276 (0.176) 
 Player: Opponent:  42.81% (G:10.07% B:0.32%) 57.19% (G:14.74% B:0.73%)  




64: Bar/21 24/18* 

1.  4ply  Bar/21 24/18*  eq: +0.235 
 Player: Opponent:  55.52% (G:16.66% B:1.19%) 44.48% (G:11.74% B:0.50%)  

2.  4ply  Bar/15  eq: 0.073 (0.308) 
 Player: Opponent:  48.94% (G:12.10% B:0.65%) 51.06% (G:15.58% B:0.64%)  

3.  3ply  Bar/21 10/4  eq: 0.186 (0.421) 
 Player: Opponent:  46.08% (G:12.42% B:0.71%) 53.92% (G:17.45% B:0.91%)  

4.  3ply  Bar/21 13/7  eq: 0.222 (0.457) 
 Player: Opponent:  45.51% (G:12.70% B:0.81%) 54.49% (G:18.88% B:1.30%)  

5.  3ply  Bar/21 8/2  eq: 0.336 (0.571) 
 Player: Opponent:  42.66% (G:11.57% B:0.69%) 57.34% (G:20.00% B:1.40%)  




54: Bar/21 9/4* 

1.  XG Roller++  Bar/20 24/20  eq: 0.237 
 Player: Opponent:  43.72% (G:10.77% B:0.33%) 56.28% (G:14.08% B:0.57%)  

2.  XG Roller++  Bar/20 13/9  eq: 0.260 (0.024) 
 Player: Opponent:  43.71% (G:11.32% B:0.42%) 56.29% (G:15.59% B:1.03%)  

3.  XG Roller++  Bar/21 9/4*  eq: 0.284 (0.047) 
 Player: Opponent:  43.44% (G:11.57% B:0.46%) 56.56% (G:17.02% B:1.29%)  

4.  XG Roller++  Bar/20 9/5  eq: 0.389 (0.152) 
 Player: Opponent:  41.04% (G:10.31% B:0.36%) 58.96% (G:17.72% B:1.38%)  

5.  4ply  Bar/21 13/8  eq: 0.432 (0.195) 
 Player: Opponent:  39.89% (G:9.93% B:0.42%) 60.11% (G:19.08% B:1.58%)  




61: Bar/18 

1.  XG Roller++  Bar/18  eq: +0.205 
 Player: Opponent:  55.61% (G:13.05% B:0.58%) 44.39% (G:10.80% B:0.35%)  

2.  XG Roller++  Bar/24 10/4*  eq: +0.132 (0.073) 
 Player: Opponent:  53.01% (G:16.10% B:1.18%) 46.99% (G:13.61% B:0.61%)  

3.  4ply  Bar/24 13/7  eq: 0.092 (0.297) 
 Player: Opponent:  48.61% (G:13.85% B:0.84%) 51.39% (G:17.35% B:1.17%)  

4.  3ply  Bar/24 8/2  eq: 0.199 (0.404) 
 Player: Opponent:  46.39% (G:12.45% B:0.72%) 53.61% (G:19.09% B:1.19%)  




61: 21/15* 4/3 

1.  XG Roller++  24/23 21/15*  eq: 0.255 
 Player: Opponent:  44.16% (G:10.78% B:0.36%) 55.84% (G:15.92% B:0.91%)  

2.  XG Roller++  21/15* 4/3  eq: 0.268 (0.014) 
 Player: Opponent:  43.85% (G:10.70% B:0.36%) 56.15% (G:16.08% B:0.97%)  

3.  XG Roller++  21/15* 15/14  eq: 0.276 (0.021) 
 Player: Opponent:  43.48% (G:10.57% B:0.35%) 56.52% (G:15.67% B:0.94%)  

4.  XG Roller++  21/15* 6/5  eq: 0.307 (0.052) 
 Player: Opponent:  43.48% (G:10.67% B:0.38%) 56.52% (G:17.84% B:1.43%)  

5.  4ply  24/18 6/5  eq: 0.491 (0.237) 
 Player: Opponent:  39.17% (G:9.02% B:0.36%) 60.83% (G:21.07% B:1.45%)  




53: Bar/20 13/10* 

1.  XG Roller++  Bar/22* 13/8  eq: +0.372 
 Player: Opponent:  58.05% (G:18.33% B:1.13%) 41.95% (G:9.65% B:0.33%)  

2.  XG Roller++  Bar/20 13/10*  eq: +0.295 (0.077) 
 Player: Opponent:  57.05% (G:16.16% B:0.92%) 42.95% (G:10.79% B:0.35%)  

3.  XG Roller++  Bar/22* 18/13  eq: +0.280 (0.093) 
 Player: Opponent:  56.12% (G:17.26% B:1.20%) 43.88% (G:11.07% B:0.41%)  

4.  4ply  Bar/22* 8/3  eq: +0.173 (0.199) 
 Player: Opponent:  53.93% (G:15.58% B:0.82%) 46.07% (G:11.54% B:0.38%)  

5.  3ply  Bar/20 8/5  eq: +0.035 (0.338) 
 Player: Opponent:  51.19% (G:13.24% B:0.68%) 48.81% (G:13.43% B:0.44%)  




44: Bar/21 24/20(2) 6/2 

1.  XG Roller++  Bar/21 24/20(2) 6/2  eq: 0.136 
 Player: Opponent:  45.18% (G:10.09% B:0.24%) 54.82% (G:9.25% B:0.33%)  

2.  XG Roller++  Bar/21 24/20(2) 13/9  eq: 0.165 (0.029) 
 Player: Opponent:  44.70% (G:10.56% B:0.32%) 55.30% (G:10.92% B:0.39%)  

3.  XG Roller++  Bar/21 24/20(2) 8/4  eq: 0.263 (0.127) 
 Player: Opponent:  42.63% (G:10.39% B:0.32%) 57.37% (G:13.38% B:0.52%)  

4.  4ply  Bar/21 24/20 13/5*  eq: 0.315 (0.179) 
 Player: Opponent:  42.87% (G:11.34% B:0.39%) 57.13% (G:18.14% B:1.39%)  

5.  4ply  Bar/21 24/20 13/9(2)  eq: 0.318 (0.183) 
 Player: Opponent:  42.21% (G:11.48% B:0.45%) 57.79% (G:17.00% B:1.10%)  




32: 13/10 6/4* 

1.  XG Roller++  13/10 6/4*  eq: +0.129 
 Player: Opponent:  54.68% (G:9.95% B:0.33%) 45.32% (G:11.15% B:0.32%)  

2.  XG Roller++  20/18 13/10  eq: +0.108 (0.021) 
 Player: Opponent:  53.93% (G:7.55% B:0.23%) 46.07% (G:8.55% B:0.22%)  

3.  XG Roller++  10/7 6/4*  eq: +0.027 (0.102) 
 Player: Opponent:  51.68% (G:10.32% B:0.36%) 48.32% (G:12.26% B:0.41%)  

4.  XG Roller++  13/10 8/6  eq: +0.005 (0.123) 
 Player: Opponent:  51.37% (G:8.64% B:0.27%) 48.63% (G:11.66% B:0.31%)  

5.  XG Roller++  10/8 6/3  eq: 0.018 (0.147) 
 Player: Opponent:  50.49% (G:8.21% B:0.24%) 49.51% (G:10.85% B:0.28%)  




21: Bar/23 3/2 

1.  XG Roller++  Bar/23 3/2  eq: 0.198 
 Player: Opponent:  43.57% (G:10.31% B:0.25%) 56.43% (G:10.41% B:0.39%)  

2.  XG Roller++  Bar/24 6/4  eq: 0.233 (0.035) 
 Player: Opponent:  42.51% (G:9.60% B:0.21%) 57.49% (G:10.19% B:0.38%)  

3.  XG Roller++  Bar/22  eq: 0.276 (0.078) 
 Player: Opponent:  41.46% (G:8.68% B:0.21%) 58.54% (G:9.99% B:0.37%)  

4.  XG Roller++  Bar/24 3/1  eq: 0.302 (0.105) 
 Player: Opponent:  40.65% (G:8.63% B:0.13%) 59.35% (G:9.94% B:0.40%)  

5.  XG Roller++  Bar/23 2/1  eq: 0.328 (0.130) 
 Player: Opponent:  40.16% (G:8.47% B:0.14%) 59.84% (G:10.30% B:0.41%)  




43: 20/13 

1.  XG Roller++  20/13  eq: +0.150 
 Player: Opponent:  55.06% (G:9.07% B:0.29%) 44.94% (G:9.73% B:0.25%)  

2.  XG Roller++  8/4 6/3  eq: +0.103 (0.047) 
 Player: Opponent:  53.96% (G:10.26% B:0.33%) 46.04% (G:11.93% B:0.33%)  

3.  XG Roller++  13/10 8/4  eq: +0.077 (0.073) 
 Player: Opponent:  53.35% (G:9.58% B:0.31%) 46.65% (G:11.74% B:0.29%)  

4.  XG Roller++  20/16 4/1  eq: +0.017 (0.133) 
 Player: Opponent:  51.84% (G:9.77% B:0.25%) 48.16% (G:12.84% B:0.39%)  

5.  4ply  10/7 8/4  eq: 0.056 (0.205) 
 Player: Opponent:  49.89% (G:11.65% B:0.44%) 50.11% (G:15.84% B:0.63%)  




65: 13/2 

1.  XG Roller++  13/2  eq: 0.347 
 Player: Opponent:  39.70% (G:7.43% B:0.13%) 60.30% (G:9.72% B:0.37%)  

2.  XG Roller++  8/3 8/2  eq: 0.447 (0.100) 
 Player: Opponent:  37.42% (G:7.36% B:0.12%) 62.58% (G:11.34% B:0.43%)  

3.  4ply  20/9  eq: 0.513 (0.166) 
 Player: Opponent:  37.18% (G:8.74% B:0.24%) 62.82% (G:18.05% B:0.82%)  

4.  4ply  20/14 13/8  eq: 0.518 (0.171) 
 Player: Opponent:  36.99% (G:8.10% B:0.20%) 63.01% (G:17.54% B:0.77%)  

5.  4ply  23/18 8/2  eq: 0.546 (0.198) 
 Player: Opponent:  34.93% (G:6.46% B:0.14%) 65.07% (G:12.25% B:0.45%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
60.36% (G:9.63% B:0.36%) 
60.31% (G:9.74% B:0.36%) 
Opponent Winning Chances: 
39.64% (G:7.45% B:0.13%) 
39.69% (G:7.44% B:0.13%) 
Cubeless Equities 
+0.231 
+0.466 
Cubeful Equities 
No double:  +0.351  
Double/Take:  +0.183 (0.168)  
Double/Pass:  +1.000 (+0.649) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.0% 



33: 18/15(2) 10/4 

1.  XG Roller++  10/4 6/3(2)  eq: +0.465 
 Player: Opponent:  62.48% (G:12.08% B:0.43%) 37.52% (G:6.97% B:0.14%)  

2.  XG Roller++  10/4(2)  eq: +0.377 (0.088) 
 Player: Opponent:  60.68% (G:9.14% B:0.25%) 39.32% (G:6.10% B:0.13%)  

3.  XG Roller++  18/15(2) 13/10 4/1  eq: +0.372 (0.093) 
 Player: Opponent:  61.59% (G:7.54% B:0.21%) 38.41% (G:7.01% B:0.12%)  

4.  XG Roller++  18/15(2) 10/4  eq: +0.372 (0.093) 
 Player: Opponent:  61.03% (G:9.29% B:0.39%) 38.97% (G:6.96% B:0.15%)  

5.  XG Roller++  10/7(2) 6/3(2)  eq: +0.364 (0.101) 
 Player: Opponent:  60.23% (G:10.64% B:0.35%) 39.77% (G:7.91% B:0.17%)  




31: 23/20 6/5 

1.  XG Roller++  23/20 6/5  eq: 0.441 
 Player: Opponent:  35.99% (G:3.66% B:0.05%) 64.01% (G:4.23% B:0.13%)  

2.  XG Roller++  23/20 2/1  eq: 0.452 (0.011) 
 Player: Opponent:  35.60% (G:3.77% B:0.04%) 64.40% (G:4.27% B:0.14%)  

3.  XG Roller++  23/20 8/7  eq: 0.466 (0.025) 
 Player: Opponent:  35.28% (G:3.33% B:0.04%) 64.72% (G:4.15% B:0.14%)  

4.  XG Roller++  8/5 6/5  eq: 0.479 (0.038) 
 Player: Opponent:  35.27% (G:5.17% B:0.06%) 64.73% (G:6.72% B:0.24%)  

5.  XG Roller++  8/5 2/1  eq: 0.532 (0.091) 
 Player: Opponent:  33.99% (G:5.20% B:0.05%) 66.01% (G:7.36% B:0.30%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.15% (G:4.28% B:0.10%) 
64.20% (G:4.25% B:0.10%) 
Opponent Winning Chances: 
35.85% (G:3.72% B:0.05%) 
35.80% (G:3.68% B:0.05%) 
Cubeless Equities 
+0.289 
+0.580 
Cubeful Equities 
No double:  +0.452  
Double/Take:  +0.329 (0.123)  
Double/Pass:  +1.000 (+0.548) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.5% 



42: 10/8 6/2 

1.  XG Roller++  10/4  eq: +0.341 
 Player: Opponent:  60.80% (G:4.24% B:0.11%) 39.20% (G:3.87% B:0.06%)  

2.  XG Roller++  10/8 6/2  eq: +0.331 (0.010) 
 Player: Opponent:  60.54% (G:4.13% B:0.10%) 39.46% (G:3.98% B:0.07%)  

3.  XG Roller++  10/6 4/2  eq: +0.310 (0.031) 
 Player: Opponent:  59.94% (G:4.27% B:0.11%) 40.06% (G:4.23% B:0.07%)  

4.  XG Roller++  10/6 8/6  eq: +0.304 (0.037) 
 Player: Opponent:  59.80% (G:4.38% B:0.11%) 40.20% (G:4.44% B:0.08%)  

5.  XG Roller++  13/9 10/8  eq: +0.289 (0.052) 
 Player: Opponent:  59.36% (G:6.17% B:0.20%) 40.64% (G:6.28% B:0.13%)  




43: 13/9 8/5 

1.  XG Roller++  8/5 8/4  eq: 0.357 
 Player: Opponent:  38.42% (G:4.24% B:0.05%) 61.58% (G:4.33% B:0.11%)  

2.  XG Roller++  20/13  eq: 0.359 (0.001) 
 Player: Opponent:  38.43% (G:4.09% B:0.06%) 61.57% (G:4.52% B:0.14%)  

3.  XG Roller++  13/9 8/5  eq: 0.360 (0.002) 
 Player: Opponent:  38.34% (G:4.15% B:0.05%) 61.66% (G:4.22% B:0.11%)  

4.  XG Roller++  20/16 8/5  eq: 0.385 (0.027) 
 Player: Opponent:  37.92% (G:5.16% B:0.07%) 62.08% (G:6.09% B:0.19%)  

5.  XG Roller++  13/9 6/3  eq: 0.398 (0.041) 
 Player: Opponent:  37.28% (G:4.08% B:0.05%) 62.72% (G:4.60% B:0.13%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.74% (G:4.45% B:0.11%) 
61.81% (G:4.35% B:0.11%) 
Opponent Winning Chances: 
38.26% (G:4.36% B:0.06%) 
38.19% (G:4.25% B:0.06%) 
Cubeless Equities 
+0.236 
+0.475 
Cubeful Equities 
No double:  +0.367  
Double/Take:  +0.207 (0.160)  
Double/Pass:  +1.000 (+0.633) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.8% 



65: 13/2 

1.  XG Roller++  13/2  eq: +0.354 
 Player: Opponent:  61.65% (G:5.29% B:0.14%) 38.35% (G:5.11% B:0.09%)  

2.  XG Roller++  8/3 8/2  eq: +0.343 (0.011) 
 Player: Opponent:  60.88% (G:5.85% B:0.17%) 39.12% (G:5.52% B:0.10%)  

3.  XG Roller++  8/2 6/1  eq: +0.285 (0.068) 
 Player: Opponent:  59.55% (G:5.31% B:0.12%) 40.45% (G:6.26% B:0.11%)  

4.  XG Roller++  13/7 8/3  eq: +0.180 (0.174) 
 Player: Opponent:  57.13% (G:6.77% B:0.24%) 42.87% (G:9.50% B:0.19%)  

5.  4ply  15/4  eq: +0.177 (0.177) 
 Player: Opponent:  57.01% (G:5.55% B:0.15%) 42.99% (G:8.72% B:0.15%)  




66: 20/14(2) 20/8 

1.  XG Roller++  20/14(2) 20/8  eq: +0.018 
 Player: Opponent:  50.52% (G:0.28% B:0.01%) 49.48% (G:0.33% B:0.00%)  

2.  XG Roller++  20/14(3) 9/3  eq: +0.008 (0.010) 
 Player: Opponent:  50.11% (G:0.46% B:0.01%) 49.89% (G:0.43% B:0.00%)  

3.  XG Roller++  20/14(3) 8/2  eq: 0.031 (0.048) 
 Player: Opponent:  48.85% (G:0.36% B:0.00%) 51.15% (G:0.46% B:0.00%)  

4.  XG Roller++  20/8 13/7(2)  eq: 0.097 (0.115) 
 Player: Opponent:  46.63% (G:4.13% B:0.06%) 53.37% (G:2.63% B:0.10%)  

5.  4ply  20/2 9/3  eq: 0.201 (0.219) 
 Player: Opponent:  43.37% (G:4.38% B:0.04%) 56.63% (G:4.69% B:0.13%)  




53: 13/10 13/8 

1.  XG Roller++  8/5 8/3  eq: 0.027 
 Player: Opponent:  48.98% (G:0.42% B:0.01%) 51.02% (G:0.32% B:0.00%)  

2.  XG Roller++  13/10 13/8  eq: 0.040 (0.013) 
 Player: Opponent:  48.56% (G:0.43% B:0.01%) 51.44% (G:0.38% B:0.01%)  

3.  XG Roller++  8/5 6/1  eq: 0.044 (0.018) 
 Player: Opponent:  48.35% (G:0.41% B:0.00%) 51.65% (G:0.35% B:0.01%)  

4.  XG Roller++  8/3 6/3  eq: 0.047 (0.020) 
 Player: Opponent:  48.30% (G:0.44% B:0.01%) 51.70% (G:0.37% B:0.00%)  

5.  XG Roller++  8/3 4/1  eq: 0.057 (0.031) 
 Player: Opponent:  47.94% (G:0.64% B:0.01%) 52.06% (G:0.69% B:0.03%)  




32: 9/4 

1.  XG Roller++  8/5 6/4  eq: 0.110 
 Player: Opponent:  45.98% (G:0.47% B:0.01%) 54.02% (G:0.50% B:0.01%)  

2.  XG Roller++  9/4  eq: 0.113 (0.003) 
 Player: Opponent:  45.89% (G:0.44% B:0.01%) 54.11% (G:0.49% B:0.01%)  

3.  XG Roller++  8/3  eq: 0.113 (0.003) 
 Player: Opponent:  45.87% (G:0.39% B:0.01%) 54.13% (G:0.46% B:0.00%)  

4.  XG Roller++  9/7 8/5  eq: 0.113 (0.003) 
 Player: Opponent:  45.85% (G:0.57% B:0.02%) 54.15% (G:0.55% B:0.01%)  

5.  XG Roller++  8/6 8/5  eq: 0.114 (0.004) 
 Player: Opponent:  45.90% (G:0.54% B:0.02%) 54.10% (G:0.63% B:0.01%)  




61: 10/4 8/7 

1.  XG Roller++  10/4 8/7  eq: +0.048 
 Player: Opponent:  51.81% (G:0.51% B:0.01%) 48.19% (G:0.38% B:0.01%)  

2.  XG Roller++  10/3  eq: +0.042 (0.005) 
 Player: Opponent:  51.56% (G:0.70% B:0.01%) 48.44% (G:0.56% B:0.01%)  

3.  XG Roller++  8/7 8/2  eq: +0.041 (0.007) 
 Player: Opponent:  51.54% (G:0.59% B:0.01%) 48.46% (G:0.56% B:0.01%)  

4.  XG Roller++  10/9 8/2  eq: +0.040 (0.008) 
 Player: Opponent:  51.45% (G:0.54% B:0.01%) 48.55% (G:0.37% B:0.01%)  

5.  XG Roller++  10/4 6/5  eq: +0.038 (0.010) 
 Player: Opponent:  51.45% (G:0.54% B:0.01%) 48.55% (G:0.52% B:0.01%)  




31: 8/4 

1.  XG Roller++  8/5 2/1  eq: 0.206 
 Player: Opponent:  42.43% (G:0.72% B:0.03%) 57.57% (G:0.84% B:0.02%)  

2.  XG Roller++  8/7 6/3  eq: 0.215 (0.009) 
 Player: Opponent:  42.03% (G:0.59% B:0.02%) 57.97% (G:0.71% B:0.01%)  

3.  XG Roller++  6/3 2/1  eq: 0.215 (0.009) 
 Player: Opponent:  42.06% (G:0.71% B:0.03%) 57.94% (G:0.81% B:0.02%)  

4.  XG Roller++  8/4  eq: 0.221 (0.015) 
 Player: Opponent:  41.85% (G:0.57% B:0.02%) 58.15% (G:0.73% B:0.01%)  

5.  XG Roller++  8/7 8/5  eq: 0.224 (0.018) 
 Player: Opponent:  41.88% (G:0.57% B:0.01%) 58.12% (G:0.76% B:0.01%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.11% (G:0.81% B:0.02%) 
58.16% (G:0.87% B:0.02%) 
Opponent Winning Chances: 
41.89% (G:0.62% B:0.02%) 
41.84% (G:0.60% B:0.02%) 
Cubeless Equities 
+0.164 
+0.331 
Cubeful Equities 
No double:  +0.220  
Double/Take:  +0.042 (0.178)  
Double/Pass:  +1.000 (+0.780) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.7% 



65: 15/10 15/9 

1.  XG Roller++  15/10 15/9  eq: +0.512 
 Player: Opponent:  66.11% (G:0.00% B:0.00%) 33.89% (G:0.00% B:0.00%)  

2.  XG Roller++  8/3 8/2  eq: +0.292 (0.220) 
 Player: Opponent:  60.24% (G:1.15% B:0.02%) 39.76% (G:0.83% B:0.02%)  

3.  4ply  8/3 7/1  eq: +0.309 (0.203) 
 Player: Opponent:  60.50% (G:1.09% B:0.01%) 39.50% (G:0.78% B:0.01%)  

4.  4ply  7/1 6/1  eq: +0.287 (0.225) 
 Player: Opponent:  59.79% (G:0.88% B:0.01%) 40.21% (G:0.63% B:0.01%)  

5.  4ply  8/2 6/1  eq: +0.282 (0.230) 
 Player: Opponent:  59.68% (G:1.08% B:0.01%) 40.32% (G:1.00% B:0.01%)  




53: 14/9 13/10 

1.  XG Roller++  14/9 13/10  eq: 0.509 
 Player: Opponent:  33.29% (G:0.00% B:0.00%) 66.71% (G:0.00% B:0.00%)  

2.  XG Roller++  14/11 14/9  eq: 0.509 (0.000) 
 Player: Opponent:  33.26% (G:0.00% B:0.00%) 66.74% (G:0.00% B:0.00%)  

3.  XG Roller++  14/9 8/5  eq: 0.509 (0.000) 
 Player: Opponent:  33.27% (G:0.00% B:0.00%) 66.73% (G:0.00% B:0.00%)  

4.  XG Roller++  14/6  eq: 0.512 (0.003) 
 Player: Opponent:  33.18% (G:0.00% B:0.00%) 66.82% (G:0.00% B:0.00%)  

5.  XG Roller++  13/5  eq: 0.512 (0.003) 
 Player: Opponent:  33.18% (G:0.00% B:0.00%) 66.82% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.72% (G:0.00% B:0.00%) 
66.74% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
33.28% (G:0.00% B:0.00%) 
33.26% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.335 
+0.668 
Cubeful Equities 
No double:  +0.509  
Double/Take:  +0.446 (0.063)  
Double/Pass:  +1.000 (+0.491) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.2% 



51: 10/5 7/6 

1.  XG Roller++  10/5 7/6  eq: +0.392 
 Player: Opponent:  62.76% (G:0.00% B:0.00%) 37.24% (G:0.00% B:0.00%)  

2.  XG Roller++  8/3 7/6  eq: +0.389 (0.003) 
 Player: Opponent:  62.68% (G:0.00% B:0.00%) 37.32% (G:0.00% B:0.00%)  

3.  XG Roller++  10/5 8/7  eq: +0.384 (0.008) 
 Player: Opponent:  62.54% (G:0.00% B:0.00%) 37.46% (G:0.00% B:0.00%)  

4.  XG Roller++  10/5 2/1  eq: +0.384 (0.008) 
 Player: Opponent:  62.52% (G:0.00% B:0.00%) 37.48% (G:0.00% B:0.00%)  

5.  XG Roller++  8/3 2/1  eq: +0.382 (0.010) 
 Player: Opponent:  62.47% (G:0.00% B:0.00%) 37.53% (G:0.00% B:0.00%)  




62: 14/12 13/7 

1.  XG Roller++  14/6  eq: 0.401 
 Player: Opponent:  36.57% (G:0.00% B:0.00%) 63.43% (G:0.00% B:0.00%)  

2.  XG Roller++  13/5  eq: 0.402 (0.001) 
 Player: Opponent:  36.54% (G:0.00% B:0.00%) 63.46% (G:0.00% B:0.00%)  

3.  XG Roller++  13/7 8/6  eq: 0.402 (0.002) 
 Player: Opponent:  36.53% (G:0.00% B:0.00%) 63.47% (G:0.00% B:0.00%)  

4.  XG Roller++  14/8 13/11  eq: 0.403 (0.002) 
 Player: Opponent:  36.51% (G:0.00% B:0.00%) 63.49% (G:0.00% B:0.00%)  

5.  XG Roller++  10/4 8/6  eq: 0.404 (0.004) 
 Player: Opponent:  36.47% (G:0.00% B:0.00%) 63.53% (G:0.00% B:0.00%)  

6.  XG Roller++  14/12 13/7  eq: 0.405 (0.005) 
 Player: Opponent:  36.44% (G:0.00% B:0.00%) 63.56% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
63.57% (G:0.00% B:0.00%) 
63.58% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
36.43% (G:0.00% B:0.00%) 
36.42% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.271 
+0.542 
Cubeful Equities 
No double:  +0.400  
Double/Take:  +0.290 (0.111)  
Double/Pass:  +1.000 (+0.600) 

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



21: 8/5 

1.  XG Roller++  8/5  eq: +0.088 
 Player: Opponent:  52.73% (G:0.00% B:0.00%) 47.27% (G:0.00% B:0.00%)  

2.  XG Roller++  8/7 8/6  eq: +0.086 (0.002) 
 Player: Opponent:  52.63% (G:0.00% B:0.00%) 47.37% (G:0.00% B:0.00%)  

3.  XG Roller++  8/6 2/1  eq: +0.079 (0.009) 
 Player: Opponent:  52.40% (G:0.00% B:0.00%) 47.60% (G:0.00% B:0.00%)  

4.  XG Roller++  8/6 4/3  eq: +0.067 (0.021) 
 Player: Opponent:  51.96% (G:0.00% B:0.00%) 48.04% (G:0.00% B:0.00%)  

5.  XG Roller++  9/7 6/5  eq: +0.059 (0.029) 
 Player: Opponent:  51.67% (G:0.00% B:0.00%) 48.33% (G:0.00% B:0.00%)  




64: 12/6 9/5 

1.  XG Roller++  12/6 9/5  eq: +0.046 
 Player: Opponent:  51.45% (G:0.00% B:0.00%) 48.55% (G:0.00% B:0.00%)  

2.  XG Roller++  12/6 7/3  eq: +0.045 (0.001) 
 Player: Opponent:  51.44% (G:0.00% B:0.00%) 48.56% (G:0.00% B:0.00%)  

3.  XG Roller++  12/6 8/4  eq: +0.043 (0.004) 
 Player: Opponent:  51.34% (G:0.00% B:0.00%) 48.66% (G:0.00% B:0.00%)  

4.  XG Roller++  12/6 10/6  eq: +0.038 (0.008) 
 Player: Opponent:  51.14% (G:0.00% B:0.00%) 48.86% (G:0.00% B:0.00%)  

5.  XG Roller++  10/4 9/5  eq: +0.037 (0.009) 
 Player: Opponent:  51.13% (G:0.00% B:0.00%) 48.87% (G:0.00% B:0.00%)  




65: 9/3 8/3 

1.  XG Roller++  9/3 8/3  eq: +0.140 
 Player: Opponent:  54.65% (G:0.00% B:0.00%) 45.35% (G:0.00% B:0.00%)  

2.  XG Roller++  8/3 8/2  eq: +0.131 (0.008) 
 Player: Opponent:  54.37% (G:0.00% B:0.00%) 45.63% (G:0.00% B:0.00%)  

3.  XG Roller++  9/3 6/1  eq: +0.103 (0.037) 
 Player: Opponent:  53.25% (G:0.00% B:0.00%) 46.75% (G:0.00% B:0.00%)  

4.  XG Roller++  9/4 8/2  eq: +0.102 (0.038) 
 Player: Opponent:  53.25% (G:0.00% B:0.00%) 46.75% (G:0.00% B:0.00%)  

5.  XG Roller++  8/2 6/1  eq: +0.080 (0.060) 
 Player: Opponent:  52.48% (G:0.00% B:0.00%) 47.52% (G:0.00% B:0.00%)  




31: 8/5 7/6 

1.  XG Roller++  7/4 2/1  eq: 0.432 
 Player: Opponent:  35.47% (G:0.00% B:0.00%) 64.53% (G:0.00% B:0.00%)  

2.  XG Roller++  8/5 7/6  eq: 0.435 (0.003) 
 Player: Opponent:  35.40% (G:0.00% B:0.00%) 64.60% (G:0.00% B:0.00%)  

3.  XG Roller++  8/5 2/1  eq: 0.439 (0.007) 
 Player: Opponent:  35.27% (G:0.00% B:0.00%) 64.73% (G:0.00% B:0.00%)  

4.  XG Roller++  10/9 7/4  eq: 0.443 (0.011) 
 Player: Opponent:  35.11% (G:0.00% B:0.00%) 64.89% (G:0.00% B:0.00%)  

5.  XG Roller++  7/3  eq: 0.446 (0.014) 
 Player: Opponent:  35.03% (G:0.00% B:0.00%) 64.97% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.59% (G:0.00% B:0.00%) 
64.59% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
35.41% (G:0.00% B:0.00%) 
35.41% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.292 
+0.582 
Cubeful Equities 
No double:  +0.437  
Double/Take:  +0.344 (0.093)  
Double/Pass:  +1.000 (+0.563) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.4% 



52: 8/6 8/3 

1.  XG Roller++  8/6 8/3  eq: +0.375 
 Player: Opponent:  62.17% (G:0.00% B:0.00%) 37.83% (G:0.00% B:0.00%)  

2.  XG Roller++  8/1  eq: +0.363 (0.012) 
 Player: Opponent:  61.81% (G:0.00% B:0.00%) 38.19% (G:0.00% B:0.00%)  

3.  XG Roller++  8/3 6/4  eq: +0.328 (0.047) 
 Player: Opponent:  60.69% (G:0.00% B:0.00%) 39.31% (G:0.00% B:0.00%)  

4.  XG Roller++  8/3 4/2  eq: +0.304 (0.071) 
 Player: Opponent:  59.87% (G:0.00% B:0.00%) 40.13% (G:0.00% B:0.00%)  

5.  XG Roller++  6/4 6/1  eq: +0.279 (0.096) 
 Player: Opponent:  59.07% (G:0.00% B:0.00%) 40.93% (G:0.00% B:0.00%)  




64: 10/Off 

1.  XG Roller++  10/Off  eq: 0.241 
 Player: Opponent:  41.74% (G:0.00% B:0.00%) 58.26% (G:0.00% B:0.00%)  

2.  XG Roller++  10/4 5/1  eq: 0.284 (0.042) 
 Player: Opponent:  40.26% (G:0.00% B:0.00%) 59.74% (G:0.00% B:0.00%)  

3.  XG Roller++  10/4 6/2  eq: 0.318 (0.077) 
 Player: Opponent:  39.05% (G:0.00% B:0.00%) 60.95% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.25% (G:0.00% B:0.00%) 
58.25% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
41.75% (G:0.00% B:0.00%) 
41.75% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.165 
+0.329 
Cubeful Equities 
No double:  +0.249  
Double/Take:  +0.053 (0.196)  
Double/Pass:  +1.000 (+0.751) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.2% 



61: 6/Off 2/1 

1.  XG Roller++  6/5 6/Off  eq: +0.171 
 Player: Opponent:  55.25% (G:0.00% B:0.00%) 44.75% (G:0.00% B:0.00%)  

2.  XG Roller++  6/Off 2/1  eq: +0.163 (0.008) 
 Player: Opponent:  54.94% (G:0.00% B:0.00%) 45.06% (G:0.00% B:0.00%)  

3.  4ply  6/Off 3/2  eq: +0.134 (0.038) 
 Player: Opponent:  54.27% (G:0.00% B:0.00%) 45.73% (G:0.00% B:0.00%)  

4.  4ply  6/Off 5/4  eq: +0.107 (0.064) 
 Player: Opponent:  53.32% (G:0.00% B:0.00%) 46.68% (G:0.00% B:0.00%)  

5.  4ply  6/Off 4/3  eq: +0.091 (0.080) 
 Player: Opponent:  52.81% (G:0.00% B:0.00%) 47.19% (G:0.00% B:0.00%)  




51: 5/Off 2/1 

1.  4ply  5/Off 2/1  eq: 0.311 
 Player: Opponent:  39.23% (G:0.00% B:0.00%) 60.77% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: 0.339 (0.028) 
 Player: Opponent:  38.28% (G:0.00% B:0.00%) 61.72% (G:0.00% B:0.00%)  

3.  4ply  5/4 5/Off  eq: 0.353 (0.042) 
 Player: Opponent:  37.84% (G:0.00% B:0.00%) 62.16% (G:0.00% B:0.00%)  

4.  4ply  5/Off 4/3  eq: 0.377 (0.067) 
 Player: Opponent:  37.11% (G:0.00% B:0.00%) 62.89% (G:0.00% B:0.00%)  

5.  4ply  6/1 5/4  eq: 0.391 (0.080) 
 Player: Opponent:  36.49% (G:0.00% B:0.00%) 63.51% (G:0.00% B:0.00%)  




No double 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
60.78% (G:0.00% B:0.00%) 
60.77% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
39.22% (G:0.00% B:0.00%) 
39.23% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.216 
+0.429 
Cubeful Equities 
No double:  +0.319  
Double/Take:  +0.173 (0.146)  
Double/Pass:  +1.000 (+0.681) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.0% 



43: 4/Off 3/Off 

1.  4ply  4/Off 3/Off  eq: +0.286 
 Player: Opponent:  59.35% (G:0.00% B:0.00%) 40.65% (G:0.00% B:0.00%)  

2.  4ply  6/2 3/Off  eq: +0.234 (0.052) 
 Player: Opponent:  57.53% (G:0.00% B:0.00%) 42.47% (G:0.00% B:0.00%)  

3.  4ply  6/3 4/Off  eq: +0.163 (0.123) 
 Player: Opponent:  55.13% (G:0.00% B:0.00%) 44.87% (G:0.00% B:0.00%)  

4.  4ply  5/2 4/Off  eq: +0.127 (0.159) 
 Player: Opponent:  53.89% (G:0.00% B:0.00%) 46.11% (G:0.00% B:0.00%)  

5.  4ply  5/1 3/Off  eq: +0.109 (0.177) 
 Player: Opponent:  53.32% (G:0.00% B:0.00%) 46.68% (G:0.00% B:0.00%)  




64: 6/Off 4/Off 

1.  4ply  6/Off 4/Off  eq: 0.142 
 Player: Opponent:  44.85% (G:0.00% B:0.00%) 55.15% (G:0.00% B:0.00%)  

2.  4ply  6/2 6/Off  eq: 0.224 (0.082) 
 Player: Opponent:  41.97% (G:0.00% B:0.00%) 58.03% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/1  eq: 0.250 (0.108) 
 Player: Opponent:  41.09% (G:0.00% B:0.00%) 58.91% (G:0.00% B:0.00%)  




42: 4/Off 2/Off 

1.  4ply  4/Off 2/Off  eq: 0.013 
 Player: Opponent:  48.96% (G:0.00% B:0.00%) 51.04% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: 0.034 (0.020) 
 Player: Opponent:  48.24% (G:0.00% B:0.00%) 51.76% (G:0.00% B:0.00%)  

3.  4ply  6/4 6/2  eq: 0.124 (0.111) 
 Player: Opponent:  45.08% (G:0.00% B:0.00%) 54.92% (G:0.00% B:0.00%)  

4.  4ply  4/Off 3/1  eq: 0.160 (0.147) 
 Player: Opponent:  44.00% (G:0.00% B:0.00%) 56.00% (G:0.00% B:0.00%)  

5.  4ply  5/3 4/Off  eq: 0.181 (0.168) 
 Player: Opponent:  43.31% (G:0.00% B:0.00%) 56.69% (G:0.00% B:0.00%)  




42: 4/Off 2/Off 

1.  4ply  4/Off 2/Off  eq: 0.153 
 Player: Opponent:  44.47% (G:0.00% B:0.00%) 55.53% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: 0.183 (0.031) 
 Player: Opponent:  43.38% (G:0.00% B:0.00%) 56.62% (G:0.00% B:0.00%)  

3.  4ply  5/1 2/Off  eq: 0.237 (0.084) 
 Player: Opponent:  41.54% (G:0.00% B:0.00%) 58.46% (G:0.00% B:0.00%)  

4.  4ply  5/3 4/Off  eq: 0.277 (0.125) 
 Player: Opponent:  40.28% (G:0.00% B:0.00%) 59.72% (G:0.00% B:0.00%)  

5.  4ply  6/4 5/1  eq: 0.299 (0.146) 
 Player: Opponent:  39.43% (G:0.00% B:0.00%) 60.57% (G:0.00% B:0.00%)  




51: 5/Off 1/Off 

1.  4ply  5/Off 1/Off  eq: +0.026 
 Player: Opponent:  49.97% (G:0.00% B:0.00%) 50.03% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: 0.029 (0.055) 
 Player: Opponent:  48.23% (G:0.00% B:0.00%) 51.77% (G:0.00% B:0.00%)  

3.  4ply  5/Off 3/2  eq: 0.080 (0.107) 
 Player: Opponent:  46.52% (G:0.00% B:0.00%) 53.48% (G:0.00% B:0.00%)  

4.  4ply  5/Off 4/3  eq: 0.187 (0.214) 
 Player: Opponent:  42.95% (G:0.00% B:0.00%) 57.05% (G:0.00% B:0.00%)  

5.  4ply  6/1 3/2  eq: 0.189 (0.215) 
 Player: Opponent:  42.92% (G:0.00% B:0.00%) 57.08% (G:0.00% B:0.00%)  




66: 6/Off(4) 

1.  3ply  6/Off(4)  eq: +0.968 
 Player: Opponent:  94.01% (G:0.00% B:0.00%) 5.99% (G:0.00% B:0.00%)  




42: 6/Off 

1.  4ply  6/Off  eq: 1.000 
 Player: Opponent:  3.22% (G:0.00% B:0.00%) 96.78% (G:0.00% B:0.00%)  

2.  4ply  4/Off 3/1  eq: 1.000 
 Player: Opponent:  2.93% (G:0.00% B:0.00%) 97.07% (G:0.00% B:0.00%)  

3.  4ply  5/3 4/Off  eq: 1.000 
 Player: Opponent:  2.20% (G:0.00% B:0.00%) 97.80% (G:0.00% B:0.00%)  

4.  4ply  6/2 3/1  eq: 1.000 
 Player: Opponent:  2.56% (G:0.00% B:0.00%) 97.44% (G:0.00% B:0.00%)  

5.  4ply  6/4 6/2  eq: 1.000 
 Player: Opponent:  2.23% (G:0.00% B:0.00%) 97.77% (G:0.00% B:0.00%)  




Double/Pass 

Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
96.78% (G:0.00% B:0.00%) 
96.78% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
3.22% (G:0.00% B:0.00%) 
3.22% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.936 
+1.866 
Cubeful Equities 
No double:  +0.980 (0.020)  
Double/Take:  +1.854 (+0.854)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 



Wins 1pt. 


