63: 24/18 13/10 

XGID=bECeEceB:0:0:1:63:4:4:0:11:3 
Pip=167167 



1.  Book^{1}  24/18 13/10  eq: +0.011 
 Player: Opponent:  50.37% (G:12.69% B:0.55%) 49.63% (G:13.07% B:0.54%)  

2.  Book^{1}  24/15  eq: 0.008 (0.018) 
 Player: Opponent:  50.30% (G:11.57% B:0.48%) 49.70% (G:12.90% B:0.46%)  

3.  Book^{1}  13/4  eq: 0.057 (0.068) 
 Player: Opponent:  48.43% (G:13.73% B:0.67%) 51.57% (G:14.19% B:0.74%)  

4.  Book^{1}  24/21 13/7  eq: 0.059 (0.070) 
 Player: Opponent:  48.47% (G:13.05% B:0.57%) 51.53% (G:13.71% B:0.59%)  

5.  Book^{1}  24/21 24/18  eq: 0.083 (0.094) 
 Player: Opponent:  48.78% (G:11.17% B:0.51%) 51.22% (G:14.61% B:0.50%)  


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



42: 13/7* 

XGID=bECAeDcAeA:0:0:1:42:4:4:0:11:3 
Pip=158167 



1.  4ply  13/7*  eq: 0.081 
 Player: Opponent:  47.88% (G:12.88% B:0.57%) 52.12% (G:14.19% B:0.82%)  

2.  4ply  8/4 6/4  eq: 0.100 (0.018) 
 Player: Opponent:  46.98% (G:12.49% B:0.43%) 53.02% (G:13.14% B:0.66%)  

3.  3ply  24/18  eq: 0.215 (0.133) 
 Player: Opponent:  44.83% (G:9.20% B:0.34%) 55.17% (G:13.89% B:0.46%)  

4.  3ply  24/22 13/9  eq: 0.266 (0.185) 
 Player: Opponent:  43.20% (G:10.41% B:0.38%) 56.80% (G:15.06% B:0.69%)  

5.  3ply  24/22 24/20  eq: 0.269 (0.188) 
 Player: Opponent:  43.35% (G:8.81% B:0.31%) 56.65% (G:14.19% B:0.47%)  



54: Bar/20 24/20 

XGID=bECAdDcaeAA:0:0:1:54:4:4:0:11:3 
Pip=165161 



1.  3ply  Bar/20 24/20  eq: +0.233 
 Player: Opponent:  55.49% (G:12.63% B:0.45%) 44.51% (G:7.16% B:0.20%)  

2.  2ply  Bar/16  eq: 0.084 (0.317) 
 Player: Opponent:  48.62% (G:11.87% B:0.60%) 51.38% (G:15.40% B:0.65%)  

3.  2ply  Bar/21 13/8  eq: 0.094 (0.327) 
 Player: Opponent:  47.87% (G:12.80% B:0.66%) 52.13% (G:15.25% B:0.71%)  

4.  2ply  Bar/20 13/9  eq: 0.113 (0.346) 
 Player: Opponent:  47.59% (G:13.22% B:0.81%) 52.41% (G:16.47% B:0.95%)  

5.  2ply  Bar/21 10/5  eq: 0.152 (0.385) 
 Player: Opponent:  46.68% (G:11.89% B:0.55%) 53.32% (G:16.04% B:0.76%)  



51: 13/7 

XGID=bECAdDcaeB:0:0:1:51:4:4:0:11:3 
Pip=156161 



1.  4ply  13/7  eq: 0.381 
 Player: Opponent:  41.06% (G:6.31% B:0.18%) 58.94% (G:14.58% B:0.49%)  

2.  4ply  24/18  eq: 0.387 (0.006) 
 Player: Opponent:  41.18% (G:7.29% B:0.25%) 58.82% (G:16.65% B:0.66%)  

3.  4ply  24/23 13/8  eq: 0.388 (0.007) 
 Player: Opponent:  40.48% (G:7.27% B:0.20%) 59.52% (G:14.93% B:0.57%)  

4.  4ply  24/23 7/2  eq: 0.426 (0.045) 
 Player: Opponent:  39.75% (G:6.73% B:0.16%) 60.25% (G:15.53% B:0.58%)  

5.  4ply  24/23 8/3  eq: 0.431 (0.051) 
 Player: Opponent:  39.87% (G:7.71% B:0.24%) 60.13% (G:17.37% B:0.78%)  



No double 

XGID=bECAcDcbeB:0:0:1:00:4:4:0:11:3 
Pip=156155 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.94% (G:14.58% B:0.49%) 
58.95% (G:14.58% B:0.49%) 
Opponent Winning Chances: 
41.06% (G:6.31% B:0.18%) 
41.05% (G:6.31% B:0.18%) 
Cubeless Equities 
+0.267 
+0.548 
Cubeful Equities 
No double:  +0.381  
Double/Take:  +0.242 (0.138)  
Double/Pass:  +1.000 (+0.619) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.4% 


55: 20/10(2) 

XGID=bECAcDcbeB:0:0:1:55:4:4:0:11:3 
Pip=156155 



1.  3ply  20/10(2)  eq: +0.719 
 Player: Opponent:  69.61% (G:9.57% B:0.29%) 30.39% (G:3.79% B:0.07%)  

2.  2ply  13/3(2)  eq: +0.415 (0.303) 
 Player: Opponent:  59.91% (G:15.49% B:0.70%) 40.09% (G:6.16% B:0.20%)  

3.  2ply  20/15 20/10 13/8  eq: +0.375 (0.344) 
 Player: Opponent:  61.16% (G:10.96% B:0.40%) 38.84% (G:8.13% B:0.22%)  

4.  2ply  20/5 10/5  eq: +0.372 (0.347) 
 Player: Opponent:  59.86% (G:15.08% B:0.79%) 40.14% (G:9.54% B:0.25%)  

5.  2ply  20/15(2) 13/8(2)  eq: +0.369 (0.349) 
 Player: Opponent:  60.77% (G:11.75% B:0.34%) 39.23% (G:8.06% B:0.23%)  



62: 24/18 13/11 

XGID=bECCcDcbe:0:0:1:62:4:4:0:11:3 
Pip=136155 



1.  XG Roller+  24/18 6/4  eq: 0.739 
 Player: Opponent:  30.80% (G:3.89% B:0.12%) 69.20% (G:12.14% B:0.33%)  

2.  XG Roller+  24/18 13/11  eq: 0.756 (0.017) 
 Player: Opponent:  29.78% (G:3.31% B:0.09%) 70.22% (G:10.32% B:0.29%)  

3.  4ply  13/7 6/4  eq: 0.779 (0.040) 
 Player: Opponent:  29.22% (G:4.00% B:0.10%) 70.78% (G:10.47% B:0.37%)  

4.  4ply  13/5  eq: 0.781 (0.043) 
 Player: Opponent:  29.14% (G:3.90% B:0.08%) 70.86% (G:10.33% B:0.35%)  

5.  4ply  24/22 13/7  eq: 0.790 (0.051) 
 Player: Opponent:  29.21% (G:3.39% B:0.06%) 70.79% (G:10.53% B:0.26%)  



No double 

XGID=aEaCCbDacbe:0:0:1:00:4:4:0:11:3 
Pip=136147 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
70.22% (G:10.30% B:0.30%) 
70.39% (G:9.84% B:0.28%) 
Opponent Winning Chances: 
29.78% (G:3.27% B:0.09%) 
29.61% (G:2.75% B:0.07%) 
Cubeless Equities 
+0.478 
+0.982 
Cubeful Equities 
No double:  +0.743 (0.028)  
Double/Take:  +0.771  
Double/Pass:  +1.000 (+0.229) 

Best Cube action: Double / Take 


43: 13/6 

XGID=aEaCCbDacbe:0:0:1:43:4:4:0:11:3 
Pip=136147 



1.  4ply  13/6  eq: +0.558 
 Player: Opponent:  66.64% (G:5.98% B:0.15%) 33.36% (G:2.70% B:0.07%)  

2.  4ply  13/9 10/7*  eq: +0.511 (0.047) 
 Player: Opponent:  62.58% (G:14.06% B:0.56%) 37.42% (G:8.06% B:0.31%)  

3.  3ply  8/1*  eq: +0.371 (0.187) 
 Player: Opponent:  60.77% (G:9.95% B:0.25%) 39.23% (G:6.53% B:0.16%)  

4.  3ply  13/10 6/2  eq: +0.344 (0.215) 
 Player: Opponent:  60.71% (G:7.96% B:0.25%) 39.29% (G:6.15% B:0.12%)  

5.  3ply  13/10 13/9  eq: +0.331 (0.227) 
 Player: Opponent:  59.97% (G:7.90% B:0.27%) 40.03% (G:6.42% B:0.14%)  



64: 24/18 8/4 

XGID=aFaCCbCacbe:0:0:1:64:4:4:0:11:3 
Pip=129147 



1.  4ply  24/18 8/4  eq: 0.485 
 Player: Opponent:  33.86% (G:0.94% B:0.04%) 66.14% (G:1.28% B:0.03%)  

2.  4ply  24/18 7/3  eq: 0.503 (0.018) 
 Player: Opponent:  33.33% (G:0.98% B:0.04%) 66.67% (G:1.40% B:0.03%)  

3.  4ply  24/18 6/2  eq: 0.505 (0.020) 
 Player: Opponent:  33.31% (G:0.93% B:0.04%) 66.69% (G:1.47% B:0.04%)  

4.  4ply  24/18 11/7  eq: 0.511 (0.026) 
 Player: Opponent:  33.09% (G:0.83% B:0.03%) 66.91% (G:1.34% B:0.03%)  

5.  4ply  24/18 13/9  eq: 0.529 (0.043) 
 Player: Opponent:  33.08% (G:1.85% B:0.05%) 66.92% (G:3.36% B:0.08%)  



No double 

XGID=FbCCbCabbea:0:0:1:00:4:4:0:11:3 
Pip=129137 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
66.14% (G:1.28% B:0.03%) 
66.14% (G:1.28% B:0.03%) 
Opponent Winning Chances: 
33.86% (G:0.94% B:0.04%) 
33.86% (G:0.95% B:0.04%) 
Cubeless Equities 
+0.326 
+0.659 
Cubeful Equities 
No double:  +0.485  
Double/Take:  +0.424 (0.062)  
Double/Pass:  +1.000 (+0.515) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.7% 


53: 13/8 6/3 

XGID=FbCCbCabbea:0:0:1:53:4:4:0:11:3 
Pip=129137 



1.  4ply  13/8 6/3  eq: +0.483 
 Player: Opponent:  65.82% (G:1.15% B:0.03%) 34.18% (G:0.93% B:0.02%)  

2.  4ply  13/10 6/1  eq: +0.469 (0.014) 
 Player: Opponent:  65.39% (G:1.29% B:0.04%) 34.61% (G:1.04% B:0.03%)  

3.  4ply  13/5  eq: +0.465 (0.018) 
 Player: Opponent:  65.27% (G:1.26% B:0.04%) 34.73% (G:0.98% B:0.03%)  

4.  4ply  6/3 6/1  eq: +0.463 (0.020) 
 Player: Opponent:  65.27% (G:1.23% B:0.05%) 34.73% (G:1.07% B:0.03%)  

5.  4ply  10/5 6/3  eq: +0.453 (0.030) 
 Player: Opponent:  64.95% (G:1.34% B:0.05%) 35.05% (G:1.05% B:0.03%)  



41: 8/4 6/5 

XGID=AEbDCbBabbea:0:0:1:41:4:4:0:11:3 
Pip=121137 



1.  4ply  7/3 6/5  eq: 0.590 (+0.003) 
 Player: Opponent:  30.57% (G:0.94% B:0.05%) 69.43% (G:1.25% B:0.02%)  

2.  4ply  8/4 6/5  eq: 0.593 
 Player: Opponent:  30.55% (G:0.90% B:0.05%) 69.45% (G:1.28% B:0.03%)  

3.  4ply  6/5 6/2  eq: 0.603 (0.010) 
 Player: Opponent:  30.29% (G:0.89% B:0.05%) 69.71% (G:1.36% B:0.03%)  

4.  4ply  11/10 8/4  eq: 0.608 (0.015) 
 Player: Opponent:  30.18% (G:0.88% B:0.04%) 69.82% (G:1.34% B:0.03%)  

5.  4ply  11/7 6/5  eq: 0.609 (0.016) 
 Player: Opponent:  30.13% (G:0.82% B:0.05%) 69.87% (G:1.24% B:0.02%)  



No double 

XGID=AEbDCbBaabdab:0:0:1:00:4:4:0:11:3 
Pip=121132 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
69.45% (G:1.28% B:0.03%) 
69.45% (G:1.28% B:0.03%) 
Opponent Winning Chances: 
30.55% (G:0.90% B:0.05%) 
30.55% (G:0.90% B:0.05%) 
Cubeless Equities 
+0.393 
+0.793 
Cubeful Equities 
No double:  +0.593  
Double/Take:  +0.581 (0.012)  
Double/Pass:  +1.000 (+0.407) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.7% 


66: 10/4(3) 8/2 

XGID=AEbDCbBaabdab:0:0:1:66:4:4:0:11:3 
Pip=121132 



1.  3ply  10/4(3) 8/2  eq: +0.725 
 Player: Opponent:  72.36% (G:2.42% B:0.02%) 27.64% (G:1.74% B:0.02%)  

2.  2ply  10/4(2) 8/2(2)  eq: +0.421 (0.304) 
 Player: Opponent:  62.24% (G:7.91% B:0.31%) 37.76% (G:4.70% B:0.14%)  

3.  2ply  8/2(4)  eq: +0.368 (0.356) 
 Player: Opponent:  62.70% (G:2.68% B:0.02%) 37.30% (G:3.38% B:0.11%)  

4.  2ply  10/4 8/2(3)  eq: +0.173 (0.552) 
 Player: Opponent:  56.56% (G:6.22% B:0.16%) 43.44% (G:7.84% B:0.27%)  



43: 8/5 7/3 

XGID=AACEbCbBaabdab:0:0:1:43:4:4:0:11:3 
Pip=97132 



1.  XG Roller+  7/3 6/3  eq: 0.709 
 Player: Opponent:  28.33% (G:2.38% B:0.07%) 71.67% (G:2.65% B:0.03%)  

2.  XG Roller+  8/5 7/3  eq: 0.725 (0.016) 
 Player: Opponent:  27.90% (G:2.27% B:0.05%) 72.10% (G:2.91% B:0.03%)  

3.  4ply  11/7 6/3  eq: 0.754 (0.044) 
 Player: Opponent:  27.09% (G:1.72% B:0.02%) 72.91% (G:2.49% B:0.03%)  

4.  4ply  6/3 6/2  eq: 0.766 (0.057) 
 Player: Opponent:  26.99% (G:1.74% B:0.02%) 73.01% (G:2.89% B:0.07%)  

5.  4ply  11/7 8/5  eq: 0.772 (0.063) 
 Player: Opponent:  26.66% (G:1.67% B:0.02%) 73.34% (G:2.36% B:0.02%)  



Double/Take 

XGID=AACEbCbBaadbba:0:0:1:00:4:4:0:11:3 
Pip=97125 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
72.94% (G:2.40% B:0.03%) 
72.93% (G:2.39% B:0.03%) 
Opponent Winning Chances: 
27.06% (G:1.83% B:0.02%) 
27.07% (G:1.83% B:0.02%) 
Cubeless Equities 
+0.465 
+0.938 
Cubeful Equities 
No double:  +0.654 (0.097)  
Double/Take:  +0.751  
Double/Pass:  +1.000 (+0.249) 

Best Cube action: Double / Take 


43: 6/2 4/1 

XGID=AACEbCbBaadbba:1:1:1:43:4:4:0:11:3 
Pip=97125 



1.  4ply  6/3 6/2  eq: +0.314 
 Player: Opponent:  70.48% (G:2.45% B:0.02%) 29.52% (G:1.99% B:0.02%)  

2.  4ply  6/2 4/1  eq: +0.312 (0.002) 
 Player: Opponent:  70.35% (G:2.66% B:0.02%) 29.65% (G:2.15% B:0.03%)  

3.  4ply  8/5 6/2  eq: +0.267 (0.047) 
 Player: Opponent:  68.31% (G:3.13% B:0.04%) 31.69% (G:2.17% B:0.03%)  

4.  4ply  8/4 6/3  eq: +0.256 (0.057) 
 Player: Opponent:  67.98% (G:2.88% B:0.03%) 32.02% (G:2.23% B:0.03%)  

5.  4ply  8/1  eq: +0.240 (0.074) 
 Player: Opponent:  67.20% (G:3.22% B:0.03%) 32.80% (G:2.47% B:0.04%)  



52: 7/2 6/4 

XGID=ABABDbCbBaadbba:1:1:1:52:4:4:0:11:3 
Pip=90125 



1.  4ply  11/9 7/2  eq: 0.340 
 Player: Opponent:  28.31% (G:2.32% B:0.02%) 71.69% (G:2.62% B:0.04%)  

2.  4ply  11/4  eq: 0.342 (0.002) 
 Player: Opponent:  28.24% (G:2.14% B:0.02%) 71.76% (G:2.39% B:0.02%)  

3.  4ply  7/2 6/4  eq: 0.342 (0.003) 
 Player: Opponent:  28.24% (G:2.25% B:0.02%) 71.76% (G:2.71% B:0.04%)  

4.  4ply  7/2 5/3  eq: 0.356 (0.016) 
 Player: Opponent:  27.88% (G:2.25% B:0.03%) 72.12% (G:3.12% B:0.05%)  

5.  4ply  11/9 6/1  eq: 0.359 (0.019) 
 Player: Opponent:  27.54% (G:2.10% B:0.02%) 72.46% (G:2.53% B:0.04%)  



43: 6/2 4/1 

XGID=ABABDbCbBacbcaa:1:1:1:43:4:4:0:11:3 
Pip=90118 



1.  XG Roller+  6/3 6/2  eq: +0.305 
 Player: Opponent:  69.34% (G:3.60% B:0.04%) 30.66% (G:3.07% B:0.07%)  

2.  XG Roller+  6/2 4/1  eq: +0.279 (0.026) 
 Player: Opponent:  68.57% (G:3.16% B:0.02%) 31.43% (G:3.28% B:0.08%)  

3.  4ply  8/4 6/3  eq: +0.250 (0.055) 
 Player: Opponent:  67.62% (G:3.14% B:0.04%) 32.38% (G:2.29% B:0.03%)  

4.  4ply  8/1  eq: +0.236 (0.069) 
 Player: Opponent:  67.09% (G:3.07% B:0.03%) 32.91% (G:2.45% B:0.03%)  

5.  4ply  8/5 6/2  eq: +0.218 (0.088) 
 Player: Opponent:  66.43% (G:3.10% B:0.02%) 33.57% (G:2.83% B:0.04%)  



32: 6/3 4/2 

XGID=BCAACbCbBacbcaa:1:1:1:32:4:4:0:11:3 
Pip=83118 



1.  4ply  6/3 4/2  eq: 0.237 
 Player: Opponent:  32.34% (G:2.91% B:0.03%) 67.66% (G:2.03% B:0.01%)  

2.  4ply  11/8 4/2  eq: 0.253 (0.016) 
 Player: Opponent:  31.70% (G:2.96% B:0.03%) 68.30% (G:2.33% B:0.01%)  

3.  4ply  11/9 6/3  eq: 0.276 (0.039) 
 Player: Opponent:  30.94% (G:2.94% B:0.04%) 69.06% (G:2.77% B:0.02%)  

4.  4ply  13/10 4/2  eq: 0.289 (0.051) 
 Player: Opponent:  30.59% (G:3.07% B:0.04%) 69.41% (G:3.31% B:0.05%)  

5.  4ply  13/11 6/3  eq: 0.293 (0.056) 
 Player: Opponent:  30.56% (G:2.93% B:0.04%) 69.44% (G:3.71% B:0.02%)  



32: 6/4 6/3 

XGID=BCAACbCbBabbbbb:1:1:1:32:4:4:0:11:3 
Pip=83113 



1.  4ply  6/4 6/3  eq: +0.222 
 Player: Opponent:  66.86% (G:2.25% B:0.01%) 33.14% (G:3.04% B:0.04%)  

2.  4ply  8/5 6/4  eq: +0.187 (0.034) 
 Player: Opponent:  65.09% (G:2.79% B:0.01%) 34.91% (G:3.07% B:0.04%)  

3.  4ply  8/3  eq: +0.175 (0.046) 
 Player: Opponent:  64.65% (G:2.41% B:0.01%) 35.35% (G:3.00% B:0.04%)  

4.  4ply  6/3 4/2  eq: +0.159 (0.063) 
 Player: Opponent:  64.54% (G:1.91% B:0.01%) 35.46% (G:3.64% B:0.05%)  

5.  4ply  6/1  eq: +0.150 (0.071) 
 Player: Opponent:  64.33% (G:1.79% B:0.01%) 35.67% (G:3.76% B:0.06%)  



63: 13/10 13/7 

XGID=BCBBAbCbBabbbbb:1:1:1:63:4:4:0:11:3 
Pip=78113 



1.  4ply  13/10 13/7  eq: 0.213 
 Player: Opponent:  33.11% (G:2.53% B:0.02%) 66.89% (G:0.87% B:0.00%)  

2.  4ply  11/2  eq: 0.266 (0.053) 
 Player: Opponent:  31.55% (G:2.84% B:0.03%) 68.45% (G:3.08% B:0.01%)  

3.  4ply  13/7 11/8  eq: 0.277 (0.064) 
 Player: Opponent:  31.74% (G:2.75% B:0.03%) 68.26% (G:4.12% B:0.02%)  

4.  4ply  13/10 11/5  eq: 0.294 (0.081) 
 Player: Opponent:  31.21% (G:3.15% B:0.04%) 68.79% (G:5.00% B:0.02%)  

5.  4ply  13/4  eq: 0.296 (0.083) 
 Player: Opponent:  31.34% (G:3.52% B:0.05%) 68.66% (G:5.81% B:0.03%)  



31: 8/5 6/5 

XGID=BCBBAbCBaaabbbbb:1:1:1:31:4:4:0:11:3 
Pip=78104 



1.  XG Roller+  8/5 2/1  eq: +0.203 
 Player: Opponent:  64.74% (G:1.16% B:0.01%) 35.26% (G:2.31% B:0.05%)  

2.  XG Roller+  8/5 6/5  eq: +0.182 (0.021) 
 Player: Opponent:  63.46% (G:1.18% B:0.01%) 36.54% (G:2.23% B:0.04%)  

3.  4ply  8/4  eq: +0.157 (0.047) 
 Player: Opponent:  64.25% (G:0.69% B:0.00%) 35.75% (G:2.38% B:0.02%)  

4.  4ply  4/1 2/1  eq: +0.148 (0.056) 
 Player: Opponent:  64.40% (G:0.62% B:0.00%) 35.60% (G:2.96% B:0.02%)  

5.  4ply  8/5 3/2  eq: +0.141 (0.063) 
 Player: Opponent:  63.76% (G:0.76% B:0.00%) 36.24% (G:2.81% B:0.03%)  



62: 11/5 10/8 

XGID=BCBBBbBBaaabbbbb:1:1:1:62:4:4:0:11:3 
Pip=74104 



1.  4ply  11/5 10/8  eq: 0.167 
 Player: Opponent:  35.84% (G:2.23% B:0.02%) 64.16% (G:1.05% B:0.01%)  

2.  4ply  11/9 10/4  eq: 0.168 (0.001) 
 Player: Opponent:  35.76% (G:2.17% B:0.02%) 64.24% (G:1.03% B:0.01%)  

3.  4ply  11/3  eq: 0.170 (0.003) 
 Player: Opponent:  35.65% (G:2.18% B:0.02%) 64.35% (G:1.09% B:0.01%)  

4.  4ply  10/2  eq: 0.173 (0.006) 
 Player: Opponent:  35.49% (G:2.11% B:0.02%) 64.51% (G:1.10% B:0.01%)  

5.  4ply  11/9 7/1  eq: 0.181 (0.014) 
 Player: Opponent:  35.18% (G:2.35% B:0.02%) 64.82% (G:1.82% B:0.04%)  



63: 8/5 8/2 

XGID=BCBBBbBBaabcbbb:1:1:1:63:4:4:0:11:3 
Pip=7496 



1.  3ply  8/5 8/2  eq: +0.033 
 Player: Opponent:  59.24% (G:1.25% B:0.01%) 40.76% (G:2.56% B:0.02%)  

2.  3ply  13/4  eq: 0.109 (0.142) 
 Player: Opponent:  49.12% (G:1.26% B:0.03%) 50.88% (G:2.93% B:0.05%)  

3.  2ply  8/2 5/2  eq: 0.313 (0.346) 
 Player: Opponent:  44.92% (G:1.12% B:0.01%) 55.08% (G:9.87% B:0.10%)  

4.  2ply  8/2 4/1  eq: 0.317 (0.350) 
 Player: Opponent:  44.75% (G:1.08% B:0.01%) 55.25% (G:9.80% B:0.10%)  

5.  1ply  13/10 8/2  eq: 1.091 (1.123) 
 Player: Opponent:  23.62% (G:2.00% B:0.03%) 76.38% (G:41.58% B:1.28%)  



42: 8/2 

XGID=BDBBCbBaabcbbb:1:1:1:42:4:4:0:11:3 
Pip=6596 



1.  4ply  8/2  eq: 0.051 (+0.003) 
 Player: Opponent:  41.43% (G:2.35% B:0.03%) 58.57% (G:0.91% B:0.01%)  

2.  4ply  8/6 5/1  eq: 0.054 
 Player: Opponent:  41.98% (G:2.86% B:0.04%) 58.02% (G:2.24% B:0.04%)  

3.  4ply  8/4 5/3  eq: 0.055 (0.001) 
 Player: Opponent:  41.28% (G:2.32% B:0.03%) 58.72% (G:0.96% B:0.01%)  

4.  4ply  8/6 7/3  eq: 0.062 (0.008) 
 Player: Opponent:  40.68% (G:2.22% B:0.03%) 59.32% (G:0.67% B:0.01%)  

5.  4ply  7/1  eq: 0.075 (0.021) 
 Player: Opponent:  40.88% (G:2.72% B:0.04%) 59.12% (G:2.19% B:0.04%)  



54: 13/4 

XGID=BDBBCbBabcbbc:1:1:1:54:4:4:0:11:3 
Pip=6590 



1.  3ply  13/4  eq: 0.090 
 Player: Opponent:  50.97% (G:0.99% B:0.01%) 49.03% (G:1.36% B:0.02%)  

2.  3ply  13/9 13/8  eq: 0.220 (0.130) 
 Player: Opponent:  47.61% (G:1.07% B:0.02%) 52.39% (G:9.47% B:0.27%)  

3.  2ply  13/8 5/1  eq: 0.535 (0.445) 
 Player: Opponent:  34.58% (G:1.04% B:0.00%) 65.42% (G:13.47% B:0.37%)  



21: 7/6 5/3 

XGID=BDBCCbAabcbbc:1:1:1:21:4:4:0:11:3 
Pip=5690 



1.  4ply  7/4  eq: 0.658 
 Player: Opponent:  15.25% (G:0.38% B:0.01%) 84.75% (G:0.53% B:0.00%)  

2.  4ply  7/6 5/3  eq: 0.662 (0.004) 
 Player: Opponent:  15.00% (G:0.37% B:0.01%) 85.00% (G:0.55% B:0.00%)  

3.  4ply  5/2  eq: 0.677 (0.019) 
 Player: Opponent:  14.31% (G:0.34% B:0.01%) 85.69% (G:0.86% B:0.00%)  

4.  4ply  7/5 2/1  eq: 0.682 (0.024) 
 Player: Opponent:  14.66% (G:0.48% B:0.01%) 85.34% (G:1.04% B:0.01%)  

5.  4ply  5/3 2/1  eq: 0.690 (0.032) 
 Player: Opponent:  14.81% (G:0.46% B:0.01%) 85.19% (G:1.46% B:0.02%)  



21: 13/10 

XGID=BDBCCbAcbbcc:1:1:1:21:4:4:0:11:3 
Pip=5687 



1.  4ply  13/10  eq: +0.173 
 Player: Opponent:  63.25% (G:1.06% B:0.01%) 36.75% (G:0.95% B:0.03%)  

2.  4ply  13/11 2/1  eq: +0.091 (0.082) 
 Player: Opponent:  59.76% (G:0.88% B:0.00%) 40.24% (G:1.04% B:0.03%)  

3.  4ply  13/11 5/4  eq: +0.089 (0.084) 
 Player: Opponent:  59.46% (G:0.76% B:0.00%) 40.54% (G:1.13% B:0.03%)  

4.  4ply  13/11 4/3  eq: +0.087 (0.085) 
 Player: Opponent:  59.44% (G:0.77% B:0.00%) 40.56% (G:1.09% B:0.03%)  

5.  4ply  13/11 3/2  eq: +0.067 (0.106) 
 Player: Opponent:  57.93% (G:0.71% B:0.00%) 42.07% (G:1.47% B:0.05%)  



43: 18/15* 15/11 

XGID=BDBCCbAcbbcc:1:1:1:43:4:4:0:11:3 
Pip=5387 



1.  4ply  18/15* 15/11  eq: +0.965 
 Player: Opponent:  87.00% (G:2.22% B:0.05%) 13.00% (G:0.80% B:0.01%)  

2.  4ply  18/14 18/15*  eq: +0.951 (0.015) 
 Player: Opponent:  86.00% (G:2.15% B:0.05%) 14.00% (G:0.72% B:0.01%)  

3.  4ply  18/15* 6/2  eq: +0.914 (0.052) 
 Player: Opponent:  81.20% (G:1.79% B:0.04%) 18.80% (G:0.93% B:0.01%)  

4.  1ply  18/15* 5/1  eq: 0.289 (1.254) 
 Player: Opponent:  41.08% (G:1.02% B:0.05%) 58.92% (G:27.17% B:0.68%)  

5.  1ply  18/11  eq: 0.872 (1.837) 
 Player: Opponent:  6.12% (G:0.05% B:0.00%) 93.88% (G:1.46% B:0.01%)  



61: Bar/18 

XGID=BDBCCaacbbccA:1:1:1:61:4:4:0:11:3 
Pip=6880 



1.  3ply  Bar/18  eq: 0.378 
 Player: Opponent:  38.86% (G:0.66% B:0.01%) 61.14% (G:1.19% B:0.02%)  



No double 

XGID=BDBCCaaAcbbcc:1:1:1:00:4:4:0:11:3 
Pip=6180 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
61.89% (G:1.28% B:0.03%) 
61.89% (G:1.28% B:0.03%) 
Opponent Winning Chances: 
38.11% (G:0.68% B:0.01%) 
38.11% (G:0.69% B:0.01%) 
Cubeless Equities 
+0.244 
+0.504 
Cubeful Equities 
No redouble:  +0.365  
Redouble/Take:  +0.188 (0.177)  
Redouble/Pass:  +1.000 (+0.635) 

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


22: 18/16 11/7* 7/5 

XGID=BDBCCaaAcbbcc:1:1:1:22:4:4:0:11:3 
Pip=6180 



1.  4ply  18/16 11/7* 7/5  eq: +0.952 
 Player: Opponent:  89.01% (G:2.19% B:0.04%) 10.99% (G:0.18% B:0.00%)  

2.  4ply  11/7* 7/5 6/4  eq: +0.948 (0.004) 
 Player: Opponent:  88.45% (G:2.08% B:0.04%) 11.55% (G:0.21% B:0.00%)  

3.  4ply  11/7* 7/3  eq: +0.946 (0.006) 
 Player: Opponent:  85.34% (G:1.83% B:0.04%) 14.66% (G:0.28% B:0.00%)  

4.  4ply  11/7* 6/2  eq: +0.908 (0.044) 
 Player: Opponent:  83.28% (G:1.60% B:0.03%) 16.72% (G:1.03% B:0.01%)  

5.  4ply  18/14 11/7*  eq: +0.907 (0.045) 
 Player: Opponent:  86.84% (G:2.16% B:0.04%) 13.16% (G:0.96% B:0.01%)  



32: Cannot Move 

XGID=BDBCCaccbccA:1:1:1:32:4:4:0:11:3 
Pip=6872 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  6.70% (G:0.01% B:0.00%) 93.30% (G:2.35% B:0.04%)  



Double/Pass 

XGID=BDBCCaccbccA:1:1:1:00:4:4:0:11:3 
Pip=6872 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
93.30% (G:2.35% B:0.04%) 
93.30% (G:2.35% B:0.04%) 
Opponent Winning Chances: 
6.70% (G:0.01% B:0.00%) 
6.70% (G:0.01% B:0.00%) 
Cubeless Equities 
+0.891 
+1.840 
Cubeful Equities 
No redouble:  +0.976 (0.024)  
Redouble/Take:  +1.781 (+0.781)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


Wins 2pts. 



