32: 24/21 13/11 

XGID=bECeEceB:0:0:1:32:4:8:0:11:3 
Pip=167167 



1.  Book^{1}  24/21 13/11  eq: 0.203 
 Player: Opponent:  50.17% (G:13.62% B:0.63%) 49.83% (G:13.20% B:0.55%)  

2.  Book^{1}  24/22 13/10  eq: 0.214 (0.011) 
 Player: Opponent:  50.01% (G:13.60% B:0.67%) 49.99% (G:13.61% B:0.54%)  

3.  Book^{1}  13/11 13/10  eq: 0.226 (0.024) 
 Player: Opponent:  49.72% (G:14.89% B:0.72%) 50.28% (G:14.02% B:0.73%)  

4.  Book^{1}  24/22 24/21  eq: 0.240 (0.037) 
 Player: Opponent:  49.35% (G:12.30% B:0.60%) 50.65% (G:13.79% B:0.47%)  

5.  4ply  13/11 8/5  eq: 0.265 (0.062) 
 Player: Opponent:  48.81% (G:13.84% B:0.62%) 51.19% (G:14.47% B:0.89%)  


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



No double 

XGID=aaECdEaceB:0:0:1:00:4:8:0:11:3 
Pip=167162 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
49.85% (G:13.02% B:0.54%) 
49.85% (G:13.06% B:0.54%) 
Opponent Winning Chances: 
50.15% (G:13.14% B:0.60%) 
50.15% (G:13.15% B:0.62%) 
Cubeless Equities 
0.010 
+0.110 
Cubeful Equities 
No double:  +0.193  
Double/Take:  +0.077 (0.116)  
Double/Pass:  +1.000 (+0.807) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.2% 


51: 24/23 13/8 

XGID=aaECdEaceB:0:0:1:51:4:8:0:11:3 
Pip=167162 



1.  4ply  24/23 13/8  eq: +0.024 
 Player: Opponent:  45.91% (G:10.57% B:0.36%) 54.09% (G:13.94% B:0.57%)  

2.  4ply  24/18  eq: 0.012 (0.036) 
 Player: Opponent:  45.51% (G:9.81% B:0.39%) 54.49% (G:15.90% B:0.57%)  

3.  4ply  13/8 6/5  eq: 0.023 (0.047) 
 Player: Opponent:  44.69% (G:10.50% B:0.38%) 55.31% (G:15.48% B:0.89%)  

4.  4ply  24/23 6/1*  eq: 0.032 (0.056) 
 Player: Opponent:  44.38% (G:10.25% B:0.29%) 55.62% (G:14.62% B:0.67%)  

5.  4ply  13/7  eq: 0.054 (0.078) 
 Player: Opponent:  43.44% (G:10.87% B:0.42%) 56.56% (G:15.62% B:0.93%)  



43: 24/21 13/9 

XGID=aaEDdDaceAA:0:0:1:43:4:8:0:11:3 
Pip=161162 



1.  4ply  24/21 13/9  eq: 0.102 
 Player: Opponent:  51.04% (G:12.62% B:0.44%) 48.96% (G:9.53% B:0.29%)  

2.  4ply  24/21 6/2*  eq: 0.146 (0.044) 
 Player: Opponent:  50.34% (G:11.64% B:0.36%) 49.66% (G:10.56% B:0.32%)  

3.  3ply  24/21 11/7  eq: 0.237 (0.135) 
 Player: Opponent:  47.50% (G:10.89% B:0.37%) 52.50% (G:10.65% B:0.29%)  

4.  3ply  24/21 8/4  eq: 0.240 (0.138) 
 Player: Opponent:  47.87% (G:11.55% B:0.42%) 52.13% (G:11.65% B:0.37%)  

5.  3ply  24/20 11/8  eq: 0.248 (0.145) 
 Player: Opponent:  48.80% (G:11.37% B:0.49%) 51.20% (G:13.30% B:0.43%)  



No double 

XGID=bEDcDaaceAA:0:0:1:00:4:8:0:11:3 
Pip=161155 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
48.96% (G:9.53% B:0.29%) 
48.87% (G:9.61% B:0.29%) 
Opponent Winning Chances: 
51.04% (G:12.62% B:0.44%) 
51.13% (G:12.71% B:0.47%) 
Cubeless Equities 
0.057 
0.010 
Cubeful Equities 
No double:  +0.102  
Double/Take:  0.046 (0.148)  
Double/Pass:  +1.000 (+0.898) 

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


64: 24/14* 

XGID=bEDcDaaceAA:0:0:1:64:4:8:0:11:3 
Pip=161155 



1.  3ply  24/14*  eq: +0.237 
 Player: Opponent:  52.65% (G:10.84% B:0.33%) 47.35% (G:11.86% B:0.40%)  

2.  2ply  8/2 6/2  eq: 0.152 (0.389) 
 Player: Opponent:  41.78% (G:8.22% B:0.24%) 58.22% (G:15.98% B:0.63%)  

3.  2ply  13/3  eq: 0.187 (0.424) 
 Player: Opponent:  40.89% (G:7.87% B:0.22%) 59.11% (G:16.31% B:0.69%)  

4.  2ply  24/20 13/7  eq: 0.188 (0.425) 
 Player: Opponent:  40.94% (G:8.00% B:0.21%) 59.06% (G:16.91% B:0.71%)  

5.  2ply  24/18 6/2  eq: 0.201 (0.439) 
 Player: Opponent:  40.88% (G:7.76% B:0.22%) 59.12% (G:18.18% B:0.70%)  



42: Bar/21 13/11* 

XGID=abEDcDAaceA:0:0:1:42:4:8:0:11:3 
Pip=151169 



1.  3ply  Bar/21 13/11*  eq: 0.091 
 Player: Opponent:  51.57% (G:13.18% B:0.47%) 48.43% (G:9.97% B:0.31%)  

2.  3ply  Bar/23 13/9  eq: 0.283 (0.191) 
 Player: Opponent:  45.98% (G:11.78% B:0.37%) 54.02% (G:10.77% B:0.30%)  

3.  2ply  Bar/23 6/2*  eq: 0.375 (0.283) 
 Player: Opponent:  44.59% (G:11.29% B:0.38%) 55.41% (G:13.99% B:0.48%)  

4.  2ply  Bar/21 6/4  eq: 0.375 (0.284) 
 Player: Opponent:  43.92% (G:10.08% B:0.30%) 56.08% (G:12.57% B:0.35%)  

5.  2ply  Bar/23 9/5  eq: 0.376 (0.285) 
 Player: Opponent:  44.02% (G:11.07% B:0.37%) 55.98% (G:13.08% B:0.39%)  



No double 

XGID=cEDbDaaceAA:0:0:1:00:4:8:0:11:3 
Pip=162163 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
48.84% (G:10.01% B:0.30%) 
48.83% (G:10.05% B:0.31%) 
Opponent Winning Chances: 
51.16% (G:13.08% B:0.40%) 
51.17% (G:13.13% B:0.43%) 
Cubeless Equities 
0.058 
0.007 
Cubeful Equities 
No double:  +0.104  
Double/Take:  0.039 (0.144)  
Double/Pass:  +1.000 (+0.896) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.2% 


51: Bar/24 23/18 

XGID=cEDbDaaceAA:0:0:1:51:4:8:0:11:3 
Pip=162163 



1.  4ply  Bar/24 23/18  eq: +0.016 
 Player: Opponent:  46.51% (G:9.58% B:0.31%) 53.49% (G:15.19% B:0.54%)  

2.  4ply  Bar/20 6/5  eq: 0.028 (0.044) 
 Player: Opponent:  45.16% (G:9.67% B:0.32%) 54.84% (G:16.41% B:0.73%)  

3.  4ply  Bar/24 13/8  eq: 0.062 (0.078) 
 Player: Opponent:  44.40% (G:8.86% B:0.26%) 55.60% (G:15.51% B:0.56%)  

4.  4ply  Bar/20 23/22  eq: 0.065 (0.081) 
 Player: Opponent:  44.29% (G:9.17% B:0.29%) 55.71% (G:16.35% B:0.56%)  

5.  4ply  Bar/24 8/3  eq: 0.070 (0.086) 
 Player: Opponent:  44.06% (G:9.29% B:0.30%) 55.94% (G:16.48% B:0.69%)  



63: 11/5 8/5 

XGID=cEDbDaacAeA:0:0:1:63:4:8:0:11:3 
Pip=156163 



1.  4ply  11/5 8/5  eq: 0.121 
 Player: Opponent:  49.80% (G:12.62% B:0.31%) 50.20% (G:8.51% B:0.24%)  

2.  4ply  9/3 6/3  eq: 0.173 (0.052) 
 Player: Opponent:  48.61% (G:12.30% B:0.33%) 51.39% (G:9.38% B:0.27%)  

3.  4ply  13/10 13/7*  eq: 0.233 (0.112) 
 Player: Opponent:  48.80% (G:14.15% B:0.50%) 51.20% (G:13.10% B:0.45%)  

4.  3ply  21/15 11/8  eq: 0.290 (0.169) 
 Player: Opponent:  46.14% (G:10.25% B:0.33%) 53.86% (G:10.59% B:0.32%)  

5.  3ply  11/8 9/3  eq: 0.298 (0.177) 
 Player: Opponent:  45.51% (G:10.47% B:0.30%) 54.49% (G:10.33% B:0.30%)  



No double 

XGID=cEDbDabAebA:0:0:1:00:4:8:0:11:3 
Pip=156154 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.20% (G:8.51% B:0.24%) 
50.29% (G:8.69% B:0.24%) 
Opponent Winning Chances: 
49.80% (G:12.62% B:0.31%) 
49.71% (G:12.83% B:0.32%) 
Cubeless Equities 
0.040 
+0.022 
Cubeful Equities 
No double:  +0.121  
Double/Take:  0.006 (0.127)  
Double/Pass:  +1.000 (+0.879) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.2% 


61: 24/18 6/5 

XGID=cEDbDabAebA:0:0:1:61:4:8:0:11:3 
Pip=156154 



1.  4ply  24/18 6/5  eq: +0.095 
 Player: Opponent:  49.60% (G:7.31% B:0.18%) 50.40% (G:10.95% B:0.30%)  

2.  4ply  24/18 8/7  eq: +0.063 (0.032) 
 Player: Opponent:  48.77% (G:7.07% B:0.18%) 51.23% (G:11.31% B:0.32%)  

3.  3ply  13/7 8/7  eq: 0.031 (0.126) 
 Player: Opponent:  45.75% (G:8.97% B:0.29%) 54.25% (G:17.23% B:0.49%)  

4.  2ply  13/6  eq: 0.257 (0.352) 
 Player: Opponent:  39.55% (G:7.94% B:0.25%) 60.45% (G:21.30% B:0.77%)  

5.  2ply  24/23 8/2  eq: 0.324 (0.419) 
 Player: Opponent:  37.91% (G:8.15% B:0.30%) 62.09% (G:24.85% B:0.99%)  



31: 21/20* 9/6 

XGID=cADDbDabBeb:0:0:1:31:4:8:0:11:3 
Pip=149154 



1.  4ply  21/20* 9/6  eq: +0.061 
 Player: Opponent:  55.06% (G:15.51% B:0.33%) 44.94% (G:7.93% B:0.22%)  

2.  4ply  21/18 21/20*  eq: 0.037 (0.098) 
 Player: Opponent:  53.09% (G:15.15% B:0.46%) 46.91% (G:9.88% B:0.45%)  

3.  4ply  21/20* 6/3  eq: 0.060 (0.121) 
 Player: Opponent:  52.03% (G:15.40% B:0.37%) 47.97% (G:9.58% B:0.30%)  

4.  3ply  21/20* 8/5  eq: 0.108 (0.169) 
 Player: Opponent:  50.52% (G:15.36% B:0.44%) 49.48% (G:9.74% B:0.26%)  

5.  3ply  21/20* 13/10  eq: 0.123 (0.184) 
 Player: Opponent:  50.09% (G:14.95% B:0.53%) 49.91% (G:9.80% B:0.32%)  



No double 

XGID=baDDbDbBfbA:0:0:1:00:4:8:0:11:3 
Pip=169150 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
44.94% (G:7.93% B:0.22%) 
45.11% (G:8.07% B:0.23%) 
Opponent Winning Chances: 
55.06% (G:15.51% B:0.33%) 
54.89% (G:15.99% B:0.36%) 
Cubeless Equities 
0.181 
0.242 
Cubeful Equities 
No double:  0.061  
Double/Take:  0.256 (0.194)  
Double/Pass:  +1.000 (+1.061) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.4% 


53: Bar/22 13/8 

XGID=baDDbDbBfbA:0:0:1:53:4:8:0:11:3 
Pip=169150 



1.  4ply  Bar/22 13/8  eq: 0.097 
 Player: Opponent:  43.95% (G:7.69% B:0.19%) 56.05% (G:15.83% B:0.38%)  

2.  4ply  Bar/22 8/3  eq: 0.120 (0.024) 
 Player: Opponent:  43.26% (G:7.97% B:0.22%) 56.74% (G:17.19% B:0.44%)  

3.  3ply  Bar/22 6/1  eq: 0.225 (0.128) 
 Player: Opponent:  40.44% (G:7.37% B:0.19%) 59.56% (G:18.71% B:0.43%)  

4.  3ply  Bar/22 18/13  eq: 0.296 (0.199) 
 Player: Opponent:  39.61% (G:6.98% B:0.22%) 60.39% (G:24.16% B:0.56%)  



21: 6/3* 

XGID=baDEbCbBfbA:0:0:1:21:4:8:0:11:3 
Pip=161150 



1.  4ply  6/3*  eq: 0.024 
 Player: Opponent:  52.76% (G:14.99% B:0.32%) 47.24% (G:8.65% B:0.25%)  

2.  4ply  20/18 6/5  eq: 0.024 (0.000) 
 Player: Opponent:  52.84% (G:13.15% B:0.30%) 47.16% (G:8.12% B:0.24%)  

3.  4ply  21/20 6/4  eq: 0.029 (0.005) 
 Player: Opponent:  52.30% (G:13.30% B:0.29%) 47.70% (G:7.66% B:0.22%)  

4.  4ply  6/5 6/4  eq: 0.044 (0.020) 
 Player: Opponent:  52.21% (G:13.78% B:0.34%) 47.79% (G:8.35% B:0.24%)  

5.  3ply  6/4 5/4  eq: 0.164 (0.140) 
 Player: Opponent:  49.09% (G:13.21% B:0.36%) 50.91% (G:9.69% B:0.26%)  



No double 

XGID=baDEbCbBebaA:0:0:1:00:4:8:0:11:3 
Pip=164147 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
47.24% (G:8.65% B:0.25%) 
47.26% (G:8.69% B:0.26%) 
Opponent Winning Chances: 
52.76% (G:14.99% B:0.32%) 
52.74% (G:15.11% B:0.33%) 
Cubeless Equities 
0.122 
0.129 
Cubeful Equities 
No double:  +0.024  
Double/Take:  0.145 (0.169)  
Double/Pass:  +1.000 (+0.976) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.8% 


53: Bar/22* 13/8 

XGID=baDEbCbBebaA:0:0:1:53:4:8:0:11:3 
Pip=164147 



1.  4ply  Bar/22* 13/8  eq: +0.149 
 Player: Opponent:  50.29% (G:10.32% B:0.24%) 49.71% (G:13.77% B:0.41%)  

2.  4ply  Bar/22* 8/3  eq: +0.091 (0.058) 
 Player: Opponent:  48.84% (G:9.93% B:0.26%) 51.16% (G:15.05% B:0.49%)  

3.  4ply  Bar/22* 18/13  eq: +0.090 (0.059) 
 Player: Opponent:  48.81% (G:10.28% B:0.28%) 51.19% (G:16.26% B:0.51%)  

4.  4ply  Bar/22* 6/1  eq: +0.026 (0.123) 
 Player: Opponent:  46.93% (G:10.10% B:0.22%) 53.07% (G:16.72% B:0.52%)  



43: Bar/21 6/3* 

XGID=abaDFbBbBebA:0:0:1:43:4:8:0:11:3 
Pip=156169 



1.  4ply  Bar/21 6/3*  eq: 0.188 
 Player: Opponent:  48.91% (G:13.09% B:0.35%) 51.09% (G:10.80% B:0.30%)  

2.  4ply  Bar/22 20/16  eq: 0.210 (0.022) 
 Player: Opponent:  47.99% (G:12.28% B:0.36%) 52.01% (G:10.25% B:0.30%)  

3.  4ply  Bar/18  eq: 0.271 (0.083) 
 Player: Opponent:  46.27% (G:10.97% B:0.31%) 53.73% (G:10.22% B:0.30%)  

4.  4ply  Bar/22 6/2  eq: 0.294 (0.106) 
 Player: Opponent:  46.13% (G:12.45% B:0.32%) 53.87% (G:11.63% B:0.38%)  

5.  3ply  Bar/21 8/5  eq: 0.413 (0.226) 
 Player: Opponent:  43.72% (G:11.16% B:0.32%) 56.28% (G:13.61% B:0.32%)  



No double 

XGID=caDFbBbBdbaA:0:0:1:00:4:8:0:11:3 
Pip=159162 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.09% (G:10.80% B:0.30%) 
51.12% (G:10.87% B:0.30%) 
Opponent Winning Chances: 
48.91% (G:13.09% B:0.35%) 
48.88% (G:13.14% B:0.35%) 
Cubeless Equities 
0.005 
+0.102 
Cubeful Equities 
No double:  +0.188  
Double/Take:  +0.077 (0.111)  
Double/Pass:  +1.000 (+0.812) 

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


43: Bar/22* 22/18 

XGID=caDFbBbBdbaA:0:0:1:43:4:8:0:11:3 
Pip=159162 



1.  3ply  Bar/22* 22/18  eq: +0.336 
 Player: Opponent:  55.10% (G:12.07% B:0.30%) 44.90% (G:10.77% B:0.31%)  

2.  3ply  Bar/18  eq: +0.172 (0.164) 
 Player: Opponent:  51.79% (G:7.97% B:0.18%) 48.21% (G:10.35% B:0.24%)  

3.  3ply  Bar/22* 6/2  eq: +0.169 (0.167) 
 Player: Opponent:  50.23% (G:11.60% B:0.32%) 49.77% (G:13.63% B:0.46%)  

4.  3ply  Bar/22* 18/14  eq: +0.125 (0.211) 
 Player: Opponent:  48.40% (G:12.74% B:0.39%) 51.60% (G:15.17% B:0.52%)  

5.  3ply  Bar/21 8/5*  eq: +0.095 (0.241) 
 Player: Opponent:  48.53% (G:11.09% B:0.36%) 51.47% (G:16.10% B:0.49%)  



42: Bar/23 20/16 

XGID=acaDFbBbCdb:0:0:1:42:4:8:0:11:3 
Pip=152184 



1.  4ply  Bar/23 20/16  eq: 0.406 
 Player: Opponent:  44.14% (G:10.85% B:0.35%) 55.86% (G:14.11% B:0.43%)  

2.  4ply  Bar/21 6/4  eq: 0.425 (0.019) 
 Player: Opponent:  43.31% (G:10.12% B:0.30%) 56.69% (G:13.46% B:0.35%)  

3.  4ply  Bar/21 20/18  eq: 0.464 (0.058) 
 Player: Opponent:  41.82% (G:9.16% B:0.25%) 58.18% (G:12.93% B:0.31%)  

4.  4ply  Bar/23 6/2  eq: 0.481 (0.075) 
 Player: Opponent:  42.75% (G:10.70% B:0.30%) 57.25% (G:15.58% B:0.53%)  

5.  4ply  Bar/23 8/4  eq: 0.494 (0.088) 
 Player: Opponent:  43.54% (G:11.56% B:0.35%) 56.46% (G:17.72% B:0.66%)  



No double 

XGID=acDFabBbCdb:0:0:1:00:4:8:0:11:3 
Pip=152178 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
55.86% (G:14.11% B:0.43%) 
55.88% (G:14.02% B:0.42%) 
Opponent Winning Chances: 
44.14% (G:10.85% B:0.35%) 
44.12% (G:10.82% B:0.35%) 
Cubeless Equities 
+0.146 
+0.399 
Cubeful Equities 
No double:  +0.406  
Double/Take:  +0.362 (0.044)  
Double/Pass:  +1.000 (+0.594) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.5% 


53: 8/3 6/3 

XGID=acDFabBbCdb:0:0:1:53:4:8:0:11:3 
Pip=152178 



1.  4ply  8/3 6/3  eq: +0.403 
 Player: Opponent:  55.68% (G:14.28% B:0.40%) 44.32% (G:10.60% B:0.35%)  

2.  4ply  18/13 8/5  eq: +0.318 (0.085) 
 Player: Opponent:  53.91% (G:12.53% B:0.33%) 46.09% (G:11.54% B:0.39%)  

3.  4ply  18/13 6/3  eq: +0.290 (0.113) 
 Player: Opponent:  53.24% (G:12.78% B:0.35%) 46.76% (G:12.13% B:0.40%)  

4.  3ply  8/5 8/3  eq: +0.224 (0.179) 
 Player: Opponent:  51.71% (G:12.24% B:0.43%) 48.29% (G:13.38% B:0.52%)  

5.  3ply  18/10  eq: +0.211 (0.192) 
 Player: Opponent:  51.60% (G:11.44% B:0.32%) 48.40% (G:12.70% B:0.43%)  



64: 21/11 

XGID=aBcCEabBbCdb:0:0:1:64:4:8:0:11:3 
Pip=144178 



1.  XG Roller+  16/6  eq: 0.463 
 Player: Opponent:  42.28% (G:10.02% B:0.34%) 57.72% (G:13.18% B:0.37%)  

2.  XG Roller+  21/11  eq: 0.505 (0.042) 
 Player: Opponent:  42.91% (G:10.06% B:0.37%) 57.09% (G:16.48% B:0.60%)  

3.  3ply  16/10 6/2  eq: 0.602 (0.139) 
 Player: Opponent:  40.78% (G:9.59% B:0.32%) 59.22% (G:17.88% B:0.63%)  

4.  3ply  21/15 6/2  eq: 0.602 (0.139) 
 Player: Opponent:  42.27% (G:10.40% B:0.39%) 57.73% (G:20.52% B:0.95%)  

5.  2ply  8/2 6/2  eq: 0.723 (0.260) 
 Player: Opponent:  39.41% (G:10.29% B:0.25%) 60.59% (G:20.54% B:0.83%)  



No double 

XGID=aBbCEabBabCdb:0:0:1:00:4:8:0:11:3 
Pip=144168 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.45% (G:16.83% B:0.64%) 
57.55% (G:16.77% B:0.63%) 
Opponent Winning Chances: 
42.55% (G:10.10% B:0.35%) 
42.45% (G:10.08% B:0.35%) 
Cubeless Equities 
+0.214 
+0.546 
Cubeful Equities 
No double:  +0.522  
Double/Take:  +0.504 (0.018)  
Double/Pass:  +1.000 (+0.478) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 3.6% 


41: 18/14* 14/13 

XGID=aBbCEabBabCdb:0:0:1:41:4:8:0:11:3 
Pip=144168 



1.  4ply  18/14* 14/13  eq: +0.541 
 Player: Opponent:  57.18% (G:18.14% B:0.65%) 42.82% (G:10.00% B:0.34%)  

2.  4ply  18/14* 8/7  eq: +0.503 (0.037) 
 Player: Opponent:  55.89% (G:18.69% B:0.85%) 44.11% (G:11.52% B:0.44%)  

3.  3ply  13/9* 9/8  eq: +0.400 (0.140) 
 Player: Opponent:  55.17% (G:15.42% B:0.55%) 44.83% (G:11.30% B:0.39%)  

4.  3ply  13/9* 8/7  eq: +0.390 (0.151) 
 Player: Opponent:  53.86% (G:16.58% B:0.81%) 46.14% (G:13.20% B:0.60%)  

5.  3ply  18/14* 6/5  eq: +0.354 (0.187) 
 Player: Opponent:  53.31% (G:15.61% B:0.65%) 46.69% (G:13.16% B:0.52%)  



53: Bar/20 23/20 

XGID=aaBbCEabCbBdb:0:0:1:53:4:8:0:11:3 
Pip=139182 



1.  3ply  Bar/20 23/20  eq: 0.354 
 Player: Opponent:  45.36% (G:10.38% B:0.35%) 54.64% (G:13.52% B:0.26%)  

2.  3ply  Bar/20 16/13  eq: 0.509 (0.155) 
 Player: Opponent:  42.43% (G:9.58% B:0.30%) 57.57% (G:16.14% B:0.42%)  

3.  2ply  Bar/20 6/3  eq: 0.696 (0.342) 
 Player: Opponent:  41.22% (G:9.91% B:0.36%) 58.78% (G:22.41% B:1.09%)  

4.  2ply  Bar/20 8/5  eq: 0.839 (0.485) 
 Player: Opponent:  39.04% (G:9.29% B:0.33%) 60.96% (G:24.26% B:1.24%)  

5.  1ply  Bar/20 21/18  eq: 0.963 (0.610) 
 Player: Opponent:  38.53% (G:8.53% B:0.28%) 61.47% (G:27.20% B:2.22%)  



No double 

XGID=BbbCEabCbBdb:0:0:1:00:4:8:0:11:3 
Pip=139174 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
54.37% (G:13.54% B:0.31%) 
54.39% (G:13.50% B:0.31%) 
Opponent Winning Chances: 
45.63% (G:11.09% B:0.38%) 
45.61% (G:11.09% B:0.38%) 
Cubeless Equities 
+0.106 
+0.320 
Cubeful Equities 
No double:  +0.358  
Double/Take:  +0.277 (0.080)  
Double/Pass:  +1.000 (+0.642) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.0% 


51: 8/2 

XGID=BbbCEabCbBdb:0:0:1:51:4:8:0:11:3 
Pip=139174 



1.  4ply  8/2  eq: +0.331 
 Player: Opponent:  53.98% (G:13.56% B:0.25%) 46.02% (G:11.03% B:0.38%)  

2.  4ply  13/7  eq: +0.300 (0.031) 
 Player: Opponent:  53.65% (G:12.27% B:0.31%) 46.35% (G:10.86% B:0.38%)  

3.  4ply  13/8 3/2  eq: +0.264 (0.067) 
 Player: Opponent:  52.50% (G:12.72% B:0.22%) 47.50% (G:12.04% B:0.44%)  

4.  4ply  8/7 8/3  eq: +0.262 (0.069) 
 Player: Opponent:  52.32% (G:12.63% B:0.34%) 47.68% (G:11.69% B:0.41%)  

5.  3ply  8/7 6/1  eq: +0.200 (0.131) 
 Player: Opponent:  50.89% (G:11.83% B:0.29%) 49.11% (G:12.96% B:0.48%)  



11: 6/4(2) 

XGID=ABbbCDabCbBdb:0:0:1:11:4:8:0:11:3 
Pip=133174 



1.  4ply  6/4(2)  eq: 0.255 
 Player: Opponent:  48.62% (G:12.62% B:0.44%) 51.38% (G:13.29% B:0.25%)  

2.  4ply  16/14 6/4  eq: 0.294 (0.039) 
 Player: Opponent:  47.71% (G:12.15% B:0.42%) 52.29% (G:13.73% B:0.30%)  

3.  4ply  16/15 6/4 5/4  eq: 0.313 (0.057) 
 Player: Opponent:  47.55% (G:12.02% B:0.43%) 52.45% (G:14.45% B:0.32%)  

4.  4ply  16/15 6/5 6/4  eq: 0.319 (0.064) 
 Player: Opponent:  47.44% (G:12.05% B:0.43%) 52.56% (G:14.65% B:0.33%)  

5.  4ply  16/13 6/5  eq: 0.335 (0.080) 
 Player: Opponent:  46.06% (G:11.33% B:0.41%) 53.94% (G:13.12% B:0.27%)  



Double/Take 

XGID=ABbbCDabCbBbbb:0:0:1:00:4:8:0:11:3 
Pip=133170 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
51.12% (G:13.42% B:0.25%) 
51.23% (G:13.11% B:0.23%) 
Opponent Winning Chances: 
48.88% (G:12.26% B:0.48%) 
48.77% (G:12.14% B:0.49%) 
Cubeless Equities 
+0.026 
+0.168 
Cubeful Equities 
No double:  +0.249  
Double/Take:  +0.127 (0.122)  
Double/Pass:  +1.000 (+0.751) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.3% 


61: 13/7 8/7 

XGID=ABbbCDabCbBbbb:1:1:1:61:4:8:0:11:3 
Pip=133170 



1.  4ply  13/7 8/7  eq: +0.155 
 Player: Opponent:  54.76% (G:13.37% B:0.25%) 45.24% (G:10.36% B:0.39%)  

2.  4ply  13/6  eq: +0.085 (0.070) 
 Player: Opponent:  51.76% (G:13.29% B:0.22%) 48.24% (G:12.07% B:0.48%)  

3.  4ply  8/1  eq: +0.064 (0.091) 
 Player: Opponent:  50.65% (G:13.83% B:0.20%) 49.35% (G:13.30% B:0.56%)  

4.  4ply  8/7 8/2  eq: +0.029 (0.126) 
 Player: Opponent:  49.36% (G:13.04% B:0.33%) 50.64% (G:13.50% B:0.54%)  

5.  3ply  8/2 3/2  eq: +0.011 (0.144) 
 Player: Opponent:  48.85% (G:12.91% B:0.24%) 51.15% (G:14.95% B:0.56%)  



52: 16/9 

XGID=ABbbCBCabBbBbbb:1:1:1:52:4:8:0:11:3 
Pip=126170 



1.  4ply  16/9  eq: 0.138 
 Player: Opponent:  45.94% (G:11.06% B:0.40%) 54.06% (G:13.41% B:0.27%)  

2.  4ply  8/6 8/3  eq: 0.141 (0.003) 
 Player: Opponent:  46.23% (G:11.76% B:0.40%) 53.77% (G:14.35% B:0.33%)  

3.  4ply  16/14 8/3  eq: 0.153 (0.016) 
 Player: Opponent:  46.33% (G:11.43% B:0.39%) 53.67% (G:15.58% B:0.40%)  

4.  4ply  16/11 8/6  eq: 0.168 (0.030) 
 Player: Opponent:  45.51% (G:11.16% B:0.40%) 54.49% (G:15.33% B:0.33%)  

5.  4ply  8/3 5/3  eq: 0.182 (0.045) 
 Player: Opponent:  45.60% (G:11.28% B:0.40%) 54.40% (G:16.80% B:0.40%)  



32: 8/3 

XGID=ABbbCBCbBabBbbb:1:1:1:32:4:8:0:11:3 
Pip=126163 



1.  4ply  8/3  eq: +0.116 
 Player: Opponent:  52.91% (G:13.65% B:0.28%) 47.09% (G:11.87% B:0.44%)  

2.  4ply  6/1  eq: +0.084 (0.031) 
 Player: Opponent:  51.64% (G:13.59% B:0.24%) 48.36% (G:13.18% B:0.55%)  

3.  4ply  13/8  eq: +0.076 (0.039) 
 Player: Opponent:  52.14% (G:11.47% B:0.27%) 47.86% (G:11.61% B:0.49%)  

4.  4ply  18/16* 16/13  eq: +0.067 (0.048) 
 Player: Opponent:  50.59% (G:14.01% B:0.31%) 49.41% (G:11.97% B:0.45%)  

5.  3ply  18/15 18/16*  eq: 0.047 (0.162) 
 Player: Opponent:  45.91% (G:13.60% B:0.38%) 54.09% (G:15.93% B:0.72%)  



32: 9/4 

XGID=ACbbCBBbBabBbbb:1:1:1:32:4:8:0:11:3 
Pip=121163 



1.  4ply  8/3  eq: 0.110 (+0.005) 
 Player: Opponent:  48.16% (G:12.50% B:0.43%) 51.84% (G:15.53% B:0.37%)  

2.  4ply  9/4  eq: 0.114 
 Player: Opponent:  46.82% (G:11.95% B:0.46%) 53.18% (G:13.16% B:0.24%)  

3.  4ply  8/6 8/5  eq: 0.130 (0.015) 
 Player: Opponent:  46.39% (G:11.99% B:0.41%) 53.61% (G:13.73% B:0.30%)  

4.  4ply  9/6 8/6  eq: 0.137 (0.023) 
 Player: Opponent:  45.82% (G:11.72% B:0.39%) 54.18% (G:13.23% B:0.27%)  

5.  4ply  9/6 5/3  eq: 0.174 (0.059) 
 Player: Opponent:  44.78% (G:11.01% B:0.39%) 55.22% (G:14.24% B:0.34%)  



44: 18/14(2) 13/9(2) 

XGID=ACbbCBBbBbBbbc:1:1:1:44:4:8:0:11:3 
Pip=121158 



1.  4ply  18/10(2)  eq: +0.335 
 Player: Opponent:  63.74% (G:11.49% B:0.13%) 36.26% (G:5.40% B:0.22%)  

2.  4ply  18/14(2) 13/9(2)  eq: +0.316 (0.020) 
 Player: Opponent:  62.52% (G:12.16% B:0.16%) 37.48% (G:6.00% B:0.25%)  

3.  2ply  18/14 18/6  eq: +0.065 (0.270) 
 Player: Opponent:  51.69% (G:11.59% B:0.22%) 48.31% (G:11.02% B:0.36%)  

4.  2ply  18/2  eq: +0.031 (0.304) 
 Player: Opponent:  49.43% (G:12.84% B:0.25%) 50.57% (G:11.32% B:0.32%)  

5.  2ply  18/14(2) 7/3(2)  eq: 0.007 (0.342) 
 Player: Opponent:  48.38% (G:12.19% B:0.22%) 51.62% (G:14.50% B:0.57%)  



42: 8/2 

XGID=ACbbCBBBbBbbbc:1:1:1:42:4:8:0:11:3 
Pip=105158 



1.  4ply  13/7  eq: 0.329 
 Player: Opponent:  37.69% (G:6.52% B:0.23%) 62.31% (G:14.00% B:0.20%)  

2.  4ply  8/2  eq: 0.337 (0.008) 
 Player: Opponent:  37.20% (G:6.42% B:0.21%) 62.80% (G:13.63% B:0.23%)  

3.  4ply  13/9 8/6  eq: 0.337 (0.008) 
 Player: Opponent:  37.38% (G:6.62% B:0.23%) 62.62% (G:14.10% B:0.22%)  

4.  4ply  8/6 8/4  eq: 0.347 (0.018) 
 Player: Opponent:  36.35% (G:5.97% B:0.21%) 63.65% (G:12.87% B:0.18%)  

5.  4ply  13/9 4/2  eq: 0.348 (0.019) 
 Player: Opponent:  37.16% (G:6.41% B:0.21%) 62.84% (G:14.54% B:0.25%)  



22: 9/7(2) 3/1(2) 

XGID=ACbbCBBBbBabbca:1:1:1:22:4:8:0:11:3 
Pip=105152 



1.  4ply  9/7(2) 8/6(2)  eq: +0.346 (+0.000) 
 Player: Opponent:  62.77% (G:14.58% B:0.12%) 37.23% (G:6.01% B:0.25%)  

2.  4ply  9/7(2) 3/1(2)  eq: +0.346 
 Player: Opponent:  63.02% (G:14.14% B:0.11%) 36.98% (G:6.20% B:0.25%)  

3.  4ply  8/6(2) 3/1(2)  eq: +0.277 (0.069) 
 Player: Opponent:  59.85% (G:14.34% B:0.12%) 40.15% (G:7.64% B:0.30%)  

4.  2ply  9/7(2) 8/6 3/1  eq: +0.071 (0.275) 
 Player: Opponent:  50.90% (G:14.06% B:0.27%) 49.10% (G:13.17% B:0.39%)  

5.  2ply  9/7 3/1(3)  eq: +0.017 (0.329) 
 Player: Opponent:  49.17% (G:12.87% B:0.18%) 50.83% (G:13.97% B:0.43%)  



44: 20/16(2) 13/9(2) 

XGID=BAAbbCDBbBabbca:1:1:1:44:4:8:0:11:3 
Pip=97152 



1.  4ply  20/16(2) 13/9(2)  eq: 0.346 
 Player: Opponent:  34.24% (G:4.92% B:0.13%) 65.76% (G:8.19% B:0.07%)  

2.  4ply  20/16(2) 13/5  eq: 0.355 (0.009) 
 Player: Opponent:  35.25% (G:6.01% B:0.19%) 64.75% (G:11.08% B:0.14%)  

3.  4ply  20/16 20/8  eq: 0.384 (0.038) 
 Player: Opponent:  32.80% (G:4.58% B:0.13%) 67.20% (G:8.75% B:0.07%)  

4.  4ply  20/12(2)  eq: 0.394 (0.048) 
 Player: Opponent:  31.36% (G:3.92% B:0.10%) 68.64% (G:6.71% B:0.06%)  

5.  4ply  20/16(2) 13/9 8/4  eq: 0.404 (0.058) 
 Player: Opponent:  33.60% (G:5.40% B:0.17%) 66.40% (G:12.07% B:0.18%)  



63: 14/11 14/8 

XGID=BAAbCDBbBbabbca:1:1:1:63:4:8:0:11:3 
Pip=97136 



1.  4ply  14/11 14/8  eq: +0.320 
 Player: Opponent:  65.22% (G:7.05% B:0.12%) 34.78% (G:5.24% B:0.13%)  

2.  4ply  8/2 6/3  eq: +0.206 (0.114) 
 Player: Opponent:  57.30% (G:12.46% B:0.24%) 42.70% (G:8.16% B:0.21%)  

3.  4ply  7/1 6/3  eq: +0.189 (0.131) 
 Player: Opponent:  59.17% (G:7.33% B:0.09%) 40.83% (G:7.02% B:0.16%)  

4.  3ply  8/5 8/2  eq: +0.189 (0.131) 
 Player: Opponent:  57.44% (G:10.98% B:0.15%) 42.56% (G:8.82% B:0.22%)  

5.  3ply  14/8 6/3  eq: +0.188 (0.132) 
 Player: Opponent:  57.99% (G:9.36% B:0.18%) 42.01% (G:6.75% B:0.16%)  



61: 21/14* 

XGID=BAAbCDCbAbabbca:1:1:1:61:4:8:0:11:3 
Pip=88136 



1.  3ply  21/14*  eq: 0.032 
 Player: Opponent:  53.97% (G:9.64% B:0.28%) 46.03% (G:18.89% B:0.51%)  

2.  1ply  9/3 4/3  eq: 0.606 (0.574) 
 Player: Opponent:  20.48% (G:0.95% B:0.04%) 79.52% (G:4.19% B:0.02%)  

3.  1ply  16/15 8/2  eq: 0.613 (0.580) 
 Player: Opponent:  21.46% (G:1.28% B:0.09%) 78.54% (G:6.69% B:0.03%)  

4.  1ply  8/2 4/3  eq: 0.615 (0.583) 
 Player: Opponent:  20.26% (G:0.90% B:0.05%) 79.74% (G:4.57% B:0.02%)  

5.  1ply  9/3 8/7  eq: 0.630 (0.597) 
 Player: Opponent:  19.51% (G:1.01% B:0.03%) 80.49% (G:4.39% B:0.03%)  



54: Cannot Move 

XGID=BAAaCDCbababbcaA:1:1:1:54:4:8:0:11:3 
Pip=102129 



1.  4ply  Cannot Move  eq: 0.419 
 Player: Opponent:  30.94% (G:8.49% B:0.20%) 69.06% (G:12.03% B:0.25%)  



51: 8/3 4/3 

XGID=BAAaCDCbababbcaA:1:1:1:51:4:8:0:11:3 
Pip=102129 



1.  XG Roller+  8/2  eq: +0.393 
 Player: Opponent:  67.95% (G:10.84% B:0.21%) 32.05% (G:7.78% B:0.14%)  

2.  XG Roller+  8/3 4/3  eq: +0.201 (0.192) 
 Player: Opponent:  62.84% (G:12.40% B:0.34%) 37.16% (G:15.25% B:0.33%)  

3.  3ply  14/8  eq: +0.216 (0.177) 
 Player: Opponent:  61.54% (G:10.84% B:0.31%) 38.46% (G:12.05% B:0.17%)  

4.  3ply  21/16 9/8  eq: +0.184 (0.209) 
 Player: Opponent:  60.30% (G:9.35% B:0.29%) 39.70% (G:12.18% B:0.16%)  

5.  2ply  21/16 14/13  eq: +0.179 (0.214) 
 Player: Opponent:  60.53% (G:11.12% B:0.30%) 39.47% (G:13.34% B:0.26%)  



53: Cannot Move 

XGID=BAAaCDCbabbbbbaA:1:1:1:53:4:8:0:11:3 
Pip=102123 



1.  4ply  Cannot Move  eq: 0.532 
 Player: Opponent:  25.85% (G:8.82% B:0.26%) 74.15% (G:15.25% B:0.28%)  



32: 14/12 9/6 

XGID=BAAaCDCbabbbbbaA:1:1:1:32:4:8:0:11:3 
Pip=102123 



1.  XG Roller+  9/7 9/6  eq: +0.366 
 Player: Opponent:  68.86% (G:17.89% B:0.38%) 31.14% (G:13.27% B:0.44%)  

2.  XG Roller+  14/11 9/7  eq: +0.349 (0.017) 
 Player: Opponent:  69.01% (G:16.32% B:0.40%) 30.99% (G:14.03% B:0.63%)  

3.  XG Roller+  14/12 9/6  eq: +0.304 (0.062) 
 Player: Opponent:  66.30% (G:15.14% B:0.31%) 33.70% (G:13.11% B:0.38%)  

4.  4ply  16/13 9/7  eq: +0.381 (+0.015) 
 Player: Opponent:  70.71% (G:15.93% B:0.38%) 29.29% (G:13.88% B:1.63%)  

5.  4ply  16/14 9/6  eq: +0.335 (0.031) 
 Player: Opponent:  66.92% (G:14.74% B:0.26%) 33.08% (G:12.28% B:0.42%)  



21: Bar/23* 3/2 

XGID=BAAaCDCbaacbbbaA:1:1:1:21:4:8:0:11:3 
Pip=102118 



1.  3ply  Bar/23* 3/2  eq: +0.306 
 Player: Opponent:  56.04% (G:23.13% B:0.69%) 43.96% (G:7.40% B:0.19%)  

2.  1ply  Bar/23* 2/1  eq: 0.285 (0.591) 
 Player: Opponent:  36.39% (G:11.37% B:0.33%) 63.61% (G:18.99% B:0.56%)  

3.  1ply  Bar/23* 7/6  eq: 0.312 (0.618) 
 Player: Opponent:  35.10% (G:12.06% B:0.43%) 64.90% (G:22.04% B:1.06%)  

4.  1ply  Bar/23* 8/7  eq: 0.380 (0.686) 
 Player: Opponent:  32.91% (G:10.61% B:0.38%) 67.09% (G:24.15% B:1.20%)  

5.  1ply  Bar/24 8/6  eq: 0.494 (0.800) 
 Player: Opponent:  28.00% (G:7.70% B:0.27%) 72.00% (G:12.26% B:0.14%)  



54: Bar/21 9/4 

XGID=aBBaCDCbaacbbbA:1:1:1:54:4:8:0:11:3 
Pip=99141 



1.  4ply  Bar/21 9/4  eq: +0.017 
 Player: Opponent:  51.15% (G:7.87% B:0.15%) 48.85% (G:9.02% B:0.12%)  

2.  4ply  Bar/21 16/11  eq: 0.026 (0.043) 
 Player: Opponent:  50.67% (G:7.29% B:0.16%) 49.33% (G:11.82% B:0.15%)  

3.  4ply  Bar/20 6/2*  eq: 0.074 (0.091) 
 Player: Opponent:  54.46% (G:10.68% B:0.22%) 45.54% (G:22.42% B:1.32%)  

4.  4ply  Bar/21 12/7  eq: 0.086 (0.103) 
 Player: Opponent:  48.53% (G:7.07% B:0.14%) 51.47% (G:13.03% B:0.15%)  

5.  3ply  Bar/21 6/1  eq: 0.192 (0.208) 
 Player: Opponent:  43.16% (G:6.29% B:0.17%) 56.84% (G:11.89% B:0.15%)  



53: 8/3 6/3 

XGID=BBbCDCbacbcbA:1:1:1:53:4:8:0:11:3 
Pip=99132 



1.  XG Roller+  23/18 6/3  eq: 0.152 
 Player: Opponent:  44.16% (G:6.70% B:0.11%) 55.84% (G:12.08% B:0.23%)  

2.  XG Roller+  8/3 6/3  eq: 0.209 (0.057) 
 Player: Opponent:  40.41% (G:8.61% B:0.16%) 59.59% (G:10.78% B:0.24%)  

3.  4ply  23/15  eq: 0.185 (0.033) 
 Player: Opponent:  43.18% (G:5.28% B:0.08%) 56.82% (G:9.53% B:0.16%)  

4.  3ply  23/18 8/5  eq: 0.312 (0.159) 
 Player: Opponent:  37.30% (G:7.25% B:0.15%) 62.70% (G:19.94% B:0.59%)  

5.  3ply  7/2 6/3  eq: 0.312 (0.160) 
 Player: Opponent:  35.67% (G:9.32% B:0.14%) 64.33% (G:13.47% B:0.27%)  



21: 12/11 4/2* 

XGID=BBBbBDBbacbcbA:1:1:1:21:4:8:0:11:3 
Pip=91132 



1.  XG Roller+  16/15 16/14  eq: +0.168 
 Player: Opponent:  58.55% (G:9.36% B:0.26%) 41.45% (G:9.76% B:0.12%)  

2.  XG Roller+  12/11 4/2*  eq: +0.159 (0.009) 
 Player: Opponent:  60.02% (G:12.60% B:0.35%) 39.98% (G:14.25% B:0.15%)  

3.  4ply  16/13  eq: +0.140 (0.028) 
 Player: Opponent:  57.58% (G:8.72% B:0.17%) 42.42% (G:10.67% B:0.11%)  

4.  4ply  16/14 6/5  eq: +0.133 (0.035) 
 Player: Opponent:  57.43% (G:8.77% B:0.18%) 42.57% (G:10.95% B:0.13%)  

5.  4ply  16/14 4/3  eq: +0.132 (0.036) 
 Player: Opponent:  57.41% (G:8.82% B:0.17%) 42.59% (G:11.02% B:0.13%)  



54: Cannot Move 

XGID=BBBbBDBbacbbbaA:1:1:1:54:4:8:0:11:3 
Pip=93129 



1.  4ply  Cannot Move  eq: 0.483 
 Player: Opponent:  28.43% (G:7.93% B:0.13%) 71.57% (G:13.48% B:0.24%)  



33: 16/13 11/2 

XGID=BBBbBDBbacbbbaA:1:1:1:33:4:8:0:11:3 
Pip=93129 



1.  4ply  16/13 11/2  eq: +0.733 
 Player: Opponent:  80.21% (G:17.62% B:0.18%) 19.79% (G:3.11% B:0.04%)  

2.  4ply  11/2 6/3  eq: +0.646 (0.086) 
 Player: Opponent:  76.80% (G:15.55% B:0.18%) 23.20% (G:3.69% B:0.07%)  

3.  2ply  16/13(2) 11/5  eq: +0.297 (0.436) 
 Player: Opponent:  63.26% (G:13.97% B:0.28%) 36.74% (G:8.67% B:0.10%)  

4.  2ply  16/13 16/10 11/8  eq: +0.220 (0.512) 
 Player: Opponent:  63.66% (G:13.10% B:0.25%) 36.34% (G:15.93% B:0.34%)  

5.  1ply  16/13 16/7  eq: +0.248 (0.485) 
 Player: Opponent:  64.47% (G:11.90% B:0.20%) 35.53% (G:15.37% B:0.42%)  



61: Bar/18 

XGID=BBBbBDBaacbbbbA:1:1:1:61:4:8:0:11:3 
Pip=93117 



1.  3ply  Bar/18  eq: 0.357 
 Player: Opponent:  36.54% (G:3.06% B:0.03%) 63.46% (G:11.72% B:0.12%)  

2.  3ply  Bar/24 7/1  eq: 0.534 (0.177) 
 Player: Opponent:  27.43% (G:5.22% B:0.06%) 72.57% (G:12.94% B:0.21%)  

3.  2ply  Bar/24 8/2  eq: 0.795 (0.438) 
 Player: Opponent:  17.77% (G:4.10% B:0.05%) 82.23% (G:29.31% B:0.81%)  



32: 16/13 6/4 

XGID=BBBbBDBaaAcbbbb:1:1:1:32:4:8:0:11:3 
Pip=86117 



1.  3ply  16/13 6/4  eq: 0.074 
 Player: Opponent:  43.86% (G:5.02% B:0.06%) 56.14% (G:2.48% B:0.03%)  

2.  3ply  16/13 4/2  eq: 0.270 (0.196) 
 Player: Opponent:  36.38% (G:3.60% B:0.06%) 63.62% (G:5.26% B:0.10%)  

3.  3ply  16/13 5/3  eq: 0.280 (0.207) 
 Player: Opponent:  35.86% (G:3.45% B:0.06%) 64.14% (G:5.15% B:0.10%)  

4.  3ply  16/13 3/1  eq: 0.285 (0.211) 
 Player: Opponent:  36.11% (G:4.03% B:0.06%) 63.89% (G:6.20% B:0.14%)  

5.  3ply  16/14 6/3  eq: 0.289 (0.216) 
 Player: Opponent:  37.80% (G:4.47% B:0.08%) 62.20% (G:9.87% B:0.09%)  



11: 7/5(2) 

XGID=BBBbBDBbAbbcbb:1:1:1:11:4:8:0:11:3 
Pip=86112 



1.  4ply  18/15 7/6  eq: 0.091 (+0.010) 
 Player: Opponent:  48.19% (G:3.26% B:0.05%) 51.81% (G:6.30% B:0.10%)  

2.  4ply  18/14  eq: 0.098 (+0.003) 
 Player: Opponent:  48.12% (G:3.09% B:0.04%) 51.88% (G:8.13% B:0.11%)  

3.  4ply  7/5(2)  eq: 0.099 (+0.003) 
 Player: Opponent:  46.76% (G:5.20% B:0.14%) 53.24% (G:7.13% B:0.12%)  

4.  4ply  18/16 7/6(2)  eq: 0.101 
 Player: Opponent:  47.34% (G:3.81% B:0.05%) 52.66% (G:6.12% B:0.10%)  

5.  4ply  18/16 6/5(2)  eq: 0.146 (0.044) 
 Player: Opponent:  45.92% (G:3.17% B:0.04%) 54.08% (G:8.73% B:0.12%)  



64: 13/9 13/7* 

XGID=BBBbBBBBbAbbcbb:1:1:1:64:4:8:0:11:3 
Pip=82112 



1.  4ply  13/9 13/7*  eq: +0.634 
 Player: Opponent:  77.44% (G:13.32% B:0.25%) 22.56% (G:5.55% B:0.15%)  

2.  4ply  13/7* 7/3  eq: +0.589 (0.045) 
 Player: Opponent:  74.92% (G:12.84% B:0.25%) 25.08% (G:4.66% B:0.12%)  

3.  1ply  13/7* 6/2  eq: 0.369 (1.003) 
 Player: Opponent:  39.97% (G:4.27% B:0.09%) 60.03% (G:20.28% B:0.77%)  

4.  1ply  13/3  eq: 0.579 (1.213) 
 Player: Opponent:  23.94% (G:1.77% B:0.04%) 76.06% (G:8.38% B:0.11%)  

5.  1ply  21/11  eq: 0.662 (1.296) 
 Player: Opponent:  27.77% (G:3.62% B:0.08%) 72.23% (G:23.50% B:0.21%)  



52: Cannot Move 

XGID=BBBbBBBBaabbcbbA:1:1:1:52:4:8:0:11:3 
Pip=89102 



1.  4ply  Cannot Move  eq: 0.704 
 Player: Opponent:  19.50% (G:3.96% B:0.12%) 80.50% (G:12.00% B:0.22%)  



62: 21/15 9/7 

XGID=BBBbBBBBaabbcbbA:1:1:1:62:4:8:0:11:3 
Pip=89102 



1.  3ply  21/15 9/7  eq: +1.013 
 Player: Opponent:  93.96% (G:13.95% B:0.26%) 6.04% (G:0.45% B:0.03%)  

2.  2ply  21/13  eq: +0.664 (0.350) 
 Player: Opponent:  78.98% (G:13.52% B:0.36%) 21.02% (G:9.23% B:0.53%)  

3.  2ply  21/15 7/5  eq: +0.663 (0.350) 
 Player: Opponent:  78.60% (G:12.63% B:0.32%) 21.40% (G:4.82% B:0.21%)  

4.  2ply  21/15 4/2  eq: +0.573 (0.440) 
 Player: Opponent:  77.01% (G:12.90% B:0.31%) 22.99% (G:9.64% B:0.54%)  

5.  1ply  9/3 7/5  eq: +0.521 (0.492) 
 Player: Opponent:  71.67% (G:9.74% B:0.12%) 28.33% (G:3.84% B:0.03%)  



61: Bar/24 7/1 

XGID=BBBaBBBBabbbcbbA:1:1:1:61:4:8:0:11:3 
Pip=8994 



1.  4ply  Bar/24 7/1  eq: 1.042 
 Player: Opponent:  5.96% (G:0.18% B:0.00%) 94.04% (G:18.59% B:0.42%)  

2.  4ply  Bar/24 8/2  eq: 1.074 (0.033) 
 Player: Opponent:  5.07% (G:0.17% B:0.01%) 94.93% (G:22.46% B:0.50%)  



No double 

XGID=CBBaBBABabbbcbbA:1:1:1:00:4:8:0:11:3 
Pip=8294 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.04% (G:18.59% B:0.42%) 
94.05% (G:15.94% B:0.57%) 
Opponent Winning Chances: 
5.96% (G:0.18% B:0.00%) 
5.95% (G:0.17% B:0.00%) 
Cubeless Equities 
+1.012 
+1.479 
Cubeful Equities 
No redouble:  +1.042  
Redouble/Take:  +1.256 (+0.215)  
Redouble/Pass:  +1.000 (0.042) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 16.3% 


41: 15/10 

XGID=CBBaBBABabbbcbbA:1:1:1:41:4:8:0:11:3 
Pip=8294 



1.  4ply  15/11 4/3  eq: +1.025 
 Player: Opponent:  94.86% (G:12.64% B:0.37%) 5.14% (G:0.16% B:0.01%)  

2.  4ply  15/10  eq: +1.025 (0.000) 
 Player: Opponent:  94.77% (G:13.78% B:0.57%) 5.23% (G:0.18% B:0.01%)  

3.  1ply  7/6 7/3  eq: +0.214 (0.811) 
 Player: Opponent:  59.21% (G:9.67% B:0.28%) 40.79% (G:7.30% B:0.09%)  

4.  1ply  15/11 2/1*  eq: +0.184 (0.842) 
 Player: Opponent:  64.00% (G:19.35% B:0.56%) 36.00% (G:21.98% B:0.65%)  

5.  1ply  15/11 3/2  eq: 0.053 (1.078) 
 Player: Opponent:  52.82% (G:7.66% B:0.33%) 47.18% (G:18.70% B:0.29%)  



32: 7/2 

XGID=CBBaBBABabbbcbbA:1:1:1:32:4:8:0:11:3 
Pip=8289 



1.  4ply  7/2  eq: 1.000 
 Player: Opponent:  5.57% (G:0.11% B:0.00%) 94.43% (G:9.90% B:0.35%)  

2.  4ply  7/4* 4/2  eq: 1.000 
 Player: Opponent:  5.81% (G:0.12% B:0.00%) 94.19% (G:20.90% B:1.27%)  

3.  4ply  8/6 8/5  eq: 1.041 (0.041) 
 Player: Opponent:  4.97% (G:0.09% B:0.00%) 95.03% (G:13.91% B:0.33%)  

4.  4ply  7/4* 6/4  eq: 1.045 (0.045) 
 Player: Opponent:  5.47% (G:0.14% B:0.00%) 94.53% (G:17.00% B:0.43%)  

5.  4ply  8/6 7/4*  eq: 1.058 (0.058) 
 Player: Opponent:  5.47% (G:0.20% B:0.01%) 94.53% (G:21.04% B:1.06%)  



No double 

XGID=CCBaBBBabbbcbbA:1:1:1:00:4:8:0:11:3 
Pip=7789 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.49% (G:8.40% B:0.17%) 
94.96% (G:12.08% B:0.56%) 
Opponent Winning Chances: 
5.51% (G:0.11% B:0.00%) 
5.04% (G:0.07% B:0.00%) 
Cubeless Equities 
+0.949 
+1.518 
Cubeful Equities 
No redouble:  +1.001  
Redouble/Take:  +1.326 (+0.325)  
Redouble/Pass:  +1.000 (0.001) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 0.4% 


62: 10/2 

XGID=CCBaBBBabbbcbbA:1:1:1:62:4:8:0:11:3 
Pip=7789 



1.  4ply  10/2  eq: +1.007 
 Player: Opponent:  93.70% (G:8.06% B:0.22%) 6.30% (G:0.22% B:0.00%)  

2.  4ply  21/15 10/8  eq: +1.003 (0.004) 
 Player: Opponent:  94.57% (G:5.40% B:0.15%) 5.43% (G:0.09% B:0.00%)  

3.  4ply  21/13  eq: +1.002 (0.005) 
 Player: Opponent:  94.86% (G:5.60% B:0.17%) 5.14% (G:0.08% B:0.00%)  

4.  4ply  21/15 4/2  eq: +1.002 (0.005) 
 Player: Opponent:  94.02% (G:5.20% B:0.16%) 5.98% (G:0.10% B:0.00%)  

5.  2ply  7/5 7/1*  eq: +0.617 (0.389) 
 Player: Opponent:  77.01% (G:7.68% B:0.13%) 22.99% (G:6.33% B:0.15%)  



42: 8/4* 4/2 

XGID=CCBaBBBbbbcbcA:1:1:1:42:4:8:0:11:3 
Pip=7781 



1.  XG Roller+  5/3 5/1  eq: 1.000 
 Player: Opponent:  6.06% (G:0.35% B:0.00%) 93.94% (G:7.91% B:0.21%)  

2.  XG Roller+  8/4* 4/2  eq: 1.036 (0.036) 
 Player: Opponent:  5.56% (G:0.07% B:0.00%) 94.44% (G:11.70% B:0.30%)  

3.  4ply  8/6 8/4*  eq: 1.041 (0.041) 
 Player: Opponent:  5.70% (G:0.09% B:0.00%) 94.30% (G:16.74% B:0.48%)  

4.  4ply  8/4* 6/4  eq: 1.053 (0.053) 
 Player: Opponent:  6.35% (G:0.16% B:0.00%) 93.65% (G:18.11% B:0.80%)  

5.  4ply  8/2  eq: 1.056 (0.056) 
 Player: Opponent:  5.35% (G:0.16% B:0.00%) 94.65% (G:18.40% B:0.50%)  



No double 

XGID=aCDBBBAbbbcbcA:1:1:1:00:4:8:0:11:3 
Pip=7185 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.37% (G:11.37% B:0.29%) 
94.36% (G:16.79% B:0.59%) 
Opponent Winning Chances: 
5.63% (G:0.07% B:0.00%) 
5.64% (G:0.06% B:0.00%) 
Cubeless Equities 
+0.968 
+1.496 
Cubeful Equities 
No redouble:  +1.023  
Redouble/Take:  +1.281 (+0.257)  
Redouble/Pass:  +1.000 (0.023) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 8.3% 


61: Cannot Move 

XGID=aCDBBBAbbbcbcA:1:1:1:61:4:8:0:11:3 
Pip=7185 



1.  4ply  Cannot Move  eq: +1.022 
 Player: Opponent:  93.61% (G:11.10% B:0.32%) 6.39% (G:0.10% B:0.00%)  



21: 8/5 

XGID=aCDBBBAbbbcbcA:1:1:1:21:4:8:0:11:3 
Pip=7185 



1.  4ply  8/5  eq: 1.009 
 Player: Opponent:  5.81% (G:0.07% B:0.00%) 94.19% (G:7.78% B:0.19%)  

2.  4ply  8/6 2/1  eq: 1.013 (0.003) 
 Player: Opponent:  5.58% (G:0.07% B:0.00%) 94.42% (G:8.90% B:0.22%)  

3.  4ply  8/6 3/2  eq: 1.069 (0.060) 
 Player: Opponent:  5.14% (G:0.13% B:0.00%) 94.86% (G:19.70% B:0.55%)  

4.  4ply  3/2 3/1  eq: 1.071 (0.062) 
 Player: Opponent:  4.85% (G:0.07% B:0.00%) 95.15% (G:19.30% B:0.53%)  

5.  4ply  6/5 6/4  eq: 1.101 (0.092) 
 Player: Opponent:  5.06% (G:0.14% B:0.00%) 94.94% (G:24.34% B:1.18%)  



No double 

XGID=aCDBCBbbbcbcA:1:1:1:00:4:8:0:11:3 
Pip=6885 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.19% (G:7.78% B:0.19%) 
94.31% (G:13.67% B:0.39%) 
Opponent Winning Chances: 
5.81% (G:0.07% B:0.00%) 
5.69% (G:0.06% B:0.00%) 
Cubeless Equities 
+0.939 
+1.494 
Cubeful Equities 
No redouble:  +1.009  
Redouble/Take:  +1.277 (+0.268)  
Redouble/Pass:  +1.000 (0.009) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 3.3% 


32: Cannot Move 

XGID=aCDBCBbbbcbcA:1:1:1:32:4:8:0:11:3 
Pip=6885 



1.  4ply  Cannot Move  eq: +1.017 
 Player: Opponent:  93.73% (G:9.11% B:0.24%) 6.27% (G:0.10% B:0.00%)  



55: 6/1(2) 

XGID=aCDBCBbbbcbcA:1:1:1:55:4:8:0:11:3 
Pip=6885 



1.  3ply  6/1(2)  eq: 1.004 
 Player: Opponent:  5.88% (G:0.06% B:0.00%) 94.12% (G:6.66% B:0.14%)  



No double 

XGID=aEDBCbbbcbcA:1:1:1:00:4:8:0:11:3 
Pip=5885 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
94.66% (G:6.84% B:0.13%) 
94.75% (G:7.62% B:0.16%) 
Opponent Winning Chances: 
5.34% (G:0.03% B:0.00%) 
5.25% (G:0.03% B:0.00%) 
Cubeless Equities 
+0.942 
+1.512 
Cubeful Equities 
No redouble:  +1.009  
Redouble/Take:  +1.311 (+0.302)  
Redouble/Pass:  +1.000 (0.009) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 2.8% 


61: Bar/19 2/1* 

XGID=aEDBCbbbcbcA:1:1:1:61:4:8:0:11:3 
Pip=5885 



1.  4ply  Bar/19 2/1*  eq: +1.008 
 Player: Opponent:  96.13% (G:5.72% B:0.13%) 3.87% (G:0.06% B:0.00%)  

2.  4ply  Bar/18  eq: +1.000 (0.008) 
 Player: Opponent:  94.05% (G:4.50% B:0.09%) 5.95% (G:0.05% B:0.00%)  

3.  4ply  Bar/19 4/3  eq: +1.000 (0.008) 
 Player: Opponent:  93.90% (G:4.33% B:0.09%) 6.10% (G:0.04% B:0.00%)  

4.  1ply  Bar/19 7/6  eq: +0.491 (0.518) 
 Player: Opponent:  70.03% (G:4.30% B:0.07%) 29.97% (G:2.09% B:0.00%)  

5.  1ply  Bar/19 3/2  eq: +0.396 (0.612) 
 Player: Opponent:  65.84% (G:2.48% B:0.07%) 34.16% (G:2.12% B:0.00%)  



52: Cannot Move 

XGID=EDBCabbbcbbaA:1:1:1:52:4:8:0:11:3 
Pip=5978 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  3.83% (G:0.04% B:0.00%) 96.17% (G:3.54% B:0.06%)  



No double 

XGID=EDBCabbbcbbaA:1:1:1:00:4:8:0:11:3 
Pip=5978 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
95.49% (G:5.13% B:0.13%) 
96.03% (G:3.59% B:0.06%) 
Opponent Winning Chances: 
4.51% (G:0.05% B:0.00%) 
3.97% (G:0.03% B:0.00%) 
Cubeless Equities 
+0.946 
+1.561 
Cubeful Equities 
No redouble:  +1.002  
Redouble/Take:  +1.409 (+0.407)  
Redouble/Pass:  +1.000 (0.002) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 0.5% 


22: 19/11 

XGID=EDBCabbbcbbaA:1:1:1:22:4:8:0:11:3 
Pip=5978 



1.  4ply  19/11  eq: +1.007 
 Player: Opponent:  95.75% (G:5.27% B:0.11%) 4.25% (G:0.02% B:0.00%)  

2.  4ply  19/13 4/2  eq: +1.004 (0.002) 
 Player: Opponent:  95.39% (G:5.08% B:0.11%) 4.61% (G:0.02% B:0.00%)  

3.  4ply  7/1 4/2  eq: +1.000 (0.006) 
 Player: Opponent:  96.30% (G:2.81% B:0.04%) 3.70% (G:0.00% B:0.00%)  

4.  4ply  7/5 7/1  eq: +1.000 (0.007) 
 Player: Opponent:  96.73% (G:3.24% B:0.05%) 3.27% (G:0.00% B:0.00%)  

5.  4ply  19/17 7/1  eq: +1.000 (0.007) 
 Player: Opponent:  96.37% (G:3.15% B:0.04%) 3.63% (G:0.00% B:0.00%)  



51: Bar/24* 

XGID=EDBCabbbcbbaA:1:1:1:51:4:8:0:11:3 
Pip=5970 



1.  3ply  Bar/24*  eq: 1.018 
 Player: Opponent:  4.42% (G:0.07% B:0.00%) 95.58% (G:8.95% B:0.21%)  



No double 

XGID=aEDBCabbbcbbA:1:1:1:00:4:8:0:11:3 
Pip=5894 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
95.65% (G:9.05% B:0.19%) 
95.86% (G:11.07% B:0.28%) 
Opponent Winning Chances: 
4.35% (G:0.03% B:0.00%) 
4.14% (G:0.03% B:0.00%) 
Cubeless Equities 
+0.977 
+1.554 
Cubeful Equities 
No redouble:  +1.020  
Redouble/Take:  +1.396 (+0.376)  
Redouble/Pass:  +1.000 (0.020) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 5.1% 


53: Cannot Move 

XGID=aEDBCabbbcbbA:1:1:1:53:4:8:0:11:3 
Pip=5894 



1.  4ply  Cannot Move  eq: +1.033 
 Player: Opponent:  95.71% (G:11.21% B:0.32%) 4.29% (G:0.05% B:0.00%)  



62: 5/3 

XGID=aEDBCabbbcbbA:1:1:1:62:4:8:0:11:3 
Pip=5894 



1.  4ply  5/3  eq: 1.023 
 Player: Opponent:  4.28% (G:0.04% B:0.00%) 95.72% (G:9.11% B:0.23%)  

2.  4ply  3/1  eq: 1.100 (0.077) 
 Player: Opponent:  3.65% (G:0.06% B:0.00%) 96.35% (G:21.74% B:0.59%)  



No double 

XGID=aEDCBabbbcbbA:1:1:1:00:4:8:0:11:3 
Pip=5694 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
95.72% (G:9.11% B:0.23%) 
95.81% (G:10.59% B:0.30%) 
Opponent Winning Chances: 
4.28% (G:0.04% B:0.00%) 
4.19% (G:0.04% B:0.00%) 
Cubeless Equities 
+0.979 
+1.552 
Cubeful Equities 
No redouble:  +1.023  
Redouble/Take:  +1.392 (+0.369)  
Redouble/Pass:  +1.000 (0.023) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 6.0% 


65: Bar/19 11/6 

XGID=aEDCBabbbcbbA:1:1:1:65:4:8:0:11:3 
Pip=5694 



1.  4ply  Bar/19 11/6  eq: +1.006 
 Player: Opponent:  95.79% (G:5.13% B:0.10%) 4.21% (G:0.04% B:0.00%)  

2.  4ply  Bar/14  eq: +1.003 (0.003) 
 Player: Opponent:  95.31% (G:4.74% B:0.09%) 4.69% (G:0.05% B:0.00%)  

3.  1ply  Bar/19 7/2  eq: +0.466 (0.540) 
 Player: Opponent:  69.57% (G:5.41% B:0.12%) 30.43% (G:3.93% B:0.01%)  

4.  1ply  Bar/19 6/1*  eq: +0.078 (0.928) 
 Player: Opponent:  56.51% (G:3.36% B:0.10%) 43.49% (G:13.52% B:0.03%)  



54: 5/1 

XGID=EDCBabcbcbbA:1:1:1:54:4:8:0:11:3 
Pip=5683 



1.  3ply  5/1  eq: 1.010 
 Player: Opponent:  4.29% (G:0.03% B:0.00%) 95.71% (G:6.27% B:0.14%)  



No double 

XGID=FDCAabcbcbbA:1:1:1:00:4:8:0:11:3 
Pip=5283 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
96.01% (G:5.04% B:0.15%) 
96.11% (G:5.00% B:0.15%) 
Opponent Winning Chances: 
3.99% (G:0.01% B:0.00%) 
3.89% (G:0.01% B:0.00%) 
Cubeless Equities 
+0.956 
+1.565 
Cubeful Equities 
No redouble:  +1.007  
Redouble/Take:  +1.415 (+0.408)  
Redouble/Pass:  +1.000 (0.007) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 1.8% 


42: 19/13 

XGID=FDCAabcbcbbA:1:1:1:42:4:8:0:11:3 
Pip=5283 



1.  4ply  19/13  eq: +1.001 
 Player: Opponent:  95.19% (G:4.01% B:0.07%) 4.81% (G:0.06% B:0.00%)  

2.  4ply  19/15 4/2  eq: +1.000 (0.000) 
 Player: Opponent:  94.42% (G:3.73% B:0.06%) 5.58% (G:0.06% B:0.00%)  

3.  4ply  19/17 6/2  eq: +1.000 (0.001) 
 Player: Opponent:  93.98% (G:3.50% B:0.06%) 6.02% (G:0.04% B:0.00%)  

4.  4ply  19/15 6/4  eq: +1.000 (0.001) 
 Player: Opponent:  92.88% (G:3.43% B:0.05%) 7.12% (G:0.05% B:0.00%)  

5.  4ply  6/2 4/2  eq: +0.997 (0.003) 
 Player: Opponent:  90.76% (G:2.88% B:0.04%) 9.24% (G:0.05% B:0.00%)  



61: 2/1 

XGID=FDCAabcbcbbA:1:1:1:61:4:8:0:11:3 
Pip=5277 



1.  4ply  2/1  eq: 1.001 
 Player: Opponent:  4.36% (G:0.04% B:0.00%) 95.64% (G:4.45% B:0.13%)  

2.  4ply  5/4  eq: 1.002 (0.001) 
 Player: Opponent:  4.51% (G:0.04% B:0.00%) 95.49% (G:4.58% B:0.16%)  

3.  4ply  3/2  eq: 1.004 (0.003) 
 Player: Opponent:  4.44% (G:0.04% B:0.00%) 95.56% (G:5.36% B:0.14%)  



No double 

XGID=GCCAabcbcbbA:1:1:1:00:4:8:0:11:3 
Pip=5177 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
95.64% (G:4.45% B:0.13%) 
95.64% (G:4.74% B:0.14%) 
Opponent Winning Chances: 
4.36% (G:0.04% B:0.00%) 
4.36% (G:0.04% B:0.00%) 
Cubeless Equities 
+0.944 
+1.546 
Cubeful Equities 
No redouble:  +1.001  
Redouble/Take:  +1.379 (+0.378)  
Redouble/Pass:  +1.000 (0.001) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 0.4% 


66: 13/1* 7/1(2) 

XGID=GCCAabcbcbbA:1:1:1:66:4:8:0:11:3 
Pip=5177 



1.  3ply  13/1* 7/1(2)  eq: +1.000 
 Player: Opponent:  95.94% (G:3.06% B:0.06%) 4.06% (G:0.00% B:0.00%)  



31: Cannot Move 

XGID=GCCAcbcbbcA:1:1:1:31:4:8:0:11:3 
Pip=5253 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  3.99% (G:0.00% B:0.00%) 96.01% (G:2.89% B:0.05%)  



Double/Pass 

XGID=GCCAcbcbbcA:1:1:1:00:4:8:0:11:3 
Pip=5253 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
96.01% (G:3.01% B:0.05%) 
96.01% (G:2.89% B:0.05%) 
Opponent Winning Chances: 
3.99% (G:0.00% B:0.00%) 
3.99% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.942 
+1.561 
Cubeful Equities 
No redouble:  +0.981 (0.019)  
Redouble/Take:  +1.407 (+0.407)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


Wins 2pts. 



