63: 24/18 13/10 

XGID=bECeEceB:0:0:1:63:2:3:0:11:3 
Pip=167167 



1.  Book^{1}  24/18 13/10  eq: +0.010 
 Player: Opponent:  50.37% (G:12.70% B:0.56%) 49.63% (G:13.13% B:0.56%)  

2.  Book^{1}  24/15  eq: 0.007 (0.017) 
 Player: Opponent:  50.32% (G:11.56% B:0.48%) 49.68% (G:12.89% B:0.46%)  

3.  Book^{1}  13/4  eq: 0.057 (0.067) 
 Player: Opponent:  48.43% (G:13.73% B:0.65%) 51.57% (G:14.26% B:0.76%)  

4.  Book^{1}  24/21 13/7  eq: 0.058 (0.068) 
 Player: Opponent:  48.46% (G:13.09% B:0.57%) 51.54% (G:13.73% B:0.59%)  

5.  Book^{1}  13/10 13/7  eq: 0.084 (0.095) 
 Player: Opponent:  47.76% (G:13.72% B:0.62%) 52.24% (G:14.73% B:0.87%)  


^{1} Generated by GameSite 2000, Ltd on 5/21/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



52: 24/22 13/8 

XGID=bECAeDcAeA:0:0:1:52:2:3:0:11:3 
Pip=158167 



1.  4ply  24/22 13/8  eq: 0.204 (+0.001) 
 Player: Opponent:  44.58% (G:10.24% B:0.30%) 55.42% (G:13.33% B:0.49%)  

2.  4ply  24/22 6/1*  eq: 0.205 
 Player: Opponent:  44.32% (G:11.30% B:0.35%) 55.68% (G:13.53% B:0.62%)  

3.  4ply  13/8 6/4  eq: 0.251 (0.046) 
 Player: Opponent:  43.60% (G:10.48% B:0.36%) 56.40% (G:14.56% B:0.79%)  

4.  4ply  13/11 6/1*  eq: 0.299 (0.093) 
 Player: Opponent:  42.68% (G:11.41% B:0.40%) 57.32% (G:16.30% B:1.15%)  

5.  4ply  13/11 13/8  eq: 0.304 (0.099) 
 Player: Opponent:  42.44% (G:10.57% B:0.36%) 57.56% (G:15.73% B:0.88%)  



43: 18/14 13/10 

XGID=aaECAdDdAeA:0:0:1:43:2:3:0:11:3 
Pip=158160 



1.  4ply  18/14 13/10  eq: +0.090 
 Player: Opponent:  52.70% (G:12.50% B:0.49%) 47.30% (G:12.03% B:0.41%)  

2.  4ply  24/20 13/10  eq: +0.012 (0.078) 
 Player: Opponent:  51.35% (G:10.63% B:0.42%) 48.65% (G:12.82% B:0.42%)  

3.  4ply  18/11  eq: +0.007 (0.083) 
 Player: Opponent:  50.49% (G:11.92% B:0.44%) 49.51% (G:12.63% B:0.48%)  

4.  4ply  13/10 6/2  eq: 0.037 (0.127) 
 Player: Opponent:  49.98% (G:11.74% B:0.44%) 50.02% (G:14.61% B:0.61%)  

5.  3ply  18/14 6/3*  eq: 0.028 (0.118) 
 Player: Opponent:  49.98% (G:12.71% B:0.59%) 50.02% (G:14.77% B:0.81%)  



11: 8/7(2) 6/5(2) 

XGID=aaECBdCAdeA:0:0:1:11:2:3:0:11:3 
Pip=151160 



1.  3ply  8/7(2) 6/5(2)  eq: +0.210 
 Player: Opponent:  55.14% (G:15.12% B:0.49%) 44.86% (G:10.68% B:0.37%)  

2.  3ply  24/22 6/5(2)  eq: +0.012 (0.198) 
 Player: Opponent:  48.96% (G:11.97% B:0.35%) 51.04% (G:8.74% B:0.25%)  

3.  2ply  8/5 6/5  eq: 0.060 (0.270) 
 Player: Opponent:  47.78% (G:12.82% B:0.36%) 52.22% (G:12.15% B:0.42%)  

4.  2ply  24/23 6/5(3)  eq: 0.090 (0.300) 
 Player: Opponent:  47.23% (G:11.77% B:0.32%) 52.77% (G:12.19% B:0.41%)  

5.  2ply  22/20 6/5(2)  eq: 0.097 (0.307) 
 Player: Opponent:  47.21% (G:11.53% B:0.31%) 52.79% (G:12.46% B:0.47%)  



41: 24/23 14/10 

XGID=aaECBdCAbbcbA:0:0:1:41:2:3:0:11:3 
Pip=151156 



1.  3ply  24/23 14/10  eq: 0.293 
 Player: Opponent:  43.07% (G:9.16% B:0.33%) 56.93% (G:15.58% B:0.36%)  

2.  3ply  14/10 6/5  eq: 0.460 (0.166) 
 Player: Opponent:  39.64% (G:8.61% B:0.37%) 60.36% (G:18.24% B:0.73%)  

3.  3ply  14/13 6/2  eq: 0.468 (0.175) 
 Player: Opponent:  39.31% (G:8.47% B:0.33%) 60.69% (G:18.92% B:0.61%)  

4.  3ply  14/9  eq: 0.516 (0.223) 
 Player: Opponent:  38.07% (G:8.35% B:0.34%) 61.93% (G:18.28% B:0.72%)  

5.  3ply  13/8  eq: 0.529 (0.236) 
 Player: Opponent:  37.75% (G:8.64% B:0.34%) 62.25% (G:19.24% B:0.74%)  



No double 

XGID=aaECCdCbbcbA:0:0:1:00:2:3:0:11:3 
Pip=146156 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.32% (G:15.87% B:0.42%) 
57.32% (G:15.86% B:0.42%) 
Opponent Winning Chances: 
42.68% (G:8.90% B:0.30%) 
42.68% (G:8.88% B:0.30%) 
Cubeless Equities 
+0.231 
+0.494 
Cubeful Equities 
No double:  +0.313  
Double/Take:  +0.122 (0.191)  
Double/Pass:  +1.000 (+0.687) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.9% 


61: 22/21 13/7 

XGID=aaECCdCbbcbA:0:0:1:61:2:3:0:11:3 
Pip=146156 



1.  XG Roller+  13/7 6/5  eq: +0.206 
 Player: Opponent:  54.36% (G:15.35% B:0.47%) 45.64% (G:10.55% B:0.38%)  

2.  XG Roller+  22/21 13/7  eq: +0.132 (0.075) 
 Player: Opponent:  52.77% (G:14.36% B:0.48%) 47.23% (G:11.60% B:0.45%)  

3.  4ply  13/6  eq: +0.166 (0.041) 
 Player: Opponent:  53.46% (G:14.93% B:0.39%) 46.54% (G:10.60% B:0.39%)  

4.  4ply  24/23 13/7  eq: +0.154 (0.053) 
 Player: Opponent:  53.36% (G:14.48% B:0.44%) 46.64% (G:10.97% B:0.39%)  

5.  4ply  22/16 6/5  eq: +0.140 (0.067) 
 Player: Opponent:  53.92% (G:12.97% B:0.38%) 46.08% (G:11.79% B:0.44%)  



65: 10/4* 6/1* 

XGID=aaECCcCbccbA:0:0:1:65:2:3:0:11:3 
Pip=146149 



1.  4ply  10/4* 6/1*  eq: 0.461 
 Player: Opponent:  39.05% (G:10.78% B:0.27%) 60.95% (G:18.70% B:0.85%)  

2.  4ply  13/8 10/4*  eq: 0.492 (0.031) 
 Player: Opponent:  38.41% (G:10.06% B:0.37%) 61.59% (G:18.93% B:0.76%)  

3.  3ply  13/2  eq: 0.585 (0.124) 
 Player: Opponent:  36.76% (G:8.33% B:0.31%) 63.24% (G:20.86% B:0.67%)  

4.  3ply  13/7 6/1*  eq: 0.594 (0.133) 
 Player: Opponent:  36.05% (G:8.30% B:0.26%) 63.95% (G:19.72% B:0.88%)  

5.  3ply  8/2 6/1*  eq: 0.650 (0.189) 
 Player: Opponent:  35.34% (G:7.91% B:0.25%) 64.66% (G:21.08% B:0.94%)  



No double 

XGID=bAADCBcCbccbA:0:0:1:00:2:3:0:11:3 
Pip=135154 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
60.95% (G:18.70% B:0.85%) 
60.95% (G:18.71% B:0.85%) 
Opponent Winning Chances: 
39.05% (G:10.78% B:0.27%) 
39.05% (G:10.78% B:0.27%) 
Cubeless Equities 
+0.321 
+0.672 
Cubeful Equities 
No double:  +0.461  
Double/Take:  +0.326 (0.135)  
Double/Pass:  +1.000 (+0.539) 

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


61: Bar/24* 

XGID=bAADCBcCbccbA:0:0:1:61:2:3:0:11:3 
Pip=135154 



1.  3ply  Bar/24*  eq: +0.422 
 Player: Opponent:  59.82% (G:18.65% B:0.93%) 40.18% (G:10.68% B:0.40%)  



43: Bar/22 8/4 

XGID=aaADCBcCbccbAA:0:0:1:43:2:3:0:11:3 
Pip=159153 



1.  3ply  Bar/22 8/4  eq: 0.232 
 Player: Opponent:  44.07% (G:12.37% B:0.55%) 55.93% (G:16.54% B:0.67%)  

2.  2ply  Bar/21 4/1*  eq: 0.471 (0.238) 
 Player: Opponent:  38.49% (G:9.57% B:0.25%) 61.51% (G:19.11% B:0.96%)  

3.  2ply  Bar/21 13/10  eq: 0.540 (0.308) 
 Player: Opponent:  37.38% (G:8.77% B:0.35%) 62.62% (G:21.64% B:1.16%)  

4.  2ply  Bar/22 13/9  eq: 0.688 (0.456) 
 Player: Opponent:  35.75% (G:8.56% B:0.35%) 64.25% (G:25.44% B:1.86%)  

5.  2ply  Bar/21 6/3  eq: 0.727 (0.495) 
 Player: Opponent:  35.82% (G:8.04% B:0.27%) 64.18% (G:26.80% B:1.97%)  



53: Bar/20 6/3* 

XGID=aaBDBBcCbccbAA:0:0:1:53:2:3:0:11:3 
Pip=152153 



1.  XG Roller+  Bar/22 13/8  eq: +0.276 
 Player: Opponent:  56.60% (G:17.91% B:0.82%) 43.40% (G:12.31% B:0.51%)  

2.  XG Roller+  Bar/20 6/3*  eq: +0.176 (0.099) 
 Player: Opponent:  54.68% (G:16.54% B:0.84%) 45.32% (G:13.72% B:0.76%)  

3.  3ply  Bar/20 13/10  eq: +0.136 (0.140) 
 Player: Opponent:  53.97% (G:17.04% B:0.96%) 46.03% (G:15.35% B:0.73%)  

4.  3ply  Bar/22 7/2*  eq: +0.123 (0.153) 
 Player: Opponent:  52.68% (G:17.00% B:0.62%) 47.32% (G:13.09% B:0.67%)  

5.  2ply  Bar/22 6/1  eq: 0.040 (0.316) 
 Player: Opponent:  49.12% (G:14.40% B:0.50%) 50.88% (G:15.01% B:0.75%)  



42: Bar/21 23/21 

XGID=aBaDBBcCbcbbaAA:0:0:1:42:2:3:0:11:3 
Pip=155145 



1.  3ply  Bar/21 23/21  eq: 0.052 
 Player: Opponent:  47.78% (G:10.13% B:0.34%) 52.22% (G:8.56% B:0.28%)  

2.  2ply  Bar/21 6/4  eq: 0.366 (0.314) 
 Player: Opponent:  41.38% (G:10.61% B:0.54%) 58.62% (G:19.57% B:0.79%)  

3.  2ply  Bar/21 13/11  eq: 0.455 (0.403) 
 Player: Opponent:  39.59% (G:10.67% B:0.58%) 60.41% (G:22.22% B:1.32%)  

4.  2ply  Bar/21 10/8  eq: 0.520 (0.469) 
 Player: Opponent:  37.52% (G:9.30% B:0.47%) 62.48% (G:21.21% B:1.21%)  

5.  1ply  Bar/23 13/9  eq: 0.564 (0.513) 
 Player: Opponent:  34.95% (G:9.07% B:0.44%) 65.05% (G:17.67% B:0.74%)  



21: 24/22 7/6 

XGID=aBaDBBcCbcbbBa:0:0:1:21:2:3:0:11:3 
Pip=149145 



1.  4ply  24/22 7/6  eq: 0.193 (+0.007) 
 Player: Opponent:  46.85% (G:9.91% B:0.39%) 53.15% (G:17.24% B:0.64%)  

2.  4ply  20/18 7/6  eq: 0.200 
 Player: Opponent:  46.83% (G:10.01% B:0.42%) 53.17% (G:17.89% B:0.66%)  

3.  4ply  24/23 20/18  eq: 0.254 (0.054) 
 Player: Opponent:  45.74% (G:9.39% B:0.37%) 54.26% (G:18.57% B:0.64%)  

4.  4ply  13/11 7/6  eq: 0.254 (0.055) 
 Player: Opponent:  45.22% (G:9.98% B:0.38%) 54.78% (G:17.60% B:0.90%)  

5.  4ply  24/23 7/5  eq: 0.256 (0.056) 
 Player: Opponent:  45.22% (G:10.25% B:0.41%) 54.78% (G:17.61% B:0.68%)  



52: 10/5* 5/3* 

XGID=aBaDBBcCbbcbBa:0:0:1:52:2:3:0:11:3 
Pip=149142 



1.  3ply  10/5* 5/3*  eq: +0.229 
 Player: Opponent:  53.17% (G:19.92% B:0.76%) 46.83% (G:10.54% B:0.46%)  

2.  2ply  13/11 10/5*  eq: 0.006 (0.234) 
 Player: Opponent:  49.19% (G:14.45% B:0.57%) 50.81% (G:14.22% B:0.69%)  

3.  2ply  10/8 10/5*  eq: 0.015 (0.244) 
 Player: Opponent:  48.44% (G:13.11% B:0.47%) 51.56% (G:10.67% B:0.36%)  

4.  2ply  13/8 6/4  eq: 0.050 (0.279) 
 Player: Opponent:  47.59% (G:10.56% B:0.32%) 52.41% (G:8.51% B:0.25%)  

5.  2ply  10/5* 6/4  eq: 0.051 (0.280) 
 Player: Opponent:  47.82% (G:13.55% B:0.51%) 52.18% (G:12.87% B:0.51%)  



21: Bar/24 Bar/23 

XGID=bABDBAcCbbcbBa:0:0:1:21:2:3:0:11:3 
Pip=142150 



1.  3ply  Bar/24 Bar/23  eq: 0.252 
 Player: Opponent:  45.59% (G:9.85% B:0.38%) 54.41% (G:18.37% B:0.69%)  



65: 8/3 8/2* 

XGID=aaABDBAcCbbcbBa:0:0:1:65:2:3:0:11:3 
Pip=142147 



1.  3ply  8/3 8/2*  eq: +0.183 
 Player: Opponent:  51.72% (G:19.94% B:0.74%) 48.28% (G:11.35% B:0.50%)  

2.  3ply  10/4 8/3  eq: +0.015 (0.168) 
 Player: Opponent:  48.28% (G:16.17% B:0.57%) 51.72% (G:10.61% B:0.43%)  

3.  2ply  13/8 10/4  eq: 0.164 (0.346) 
 Player: Opponent:  44.34% (G:12.05% B:0.41%) 55.66% (G:11.35% B:0.37%)  

4.  2ply  10/4 6/1*  eq: 0.180 (0.363) 
 Player: Opponent:  44.38% (G:13.56% B:0.42%) 55.62% (G:14.35% B:0.55%)  

5.  2ply  13/7 8/3  eq: 0.239 (0.422) 
 Player: Opponent:  43.34% (G:13.06% B:0.65%) 56.66% (G:16.23% B:0.76%)  



11: Bar/23* 24/23 3/2 

XGID=aaABBDAcCbbcbBa:0:0:1:11:2:3:0:11:3 
Pip=131149 



1.  4ply  Bar/23* 24/23 6/5  eq: +0.096 
 Player: Opponent:  53.49% (G:12.84% B:0.54%) 46.51% (G:14.13% B:0.61%)  

2.  4ply  Bar/23* 24/23 3/2  eq: +0.084 (0.012) 
 Player: Opponent:  53.18% (G:12.56% B:0.51%) 46.82% (G:13.93% B:0.59%)  

3.  4ply  Bar/23* 3/1  eq: +0.011 (0.085) 
 Player: Opponent:  51.78% (G:12.95% B:0.50%) 48.22% (G:16.03% B:0.78%)  

4.  4ply  Bar/23* 6/5 3/2  eq: +0.010 (0.086) 
 Player: Opponent:  51.81% (G:13.37% B:0.57%) 48.19% (G:16.53% B:0.84%)  

5.  2ply  Bar/23* 24/23 7/6  eq: 0.152 (0.248) 
 Player: Opponent:  47.61% (G:11.64% B:0.42%) 52.39% (G:17.49% B:0.95%)  



53: Bar/22 10/5 

XGID=bBBDAcCbbcbBaA:0:0:1:53:2:3:0:11:3 
Pip=154145 



1.  4ply  Bar/22 10/5  eq: 0.214 
 Player: Opponent:  44.15% (G:12.34% B:0.51%) 55.85% (G:14.66% B:0.54%)  

2.  4ply  Bar/22 13/8  eq: 0.295 (0.082) 
 Player: Opponent:  42.79% (G:12.67% B:0.61%) 57.21% (G:18.29% B:0.80%)  

3.  4ply  Bar/22 6/1  eq: 0.313 (0.100) 
 Player: Opponent:  41.42% (G:11.51% B:0.37%) 58.58% (G:15.23% B:0.57%)  

4.  3ply  Bar/22 21/16  eq: 0.374 (0.161) 
 Player: Opponent:  41.88% (G:13.03% B:0.67%) 58.12% (G:24.74% B:1.92%)  



61: 13/7 6/5 

XGID=bBBADcCbbcbBAa:0:0:1:61:2:3:0:11:3 
Pip=146145 



1.  4ply  13/7 6/5  eq: 0.023 
 Player: Opponent:  50.06% (G:11.82% B:0.43%) 49.94% (G:14.39% B:0.50%)  

2.  4ply  13/7 2/1  eq: 0.060 (0.037) 
 Player: Opponent:  49.05% (G:11.60% B:0.36%) 50.95% (G:14.61% B:0.50%)  

3.  4ply  13/6  eq: 0.065 (0.041) 
 Player: Opponent:  48.91% (G:11.63% B:0.42%) 51.09% (G:14.73% B:0.56%)  

4.  4ply  8/7 8/2  eq: 0.115 (0.091) 
 Player: Opponent:  47.44% (G:10.97% B:0.33%) 52.56% (G:14.40% B:0.49%)  

5.  4ply  23/16  eq: 0.119 (0.096) 
 Player: Opponent:  49.42% (G:11.41% B:0.52%) 50.58% (G:19.50% B:0.65%)  



22: 13/5 

XGID=bBBADbCbcbcBAa:0:0:1:22:2:3:0:11:3 
Pip=146138 



1.  3ply  13/5  eq: +0.214 
 Player: Opponent:  54.53% (G:16.02% B:0.53%) 45.47% (G:9.45% B:0.30%)  

2.  2ply  13/11(3) 6/4  eq: 0.171 (0.385) 
 Player: Opponent:  44.85% (G:13.24% B:0.58%) 55.15% (G:14.68% B:0.52%)  

3.  2ply  13/11(3) 5/3  eq: 0.176 (0.390) 
 Player: Opponent:  44.35% (G:11.30% B:0.41%) 55.65% (G:11.65% B:0.36%)  

4.  2ply  13/11(2) 13/9  eq: 0.262 (0.476) 
 Player: Opponent:  43.54% (G:13.17% B:0.62%) 56.46% (G:18.81% B:0.82%)  

5.  1ply  13/9 5/1  eq: 0.344 (0.558) 
 Player: Opponent:  40.48% (G:11.60% B:0.41%) 59.52% (G:15.92% B:0.76%)  



51: 8/3* 3/2 

XGID=bBBBDbBbcbcBAa:0:0:1:51:2:3:0:11:3 
Pip=138138 



1.  4ply  8/3* 3/2  eq: 0.377 
 Player: Opponent:  41.28% (G:9.95% B:0.33%) 58.72% (G:18.13% B:0.71%)  

2.  4ply  7/1  eq: 0.455 (0.078) 
 Player: Opponent:  39.50% (G:8.33% B:0.22%) 60.50% (G:17.98% B:0.70%)  

3.  4ply  23/18 7/6  eq: 0.536 (0.159) 
 Player: Opponent:  40.33% (G:10.29% B:0.47%) 59.67% (G:29.87% B:0.99%)  

4.  3ply  13/8 7/6  eq: 0.499 (0.122) 
 Player: Opponent:  38.46% (G:8.52% B:0.38%) 61.54% (G:17.17% B:0.82%)  

5.  3ply  13/7  eq: 0.561 (0.184) 
 Player: Opponent:  36.92% (G:7.81% B:0.35%) 63.08% (G:17.84% B:0.89%)  



No double 

XGID=bBBBDbBacbcBbA:0:0:1:00:2:3:0:11:3 
Pip=141132 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.72% (G:18.13% B:0.71%) 
58.73% (G:18.11% B:0.70%) 
Opponent Winning Chances: 
41.28% (G:9.95% B:0.33%) 
41.27% (G:9.91% B:0.33%) 
Cubeless Equities 
+0.253 
+0.517 
Cubeful Equities 
No double:  +0.377  
Double/Take:  +0.245 (0.132)  
Double/Pass:  +1.000 (+0.623) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.9% 


52: Cannot Move 

XGID=bBBBDbBacbcBbA:0:0:1:52:2:3:0:11:3 
Pip=141132 



1.  4ply  Cannot Move  eq: +0.141 
 Player: Opponent:  52.53% (G:16.69% B:0.62%) 47.47% (G:11.21% B:0.32%)  



31: 8/5 7/6 

XGID=bBBBDbBacbcBbA:0:0:1:31:2:3:0:11:3 
Pip=141132 



1.  3ply  8/5 7/6  eq: 0.293 
 Player: Opponent:  43.44% (G:10.66% B:0.28%) 56.56% (G:17.22% B:0.68%)  

2.  3ply  8/7 5/2  eq: 0.506 (0.213) 
 Player: Opponent:  38.91% (G:9.07% B:0.24%) 61.09% (G:19.68% B:0.77%)  

3.  3ply  7/6 5/2  eq: 0.511 (0.218) 
 Player: Opponent:  38.11% (G:9.73% B:0.27%) 61.89% (G:20.26% B:0.92%)  

4.  3ply  13/10 8/7  eq: 0.557 (0.264) 
 Player: Opponent:  36.42% (G:8.30% B:0.27%) 63.58% (G:19.89% B:0.92%)  

5.  3ply  7/3  eq: 0.602 (0.309) 
 Player: Opponent:  37.23% (G:9.66% B:0.30%) 62.77% (G:24.44% B:1.59%)  



No double 

XGID=bBBBDbBbcdBbA:0:0:1:00:2:3:0:11:3 
Pip=141128 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.45% (G:17.60% B:0.56%) 
57.47% (G:17.56% B:0.56%) 
Opponent Winning Chances: 
42.55% (G:10.13% B:0.28%) 
42.53% (G:10.12% B:0.28%) 
Cubeless Equities 
+0.219 
+0.446 
Cubeful Equities 
No double:  +0.322  
Double/Take:  +0.165 (0.157)  
Double/Pass:  +1.000 (+0.678) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.8% 


53: Bar/17 

XGID=bBBBDbBbcdBbA:0:0:1:53:2:3:0:11:3 
Pip=141128 



1.  3ply  Bar/17  eq: +0.503 
 Player: Opponent:  61.98% (G:17.91% B:0.55%) 38.02% (G:7.97% B:0.19%)  

2.  2ply  Bar/22 6/1  eq: +0.170 (0.333) 
 Player: Opponent:  53.00% (G:18.77% B:0.62%) 47.00% (G:12.86% B:0.38%)  

3.  1ply  Bar/22 21/16  eq: 0.108 (0.611) 
 Player: Opponent:  49.13% (G:17.70% B:0.76%) 50.87% (G:25.38% B:1.26%)  

4.  1ply  Bar/22 13/8  eq: 0.193 (0.696) 
 Player: Opponent:  45.97% (G:15.66% B:0.70%) 54.03% (G:21.88% B:1.19%)  



11: 7/6(2) 2/1(2) 

XGID=bBBBDbBAbcdBb:0:0:1:11:2:3:0:11:3 
Pip=133128 



1.  4ply  7/6(2) 2/1(2)  eq: 0.819 
 Player: Opponent:  31.51% (G:5.70% B:0.07%) 68.49% (G:18.96% B:0.55%)  

2.  4ply  7/5(2)  eq: 0.823 (0.004) 
 Player: Opponent:  31.65% (G:5.92% B:0.10%) 68.35% (G:19.68% B:0.55%)  

3.  4ply  7/6 7/5 2/1  eq: 0.905 (0.086) 
 Player: Opponent:  30.05% (G:5.45% B:0.07%) 69.95% (G:19.39% B:0.61%)  

4.  3ply  7/5 2/1(2)  eq: 0.979 (0.160) 
 Player: Opponent:  28.81% (G:5.58% B:0.14%) 71.19% (G:19.81% B:0.93%)  

5.  3ply  7/5 6/5 2/1  eq: 1.000 (0.181) 
 Player: Opponent:  26.00% (G:4.83% B:0.16%) 74.00% (G:21.46% B:1.15%)  



Double/Take 

XGID=bBBBDbBAedBb:0:0:1:00:2:3:0:11:3 
Pip=133124 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
68.42% (G:19.17% B:0.56%) 
68.49% (G:18.96% B:0.55%) 
Opponent Winning Chances: 
31.58% (G:5.73% B:0.07%) 
31.51% (G:5.70% B:0.07%) 
Cubeless Equities 
+0.505 
+1.032 
Cubeful Equities 
No double:  +0.766 (0.053)  
Double/Take:  +0.819  
Double/Pass:  +1.000 (+0.181) 

Best Cube action: Double / Take 


51: 17/11 

XGID=bBBBDbBAedBb:1:1:1:51:2:3:0:11:3 
Pip=133124 



1.  4ply  17/11  eq: +0.381 
 Player: Opponent:  67.15% (G:18.13% B:0.68%) 32.85% (G:5.68% B:0.10%)  

2.  4ply  17/16 6/1  eq: +0.303 (0.079) 
 Player: Opponent:  63.28% (G:21.92% B:0.75%) 36.72% (G:8.71% B:0.21%)  

3.  4ply  21/16 17/16  eq: +0.300 (0.082) 
 Player: Opponent:  64.35% (G:19.35% B:0.78%) 35.65% (G:9.07% B:0.11%)  

4.  4ply  6/5 6/1  eq: +0.290 (0.092) 
 Player: Opponent:  63.23% (G:20.74% B:0.72%) 36.77% (G:8.63% B:0.20%)  

5.  2ply  13/7  eq: +0.073 (0.309) 
 Player: Opponent:  57.53% (G:18.36% B:0.96%) 42.47% (G:14.91% B:0.44%)  



65: 13/2 

XGID=bBBBDAbBedBb:1:1:1:65:2:3:0:11:3 
Pip=127124 



1.  4ply  13/2  eq: 0.632 
 Player: Opponent:  22.99% (G:3.35% B:0.04%) 77.01% (G:17.91% B:0.60%)  

2.  4ply  13/8 13/7  eq: 0.702 (0.070) 
 Player: Opponent:  22.24% (G:3.56% B:0.05%) 77.76% (G:22.54% B:0.95%)  

3.  3ply  13/7 6/1  eq: 0.833 (0.201) 
 Player: Opponent:  18.68% (G:2.74% B:0.07%) 81.32% (G:25.89% B:1.30%)  

4.  3ply  23/17 6/1  eq: 0.851 (0.219) 
 Player: Opponent:  21.85% (G:4.71% B:0.10%) 78.15% (G:36.35% B:1.24%)  

5.  2ply  23/18 23/17  eq: 0.913 (0.280) 
 Player: Opponent:  20.97% (G:4.48% B:0.09%) 79.03% (G:40.36% B:1.06%)  



51: 13/12* 12/7 

XGID=bBBBDAaBedBab:1:1:1:51:2:3:0:11:3 
Pip=127113 



1.  4ply  13/12* 12/7  eq: +0.778 
 Player: Opponent:  81.39% (G:21.56% B:1.13%) 18.61% (G:3.65% B:0.11%)  

2.  4ply  13/8 13/12*  eq: +0.756 (0.022) 
 Player: Opponent:  81.01% (G:20.32% B:0.98%) 18.99% (G:3.43% B:0.09%)  

3.  4ply  21/16 13/12*  eq: +0.742 (0.035) 
 Player: Opponent:  81.41% (G:18.63% B:0.87%) 18.59% (G:3.86% B:0.24%)  

4.  4ply  13/12* 11/6  eq: +0.685 (0.093) 
 Player: Opponent:  78.63% (G:19.03% B:0.89%) 21.37% (G:3.39% B:0.11%)  

5.  3ply  13/12* 6/1  eq: +0.654 (0.124) 
 Player: Opponent:  77.12% (G:21.96% B:0.94%) 22.88% (G:6.42% B:0.17%)  



52: Bar/18* 

XGID=abBBBDAAAedBab:1:1:1:52:2:3:0:11:3 
Pip=121125 



1.  3ply  Bar/18*  eq: 0.359 
 Player: Opponent:  33.57% (G:12.30% B:0.34%) 66.43% (G:22.80% B:1.25%)  

2.  2ply  Bar/23 6/1  eq: 0.844 (0.484) 
 Player: Opponent:  15.77% (G:1.76% B:0.02%) 84.23% (G:20.16% B:0.79%)  



64: Bar/21 13/7* 

XGID=bBBBDaAAedBabA:1:1:1:64:2:3:0:11:3 
Pip=139118 



1.  3ply  Bar/21 13/7*  eq: +0.672 
 Player: Opponent:  77.38% (G:21.79% B:0.95%) 22.62% (G:4.83% B:0.08%)  

2.  2ply  Bar/21 11/5  eq: +0.217 (0.455) 
 Player: Opponent:  61.60% (G:18.74% B:0.75%) 38.40% (G:9.72% B:0.21%)  

3.  1ply  Bar/15  eq: +0.128 (0.544) 
 Player: Opponent:  59.18% (G:21.02% B:0.91%) 40.82% (G:15.89% B:0.44%)  



64: Cannot Move 

XGID=abBBBDAAedCab:1:1:1:64:2:3:0:11:3 
Pip=129125 



1.  4ply  Cannot Move  eq: 0.826 
 Player: Opponent:  17.11% (G:2.67% B:0.04%) 82.89% (G:22.11% B:0.93%)  



21: 6/3 

XGID=abBBBDAAedCab:1:1:1:21:2:3:0:11:3 
Pip=129125 



1.  4ply  6/3  eq: +0.666 (+0.005) 
 Player: Opponent:  77.14% (G:21.91% B:1.11%) 22.86% (G:5.23% B:0.16%)  

2.  4ply  11/10 6/4  eq: +0.661 
 Player: Opponent:  77.06% (G:21.45% B:1.11%) 22.94% (G:5.07% B:0.14%)  

3.  4ply  6/5 6/4  eq: +0.660 (0.001) 
 Player: Opponent:  76.96% (G:21.69% B:1.11%) 23.04% (G:5.15% B:0.15%)  

4.  4ply  11/9 6/5  eq: +0.643 (0.017) 
 Player: Opponent:  76.58% (G:21.06% B:1.10%) 23.42% (G:5.22% B:0.15%)  

5.  4ply  7/5 6/5  eq: +0.631 (0.029) 
 Player: Opponent:  76.23% (G:19.96% B:0.93%) 23.77% (G:4.19% B:0.12%)  



51: Bar/24 23/18* 

XGID=abCBBCAAedCab:1:1:1:51:2:3:0:11:3 
Pip=126125 



1.  3ply  Bar/24 23/18*  eq: 0.436 
 Player: Opponent:  33.55% (G:13.08% B:0.41%) 66.45% (G:29.50% B:2.44%)  

2.  2ply  Bar/24 6/1  eq: 0.872 (0.436) 
 Player: Opponent:  17.36% (G:2.69% B:0.04%) 82.64% (G:26.79% B:1.08%)  



54: Bar/21 6/1* 

XGID=aaCBBCaAedCabA:1:1:1:54:2:3:0:11:3 
Pip=144119 



1.  3ply  Bar/21 6/1*  eq: +0.351 
 Player: Opponent:  64.39% (G:28.25% B:1.89%) 35.61% (G:14.77% B:0.37%)  

2.  3ply  Bar/21 11/6  eq: +0.181 (0.170) 
 Player: Opponent:  59.60% (G:20.90% B:0.93%) 40.40% (G:11.14% B:0.20%)  

3.  3ply  Bar/16  eq: +0.166 (0.185) 
 Player: Opponent:  59.88% (G:20.50% B:1.04%) 40.12% (G:13.39% B:0.26%)  



61: Bar/24* 24/18 

XGID=aAaCBBBaAedDab:1:1:1:61:2:3:0:11:3 
Pip=135120 



1.  3ply  Bar/24* 24/18  eq: +0.231 
 Player: Opponent:  51.63% (G:24.41% B:0.68%) 48.37% (G:18.38% B:0.57%)  

2.  2ply  Bar/24* 23/17  eq: 0.043 (0.275) 
 Player: Opponent:  43.70% (G:21.74% B:0.51%) 56.30% (G:22.78% B:2.13%)  

3.  2ply  Bar/24* 18/12  eq: 0.221 (0.452) 
 Player: Opponent:  37.57% (G:17.91% B:0.41%) 62.43% (G:22.99% B:1.67%)  



66: Cannot Move 

XGID=aCBBBbAedDabA:1:1:1:66:2:3:0:11:3 
Pip=159113 



1.  4ply  Cannot Move  eq: 0.709 
 Player: Opponent:  36.17% (G:10.51% B:0.40%) 63.83% (G:38.31% B:1.03%)  



No double 

XGID=aCBBBbAedDabA:1:1:1:00:2:3:0:11:3 
Pip=159113 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
63.83% (G:38.31% B:1.03%) 
64.00% (G:38.40% B:1.03%) 
Opponent Winning Chances: 
36.17% (G:10.51% B:0.40%) 
36.00% (G:10.40% B:0.40%) 
Cubeless Equities 
+0.580 
+1.063 
Cubeful Equities 
No redouble:  +0.709  
Redouble/Take:  +0.696 (0.014)  
Redouble/Pass:  +1.000 (+0.291) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 4.3% 


52: 23/16 

XGID=aCBBBbAedDabA:1:1:1:52:2:3:0:11:3 
Pip=159113 



1.  3ply  23/16  eq: +0.414 
 Player: Opponent:  56.08% (G:28.23% B:0.77%) 43.92% (G:15.87% B:0.65%)  

2.  3ply  23/18 5/3  eq: +0.220 (0.195) 
 Player: Opponent:  51.13% (G:24.13% B:0.68%) 48.87% (G:20.41% B:0.65%)  

3.  2ply  18/16 18/13  eq: +0.046 (0.368) 
 Player: Opponent:  45.65% (G:23.31% B:0.55%) 54.35% (G:21.36% B:1.78%)  

4.  2ply  18/11  eq: +0.012 (0.402) 
 Player: Opponent:  44.62% (G:22.77% B:0.53%) 55.38% (G:21.68% B:1.78%)  

5.  1ply  18/16 6/1  eq: 0.115 (0.529) 
 Player: Opponent:  40.83% (G:21.91% B:0.65%) 59.17% (G:24.43% B:1.57%)  



65: Cannot Move 

XGID=CBBBbaAedDabA:1:1:1:65:2:3:0:11:3 
Pip=159106 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  31.16% (G:7.39% B:0.31%) 68.84% (G:44.59% B:1.16%)  



No double 

XGID=CBBBbaAedDabA:1:1:1:00:2:3:0:11:3 
Pip=159106 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
67.58% (G:43.72% B:1.03%) 
67.38% (G:43.80% B:1.00%) 
Opponent Winning Chances: 
32.42% (G:7.32% B:0.33%) 
32.62% (G:7.32% B:0.35%) 
Cubeless Equities 
+0.749 
+1.378 
Cubeful Equities 
No redouble:  +0.863 (0.137)  
Redouble/Take:  +1.018 (+0.018)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


31: 6/2 

XGID=CBBBbaAedDabA:1:1:1:31:2:3:0:11:3 
Pip=159106 



1.  4ply  6/2  eq: +0.910 
 Player: Opponent:  69.04% (G:42.79% B:1.08%) 30.96% (G:6.75% B:0.32%)  

2.  4ply  16/15 5/2  eq: +0.897 (0.014) 
 Player: Opponent:  68.90% (G:41.52% B:0.99%) 31.10% (G:6.70% B:0.34%)  

3.  3ply  18/17 5/2  eq: +0.806 (0.104) 
 Player: Opponent:  66.83% (G:42.16% B:1.20%) 33.17% (G:8.93% B:0.40%)  

4.  2ply  18/14*  eq: +0.641 (0.269) 
 Player: Opponent:  60.55% (G:39.55% B:1.23%) 39.45% (G:13.14% B:0.81%)  

5.  2ply  16/13 2/1  eq: +0.601 (0.310) 
 Player: Opponent:  59.92% (G:31.15% B:0.61%) 40.08% (G:9.54% B:0.50%)  



43: Bar/21 11/8 

XGID=CBBBbaAddDbbA:1:1:1:43:2:3:0:11:3 
Pip=159102 



1.  4ply  Bar/21 11/8  eq: 0.986 
 Player: Opponent:  30.72% (G:5.92% B:0.24%) 69.28% (G:34.85% B:0.56%)  

2.  4ply  Bar/22 21/17  eq: 0.988 (0.002) 
 Player: Opponent:  33.87% (G:8.47% B:0.42%) 66.13% (G:47.21% B:2.42%)  

3.  4ply  Bar/18  eq: 1.000 (0.014) 
 Player: Opponent:  31.83% (G:6.64% B:0.27%) 68.17% (G:43.88% B:1.04%)  

4.  3ply  Bar/21 5/2  eq: 1.151 (0.165) 
 Player: Opponent:  22.47% (G:3.64% B:0.19%) 77.53% (G:48.67% B:1.03%)  

5.  2ply  Bar/21 4/1  eq: 1.215 (0.229) 
 Player: Opponent:  19.89% (G:3.33% B:0.10%) 80.11% (G:50.78% B:1.32%)  



Double/Pass 

XGID=CBBBbAaddEbb:1:1:1:00:2:3:0:11:3 
Pip=152102 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
68.42% (G:34.66% B:0.51%) 
67.79% (G:34.97% B:0.51%) 
Opponent Winning Chances: 
31.58% (G:6.11% B:0.26%) 
32.21% (G:6.45% B:0.30%) 
Cubeless Equities 
+0.677 
+1.248 
Cubeful Equities 
No redouble:  +0.837 (0.065)  
Redouble/Take:  +0.902  
Redouble/Pass:  +1.000 (+0.098) 

Best Cube action: Redouble / Take 


Wins 2pts. 



