21: 13/11 6/5 


1.  Book^{1}  24/23 13/11  eq: 0.289 
 Player: Opponent:  49.92% (G:13.59% B:0.56%) 50.08% (G:13.03% B:0.52%)  

2.  Book^{1}  13/11 6/5  eq: 0.318 (0.029) 
 Player: Opponent:  50.09% (G:14.49% B:0.71%) 49.91% (G:14.41% B:0.85%)  

3.  Book^{1}  24/21  eq: 0.326 (0.037) 
 Player: Opponent:  49.25% (G:12.71% B:0.62%) 50.75% (G:14.00% B:0.51%)  

4.  Book^{1}  24/23 24/22  eq: 0.336 (0.047) 
 Player: Opponent:  48.87% (G:12.26% B:0.58%) 51.13% (G:13.78% B:0.47%)  

5.  Book^{1}  13/10  eq: 0.345 (0.056) 
 Player: Opponent:  48.80% (G:13.86% B:0.68%) 51.20% (G:14.22% B:0.69%)  


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



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
49.87% (G:13.88% B:0.78%) 
49.78% (G:13.87% B:0.77%) 
Opponent Winning Chances: 
50.13% (G:13.94% B:0.70%) 
50.22% (G:13.76% B:0.64%) 
Cubeless Equities 
+0.003 
+0.228 
Cubeful Equities 
No double:  +0.301  
Double/Take:  +0.243 (0.058)  
Double/Pass:  +1.000 (+0.699) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.1% 


31: 24/20* 


1.  3ply  24/20*  eq: +0.401 
 Player: Opponent:  52.48% (G:15.50% B:1.06%) 47.52% (G:11.49% B:0.44%)  

2.  3ply  8/5 6/5  eq: +0.286 (0.115) 
 Player: Opponent:  49.99% (G:14.35% B:0.76%) 50.01% (G:14.70% B:0.74%)  

3.  1ply  13/10 6/5  eq: +0.057 (0.344) 
 Player: Opponent:  44.13% (G:11.59% B:0.72%) 55.87% (G:17.52% B:1.35%)  

4.  1ply  24/23 13/10  eq: +0.052 (0.349) 
 Player: Opponent:  44.02% (G:11.43% B:0.66%) 55.98% (G:17.01% B:0.86%)  

5.  1ply  24/21 6/5  eq: +0.046 (0.356) 
 Player: Opponent:  44.35% (G:10.67% B:0.59%) 55.65% (G:17.28% B:0.87%)  



52: Bar/20 13/11 


1.  3ply  Bar/20 13/11  eq: 0.402 
 Player: Opponent:  47.23% (G:10.63% B:0.44%) 52.77% (G:14.49% B:0.75%)  

2.  2ply  Bar/18  eq: 0.553 (0.152) 
 Player: Opponent:  44.32% (G:9.40% B:0.35%) 55.68% (G:17.01% B:1.12%)  

3.  2ply  Bar/20 11/9  eq: 0.573 (0.172) 
 Player: Opponent:  44.14% (G:10.45% B:0.46%) 55.86% (G:17.40% B:1.29%)  

4.  2ply  Bar/23 11/6  eq: 0.579 (0.177) 
 Player: Opponent:  43.14% (G:10.07% B:0.38%) 56.86% (G:16.34% B:1.00%)  

5.  2ply  Bar/23 13/8  eq: 0.585 (0.184) 
 Player: Opponent:  43.82% (G:10.25% B:0.39%) 56.18% (G:17.44% B:1.26%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
52.68% (G:14.29% B:0.72%) 
52.68% (G:14.24% B:0.70%) 
Opponent Winning Chances: 
47.32% (G:10.69% B:0.44%) 
47.32% (G:10.60% B:0.43%) 
Cubeless Equities 
+0.090 
+0.366 
Cubeful Equities 
No double:  +0.400  
Double/Take:  +0.366 (0.035)  
Double/Pass:  +1.000 (+0.600) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 5.2% 


32: 13/11 8/5* 


1.  3ply  13/11 8/5*  eq: +0.281 
 Player: Opponent:  49.03% (G:14.19% B:1.01%) 50.97% (G:13.77% B:0.78%)  

2.  3ply  24/22 8/5*  eq: +0.206 (0.075) 
 Player: Opponent:  47.89% (G:12.74% B:0.78%) 52.11% (G:13.72% B:0.63%)  

3.  3ply  20/18 8/5*  eq: +0.193 (0.088) 
 Player: Opponent:  47.85% (G:12.52% B:0.74%) 52.15% (G:14.76% B:0.71%)  

4.  3ply  13/8  eq: +0.180 (0.101) 
 Player: Opponent:  47.74% (G:12.38% B:0.57%) 52.26% (G:13.57% B:0.51%)  

5.  3ply  20/15  eq: +0.180 (0.101) 
 Player: Opponent:  48.17% (G:11.69% B:0.53%) 51.83% (G:13.98% B:0.55%)  



41: Bar/20* 


1.  3ply  Bar/20*  eq: 0.201 
 Player: Opponent:  51.80% (G:12.52% B:0.62%) 48.20% (G:12.12% B:0.55%)  

2.  2ply  Bar/21 6/5*  eq: 0.501 (0.300) 
 Player: Opponent:  46.77% (G:11.50% B:0.60%) 53.23% (G:18.43% B:1.50%)  

3.  1ply  Bar/21 24/23  eq: 0.561 (0.360) 
 Player: Opponent:  44.23% (G:9.43% B:0.42%) 55.77% (G:17.38% B:0.81%)  

4.  1ply  Bar/21 8/7  eq: 0.701 (0.500) 
 Player: Opponent:  43.09% (G:9.33% B:0.47%) 56.91% (G:20.34% B:1.73%)  

5.  1ply  Bar/24 13/9  eq: 0.795 (0.594) 
 Player: Opponent:  41.36% (G:9.65% B:0.52%) 58.64% (G:21.33% B:1.96%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
48.07% (G:12.28% B:0.57%) 
48.02% (G:12.15% B:0.56%) 
Opponent Winning Chances: 
51.93% (G:13.16% B:0.70%) 
51.98% (G:13.11% B:0.69%) 
Cubeless Equities 
0.042 
+0.124 
Cubeful Equities 
No double:  +0.203  
Double/Take:  +0.133 (0.070)  
Double/Pass:  +1.000 (+0.797) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.5% 


43: Bar/22 24/20 


1.  3ply  Bar/22 24/20  eq: +0.156 
 Player: Opponent:  47.63% (G:10.74% B:0.41%) 52.37% (G:10.90% B:0.34%)  

2.  3ply  Bar/21 24/21  eq: +0.079 (0.077) 
 Player: Opponent:  45.15% (G:10.67% B:0.51%) 54.85% (G:13.41% B:0.48%)  

3.  3ply  Bar/21 11/8  eq: +0.074 (0.082) 
 Player: Opponent:  45.09% (G:10.69% B:0.51%) 54.91% (G:14.22% B:0.67%)  

4.  3ply  Bar/21 8/5*  eq: +0.025 (0.131) 
 Player: Opponent:  43.46% (G:11.33% B:0.73%) 56.54% (G:19.22% B:1.47%)  

5.  3ply  Bar/18  eq: 0.002 (0.159) 
 Player: Opponent:  43.08% (G:10.47% B:0.61%) 56.92% (G:18.82% B:1.27%)  



53: 8/3* 6/3 


1.  3ply  8/3* 6/3  eq: 0.190 
 Player: Opponent:  51.70% (G:11.54% B:0.39%) 48.30% (G:11.29% B:0.41%)  

2.  3ply  24/21 8/3*  eq: 0.324 (0.133) 
 Player: Opponent:  48.82% (G:10.25% B:0.32%) 51.18% (G:13.23% B:0.58%)  

3.  2ply  24/21 13/8  eq: 0.360 (0.170) 
 Player: Opponent:  47.18% (G:9.97% B:0.31%) 52.82% (G:13.92% B:0.63%)  

4.  2ply  24/21 20/15  eq: 0.367 (0.177) 
 Player: Opponent:  47.42% (G:9.29% B:0.32%) 52.58% (G:14.57% B:0.69%)  

5.  2ply  20/15 6/3*  eq: 0.375 (0.185) 
 Player: Opponent:  47.61% (G:9.62% B:0.34%) 52.39% (G:14.93% B:0.91%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
47.92% (G:11.23% B:0.40%) 
47.89% (G:11.21% B:0.41%) 
Opponent Winning Chances: 
52.08% (G:11.73% B:0.43%) 
52.11% (G:12.01% B:0.45%) 
Cubeless Equities 
0.042 
+0.103 
Cubeful Equities 
No double:  +0.182  
Double/Take:  +0.104 (0.078)  
Double/Pass:  +1.000 (+0.818) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.0% 


65: Bar/20 11/5* 


1.  XG Roller++  Bar/20 11/5*  eq: +0.166 
 Player: Opponent:  46.99% (G:11.48% B:0.39%) 53.01% (G:12.15% B:0.42%)  

2.  2ply  Bar/20 13/7  eq: +0.027 (0.139) 
 Player: Opponent:  44.18% (G:9.44% B:0.27%) 55.82% (G:13.51% B:0.44%)  

3.  1ply  Bar/20 8/2  eq: 0.155 (0.321) 
 Player: Opponent:  38.98% (G:8.16% B:0.38%) 61.02% (G:17.98% B:1.05%)  



42: Bar/23 24/20* 


1.  3ply  Bar/23 24/20*  eq: +0.010 
 Player: Opponent:  56.67% (G:13.32% B:0.40%) 43.33% (G:8.73% B:0.23%)  

2.  1ply  Bar/21 24/22  eq: 0.402 (0.412) 
 Player: Opponent:  46.72% (G:9.18% B:0.28%) 53.28% (G:14.85% B:0.54%)  

3.  1ply  Bar/21 13/11  eq: 0.437 (0.447) 
 Player: Opponent:  45.86% (G:9.11% B:0.29%) 54.14% (G:14.91% B:0.58%)  

4.  1ply  Bar/21 6/4  eq: 0.509 (0.519) 
 Player: Opponent:  44.98% (G:9.25% B:0.30%) 55.02% (G:16.33% B:0.81%)  

5.  1ply  Bar/23 13/9  eq: 0.608 (0.618) 
 Player: Opponent:  43.05% (G:9.07% B:0.29%) 56.95% (G:17.25% B:0.97%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
43.33% (G:8.73% B:0.23%) 
43.33% (G:8.68% B:0.22%) 
Opponent Winning Chances: 
56.67% (G:13.32% B:0.40%) 
56.67% (G:13.20% B:0.40%) 
Cubeless Equities 
0.169 
0.136 
Cubeful Equities 
No double:  0.010  
Double/Take:  0.134 (0.125)  
Double/Pass:  +1.000 (+1.010) 

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


62: Bar/23 13/7 


1.  3ply  Bar/23 13/7  eq: 0.115 
 Player: Opponent:  40.51% (G:8.11% B:0.23%) 59.49% (G:17.38% B:0.64%)  

2.  3ply  Bar/23 8/2*  eq: 0.167 (0.052) 
 Player: Opponent:  39.14% (G:7.94% B:0.24%) 60.86% (G:20.06% B:0.84%)  



65: 24/18* 23/18 


1.  XG Roller+  24/18* 23/18  eq: +0.129 
 Player: Opponent:  60.43% (G:18.26% B:0.79%) 39.57% (G:8.64% B:0.25%)  

2.  XG Roller+  23/18* 20/14  eq: +0.093 (0.036) 
 Player: Opponent:  59.46% (G:19.16% B:0.86%) 40.54% (G:9.04% B:0.32%)  

3.  3ply  24/18* 18/13  eq: +0.120 (0.009) 
 Player: Opponent:  59.65% (G:18.67% B:0.73%) 40.35% (G:8.30% B:0.24%)  

4.  3ply  24/18* 20/15  eq: +0.112 (0.016) 
 Player: Opponent:  59.88% (G:17.95% B:0.77%) 40.12% (G:8.89% B:0.28%)  

5.  3ply  24/18* 13/8  eq: +0.109 (0.020) 
 Player: Opponent:  59.40% (G:19.01% B:0.80%) 40.60% (G:8.57% B:0.27%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
38.56% (G:8.17% B:0.23%) 
38.57% (G:8.16% B:0.23%) 
Opponent Winning Chances: 
61.44% (G:17.46% B:0.70%) 
61.43% (G:17.38% B:0.71%) 
Cubeless Equities 
0.304 
0.354 
Cubeful Equities 
No double:  0.167  
Double/Take:  0.334 (0.166)  
Double/Pass:  +1.000 (+1.167) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.1% 


51: Bar/20 6/5* 


1.  XG Roller+  Bar/20 6/5*  eq: 0.092 
 Player: Opponent:  40.80% (G:8.87% B:0.30%) 59.20% (G:19.25% B:0.78%)  

2.  XG Roller+  Bar/24 23/18  eq: 0.106 (0.014) 
 Player: Opponent:  40.26% (G:8.78% B:0.28%) 59.74% (G:17.39% B:0.70%)  

3.  XG Roller+  Bar/24 20/15  eq: 0.114 (0.021) 
 Player: Opponent:  40.18% (G:8.67% B:0.28%) 59.82% (G:19.20% B:0.94%)  

4.  3ply  Bar/24 13/8  eq: 0.154 (0.062) 
 Player: Opponent:  38.96% (G:8.16% B:0.20%) 61.04% (G:16.67% B:0.59%)  

5.  3ply  Bar/24 8/3  eq: 0.213 (0.121) 
 Player: Opponent:  37.88% (G:7.77% B:0.24%) 62.12% (G:23.72% B:1.16%)  



54: Bar/20* 6/2* 


1.  XG Roller++  Bar/20* 20/16  eq: +0.149 
 Player: Opponent:  60.23% (G:24.10% B:1.02%) 39.77% (G:7.93% B:0.30%)  

2.  XG Roller++  Bar/20* 6/2*  eq: +0.118 (0.032) 
 Player: Opponent:  59.30% (G:22.71% B:0.83%) 40.70% (G:8.40% B:0.29%)  

3.  XG Roller+  Bar/20* 18/14  eq: +0.123 (0.027) 
 Player: Opponent:  59.58% (G:23.55% B:1.14%) 40.42% (G:8.26% B:0.30%)  

4.  3ply  Bar/20* 13/9  eq: +0.164 (+0.014) 
 Player: Opponent:  60.47% (G:24.32% B:1.15%) 39.53% (G:8.05% B:0.26%)  

5.  3ply  Bar/16  eq: +0.125 (0.025) 
 Player: Opponent:  60.63% (G:15.65% B:0.53%) 39.37% (G:8.92% B:0.25%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
38.77% (G:8.31% B:0.22%) 
38.65% (G:8.26% B:0.22%) 
Opponent Winning Chances: 
61.23% (G:22.65% B:0.86%) 
61.35% (G:22.42% B:0.84%) 
Cubeless Equities 
0.342 
0.392 
Cubeful Equities 
No double:  0.182  
Double/Take:  0.341 (0.160)  
Double/Pass:  +1.000 (+1.182) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.6% 


61: Bar/24 


1.  3ply  Bar/24  eq: 0.112 
 Player: Opponent:  41.51% (G:8.03% B:0.25%) 58.49% (G:24.55% B:0.77%)  



21: 20/18 2/1* 


1.  XG Roller++  13/11 2/1*  eq: +0.099 
 Player: Opponent:  58.81% (G:23.31% B:0.75%) 41.19% (G:8.60% B:0.32%)  

2.  XG Roller++  20/18 2/1*  eq: +0.085 (0.014) 
 Player: Opponent:  58.53% (G:22.29% B:0.71%) 41.47% (G:8.83% B:0.32%)  

3.  XG Roller+  18/16 2/1*  eq: +0.093 (0.006) 
 Player: Opponent:  59.04% (G:22.42% B:0.81%) 40.96% (G:9.04% B:0.32%)  

4.  3ply  3/1* 2/1  eq: +0.100 (+0.001) 
 Player: Opponent:  58.76% (G:24.13% B:0.65%) 41.24% (G:9.31% B:0.24%)  

5.  3ply  11/9 2/1*  eq: +0.088 (0.011) 
 Player: Opponent:  58.53% (G:22.46% B:0.81%) 41.47% (G:9.28% B:0.27%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
39.65% (G:8.95% B:0.23%) 
39.57% (G:8.90% B:0.23%) 
Opponent Winning Chances: 
60.35% (G:22.11% B:0.74%) 
60.43% (G:21.76% B:0.74%) 
Cubeless Equities 
0.313 
0.338 
Cubeful Equities 
No double:  0.142  
Double/Take:  0.290 (0.148)  
Double/Pass:  +1.000 (+1.142) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.3% 


43: Bar/21 


1.  3ply  Bar/21  eq: 0.061 
 Player: Opponent:  42.49% (G:8.78% B:0.29%) 57.51% (G:23.47% B:0.56%)  



52: 18/11 


1.  XG Roller+  18/11  eq: +0.058 
 Player: Opponent:  58.01% (G:22.33% B:0.68%) 41.99% (G:9.08% B:0.31%)  

2.  XG Roller+  18/16 13/8  eq: +0.047 (0.011) 
 Player: Opponent:  57.68% (G:23.30% B:0.72%) 42.32% (G:9.40% B:0.35%)  

3.  XG Roller+  18/16 18/13  eq: +0.016 (0.042) 
 Player: Opponent:  57.06% (G:22.11% B:0.68%) 42.94% (G:9.66% B:0.36%)  

4.  3ply  13/6  eq: +0.052 (0.006) 
 Player: Opponent:  57.96% (G:22.79% B:0.70%) 42.04% (G:9.60% B:0.33%)  

5.  3ply  11/4*  eq: +0.045 (0.013) 
 Player: Opponent:  57.62% (G:22.30% B:0.82%) 42.38% (G:10.26% B:0.29%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
40.75% (G:8.87% B:0.30%) 
40.65% (G:8.82% B:0.31%) 
Opponent Winning Chances: 
59.25% (G:22.05% B:0.66%) 
59.35% (G:21.71% B:0.63%) 
Cubeless Equities 
0.290 
0.298 
Cubeful Equities 
No double:  0.099  
Double/Take:  0.246 (0.147)  
Double/Pass:  +1.000 (+1.099) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.5% 


54: Bar/21 20/15 


1.  XG Roller+  Bar/21 20/15  eq: +0.069 
 Player: Opponent:  45.22% (G:9.93% B:0.38%) 54.78% (G:19.67% B:0.44%)  

2.  XG Roller+  Bar/16  eq: 0.122 (0.191) 
 Player: Opponent:  40.50% (G:8.36% B:0.35%) 59.50% (G:21.97% B:0.56%)  

3.  3ply  Bar/21 13/8  eq: +0.017 (0.052) 
 Player: Opponent:  43.36% (G:9.58% B:0.35%) 56.64% (G:18.94% B:0.38%)  

4.  3ply  Bar/21 8/3  eq: 0.043 (0.112) 
 Player: Opponent:  41.80% (G:9.24% B:0.37%) 58.20% (G:22.50% B:0.53%)  

5.  2ply  Bar/21 6/1  eq: 0.159 (0.228) 
 Player: Opponent:  38.40% (G:8.13% B:0.33%) 61.60% (G:22.29% B:0.48%)  



61: 13/6 


1.  XG Roller++  13/6  eq: 0.122 (+0.004) 
 Player: Opponent:  53.48% (G:20.46% B:0.45%) 46.52% (G:10.55% B:0.41%)  

2.  XG Roller++  13/7 11/10*  eq: 0.126 
 Player: Opponent:  53.50% (G:19.49% B:0.52%) 46.50% (G:11.14% B:0.44%)  

3.  XG Roller+  13/7 8/7  eq: 0.129 (0.003) 
 Player: Opponent:  53.65% (G:19.73% B:0.47%) 46.35% (G:10.96% B:0.44%)  

4.  3ply  8/1  eq: 0.148 (0.023) 
 Player: Opponent:  53.23% (G:18.52% B:0.38%) 46.77% (G:10.98% B:0.46%)  

5.  3ply  13/7 3/2  eq: 0.202 (0.077) 
 Player: Opponent:  52.19% (G:17.39% B:0.38%) 47.81% (G:12.01% B:0.55%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
45.59% (G:10.29% B:0.44%) 
45.59% (G:10.23% B:0.43%) 
Opponent Winning Chances: 
54.41% (G:19.04% B:0.39%) 
54.41% (G:19.66% B:0.42%) 
Cubeless Equities 
0.154 
0.066 
Cubeful Equities 
No double:  +0.106  
Double/Take:  0.014 (0.120)  
Double/Pass:  +1.000 (+0.894) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.6% 


21: 15/13 6/5 


1.  XG Roller++  15/13 6/5  eq: +0.146 (+0.004) 
 Player: Opponent:  47.07% (G:10.46% B:0.39%) 52.93% (G:18.27% B:0.34%)  

2.  XG Roller++  6/5 6/4  eq: +0.143 (+0.001) 
 Player: Opponent:  47.20% (G:10.61% B:0.40%) 52.80% (G:22.00% B:0.54%)  

3.  XG Roller++  13/11 6/5  eq: +0.142 
 Player: Opponent:  47.26% (G:10.59% B:0.41%) 52.74% (G:23.33% B:0.54%)  

4.  XG Roller+  20/18 6/5  eq: +0.149 (+0.007) 
 Player: Opponent:  47.38% (G:10.59% B:0.43%) 52.62% (G:23.18% B:0.58%)  

5.  XG Roller+  21/20 6/4  eq: 0.180 (0.322) 
 Player: Opponent:  39.55% (G:8.01% B:0.33%) 60.45% (G:28.84% B:0.68%)  



62: 18/10 


1.  XG Roller++  13/11 13/7  eq: 0.200 
 Player: Opponent:  51.34% (G:19.16% B:0.35%) 48.66% (G:11.16% B:0.41%)  

2.  XG Roller++  18/10  eq: 0.276 (0.077) 
 Player: Opponent:  49.76% (G:18.29% B:0.46%) 50.24% (G:12.52% B:0.50%)  

3.  3ply  11/3  eq: 0.237 (0.037) 
 Player: Opponent:  51.01% (G:18.65% B:0.35%) 48.99% (G:11.79% B:0.50%)  

4.  3ply  13/7 3/1  eq: 0.264 (0.064) 
 Player: Opponent:  50.30% (G:18.16% B:0.35%) 49.70% (G:12.37% B:0.55%)  

5.  3ply  8/2 3/1  eq: 0.328 (0.128) 
 Player: Opponent:  48.77% (G:18.52% B:0.34%) 51.23% (G:13.29% B:0.56%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
50.32% (G:12.65% B:0.50%) 
50.25% (G:12.61% B:0.50%) 
Opponent Winning Chances: 
49.68% (G:17.99% B:0.45%) 
49.75% (G:17.98% B:0.47%) 
Cubeless Equities 
0.031 
+0.172 
Cubeful Equities 
No double:  +0.287  
Double/Take:  +0.221 (0.066)  
Double/Pass:  +1.000 (+0.713) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.8% 


22: 13/7* 7/5 


1.  XG Roller+  13/7* 7/5  eq: +0.352 
 Player: Opponent:  51.92% (G:13.68% B:0.56%) 48.08% (G:16.07% B:0.37%)  

2.  XG Roller+  20/18 20/16 8/6  eq: 0.557 (0.909) 
 Player: Opponent:  30.86% (G:5.81% B:0.29%) 69.14% (G:46.85% B:2.69%)  

3.  2ply  13/11 13/7*  eq: +0.198 (0.153) 
 Player: Opponent:  48.38% (G:11.14% B:0.51%) 51.62% (G:21.87% B:0.52%)  

4.  2ply  20/18 13/7*  eq: +0.184 (0.168) 
 Player: Opponent:  48.06% (G:11.09% B:0.50%) 51.94% (G:22.83% B:0.57%)  

5.  2ply  20/16 13/11(2)  eq: +0.165 (0.186) 
 Player: Opponent:  47.42% (G:10.46% B:0.44%) 52.58% (G:18.45% B:0.36%)  



52: Bar/18 


1.  XG Roller++  Bar/23 6/1  eq: 0.425 
 Player: Opponent:  46.28% (G:16.99% B:0.36%) 53.72% (G:14.35% B:0.57%)  

2.  XG Roller++  Bar/18  eq: 0.443 (0.019) 
 Player: Opponent:  46.53% (G:14.70% B:0.39%) 53.47% (G:15.14% B:0.65%)  

3.  3ply  Bar/23 11/6  eq: 0.529 (0.105) 
 Player: Opponent:  43.84% (G:14.47% B:0.36%) 56.16% (G:15.49% B:0.68%)  

4.  2ply  Bar/23 13/8  eq: 0.765 (0.341) 
 Player: Opponent:  38.45% (G:11.33% B:0.31%) 61.55% (G:17.01% B:0.79%)  

5.  1ply  Bar/23 8/3  eq: 0.856 (0.432) 
 Player: Opponent:  38.34% (G:12.55% B:0.27%) 61.66% (G:20.47% B:1.02%)  



Double/Take 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
53.52% (G:15.33% B:0.66%) 
53.52% (G:15.46% B:0.66%) 
Opponent Winning Chances: 
46.48% (G:14.65% B:0.41%) 
46.48% (G:14.93% B:0.43%) 
Cubeless Equities 
+0.083 
+0.386 
Cubeful Equities 
No double:  +0.449  
Double/Take:  +0.420 (0.029)  
Double/Pass:  +1.000 (+0.551) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.7% 


21: 13/11 8/7* 


1.  XG Roller+  13/11 8/7*  eq: +0.132 
 Player: Opponent:  50.40% (G:13.32% B:0.56%) 49.60% (G:17.96% B:0.54%)  

2.  XG Roller+  8/7* 6/4  eq: +0.125 (0.007) 
 Player: Opponent:  50.44% (G:12.73% B:0.54%) 49.56% (G:20.24% B:0.56%)  

3.  XG Roller+  20/18 8/7*  eq: +0.117 (0.015) 
 Player: Opponent:  49.94% (G:12.96% B:0.55%) 50.06% (G:18.41% B:0.49%)  

4.  XG Roller+  8/7* 7/5  eq: +0.097 (0.035) 
 Player: Opponent:  48.87% (G:13.13% B:0.54%) 51.13% (G:17.47% B:0.41%)  

5.  XG Roller+  21/18  eq: 0.171 (0.303) 
 Player: Opponent:  39.55% (G:8.08% B:0.30%) 60.45% (G:23.40% B:0.41%)  



42: Bar/21 10/8 


1.  3ply  Bar/21 10/8  eq: 0.087 
 Player: Opponent:  50.75% (G:16.83% B:0.38%) 49.25% (G:12.00% B:0.45%)  

2.  3ply  Bar/23 10/6  eq: 0.128 (0.041) 
 Player: Opponent:  48.97% (G:17.34% B:0.35%) 51.03% (G:12.26% B:0.50%)  

3.  2ply  Bar/21 3/1  eq: 0.274 (0.187) 
 Player: Opponent:  44.43% (G:14.84% B:0.40%) 55.57% (G:15.91% B:0.69%)  

4.  2ply  Bar/23 6/2  eq: 0.275 (0.188) 
 Player: Opponent:  44.64% (G:14.38% B:0.38%) 55.36% (G:16.17% B:0.79%)  

5.  2ply  Bar/23 11/7  eq: 0.367 (0.280) 
 Player: Opponent:  41.66% (G:12.95% B:0.48%) 58.34% (G:18.32% B:0.99%)  



43: 8/4* 7/4 


1.  XG Roller+  8/4* 7/4  eq: +0.149 
 Player: Opponent:  51.02% (G:13.68% B:0.50%) 48.98% (G:14.21% B:0.30%)  

2.  XG Roller+  20/16 11/8  eq: +0.038 (0.111) 
 Player: Opponent:  47.41% (G:10.97% B:0.41%) 52.59% (G:16.53% B:0.37%)  

3.  3ply  20/16 7/4*  eq: +0.077 (0.072) 
 Player: Opponent:  48.60% (G:12.12% B:0.47%) 51.40% (G:19.74% B:0.57%)  

4.  3ply  13/10 8/4*  eq: +0.042 (0.107) 
 Player: Opponent:  47.20% (G:11.66% B:0.50%) 52.80% (G:21.95% B:0.72%)  

5.  3ply  11/4*  eq: +0.037 (0.112) 
 Player: Opponent:  47.20% (G:11.27% B:0.43%) 52.80% (G:20.39% B:0.52%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.201 
 Player: Opponent:  47.11% (G:11.87% B:0.28%) 52.89% (G:14.86% B:0.38%)  



63: 11/5 6/3 


1.  XG Roller++  13/10 13/7  eq: +0.161 
 Player: Opponent:  51.08% (G:14.62% B:0.45%) 48.92% (G:12.99% B:0.34%)  

2.  XG Roller++  13/7 11/8  eq: +0.157 (0.004) 
 Player: Opponent:  50.93% (G:14.60% B:0.51%) 49.07% (G:14.55% B:0.39%)  

3.  XG Roller++  11/5 6/3  eq: +0.114 (0.047) 
 Player: Opponent:  49.40% (G:13.82% B:0.41%) 50.60% (G:14.24% B:0.35%)  

4.  XG Roller+  13/7 6/3  eq: +0.159 (0.002) 
 Player: Opponent:  51.30% (G:14.03% B:0.53%) 48.70% (G:18.01% B:0.53%)  

5.  XG Roller+  21/15 13/10  eq: +0.155 (0.006) 
 Player: Opponent:  50.81% (G:14.69% B:0.53%) 49.19% (G:15.64% B:0.54%)  



41: Bar/24 6/2 


1.  3ply  Bar/24 6/2  eq: 0.216 
 Player: Opponent:  46.96% (G:12.92% B:0.29%) 53.04% (G:15.67% B:0.50%)  

2.  3ply  Bar/24 11/7  eq: 0.298 (0.082) 
 Player: Opponent:  44.68% (G:13.45% B:0.41%) 55.32% (G:18.20% B:0.71%)  

3.  1ply  Bar/24 13/9  eq: 0.551 (0.335) 
 Player: Opponent:  37.10% (G:10.21% B:0.32%) 62.90% (G:24.42% B:1.44%)  



52: 20/15 5/3 


1.  3ply  20/15 5/3  eq: +0.345 
 Player: Opponent:  58.08% (G:17.40% B:0.60%) 41.92% (G:10.21% B:0.18%)  

2.  3ply  21/16 5/3  eq: +0.268 (0.078) 
 Player: Opponent:  55.47% (G:15.58% B:0.64%) 44.53% (G:12.08% B:0.25%)  

3.  3ply  13/8 5/3  eq: +0.257 (0.089) 
 Player: Opponent:  54.66% (G:16.12% B:0.59%) 45.34% (G:11.72% B:0.23%)  

4.  3ply  20/15 13/11  eq: +0.189 (0.156) 
 Player: Opponent:  52.14% (G:14.97% B:0.64%) 47.86% (G:15.69% B:0.39%)  

5.  2ply  20/13  eq: +0.177 (0.168) 
 Player: Opponent:  51.50% (G:15.17% B:0.49%) 48.50% (G:12.87% B:0.26%)  



62: 24/18 8/6 


1.  3ply  24/18 8/6  eq: 0.295 
 Player: Opponent:  44.51% (G:9.55% B:0.21%) 55.49% (G:17.73% B:0.42%)  

2.  3ply  24/18 3/1  eq: 0.353 (0.058) 
 Player: Opponent:  42.81% (G:9.36% B:0.18%) 57.19% (G:19.38% B:0.54%)  

3.  3ply  24/16  eq: 0.381 (0.086) 
 Player: Opponent:  42.18% (G:8.90% B:0.20%) 57.82% (G:20.54% B:0.49%)  

4.  3ply  8/2 3/1  eq: 0.390 (0.095) 
 Player: Opponent:  40.22% (G:11.41% B:0.19%) 59.78% (G:18.07% B:0.60%)  

5.  2ply  11/3  eq: 0.502 (0.207) 
 Player: Opponent:  36.53% (G:9.74% B:0.18%) 63.47% (G:20.64% B:0.78%)  



33: 13/7*(2) 


1.  3ply  13/7*(2)  eq: +0.626 
 Player: Opponent:  67.40% (G:24.08% B:0.65%) 32.60% (G:7.24% B:0.16%)  

2.  3ply  21/15 13/7*  eq: +0.559 (0.067) 
 Player: Opponent:  64.99% (G:22.88% B:0.60%) 35.01% (G:8.20% B:0.23%)  

3.  3ply  21/18(2) 13/7*  eq: +0.539 (0.087) 
 Player: Opponent:  64.33% (G:22.41% B:0.59%) 35.67% (G:8.89% B:0.22%)  

4.  3ply  21/18 13/10 13/7*  eq: +0.527 (0.100) 
 Player: Opponent:  63.48% (G:22.92% B:0.62%) 36.52% (G:10.66% B:0.39%)  

5.  2ply  13/10 13/7* 7/4  eq: +0.447 (0.179) 
 Player: Opponent:  59.58% (G:22.87% B:0.44%) 40.42% (G:8.69% B:0.19%)  



62: Bar/17 


1.  3ply  Bar/17  eq: +0.007 
 Player: Opponent:  54.91% (G:8.35% B:0.15%) 45.09% (G:11.09% B:0.29%)  

2.  1ply  Bar/23 8/2  eq: 0.866 (0.873) 
 Player: Opponent:  27.86% (G:6.97% B:0.17%) 72.14% (G:33.90% B:1.41%)  

3.  1ply  Bar/23 13/7  eq: 1.080 (1.087) 
 Player: Opponent:  22.95% (G:5.17% B:0.14%) 77.05% (G:40.47% B:2.98%)  



41: 7/2 


1.  XG Roller++  21/16  eq: 0.171 
 Player: Opponent:  39.27% (G:8.04% B:0.20%) 60.73% (G:10.14% B:0.18%)  

2.  XG Roller++  7/2  eq: 0.194 (0.023) 
 Player: Opponent:  38.42% (G:7.67% B:0.12%) 61.58% (G:9.54% B:0.15%)  

3.  XG Roller+  15/11 7/6  eq: 0.177 (0.006) 
 Player: Opponent:  38.96% (G:8.07% B:0.20%) 61.04% (G:10.79% B:0.21%)  

4.  XG Roller+  21/20 15/11  eq: 0.179 (0.008) 
 Player: Opponent:  39.04% (G:7.74% B:0.21%) 60.96% (G:9.95% B:0.14%)  

5.  XG Roller+  15/10  eq: 0.195 (0.024) 
 Player: Opponent:  38.52% (G:7.42% B:0.18%) 61.48% (G:10.74% B:0.19%)  



41: 17/13 2/1 


1.  3ply  17/13 2/1  eq: +0.292 
 Player: Opponent:  65.08% (G:7.64% B:0.08%) 34.92% (G:5.55% B:0.05%)  

2.  3ply  17/13 3/2  eq: +0.244 (0.048) 
 Player: Opponent:  63.21% (G:6.97% B:0.10%) 36.79% (G:6.13% B:0.07%)  

3.  2ply  6/1  eq: 0.023 (0.314) 
 Player: Opponent:  54.34% (G:10.09% B:0.17%) 45.66% (G:12.61% B:0.45%)  

4.  2ply  11/6  eq: 0.063 (0.355) 
 Player: Opponent:  52.97% (G:9.73% B:0.18%) 47.03% (G:13.48% B:0.50%)  

5.  1ply  17/12  eq: 0.132 (0.424) 
 Player: Opponent:  51.26% (G:8.53% B:0.19%) 48.74% (G:15.87% B:0.34%)  



32: 7/2 


1.  XG Roller+  15/10  eq: 0.279 (+0.011) 
 Player: Opponent:  35.48% (G:5.74% B:0.13%) 64.52% (G:9.35% B:0.12%)  

2.  XG Roller+  7/2  eq: 0.290 
 Player: Opponent:  34.97% (G:5.80% B:0.13%) 65.03% (G:10.76% B:0.15%)  

3.  XG Roller+  15/13 7/4  eq: 0.299 (0.009) 
 Player: Opponent:  34.57% (G:5.76% B:0.14%) 65.43% (G:11.71% B:0.16%)  

4.  3ply  15/13 5/2  eq: 0.324 (0.034) 
 Player: Opponent:  33.72% (G:5.06% B:0.18%) 66.28% (G:10.23% B:0.14%)  

5.  3ply  21/18 20/18  eq: 0.325 (0.035) 
 Player: Opponent:  33.28% (G:6.84% B:0.25%) 66.72% (G:27.84% B:1.15%)  



41: 13/8 


1.  3ply  13/8  eq: +0.327 
 Player: Opponent:  66.49% (G:7.38% B:0.07%) 33.51% (G:5.03% B:0.04%)  

2.  3ply  11/6  eq: +0.263 (0.064) 
 Player: Opponent:  64.16% (G:7.59% B:0.07%) 35.84% (G:6.27% B:0.05%)  

3.  3ply  11/10* 10/6  eq: +0.238 (0.089) 
 Player: Opponent:  63.25% (G:13.43% B:0.19%) 36.75% (G:7.23% B:0.14%)  

4.  3ply  6/2 3/2  eq: +0.213 (0.115) 
 Player: Opponent:  62.14% (G:7.23% B:0.07%) 37.86% (G:6.86% B:0.05%)  

5.  2ply  6/1  eq: +0.117 (0.210) 
 Player: Opponent:  58.61% (G:8.43% B:0.13%) 41.39% (G:8.62% B:0.30%)  



54: 20/16 20/15 


1.  XG Roller++  15/6  eq: 0.302 
 Player: Opponent:  34.60% (G:5.39% B:0.08%) 65.40% (G:8.18% B:0.09%)  

2.  XG Roller++  20/16 20/15  eq: 0.337 (0.034) 
 Player: Opponent:  33.32% (G:4.82% B:0.08%) 66.68% (G:8.35% B:0.11%)  

3.  XG Roller+  21/16 15/11  eq: 0.303 (0.001) 
 Player: Opponent:  34.49% (G:5.53% B:0.13%) 65.51% (G:11.15% B:0.16%)  

4.  3ply  21/16 20/16  eq: 0.354 (0.051) 
 Player: Opponent:  32.31% (G:5.63% B:0.23%) 67.69% (G:20.44% B:0.53%)  

5.  3ply  20/11  eq: 0.371 (0.068) 
 Player: Opponent:  31.67% (G:4.95% B:0.18%) 68.33% (G:13.78% B:0.25%)  



32: 11/9* 9/6 


1.  XG Roller+  11/9* 9/6  eq: +0.324 
 Player: Opponent:  66.43% (G:15.47% B:0.28%) 33.57% (G:6.16% B:0.10%)  

2.  XG Roller+  11/6  eq: +0.297 (0.027) 
 Player: Opponent:  65.00% (G:7.31% B:0.10%) 35.00% (G:5.06% B:0.10%)  

3.  3ply  8/3  eq: +0.248 (0.076) 
 Player: Opponent:  62.87% (G:4.76% B:0.05%) 37.13% (G:5.11% B:0.07%)  

4.  3ply  6/1  eq: +0.179 (0.145) 
 Player: Opponent:  60.23% (G:4.00% B:0.04%) 39.77% (G:6.06% B:0.09%)  

5.  2ply  11/8 3/1  eq: +0.096 (0.228) 
 Player: Opponent:  57.03% (G:6.34% B:0.08%) 42.97% (G:7.61% B:0.28%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.336 
 Player: Opponent:  32.95% (G:5.48% B:0.25%) 67.05% (G:13.97% B:0.19%)  



11: 13/12(2) 6/5(2) 


1.  3ply  13/12(2) 6/5(2)  eq: +0.573 
 Player: Opponent:  76.42% (G:14.62% B:0.16%) 23.58% (G:2.79% B:0.07%)  

2.  3ply  8/5 6/5  eq: +0.515 (0.058) 
 Player: Opponent:  74.11% (G:16.31% B:0.19%) 25.89% (G:3.64% B:0.10%)  

3.  3ply  13/11(2)  eq: +0.480 (0.093) 
 Player: Opponent:  72.50% (G:10.22% B:0.11%) 27.50% (G:3.26% B:0.06%)  

4.  3ply  6/5(2) 3/2(2)  eq: +0.479 (0.094) 
 Player: Opponent:  72.76% (G:14.50% B:0.13%) 27.24% (G:4.07% B:0.11%)  

5.  3ply  13/11 6/5(2)  eq: +0.464 (0.108) 
 Player: Opponent:  72.17% (G:13.93% B:0.17%) 27.83% (G:4.28% B:0.09%)  



21: Bar/23 2/1 


1.  XG Roller+  Bar/23 2/1  eq: 0.571 
 Player: Opponent:  23.58% (G:3.35% B:0.09%) 76.42% (G:24.75% B:0.59%)  

2.  XG Roller+  Bar/23 3/2  eq: 0.584 (0.013) 
 Player: Opponent:  23.12% (G:3.19% B:0.08%) 76.88% (G:26.32% B:0.78%)  

3.  XG Roller+  Bar/23 6/5  eq: 0.594 (0.023) 
 Player: Opponent:  22.76% (G:2.87% B:0.07%) 77.24% (G:24.03% B:0.73%)  

4.  XG Roller+  Bar/23 5/4  eq: 0.598 (0.027) 
 Player: Opponent:  22.59% (G:2.93% B:0.08%) 77.41% (G:25.00% B:0.65%)  

5.  XG Roller+  Bar/23 4/3  eq: 0.607 (0.036) 
 Player: Opponent:  22.17% (G:2.91% B:0.08%) 77.83% (G:26.96% B:0.64%)  



54: 11/2* 


1.  XG Roller+  12/3  eq: +0.420 (+0.015) 
 Player: Opponent:  69.83% (G:26.81% B:1.01%) 30.17% (G:5.58% B:0.13%)  

2.  XG Roller+  11/2*  eq: +0.405 
 Player: Opponent:  70.69% (G:26.87% B:0.80%) 29.31% (G:7.91% B:0.17%)  

3.  XG Roller+  11/7 11/6  eq: +0.360 (0.045) 
 Player: Opponent:  67.50% (G:28.05% B:0.85%) 32.50% (G:6.42% B:0.09%)  

4.  3ply  12/8 12/7  eq: +0.350 (0.054) 
 Player: Opponent:  67.82% (G:20.35% B:0.92%) 32.18% (G:6.78% B:0.09%)  

5.  3ply  12/7 11/7  eq: +0.322 (0.082) 
 Player: Opponent:  67.69% (G:25.91% B:1.93%) 32.31% (G:9.15% B:0.22%)  



54: Bar/16 


1.  XG Roller+  Bar/16  eq: 0.614 
 Player: Opponent:  22.12% (G:2.12% B:0.06%) 77.88% (G:16.35% B:0.30%)  

2.  XG Roller+  Bar/21 15/10  eq: 0.633 (0.019) 
 Player: Opponent:  21.15% (G:2.14% B:0.06%) 78.85% (G:16.00% B:0.21%)  

3.  3ply  Bar/21 6/1  eq: 0.658 (0.044) 
 Player: Opponent:  19.86% (G:1.53% B:0.04%) 80.14% (G:10.69% B:0.14%)  



62: 11/9* 8/2 


1.  3ply  11/9* 8/2  eq: +0.742 
 Player: Opponent:  82.65% (G:33.46% B:0.21%) 17.35% (G:1.79% B:0.04%)  

2.  3ply  11/5 8/6  eq: +0.624 (0.118) 
 Player: Opponent:  78.52% (G:7.30% B:0.04%) 21.48% (G:1.56% B:0.04%)  

3.  2ply  11/3  eq: +0.536 (0.206) 
 Player: Opponent:  74.75% (G:6.47% B:0.07%) 25.25% (G:2.18% B:0.06%)  

4.  2ply  11/5 3/1  eq: +0.535 (0.207) 
 Player: Opponent:  74.88% (G:8.05% B:0.06%) 25.12% (G:2.47% B:0.09%)  

5.  2ply  11/9* 9/3  eq: +0.448 (0.294) 
 Player: Opponent:  71.67% (G:27.40% B:0.55%) 28.33% (G:5.14% B:0.19%)  



32: Cannot Move 


1.  3ply  Cannot Move  eq: 0.788 
 Player: Opponent:  14.82% (G:1.37% B:0.08%) 85.18% (G:40.67% B:0.38%)  



42: 9/5 8/6 


1.  XG Roller+  9/5 8/6  eq: +0.827 
 Player: Opponent:  85.04% (G:41.87% B:0.37%) 14.96% (G:1.01% B:0.01%)  

2.  XG Roller+  12/6  eq: +0.800 (0.027) 
 Player: Opponent:  84.33% (G:40.28% B:0.37%) 15.67% (G:1.65% B:0.03%)  

3.  XG Roller+  12/8 9/7  eq: +0.779 (0.048) 
 Player: Opponent:  83.75% (G:38.33% B:0.31%) 16.25% (G:2.01% B:0.03%)  

4.  3ply  9/3  eq: +0.758 (0.069) 
 Player: Opponent:  82.90% (G:36.28% B:0.17%) 17.10% (G:1.34% B:0.03%)  

5.  3ply  8/2  eq: +0.681 (0.145) 
 Player: Opponent:  79.96% (G:38.81% B:0.23%) 20.04% (G:2.71% B:0.07%)  



41: Bar/21 2/1 


1.  3ply  Bar/21 2/1  eq: 0.545 
 Player: Opponent:  25.16% (G:2.17% B:0.06%) 74.84% (G:18.62% B:0.10%)  

2.  3ply  Bar/21 3/2  eq: 0.625 (0.081) 
 Player: Opponent:  21.76% (G:1.64% B:0.04%) 78.24% (G:22.14% B:0.28%)  

3.  3ply  Bar/21 6/5  eq: 0.720 (0.175) 
 Player: Opponent:  17.53% (G:1.18% B:0.03%) 82.47% (G:22.95% B:0.34%)  

4.  3ply  Bar/21 5/4  eq: 0.729 (0.184) 
 Player: Opponent:  17.12% (G:1.10% B:0.03%) 82.88% (G:22.81% B:0.35%)  

5.  3ply  Bar/21 4/3  eq: 0.739 (0.194) 
 Player: Opponent:  16.67% (G:1.11% B:0.03%) 83.33% (G:23.00% B:0.42%)  



31: 8/5 6/5 


1.  3ply  8/5 6/5  eq: +0.574 
 Player: Opponent:  75.68% (G:17.97% B:0.09%) 24.32% (G:2.00% B:0.04%)  

2.  3ply  8/5 3/2  eq: +0.523 (0.051) 
 Player: Opponent:  73.72% (G:15.62% B:0.08%) 26.28% (G:2.47% B:0.05%)  

3.  3ply  8/5 2/1  eq: +0.517 (0.057) 
 Player: Opponent:  73.53% (G:15.85% B:0.09%) 26.47% (G:2.64% B:0.06%)  

4.  2ply  12/8  eq: +0.366 (0.208) 
 Player: Opponent:  66.43% (G:11.91% B:0.10%) 33.57% (G:1.99% B:0.05%)  

5.  2ply  8/7 6/3  eq: +0.251 (0.323) 
 Player: Opponent:  62.41% (G:13.44% B:0.13%) 37.59% (G:4.56% B:0.10%)  



64: 21/11 


1.  3ply  21/11  eq: 0.478 
 Player: Opponent:  28.41% (G:1.90% B:0.04%) 71.59% (G:10.18% B:0.06%)  

2.  3ply  15/5  eq: 0.639 (0.161) 
 Player: Opponent:  21.34% (G:1.63% B:0.04%) 78.66% (G:23.84% B:0.16%)  

3.  3ply  15/11 15/9  eq: 0.667 (0.188) 
 Player: Opponent:  19.65% (G:1.28% B:0.03%) 80.35% (G:11.80% B:0.06%)  

4.  2ply  21/15 6/2  eq: 0.707 (0.229) 
 Player: Opponent:  18.32% (G:1.40% B:0.04%) 81.68% (G:18.17% B:0.08%)  

5.  2ply  21/17 21/15  eq: 0.708 (0.230) 
 Player: Opponent:  19.38% (G:2.57% B:0.10%) 80.62% (G:44.30% B:0.16%)  



64: 12/8 12/6 


1.  3ply  12/8 12/6  eq: +0.515 
 Player: Opponent:  72.23% (G:9.42% B:0.09%) 27.77% (G:0.81% B:0.01%)  

2.  2ply  12/6 5/1  eq: +0.335 (0.180) 
 Player: Opponent:  64.66% (G:8.98% B:0.06%) 35.34% (G:1.33% B:0.04%)  

3.  2ply  12/2  eq: +0.322 (0.193) 
 Player: Opponent:  64.20% (G:8.69% B:0.06%) 35.80% (G:1.65% B:0.04%)  



52: 15/13 11/6 


1.  XG Roller++  15/13 11/6  eq: 1.000 
 Player: Opponent:  4.99% (G:0.05% B:0.00%) 95.01% (G:11.64% B:0.05%)  

2.  XG Roller++  15/8  eq: 1.000 
 Player: Opponent:  5.09% (G:0.05% B:0.00%) 94.91% (G:12.09% B:0.05%)  

3.  XG Roller++  15/10 11/9  eq: 1.000 
 Player: Opponent:  5.08% (G:0.06% B:0.00%) 94.92% (G:12.09% B:0.05%)  

4.  XG Roller+  15/13 15/10  eq: 0.989 (+0.011) 
 Player: Opponent:  5.14% (G:0.06% B:0.00%) 94.86% (G:12.65% B:0.09%)  

5.  XG Roller+  15/10 6/4  eq: 1.000 
 Player: Opponent:  4.94% (G:0.03% B:0.00%) 95.06% (G:14.49% B:0.13%)  



Double/Pass 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.93% (G:11.68% B:0.04%) 
94.33% (G:18.55% B:0.04%) 
Opponent Winning Chances: 
5.07% (G:0.02% B:0.00%) 
5.67% (G:0.03% B:0.00%) 
Cubeless Equities 
+0.953 
+1.254 
Cubeful Equities 
No redouble:  +0.989 (0.011)  
Redouble/Take:  +1.000  
Redouble/Pass:  +1.000 (+0.000) 

Best Cube action: Redouble / Take 


Wins 2pts. 



