21: 13/11 6/5 


1.  Book^{1}  24/23 13/11  eq: 0.125 
 Player: Opponent:  49.81% (G:14.90% B:1.74%) 50.19% (G:13.60% B:0.53%)  Conf.: ± 0.002 (0.128...0.123)  [100.0%] 

2.  Book^{1}  13/11 6/5  eq: 0.132 (0.007) 
 Player: Opponent:  50.10% (G:14.97% B:1.91%) 49.90% (G:14.09% B:0.73%)  Conf.: ± 0.003 (0.135...0.129)  [0.0%] 

3.  Book^{2}  24/21  eq: 0.174 (0.049) 
 Player: Opponent:  49.02% (G:14.61% B:1.95%) 50.98% (G:14.28% B:0.50%)  Conf.: ± 0.004 (0.178...0.170)  [0.0%] 

4.  Book^{2}  24/23 24/22  eq: 0.179 (0.054) 
 Player: Opponent:  48.61% (G:13.81% B:1.54%) 51.39% (G:13.90% B:0.48%)  Conf.: ± 0.004 (0.182...0.175)  [0.0%] 

5.  Book^{2}  13/10  eq: 0.189 (0.064) 
 Player: Opponent:  48.57% (G:15.57% B:2.06%) 51.43% (G:14.45% B:0.64%)  Conf.: ± 0.004 (0.193...0.186)  [0.0%] 


^{1} Generated by Steven Carey on 01/06/2013 using eXtreme Gammon 2.10 46656 Games rolled with Variance Reduction. Dice Seed: 52103254 Moves: 3ply, cube decisions: 4ply
^{2} Generated by Steven Carey on 01/06/2013 using eXtreme Gammon 2.10 20736 Games rolled with Variance Reduction. Dice Seed: 75804804 Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
49.80% (G:14.17% B:0.90%) 
49.80% (G:14.18% B:0.88%) 
Opponent Winning Chances: 
50.20% (G:13.76% B:0.61%) 
50.20% (G:13.93% B:0.64%) 
Cubeless Equities 
0.103 
+0.110 
Cubeful Equities 
No double:  +0.224  
Double/Take:  +0.110 (0.114)  
Double/Pass:  +1.000 (+0.776) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.3% 


51: 24/23 13/8 


1.  XG Roller++  24/23 13/8  eq: 0.056 
 Player: Opponent:  43.86% (G:10.65% B:0.42%) 56.14% (G:16.47% B:0.66%)  

2.  XG Roller++  13/8 6/5  eq: 0.058 (0.002) 
 Player: Opponent:  43.55% (G:10.97% B:0.45%) 56.45% (G:17.01% B:0.97%)  

3.  4ply  13/7  eq: 0.093 (0.038) 
 Player: Opponent:  42.75% (G:11.36% B:0.54%) 57.25% (G:17.67% B:1.06%)  

4.  4ply  24/18  eq: 0.119 (0.064) 
 Player: Opponent:  43.09% (G:9.92% B:0.46%) 56.91% (G:18.43% B:0.73%)  

5.  3ply  24/23 8/3  eq: 0.225 (0.169) 
 Player: Opponent:  40.12% (G:10.10% B:0.50%) 59.88% (G:20.36% B:1.06%)  



42: 11/5 


1.  3ply  11/5  eq: +0.031 
 Player: Opponent:  55.27% (G:16.75% B:0.64%) 44.73% (G:11.37% B:0.48%)  

2.  2ply  8/4 6/4  eq: 0.166 (0.197) 
 Player: Opponent:  51.43% (G:14.65% B:0.53%) 48.57% (G:14.26% B:1.02%)  

3.  2ply  13/9 11/9  eq: 0.211 (0.242) 
 Player: Opponent:  49.80% (G:13.07% B:0.52%) 50.20% (G:13.77% B:0.85%)  

4.  2ply  24/20 13/11  eq: 0.222 (0.253) 
 Player: Opponent:  49.76% (G:11.81% B:0.43%) 50.24% (G:14.25% B:0.62%)  

5.  2ply  13/11 5/1*  eq: 0.258 (0.289) 
 Player: Opponent:  48.70% (G:12.81% B:0.51%) 51.30% (G:14.36% B:0.81%)  



31: 8/5 6/5 


1.  3ply  8/5 6/5  eq: +0.131 
 Player: Opponent:  48.35% (G:13.56% B:0.61%) 51.65% (G:15.22% B:0.58%)  

2.  1ply  23/22 13/10  eq: 0.221 (0.352) 
 Player: Opponent:  39.99% (G:10.31% B:0.50%) 60.01% (G:20.22% B:1.05%)  

3.  1ply  13/9  eq: 0.225 (0.356) 
 Player: Opponent:  39.86% (G:10.32% B:0.49%) 60.14% (G:20.18% B:1.14%)  

4.  1ply  13/10 6/5  eq: 0.235 (0.365) 
 Player: Opponent:  40.01% (G:10.20% B:0.52%) 59.99% (G:22.64% B:1.60%)  

5.  1ply  24/21 23/22  eq: 0.235 (0.366) 
 Player: Opponent:  40.11% (G:9.57% B:0.43%) 59.89% (G:20.67% B:0.79%)  



54: 13/8 6/2* 


1.  XG Roller++  13/9 13/8  eq: 0.430 
 Player: Opponent:  45.73% (G:15.27% B:0.61%) 54.27% (G:15.97% B:0.87%)  

2.  XG Roller++  13/8 6/2*  eq: 0.447 (0.017) 
 Player: Opponent:  45.98% (G:14.19% B:0.63%) 54.02% (G:16.68% B:0.96%)  

3.  4ply  13/9 6/1*  eq: 0.459 (0.028) 
 Player: Opponent:  45.80% (G:14.51% B:0.48%) 54.20% (G:17.39% B:1.20%)  

4.  3ply  13/4  eq: 0.501 (0.071) 
 Player: Opponent:  44.60% (G:12.74% B:0.50%) 55.40% (G:16.89% B:1.06%)  

5.  2ply  6/2* 6/1*  eq: 0.672 (0.242) 
 Player: Opponent:  42.41% (G:13.37% B:0.31%) 57.59% (G:19.10% B:1.49%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
54.14% (G:16.60% B:0.97%) 
54.29% (G:16.34% B:0.94%) 
Opponent Winning Chances: 
45.86% (G:14.18% B:0.59%) 
45.71% (G:14.05% B:0.62%) 
Cubeless Equities 
+0.000 
+0.400 
Cubeful Equities 
No double:  +0.439  
Double/Take:  +0.400 (0.039)  
Double/Pass:  +1.000 (+0.561) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.1% 


31: Bar/22 24/23* 


1.  3ply  Bar/22 24/23*  eq: +0.561 
 Player: Opponent:  55.99% (G:17.89% B:1.24%) 44.01% (G:11.43% B:0.41%)  

2.  2ply  Bar/24 13/10  eq: +0.309 (0.252) 
 Player: Opponent:  51.50% (G:15.97% B:0.88%) 48.50% (G:15.29% B:0.92%)  

3.  2ply  Bar/21  eq: +0.255 (0.305) 
 Player: Opponent:  51.15% (G:14.60% B:0.87%) 48.85% (G:16.58% B:0.65%)  

4.  2ply  Bar/22 6/5  eq: +0.247 (0.313) 
 Player: Opponent:  51.27% (G:14.50% B:0.81%) 48.73% (G:16.56% B:0.68%)  

5.  2ply  Bar/24 8/5  eq: +0.232 (0.329) 
 Player: Opponent:  50.21% (G:15.08% B:0.81%) 49.79% (G:15.91% B:0.93%)  



52: Bar/23 8/3* 


1.  XG Roller++  Bar/18  eq: 0.569 
 Player: Opponent:  43.86% (G:11.61% B:0.50%) 56.14% (G:17.87% B:1.18%)  

2.  XG Roller++  Bar/23 8/3*  eq: 0.596 (0.027) 
 Player: Opponent:  44.22% (G:12.71% B:0.50%) 55.78% (G:19.09% B:1.47%)  

3.  2ply  Bar/23 13/8  eq: 0.745 (0.176) 
 Player: Opponent:  40.45% (G:10.53% B:0.32%) 59.55% (G:18.70% B:1.33%)  

4.  1ply  Bar/23 6/1  eq: 1.000 (0.431) 
 Player: Opponent:  36.49% (G:9.35% B:0.30%) 63.51% (G:21.09% B:1.80%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
55.74% (G:19.30% B:1.43%) 
55.74% (G:19.32% B:1.41%) 
Opponent Winning Chances: 
44.26% (G:12.95% B:0.53%) 
44.26% (G:12.81% B:0.55%) 
Cubeless Equities 
+0.085 
+0.590 
Cubeful Equities 
No double:  +0.602  
Double/Take:  +0.590 (0.012)  
Double/Pass:  +1.000 (+0.398) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.8% 


42: Bar/21 23/21 


1.  3ply  Bar/21 23/21  eq: +0.632 
 Player: Opponent:  58.39% (G:16.83% B:0.92%) 41.61% (G:8.81% B:0.32%)  

2.  2ply  Bar/21 13/11  eq: +0.347 (0.286) 
 Player: Opponent:  51.99% (G:16.79% B:1.14%) 48.01% (G:15.17% B:0.78%)  

3.  2ply  Bar/23 13/9  eq: +0.319 (0.313) 
 Player: Opponent:  50.87% (G:17.17% B:1.14%) 49.13% (G:14.15% B:0.66%)  

4.  2ply  Bar/23 6/2*  eq: +0.301 (0.331) 
 Player: Opponent:  50.24% (G:16.78% B:1.21%) 49.76% (G:15.08% B:0.78%)  

5.  2ply  Bar/21 8/6  eq: +0.250 (0.383) 
 Player: Opponent:  50.11% (G:15.96% B:1.05%) 49.89% (G:16.13% B:0.68%)  



61: 13/7 8/7 


1.  XG Roller++  24/23 24/18  eq: 0.783 
 Player: Opponent:  38.41% (G:8.41% B:0.32%) 61.59% (G:17.35% B:0.81%)  

2.  XG Roller++  13/7 8/7  eq: 0.797 (0.014) 
 Player: Opponent:  39.60% (G:9.19% B:0.38%) 60.40% (G:18.92% B:1.21%)  

3.  3ply  23/16  eq: 0.846 (0.063) 
 Player: Opponent:  38.42% (G:7.82% B:0.27%) 61.58% (G:18.94% B:1.26%)  

4.  2ply  24/18 6/5  eq: 0.893 (0.110) 
 Player: Opponent:  39.61% (G:8.64% B:0.29%) 60.39% (G:21.79% B:1.32%)  

5.  2ply  8/2 3/2  eq: 0.911 (0.128) 
 Player: Opponent:  37.28% (G:8.23% B:0.27%) 62.72% (G:19.30% B:1.21%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
60.26% (G:19.06% B:1.23%) 
60.49% (G:19.20% B:1.24%) 
Opponent Winning Chances: 
39.74% (G:9.68% B:0.42%) 
39.51% (G:9.94% B:0.47%) 
Cubeless Equities 
+0.228 
+0.803 
Cubeful Equities 
No double:  +0.731 (0.072)  
Double/Take:  +0.803  
Double/Pass:  +1.000 (+0.197) 

Best Cube action: Double / Take 


63: 13/10 8/2* 


1.  XG Roller++  13/4  eq: +0.504 
 Player: Opponent:  54.48% (G:17.07% B:0.96%) 45.52% (G:11.36% B:0.48%)  

2.  XG Roller++  13/10 8/2*  eq: +0.482 (0.022) 
 Player: Opponent:  53.48% (G:17.40% B:1.18%) 46.52% (G:12.48% B:0.58%)  

3.  3ply  21/15 13/10  eq: +0.340 (0.164) 
 Player: Opponent:  51.74% (G:16.68% B:1.46%) 48.26% (G:18.67% B:0.88%)  

4.  3ply  21/15 8/5  eq: +0.310 (0.193) 
 Player: Opponent:  50.94% (G:16.77% B:1.41%) 49.06% (G:18.33% B:0.71%)  

5.  3ply  13/10 13/7  eq: +0.294 (0.210) 
 Player: Opponent:  50.93% (G:15.84% B:0.99%) 49.07% (G:13.09% B:0.55%)  



52: Bar/23* 23/18 


1.  XG Roller++  Bar/23* 23/18  eq: 0.369 
 Player: Opponent:  48.74% (G:13.22% B:0.61%) 51.26% (G:17.01% B:1.19%)  

2.  XG Roller++  Bar/23* 8/3  eq: 0.391 (0.022) 
 Player: Opponent:  46.95% (G:14.64% B:0.66%) 53.05% (G:15.90% B:0.90%)  

3.  2ply  Bar/23* 13/8  eq: 0.575 (0.206) 
 Player: Opponent:  44.23% (G:12.88% B:0.67%) 55.77% (G:18.72% B:1.54%)  

4.  1ply  Bar/23* 6/1  eq: 0.776 (0.407) 
 Player: Opponent:  42.02% (G:11.71% B:0.52%) 57.98% (G:21.04% B:1.97%)  

5.  1ply  Bar/23* 7/2  eq: 1.000 (0.631) 
 Player: Opponent:  39.47% (G:11.02% B:0.51%) 60.53% (G:24.11% B:2.80%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
51.14% (G:16.93% B:1.17%) 
51.13% (G:17.26% B:1.25%) 
Opponent Winning Chances: 
48.86% (G:13.38% B:0.64%) 
48.87% (G:14.62% B:0.76%) 
Cubeless Equities 
0.040 
+0.295 
Cubeful Equities 
No double:  +0.369  
Double/Take:  +0.295 (0.075)  
Double/Pass:  +1.000 (+0.631) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.6% 


43: Bar/22* 10/6 


1.  XG Roller++  Bar/21 10/7*  eq: +0.496 
 Player: Opponent:  54.25% (G:16.88% B:1.04%) 45.75% (G:12.65% B:0.52%)  

2.  XG Roller++  Bar/22* 10/6  eq: +0.262 (0.234) 
 Player: Opponent:  48.75% (G:16.15% B:0.99%) 51.25% (G:12.83% B:0.54%)  

3.  2ply  Bar/22* 13/9  eq: +0.236 (0.260) 
 Player: Opponent:  48.46% (G:16.45% B:1.27%) 51.54% (G:14.69% B:0.69%)  

4.  2ply  Bar/21 13/10  eq: +0.155 (0.341) 
 Player: Opponent:  48.89% (G:12.58% B:0.59%) 51.11% (G:10.89% B:0.35%)  

5.  2ply  Bar/22* 6/2  eq: +0.074 (0.421) 
 Player: Opponent:  45.45% (G:14.07% B:0.89%) 54.55% (G:15.84% B:0.71%)  



54: Bar/21 18/13 


1.  3ply  Bar/21 18/13  eq: 0.264 
 Player: Opponent:  50.01% (G:11.92% B:0.43%) 49.99% (G:14.99% B:0.83%)  

2.  3ply  Bar/16  eq: 0.357 (0.093) 
 Player: Opponent:  49.59% (G:12.10% B:0.49%) 50.41% (G:18.20% B:1.39%)  

3.  1ply  Bar/21 13/8  eq: 0.670 (0.407) 
 Player: Opponent:  44.67% (G:11.23% B:0.44%) 55.33% (G:21.60% B:1.94%)  

4.  1ply  Bar/21 6/1  eq: 0.811 (0.547) 
 Player: Opponent:  42.30% (G:10.69% B:0.40%) 57.70% (G:22.31% B:2.07%)  

5.  1ply  Bar/21 8/3*  eq: 0.854 (0.591) 
 Player: Opponent:  42.55% (G:10.63% B:0.40%) 57.45% (G:23.57% B:2.36%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.18% (G:15.26% B:0.92%) 
50.31% (G:15.38% B:0.96%) 
Opponent Winning Chances: 
49.82% (G:11.88% B:0.49%) 
49.69% (G:12.68% B:0.56%) 
Cubeless Equities 
0.052 
+0.180 
Cubeful Equities 
No double:  +0.279  
Double/Take:  +0.180 (0.099)  
Double/Pass:  +1.000 (+0.721) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.8% 


64: 13/3 


1.  XG Roller++  22/16 8/4*  eq: +0.061 
 Player: Opponent:  44.92% (G:13.24% B:0.71%) 55.08% (G:15.50% B:0.69%)  

2.  XG Roller++  21/11  eq: +0.023 (0.038) 
 Player: Opponent:  44.74% (G:13.04% B:0.70%) 55.26% (G:17.00% B:0.87%)  

3.  XG Roller++  13/3  eq: 0.052 (0.114) 
 Player: Opponent:  42.56% (G:12.16% B:0.56%) 57.44% (G:15.21% B:0.65%)  

4.  4ply  22/16 6/2  eq: +0.011 (0.050) 
 Player: Opponent:  45.05% (G:11.77% B:0.48%) 54.95% (G:13.19% B:0.53%)  

5.  3ply  22/16 13/9  eq: 0.025 (0.086) 
 Player: Opponent:  43.93% (G:12.02% B:0.59%) 56.07% (G:13.73% B:0.61%)  



32: 24/21 24/22* 


1.  4ply  24/21 24/22*  eq: +0.343 
 Player: Opponent:  63.03% (G:16.11% B:0.65%) 36.97% (G:8.02% B:0.24%)  

2.  4ply  24/22* 21/18  eq: +0.287 (0.056) 
 Player: Opponent:  62.24% (G:16.63% B:0.69%) 37.76% (G:9.56% B:0.37%)  

3.  3ply  24/22* 6/3*  eq: +0.175 (0.169) 
 Player: Opponent:  59.97% (G:16.72% B:0.65%) 40.03% (G:11.32% B:0.52%)  

4.  2ply  24/22* 13/10  eq: +0.137 (0.206) 
 Player: Opponent:  59.04% (G:17.35% B:0.81%) 40.96% (G:12.07% B:0.68%)  

5.  2ply  24/21 13/11  eq: +0.061 (0.283) 
 Player: Opponent:  56.74% (G:13.63% B:0.64%) 43.26% (G:11.57% B:0.43%)  



42: Bar/23 6/2 


1.  3ply  Bar/23 6/2  eq: 0.410 
 Player: Opponent:  35.14% (G:8.07% B:0.26%) 64.86% (G:17.99% B:0.85%)  

2.  2ply  Bar/21 13/11  eq: 0.601 (0.191) 
 Player: Opponent:  30.68% (G:6.49% B:0.19%) 69.32% (G:22.52% B:0.93%)  

3.  2ply  Bar/21 8/6  eq: 0.629 (0.219) 
 Player: Opponent:  29.91% (G:6.02% B:0.14%) 70.09% (G:21.65% B:0.76%)  

4.  2ply  Bar/21 5/3*  eq: 0.651 (0.241) 
 Player: Opponent:  30.10% (G:5.37% B:0.10%) 69.90% (G:24.73% B:1.00%)  

5.  2ply  Bar/23 13/9  eq: 0.704 (0.294) 
 Player: Opponent:  28.67% (G:5.75% B:0.23%) 71.33% (G:27.85% B:1.64%)  



21: 22/21 13/11 


1.  4ply  22/21 13/11  eq: +0.363 
 Player: Opponent:  63.78% (G:17.42% B:0.85%) 36.22% (G:8.66% B:0.30%)  

2.  4ply  13/11 6/5  eq: +0.301 (0.063) 
 Player: Opponent:  62.46% (G:17.83% B:0.87%) 37.54% (G:9.75% B:0.36%)  

3.  4ply  6/3*  eq: +0.297 (0.066) 
 Player: Opponent:  62.46% (G:18.58% B:0.92%) 37.54% (G:10.13% B:0.37%)  

4.  3ply  13/10  eq: +0.258 (0.106) 
 Player: Opponent:  61.58% (G:18.15% B:0.85%) 38.42% (G:10.41% B:0.38%)  

5.  1ply  7/6 7/5  eq: +0.000 (0.363) 
 Player: Opponent:  54.01% (G:14.61% B:0.61%) 45.99% (G:10.77% B:0.28%)  



42: 23/21 6/2 


1.  3ply  23/21 6/2  eq: 0.339 
 Player: Opponent:  36.79% (G:8.21% B:0.25%) 63.21% (G:14.75% B:0.55%)  

2.  2ply  8/2  eq: 0.593 (0.253) 
 Player: Opponent:  30.56% (G:6.82% B:0.23%) 69.44% (G:21.50% B:0.89%)  

3.  2ply  13/11 6/2  eq: 0.651 (0.312) 
 Player: Opponent:  29.07% (G:6.52% B:0.29%) 70.93% (G:22.90% B:1.05%)  

4.  1ply  6/2 5/3  eq: 0.653 (0.314) 
 Player: Opponent:  29.43% (G:6.59% B:0.22%) 70.57% (G:25.32% B:1.33%)  

5.  1ply  23/21 13/9  eq: 0.668 (0.329) 
 Player: Opponent:  29.11% (G:6.21% B:0.24%) 70.89% (G:25.15% B:1.40%)  



51: 21/15 


1.  4ply  21/15  eq: +0.280 
 Player: Opponent:  62.11% (G:14.93% B:0.59%) 37.89% (G:9.39% B:0.31%)  

2.  4ply  11/5  eq: +0.221 (0.059) 
 Player: Opponent:  59.71% (G:14.46% B:0.58%) 40.29% (G:8.57% B:0.24%)  

3.  3ply  21/16 6/5  eq: +0.193 (0.086) 
 Player: Opponent:  60.04% (G:14.53% B:0.51%) 39.96% (G:10.16% B:0.37%)  

4.  3ply  21/16 11/10  eq: +0.136 (0.144) 
 Player: Opponent:  59.30% (G:14.87% B:0.57%) 40.70% (G:11.62% B:0.45%)  

5.  2ply  13/7  eq: 0.048 (0.327) 
 Player: Opponent:  53.77% (G:12.92% B:0.48%) 46.23% (G:12.14% B:0.43%)  



41: 6/1 


1.  XG Roller++  6/1  eq: 0.619 
 Player: Opponent:  29.09% (G:6.40% B:0.15%) 70.91% (G:18.87% B:0.75%)  

2.  XG Roller++  8/3  eq: 0.625 (0.005) 
 Player: Opponent:  28.76% (G:6.88% B:0.27%) 71.24% (G:21.39% B:0.85%)  

3.  XG Roller++  22/21 6/2  eq: 0.635 (0.016) 
 Player: Opponent:  29.00% (G:5.23% B:0.11%) 71.00% (G:15.99% B:0.52%)  

4.  3ply  13/8  eq: 0.738 (0.118) 
 Player: Opponent:  26.95% (G:5.56% B:0.22%) 73.05% (G:19.63% B:0.65%)  

5.  2ply  5/1 2/1  eq: 0.829 (0.209) 
 Player: Opponent:  24.38% (G:4.99% B:0.10%) 75.62% (G:23.37% B:0.87%)  



65: 21/16 21/15 


1.  XG Roller++  21/16 21/15  eq: +0.559 
 Player: Opponent:  69.66% (G:17.70% B:0.76%) 30.34% (G:7.98% B:0.20%)  

2.  XG Roller++  21/15 11/6  eq: +0.544 (0.015) 
 Player: Opponent:  68.41% (G:18.56% B:0.87%) 31.59% (G:7.63% B:0.18%)  

3.  3ply  15/10 11/5  eq: +0.474 (0.085) 
 Player: Opponent:  66.47% (G:17.66% B:0.62%) 33.53% (G:7.10% B:0.16%)  

4.  2ply  15/9 11/6  eq: +0.370 (0.189) 
 Player: Opponent:  63.92% (G:18.07% B:0.85%) 36.08% (G:8.55% B:0.21%)  

5.  2ply  13/8 13/7  eq: +0.344 (0.214) 
 Player: Opponent:  63.20% (G:16.86% B:0.81%) 36.80% (G:8.34% B:0.24%)  



42: 13/11 13/9* 


1.  XG Roller++  13/9* 9/7  eq: 0.622 
 Player: Opponent:  28.29% (G:8.58% B:0.20%) 71.71% (G:24.35% B:1.04%)  

2.  XG Roller++  13/11 13/9*  eq: 0.653 (0.030) 
 Player: Opponent:  27.37% (G:7.87% B:0.17%) 72.63% (G:22.02% B:0.85%)  

3.  4ply  13/9* 8/6  eq: 0.690 (0.067) 
 Player: Opponent:  26.77% (G:8.64% B:0.19%) 73.23% (G:26.38% B:1.22%)  

4.  3ply  8/6 8/4  eq: 0.801 (0.179) 
 Player: Opponent:  24.83% (G:5.17% B:0.15%) 75.17% (G:15.63% B:0.56%)  

5.  2ply  5/3 5/1  eq: 0.825 (0.203) 
 Player: Opponent:  23.49% (G:4.60% B:0.06%) 76.51% (G:16.49% B:0.54%)  



42: Bar/21 13/11 


1.  3ply  Bar/21 13/11  eq: +0.490 
 Player: Opponent:  68.86% (G:17.00% B:0.67%) 31.14% (G:9.55% B:0.20%)  

2.  3ply  Bar/21 11/9  eq: +0.320 (0.170) 
 Player: Opponent:  66.15% (G:18.51% B:0.78%) 33.85% (G:13.50% B:0.30%)  

3.  2ply  Bar/21 15/13  eq: +0.209 (0.282) 
 Player: Opponent:  63.19% (G:17.14% B:0.91%) 36.81% (G:14.92% B:0.59%)  

4.  1ply  Bar/21 7/5  eq: 0.183 (0.674) 
 Player: Opponent:  55.28% (G:16.02% B:0.76%) 44.72% (G:21.36% B:0.99%)  

5.  1ply  Bar/21 8/6  eq: 0.226 (0.716) 
 Player: Opponent:  54.00% (G:15.23% B:0.71%) 46.00% (G:21.34% B:0.90%)  



53: 9/4* 4/1 


1.  3ply  9/4* 4/1  eq: 0.202 
 Player: Opponent:  37.18% (G:14.66% B:0.25%) 62.82% (G:14.11% B:0.52%)  

2.  1ply  11/8 9/4*  eq: 0.604 (0.402) 
 Player: Opponent:  29.36% (G:8.10% B:0.26%) 70.64% (G:20.72% B:0.98%)  

3.  1ply  9/4* 8/5  eq: 0.624 (0.422) 
 Player: Opponent:  29.08% (G:8.65% B:0.24%) 70.92% (G:24.79% B:1.52%)  

4.  1ply  11/6 9/6  eq: 0.660 (0.458) 
 Player: Opponent:  27.99% (G:4.82% B:0.14%) 72.01% (G:11.96% B:0.43%)  

5.  1ply  21/16 9/6  eq: 0.748 (0.547) 
 Player: Opponent:  25.98% (G:6.04% B:0.23%) 74.02% (G:20.93% B:1.19%)  



31: Bar/22 15/14* 


1.  3ply  Bar/22 15/14*  eq: +0.841 
 Player: Opponent:  77.63% (G:25.03% B:0.73%) 22.37% (G:7.29% B:0.25%)  

2.  1ply  Bar/21  eq: +0.311 (0.530) 
 Player: Opponent:  65.15% (G:14.66% B:0.52%) 34.85% (G:12.85% B:0.16%)  

3.  1ply  Bar/22 13/12  eq: +0.296 (0.545) 
 Player: Opponent:  64.67% (G:14.51% B:0.55%) 35.33% (G:12.81% B:0.14%)  

4.  1ply  Bar/22 6/5  eq: +0.279 (0.561) 
 Player: Opponent:  64.43% (G:14.69% B:0.54%) 35.57% (G:13.30% B:0.16%)  

5.  1ply  Bar/22 11/10  eq: 0.119 (0.960) 
 Player: Opponent:  58.57% (G:14.40% B:0.54%) 41.43% (G:23.05% B:0.85%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 1.073 
 Player: Opponent:  17.79% (G:2.92% B:0.07%) 82.21% (G:25.97% B:0.78%)  



Double/Take 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
82.65% (G:28.21% B:0.83%) 
83.18% (G:26.99% B:0.79%) 
Opponent Winning Chances: 
17.35% (G:3.07% B:0.06%) 
16.82% (G:2.69% B:0.05%) 
Cubeless Equities 
+1.121 
+1.876 
Cubeful Equities 
No double:  +1.093  
Double/Take:  +1.285 (+0.191)  
Double/Pass:  +1.000 (0.093) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 32.8% 


54: 14/9 13/9 


1.  3ply  14/9 13/9  eq: +0.483 
 Player: Opponent:  86.00% (G:29.24% B:0.77%) 14.00% (G:1.80% B:0.02%)  

2.  3ply  22/13  eq: +0.376 (0.107) 
 Player: Opponent:  83.09% (G:21.98% B:0.55%) 16.91% (G:2.14% B:0.02%)  

3.  3ply  15/10 14/10  eq: +0.352 (0.131) 
 Player: Opponent:  82.56% (G:24.68% B:0.66%) 17.44% (G:2.48% B:0.03%)  

4.  2ply  22/18 13/8  eq: +0.167 (0.316) 
 Player: Opponent:  78.24% (G:21.61% B:0.71%) 21.76% (G:4.73% B:0.14%)  

5.  1ply  15/11 13/8  eq: +0.102 (0.381) 
 Player: Opponent:  76.46% (G:21.17% B:0.64%) 23.54% (G:4.94% B:0.05%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
14.52% (G:1.75% B:0.03%) 
14.52% (G:1.75% B:0.03%) 
Opponent Winning Chances: 
85.48% (G:30.36% B:0.97%) 
85.48% (G:30.37% B:0.97%) 
Cubeless Equities 
0.683 
0.465 
Cubeful Equities 
No redouble:  0.466 (0.000)  
Redouble/Take:  0.465  
Redouble/Pass:  +1.000 (+1.465) 

Best Cube action: Redouble / Take 


52: Bar/23 8/3* 


1.  3ply  Bar/23 8/3*  eq: 0.439 
 Player: Opponent:  14.96% (G:2.49% B:0.04%) 85.04% (G:34.25% B:1.50%)  

2.  2ply  Bar/23 6/1  eq: 0.651 (0.212) 
 Player: Opponent:  9.70% (G:0.61% B:0.00%) 90.30% (G:34.29% B:1.10%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: +0.434 
 Player: Opponent:  85.29% (G:30.49% B:0.93%) 14.71% (G:3.43% B:0.04%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
15.62% (G:3.37% B:0.04%) 
15.61% (G:3.35% B:0.03%) 
Opponent Winning Chances: 
84.38% (G:29.48% B:1.14%) 
84.39% (G:29.46% B:1.14%) 
Cubeless Equities 
0.637 
0.403 
Cubeful Equities 
No redouble:  0.403  
Redouble/Take:  0.403  
Redouble/Pass:  +1.000 (+1.403) 

Best Cube action: Redouble / Take 


33: 8/2 6/3(2) 


1.  4ply  8/2 6/3(2)  eq: 0.597 
 Player: Opponent:  11.05% (G:1.10% B:0.01%) 88.95% (G:29.02% B:0.77%)  

2.  4ply  6/3(2) 5/2(2)  eq: 0.673 (0.076) 
 Player: Opponent:  9.08% (G:0.61% B:0.00%) 90.92% (G:32.68% B:0.92%)  

3.  3ply  8/2 6/3 5/2  eq: 0.679 (0.082) 
 Player: Opponent:  8.93% (G:0.55% B:0.00%) 91.07% (G:42.17% B:1.74%)  

4.  3ply  8/2 5/2(2)  eq: 0.714 (0.117) 
 Player: Opponent:  7.98% (G:0.44% B:0.00%) 92.02% (G:41.05% B:1.46%)  



32: Cannot Move 


1.  3ply  Cannot Move  eq: +0.562 
 Player: Opponent:  88.18% (G:29.19% B:0.77%) 11.82% (G:1.59% B:0.01%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
12.65% (G:1.36% B:0.01%) 
12.65% (G:1.36% B:0.01%) 
Opponent Winning Chances: 
87.35% (G:29.08% B:0.96%) 
87.35% (G:29.08% B:0.96%) 
Cubeless Equities 
0.726 
0.537 
Cubeful Equities 
No redouble:  0.537 (0.000)  
Redouble/Take:  0.537  
Redouble/Pass:  +1.000 (+1.537) 

Best Cube action: Redouble / Take 


42: 5/3 5/1 


1.  XG Roller++  5/3 5/1  eq: 0.652 
 Player: Opponent:  9.71% (G:0.53% B:0.00%) 90.29% (G:31.02% B:0.94%)  

2.  XG Roller++  23/21 5/1  eq: 0.696 (0.044) 
 Player: Opponent:  8.50% (G:0.44% B:0.00%) 91.50% (G:35.66% B:0.85%)  

3.  4ply  5/1 3/1  eq: 0.729 (0.077) 
 Player: Opponent:  7.55% (G:0.45% B:0.00%) 92.45% (G:37.58% B:1.01%)  



53: Bar/17 


1.  XG Roller++  Bar/20 11/8  eq: +0.659 
 Player: Opponent:  90.45% (G:31.92% B:0.98%) 9.55% (G:0.49% B:0.00%)  

2.  XG Roller++  Bar/17  eq: +0.650 (0.008) 
 Player: Opponent:  90.21% (G:31.48% B:0.99%) 9.79% (G:0.47% B:0.00%)  

3.  XG Roller++  Bar/20 15/12  eq: +0.648 (0.011) 
 Player: Opponent:  90.13% (G:30.78% B:0.95%) 9.87% (G:0.46% B:0.00%)  

4.  XG Roller++  Bar/20 6/3*  eq: +0.637 (0.022) 
 Player: Opponent:  89.89% (G:33.65% B:1.05%) 10.11% (G:0.61% B:0.00%)  

5.  2ply  Bar/20 9/6  eq: +0.466 (0.192) 
 Player: Opponent:  85.77% (G:32.37% B:1.14%) 14.23% (G:2.37% B:0.02%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
9.70% (G:0.44% B:0.00%) 
9.69% (G:0.44% B:0.00%) 
Opponent Winning Chances: 
90.30% (G:29.55% B:0.83%) 
90.31% (G:29.60% B:0.83%) 
Cubeless Equities 
0.799 
0.654 
Cubeful Equities 
No redouble:  0.654  
Redouble/Take:  0.654  
Redouble/Pass:  +1.000 (+1.654) 

Best Cube action: Redouble / Take 


21: 23/22 3/1 


1.  XG Roller++  23/21 22/21  eq: 0.642 
 Player: Opponent:  10.06% (G:0.41% B:0.00%) 89.94% (G:25.70% B:0.58%)  

2.  XG Roller++  23/22 3/1  eq: 0.679 (0.037) 
 Player: Opponent:  9.01% (G:0.35% B:0.00%) 90.99% (G:28.73% B:0.68%)  

3.  4ply  22/21 3/1  eq: 0.667 (0.025) 
 Player: Opponent:  9.35% (G:0.37% B:0.00%) 90.65% (G:30.19% B:0.68%)  

4.  4ply  23/21 2/1  eq: 0.671 (0.029) 
 Player: Opponent:  9.25% (G:0.35% B:0.00%) 90.75% (G:30.82% B:0.75%)  

5.  3ply  23/21 3/2  eq: 0.670 (0.028) 
 Player: Opponent:  9.26% (G:0.38% B:0.00%) 90.74% (G:35.88% B:1.09%)  



43: 15/8 


1.  XG Roller++  11/8 11/7  eq: +0.653 
 Player: Opponent:  90.27% (G:28.28% B:0.65%) 9.73% (G:0.39% B:0.00%)  

2.  XG Roller++  15/8  eq: +0.648 (0.005) 
 Player: Opponent:  90.12% (G:27.41% B:0.64%) 9.88% (G:0.40% B:0.00%)  

3.  XG Roller++  15/12 11/7  eq: +0.647 (0.006) 
 Player: Opponent:  90.12% (G:27.71% B:0.65%) 9.88% (G:0.41% B:0.00%)  

4.  XG Roller++  17/14 11/7  eq: +0.641 (0.012) 
 Player: Opponent:  89.94% (G:27.61% B:0.66%) 10.06% (G:0.47% B:0.00%)  

5.  XG Roller++  17/13 11/8  eq: +0.637 (0.017) 
 Player: Opponent:  89.81% (G:26.87% B:0.63%) 10.19% (G:0.45% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
10.12% (G:0.39% B:0.00%) 
10.12% (G:0.39% B:0.00%) 
Opponent Winning Chances: 
89.88% (G:27.45% B:0.66%) 
89.88% (G:27.47% B:0.67%) 
Cubeless Equities 
0.792 
0.640 
Cubeful Equities 
No redouble:  0.640 (0.000)  
Redouble/Take:  0.640  
Redouble/Pass:  +1.000 (+1.640) 

Best Cube action: Redouble / Take 


62: 21/15 3/1 


1.  XG Roller++  21/13  eq: 0.648 
 Player: Opponent:  9.90% (G:0.35% B:0.00%) 90.10% (G:25.29% B:0.63%)  

2.  XG Roller++  21/15 3/1  eq: 0.676 (0.028) 
 Player: Opponent:  9.11% (G:0.34% B:0.00%) 90.89% (G:28.37% B:0.76%)  



32: 17/12 


1.  XG Roller++  11/9 11/8  eq: +0.616 
 Player: Opponent:  89.22% (G:26.28% B:0.76%) 10.78% (G:0.46% B:0.00%)  

2.  XG Roller++  11/6  eq: +0.611 (0.005) 
 Player: Opponent:  89.09% (G:26.53% B:0.80%) 10.91% (G:0.50% B:0.00%)  

3.  XG Roller++  11/9 8/5  eq: +0.610 (0.005) 
 Player: Opponent:  89.09% (G:26.21% B:0.75%) 10.91% (G:0.50% B:0.00%)  

4.  XG Roller++  17/15 8/5  eq: +0.596 (0.019) 
 Player: Opponent:  88.68% (G:25.59% B:0.73%) 11.32% (G:0.51% B:0.00%)  

5.  XG Roller++  17/14 11/9  eq: +0.581 (0.034) 
 Player: Opponent:  88.27% (G:24.01% B:0.68%) 11.73% (G:0.54% B:0.00%)  

6.  XG Roller++  17/12  eq: +0.568 (0.048) 
 Player: Opponent:  87.86% (G:22.31% B:0.67%) 12.14% (G:0.49% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
12.18% (G:0.47% B:0.00%) 
12.17% (G:0.47% B:0.00%) 
Opponent Winning Chances: 
87.82% (G:21.89% B:0.71%) 
87.83% (G:21.87% B:0.71%) 
Cubeless Equities 
0.749 
0.567 
Cubeful Equities 
No redouble:  0.567  
Redouble/Take:  0.567  
Redouble/Pass:  +1.000 (+1.567) 

Best Cube action: Redouble / Take 


31: 15/11 


1.  XG Roller++  22/21 15/12  eq: 0.559 
 Player: Opponent:  12.48% (G:0.31% B:0.00%) 87.52% (G:16.56% B:0.47%)  

2.  XG Roller++  15/11  eq: 0.618 (0.060) 
 Player: Opponent:  10.77% (G:0.32% B:0.00%) 89.23% (G:20.56% B:0.57%)  

3.  4ply  15/12 2/1  eq: 0.647 (0.089) 
 Player: Opponent:  9.97% (G:0.25% B:0.00%) 90.03% (G:21.08% B:0.46%)  

4.  4ply  15/12 3/2  eq: 0.667 (0.109) 
 Player: Opponent:  9.39% (G:0.29% B:0.00%) 90.61% (G:24.56% B:0.65%)  



43: 12/5 


1.  XG Roller++  11/7 8/5  eq: +0.591 
 Player: Opponent:  88.50% (G:21.19% B:0.63%) 11.50% (G:0.43% B:0.00%)  

2.  XG Roller++  12/9 11/7  eq: +0.585 (0.005) 
 Player: Opponent:  88.31% (G:20.40% B:0.54%) 11.69% (G:0.36% B:0.00%)  

3.  XG Roller++  12/5  eq: +0.585 (0.006) 
 Player: Opponent:  88.32% (G:20.72% B:0.62%) 11.68% (G:0.39% B:0.00%)  

4.  XG Roller++  11/8 11/7  eq: +0.581 (0.010) 
 Player: Opponent:  88.23% (G:21.59% B:0.66%) 11.77% (G:0.45% B:0.00%)  

5.  XG Roller++  12/9 6/2  eq: +0.573 (0.018) 
 Player: Opponent:  88.00% (G:21.18% B:0.62%) 12.00% (G:0.47% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
11.75% (G:0.39% B:0.00%) 
11.60% (G:0.36% B:0.00%) 
Opponent Winning Chances: 
88.25% (G:19.73% B:0.61%) 
88.40% (G:20.18% B:0.62%) 
Cubeless Equities 
0.759 
0.589 
Cubeful Equities 
No redouble:  0.583  
Redouble/Take:  0.583  
Redouble/Pass:  +1.000 (+1.583) 

Best Cube action: Redouble / Take 


41: 11/7 2/1 


1.  XG Roller++  22/21 11/7  eq: 0.615 
 Player: Opponent:  10.91% (G:0.20% B:0.00%) 89.09% (G:17.48% B:0.46%)  

2.  XG Roller++  11/6  eq: 0.633 (0.018) 
 Player: Opponent:  10.35% (G:0.31% B:0.00%) 89.65% (G:21.57% B:0.66%)  

3.  XG Roller++  11/7 2/1  eq: 0.635 (0.020) 
 Player: Opponent:  10.31% (G:0.30% B:0.00%) 89.69% (G:21.33% B:0.63%)  

4.  4ply  11/7 3/2  eq: 0.688 (0.073) 
 Player: Opponent:  8.77% (G:0.32% B:0.00%) 91.23% (G:26.02% B:0.78%)  



41: 8/7 6/2 


1.  XG Roller++  11/6  eq: +0.609 
 Player: Opponent:  88.96% (G:21.77% B:0.68%) 11.04% (G:0.34% B:0.00%)  

2.  XG Roller++  11/10 11/7  eq: +0.606 (0.002) 
 Player: Opponent:  88.95% (G:23.97% B:0.74%) 11.05% (G:0.43% B:0.00%)  

3.  XG Roller++  11/7 8/7  eq: +0.604 (0.005) 
 Player: Opponent:  88.86% (G:21.12% B:0.62%) 11.14% (G:0.37% B:0.00%)  

4.  XG Roller++  11/7 6/5  eq: +0.603 (0.005) 
 Player: Opponent:  88.82% (G:21.29% B:0.61%) 11.18% (G:0.35% B:0.00%)  

5.  XG Roller++  11/10 6/2  eq: +0.596 (0.012) 
 Player: Opponent:  88.72% (G:25.16% B:0.79%) 11.28% (G:0.56% B:0.00%)  

6.  XG Roller++  8/7 6/2  eq: +0.594 (0.014) 
 Player: Opponent:  88.58% (G:21.78% B:0.64%) 11.42% (G:0.39% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
11.36% (G:0.38% B:0.00%) 
11.37% (G:0.37% B:0.00%) 
Opponent Winning Chances: 
88.64% (G:22.32% B:0.71%) 
88.63% (G:22.35% B:0.72%) 
Cubeless Equities 
0.767 
0.596 
Cubeful Equities 
No redouble:  0.597 (0.000)  
Redouble/Take:  0.596  
Redouble/Pass:  +1.000 (+1.596) 

Best Cube action: Redouble / Take 


22: 7/1 3/1 


1.  3ply  7/1 3/1  eq: 0.641 
 Player: Opponent:  9.91% (G:0.80% B:0.00%) 90.09% (G:31.59% B:1.01%)  



52: 11/9 11/6 


1.  XG Roller++  11/9 7/2  eq: +0.682 
 Player: Opponent:  91.01% (G:25.82% B:0.74%) 8.99% (G:0.23% B:0.00%)  

2.  XG Roller++  11/6 7/5  eq: +0.680 (0.002) 
 Player: Opponent:  90.99% (G:26.82% B:0.86%) 9.01% (G:0.26% B:0.00%)  

3.  XG Roller++  11/9 11/6  eq: +0.675 (0.007) 
 Player: Opponent:  90.82% (G:25.15% B:0.75%) 9.18% (G:0.24% B:0.00%)  

4.  XG Roller++  8/6 7/2  eq: +0.654 (0.028) 
 Player: Opponent:  90.38% (G:34.08% B:1.36%) 9.62% (G:0.58% B:0.00%)  

5.  XG Roller++  7/5 7/2  eq: +0.650 (0.032) 
 Player: Opponent:  90.26% (G:32.73% B:1.23%) 9.74% (G:0.60% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
8.62% (G:0.24% B:0.00%) 
8.62% (G:0.24% B:0.00%) 
Opponent Winning Chances: 
91.38% (G:24.89% B:0.83%) 
91.38% (G:24.91% B:0.83%) 
Cubeless Equities 
0.824 
0.695 
Cubeful Equities 
No redouble:  0.695 (0.000)  
Redouble/Take:  0.695  
Redouble/Pass:  +1.000 (+1.695) 

Best Cube action: Redouble / Take 


66: 21/15 21/3 


1.  4ply  21/15 21/3  eq: 0.374 
 Player: Opponent:  17.67% (G:0.49% B:0.00%) 82.33% (G:12.32% B:0.42%)  

2.  4ply  21/9(2)  eq: 0.437 (0.063) 
 Player: Opponent:  15.90% (G:0.43% B:0.00%) 84.10% (G:13.86% B:0.52%)  



65: 9/4 7/1 


1.  4ply  9/4 7/1  eq: +0.359 
 Player: Opponent:  82.04% (G:13.50% B:0.32%) 17.96% (G:0.82% B:0.00%)  

2.  4ply  7/1 6/1  eq: +0.282 (0.077) 
 Player: Opponent:  79.91% (G:12.59% B:0.31%) 20.09% (G:0.98% B:0.00%)  

3.  3ply  9/4 8/2  eq: +0.192 (0.167) 
 Player: Opponent:  77.77% (G:18.22% B:0.88%) 22.23% (G:1.99% B:0.01%)  

4.  2ply  7/2 7/1  eq: +0.161 (0.198) 
 Player: Opponent:  76.80% (G:16.61% B:0.60%) 23.20% (G:1.78% B:0.00%)  

5.  2ply  8/2 7/2  eq: +0.083 (0.276) 
 Player: Opponent:  74.50% (G:14.56% B:0.53%) 25.50% (G:1.62% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
17.28% (G:0.59% B:0.00%) 
17.30% (G:0.58% B:0.00%) 
Opponent Winning Chances: 
82.72% (G:12.81% B:0.36%) 
82.70% (G:12.74% B:0.35%) 
Cubeless Equities 
0.646 
0.386 
Cubeful Equities 
No redouble:  0.387 (0.001)  
Redouble/Take:  0.386  
Redouble/Pass:  +1.000 (+1.386) 

Best Cube action: Redouble / Take 


32: 15/10 


1.  4ply  15/10  eq: 0.399 
 Player: Opponent:  17.04% (G:0.30% B:0.00%) 82.96% (G:11.80% B:0.34%)  

2.  4ply  15/12 3/1  eq: 0.494 (0.095) 
 Player: Opponent:  14.40% (G:0.15% B:0.00%) 85.60% (G:12.89% B:0.38%)  



53: 7/4 7/2 


1.  XG Roller++  7/4 7/2  eq: +0.392 
 Player: Opponent:  82.71% (G:10.69% B:0.26%) 17.29% (G:0.22% B:0.00%)  

2.  XG Roller++  9/6 9/4  eq: +0.391 (0.001) 
 Player: Opponent:  82.77% (G:9.17% B:0.21%) 17.23% (G:0.37% B:0.00%)  

3.  XG Roller++  6/1 5/2  eq: +0.376 (0.016) 
 Player: Opponent:  82.35% (G:10.28% B:0.25%) 17.65% (G:0.43% B:0.00%)  

4.  4ply  7/4 6/1  eq: +0.331 (0.061) 
 Player: Opponent:  81.21% (G:14.38% B:0.42%) 18.79% (G:0.75% B:0.00%)  

5.  3ply  9/4 5/2  eq: +0.273 (0.118) 
 Player: Opponent:  79.55% (G:13.09% B:0.47%) 20.45% (G:0.71% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
17.24% (G:0.23% B:0.00%) 
17.32% (G:0.26% B:0.00%) 
Opponent Winning Chances: 
82.76% (G:10.36% B:0.30%) 
82.68% (G:10.42% B:0.30%) 
Cubeless Equities 
0.652 
0.390 
Cubeful Equities 
No redouble:  0.397 (0.007)  
Redouble/Take:  0.390  
Redouble/Pass:  +1.000 (+1.390) 

Best Cube action: Redouble / Take 


55: 10/5 


1.  3ply  10/5  eq: 0.412 
 Player: Opponent:  16.65% (G:0.32% B:0.00%) 83.35% (G:10.97% B:0.20%)  



51: 6/1 5/4 


1.  4ply  6/1 5/4  eq: +0.443 
 Player: Opponent:  84.17% (G:9.77% B:0.13%) 15.83% (G:0.20% B:0.00%)  

2.  4ply  9/8 9/4  eq: +0.383 (0.060) 
 Player: Opponent:  82.46% (G:8.89% B:0.17%) 17.54% (G:0.21% B:0.00%)  

3.  4ply  6/1 2/1  eq: +0.359 (0.083) 
 Player: Opponent:  81.86% (G:8.90% B:0.11%) 18.14% (G:0.37% B:0.00%)  

4.  3ply  9/4 2/1  eq: +0.303 (0.140) 
 Player: Opponent:  80.36% (G:15.17% B:0.49%) 19.64% (G:0.64% B:0.00%)  

5.  3ply  8/2  eq: +0.297 (0.146) 
 Player: Opponent:  80.25% (G:16.32% B:0.61%) 19.75% (G:0.77% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
15.33% (G:0.20% B:0.00%) 
15.34% (G:0.20% B:0.00%) 
Opponent Winning Chances: 
84.67% (G:8.62% B:0.18%) 
84.66% (G:8.63% B:0.18%) 
Cubeless Equities 
0.690 
0.460 
Cubeful Equities 
No redouble:  0.465 (0.004)  
Redouble/Take:  0.460  
Redouble/Pass:  +1.000 (+1.460) 

Best Cube action: Redouble / Take 


31: 5/1 


1.  4ply  5/1  eq: 0.451 
 Player: Opponent:  15.62% (G:0.15% B:0.00%) 84.38% (G:8.42% B:0.19%)  

2.  4ply  5/2 3/2  eq: 0.521 (0.070) 
 Player: Opponent:  13.62% (G:0.12% B:0.00%) 86.38% (G:11.05% B:0.27%)  



11: 9/7(2) 


1.  XG Roller++  8/6(2)  eq: +0.510 
 Player: Opponent:  86.07% (G:9.91% B:0.20%) 13.93% (G:0.12% B:0.00%)  

2.  XG Roller++  9/7(2)  eq: +0.490 (0.021) 
 Player: Opponent:  85.49% (G:5.83% B:0.06%) 14.51% (G:0.08% B:0.00%)  

3.  4ply  9/8 9/6  eq: +0.433 (0.077) 
 Player: Opponent:  83.83% (G:7.79% B:0.09%) 16.17% (G:0.08% B:0.00%)  

4.  3ply  8/7 8/5  eq: +0.395 (0.116) 
 Player: Opponent:  82.84% (G:14.09% B:0.40%) 17.16% (G:0.33% B:0.00%)  

5.  2ply  9/5  eq: +0.310 (0.201) 
 Player: Opponent:  80.40% (G:12.30% B:0.20%) 19.60% (G:0.27% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
14.44% (G:0.05% B:0.00%) 
14.44% (G:0.03% B:0.00%) 
Opponent Winning Chances: 
85.56% (G:5.39% B:0.04%) 
85.56% (G:5.38% B:0.04%) 
Cubeless Equities 
0.711 
0.494 
Cubeful Equities 
No redouble:  0.513 (0.018)  
Redouble/Take:  0.494  
Redouble/Pass:  +1.000 (+1.494) 

Best Cube action: Redouble / Take 


32: 3/1 


1.  3ply  3/1  eq: 0.580 
 Player: Opponent:  11.99% (G:0.03% B:0.00%) 88.01% (G:7.11% B:0.03%)  



65: 7/2 7/1 


1.  3ply  7/2 7/1  eq: +0.591 
 Player: Opponent:  88.35% (G:5.29% B:0.06%) 11.65% (G:0.05% B:0.00%)  

2.  2ply  8/2 7/2  eq: +0.293 (0.298) 
 Player: Opponent:  79.94% (G:13.29% B:0.18%) 20.06% (G:0.31% B:0.00%)  

3.  1ply  8/2 6/1  eq: +0.119 (0.473) 
 Player: Opponent:  74.99% (G:7.11% B:0.05%) 25.01% (G:0.39% B:0.00%)  

4.  1ply  7/1 6/1  eq: +0.104 (0.487) 
 Player: Opponent:  74.65% (G:7.37% B:0.08%) 25.35% (G:0.58% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
11.77% (G:0.06% B:0.00%) 
11.77% (G:0.06% B:0.00%) 
Opponent Winning Chances: 
88.23% (G:4.66% B:0.04%) 
88.23% (G:4.66% B:0.04%) 
Cubeless Equities 
0.764 
0.587 
Cubeful Equities 
No redouble:  0.588 (0.001)  
Redouble/Take:  0.587  
Redouble/Pass:  +1.000 (+1.587) 

Best Cube action: Redouble / Take 


21: 3/1 2/1 


1.  3ply  3/1 2/1  eq: 0.687 
 Player: Opponent:  8.95% (G:0.02% B:0.00%) 91.05% (G:6.46% B:0.01%)  



21: 4/1 


1.  XG Roller++  8/7 8/6  eq: +0.608 
 Player: Opponent:  88.81% (G:9.21% B:0.14%) 11.19% (G:0.03% B:0.00%)  

2.  XG Roller++  8/6 2/1  eq: +0.590 (0.018) 
 Player: Opponent:  88.30% (G:10.02% B:0.20%) 11.70% (G:0.07% B:0.00%)  

3.  XG Roller++  6/5 6/4  eq: +0.589 (0.018) 
 Player: Opponent:  88.28% (G:5.35% B:0.03%) 11.72% (G:0.03% B:0.00%)  

4.  XG Roller++  8/5  eq: +0.589 (0.019) 
 Player: Opponent:  88.27% (G:9.74% B:0.17%) 11.73% (G:0.05% B:0.00%)  

5.  XG Roller++  4/1  eq: +0.580 (0.028) 
 Player: Opponent:  88.00% (G:4.54% B:0.02%) 12.00% (G:0.02% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
11.45% (G:0.02% B:0.00%) 
11.44% (G:0.02% B:0.00%) 
Opponent Winning Chances: 
88.55% (G:4.38% B:0.03%) 
88.56% (G:4.38% B:0.03%) 
Cubeless Equities 
0.771 
0.599 
Cubeful Equities 
No redouble:  0.599 (0.000)  
Redouble/Take:  0.599  
Redouble/Pass:  +1.000 (+1.599) 

Best Cube action: Redouble / Take 


64: 22/12 


1.  3ply  22/12  eq: 0.587 
 Player: Opponent:  11.77% (G:0.05% B:0.00%) 88.23% (G:5.00% B:0.03%)  

2.  3ply  22/18 22/16  eq: 0.686 (0.099) 
 Player: Opponent:  8.98% (G:0.00% B:0.00%) 91.02% (G:2.60% B:0.01%)  



44: 8/Off(2) 


1.  3ply  8/Off(2)  eq: +0.834 
 Player: Opponent:  95.25% (G:1.01% B:0.00%) 4.75% (G:0.00% B:0.00%)  

2.  3ply  8/4(2) 6/2(2)  eq: +0.709 (0.125) 
 Player: Opponent:  91.67% (G:0.17% B:0.00%) 8.33% (G:0.00% B:0.00%)  

3.  2ply  8/4(2) 5/1(2)  eq: +0.588 (0.246) 
 Player: Opponent:  88.22% (G:0.61% B:0.00%) 11.78% (G:0.00% B:0.00%)  

4.  1ply  8/4 8/Off 6/2  eq: +0.484 (0.350) 
 Player: Opponent:  85.25% (G:0.67% B:0.00%) 14.75% (G:0.00% B:0.00%)  

5.  1ply  8/4 8/Off 5/1  eq: +0.385 (0.449) 
 Player: Opponent:  82.42% (G:0.71% B:0.00%) 17.58% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
4.56% (G:0.00% B:0.00%) 
4.56% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
95.44% (G:1.28% B:0.01%) 
95.44% (G:1.28% B:0.01%) 
Cubeless Equities 
0.909 
0.841 
Cubeful Equities 
No redouble:  0.841 (0.000)  
Redouble/Take:  0.841  
Redouble/Pass:  +1.000 (+1.841) 

Best Cube action: Redouble / Take 


31: 12/8 


1.  XG Roller++  12/8  eq: 0.890 
 Player: Opponent:  3.15% (G:0.00% B:0.00%) 96.85% (G:1.66% B:0.01%)  

2.  XG Roller++  12/9 2/1  eq: 0.892 (0.002) 
 Player: Opponent:  3.08% (G:0.00% B:0.00%) 96.92% (G:1.97% B:0.01%)  



43: 4/1 4/Off 


1.  4ply  4/1 4/Off  eq: +0.860 
 Player: Opponent:  96.00% (G:0.91% B:0.00%) 4.00% (G:0.00% B:0.00%)  

2.  4ply  5/2 5/1  eq: +0.808 (0.052) 
 Player: Opponent:  94.52% (G:0.46% B:0.00%) 5.48% (G:0.00% B:0.00%)  

3.  2ply  6/2 6/3*  eq: +0.670 (0.190) 
 Player: Opponent:  90.57% (G:4.05% B:0.01%) 9.43% (G:0.00% B:0.00%)  

4.  1ply  5/2 4/Off  eq: +0.422 (0.438) 
 Player: Opponent:  83.47% (G:0.85% B:0.00%) 16.53% (G:0.00% B:0.00%)  

5.  1ply  6/2 5/2  eq: +0.374 (0.486) 
 Player: Opponent:  82.12% (G:0.42% B:0.00%) 17.88% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
3.86% (G:0.00% B:0.00%) 
3.86% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
96.14% (G:1.38% B:0.00%) 
96.14% (G:1.38% B:0.00%) 
Cubeless Equities 
0.923 
0.865 
Cubeful Equities 
No redouble:  0.865 (0.000)  
Redouble/Take:  0.865  
Redouble/Pass:  +1.000 (+1.865) 

Best Cube action: Redouble / Take 


53: 22/17 8/5 


1.  XG Roller++  22/14  eq: 0.940 
 Player: Opponent:  1.71% (G:0.00% B:0.00%) 98.29% (G:0.63% B:0.00%)  

2.  XG Roller++  22/17 8/5  eq: 0.941 (0.000) 
 Player: Opponent:  1.70% (G:0.00% B:0.00%) 98.30% (G:0.57% B:0.00%)  



65: 6/Off 5/Off 


1.  XG Roller++  6/Off 5/Off  eq: +0.974 
 Player: Opponent:  99.25% (G:0.62% B:0.00%) 0.75% (G:0.00% B:0.00%)  

2.  XG Roller++  6/1 6/Off  eq: +0.937 (0.037) 
 Player: Opponent:  98.19% (G:0.18% B:0.00%) 1.81% (G:0.00% B:0.00%)  



33: 17/5 


1.  XG Roller++  17/8 5/2  eq: 0.974 
 Player: Opponent:  0.75% (G:0.00% B:0.00%) 99.25% (G:0.10% B:0.00%)  

2.  XG Roller++  17/5  eq: 0.976 (0.002) 
 Player: Opponent:  0.68% (G:0.00% B:0.00%) 99.32% (G:0.08% B:0.00%)  



51: 5/Off 1/Off 


1.  4ply  5/Off 1/Off  eq: +0.977 
 Player: Opponent:  99.34% (G:0.00% B:0.00%) 0.66% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: +0.964 (0.013) 
 Player: Opponent:  98.97% (G:0.00% B:0.00%) 1.03% (G:0.00% B:0.00%)  

3.  4ply  5/Off 2/1  eq: +0.963 (0.014) 
 Player: Opponent:  98.93% (G:0.00% B:0.00%) 1.07% (G:0.00% B:0.00%)  

4.  4ply  6/1 5/4  eq: +0.924 (0.053) 
 Player: Opponent:  97.82% (G:0.00% B:0.00%) 2.18% (G:0.00% B:0.00%)  

5.  3ply  6/1 2/1  eq: +0.866 (0.111) 
 Player: Opponent:  96.16% (G:0.00% B:0.00%) 3.84% (G:0.00% B:0.00%)  



54: 5/1 5/Off 


1.  3ply  5/1 5/Off  eq: 0.982 
 Player: Opponent:  0.50% (G:0.00% B:0.00%) 99.50% (G:0.00% B:0.00%)  



32: 6/3 2/Off 


1.  4ply  6/3 2/Off  eq: +0.967 
 Player: Opponent:  99.06% (G:0.00% B:0.00%) 0.94% (G:0.00% B:0.00%)  

2.  4ply  6/1  eq: +0.967 (0.000) 
 Player: Opponent:  99.05% (G:0.00% B:0.00%) 0.95% (G:0.00% B:0.00%)  



65: 2/Off 1/Off 


1.  3ply  2/Off 1/Off  eq: 0.991 
 Player: Opponent:  0.27% (G:0.00% B:0.00%) 99.73% (G:0.00% B:0.00%)  



52: 3/Off 2/Off 


1.  4ply  3/Off 2/Off  eq: +0.989 
 Player: Opponent:  99.68% (G:0.00% B:0.00%) 0.32% (G:0.00% B:0.00%)  

2.  4ply  3/1 2/Off  eq: +0.989 
 Player: Opponent:  99.68% (G:0.00% B:0.00%) 0.32% (G:0.00% B:0.00%)  



61: 1/Off(2) 


1.  3ply  1/Off(2)  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



61: 2/Off 1/Off 


1.  4ply  2/Off 1/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  4ply  2/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  



Resigns the match 



