63: 24/18 13/10 

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



1.  Book^{1}  24/18 13/10  eq: +0.010 
 Player: Opponent:  50.36% (G:12.69% B:0.55%) 49.64% (G:13.05% B:0.54%)  

2.  Book^{1}  24/15  eq: 0.008 (0.017) 
 Player: Opponent:  50.31% (G:11.57% B:0.48%) 49.69% (G:12.91% B:0.46%)  

3.  Book^{1}  13/4  eq: 0.056 (0.066) 
 Player: Opponent:  48.43% (G:13.74% B:0.66%) 51.57% (G:14.20% B:0.74%)  

4.  Book^{1}  24/21 13/7  eq: 0.058 (0.068) 
 Player: Opponent:  48.47% (G:13.06% B:0.57%) 51.53% (G:13.72% B:0.59%)  

5.  Book^{1}  24/21 24/18  eq: 0.083 (0.093) 
 Player: Opponent:  48.78% (G:11.16% 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++



44: 24/20(2) 13/9(2) 

XGID=aEaCdEaceB:0:0:1:44:0:0:0:11:3 
Pip=167158 



1.  4ply  24/20(2) 13/9(2)  eq: +0.229 
 Player: Opponent:  55.13% (G:11.19% B:0.29%) 44.87% (G:5.38% B:0.17%)  

2.  4ply  24/20(2) 6/2(2)  eq: +0.145 (0.084) 
 Player: Opponent:  52.75% (G:11.03% B:0.25%) 47.25% (G:6.08% B:0.20%)  

3.  4ply  24/16(2)  eq: +0.142 (0.088) 
 Player: Opponent:  54.34% (G:7.19% B:0.20%) 45.66% (G:6.46% B:0.18%)  

4.  3ply  13/5(2)  eq: +0.101 (0.129) 
 Player: Opponent:  51.44% (G:15.82% B:0.56%) 48.56% (G:11.03% B:0.46%)  

5.  3ply  24/20(2) 8/4(2)  eq: +0.077 (0.152) 
 Player: Opponent:  50.65% (G:12.19% B:0.35%) 49.35% (G:7.47% B:0.19%)  



51: 24/18 

XGID=aEaCBdCaceB:0:0:1:51:0:0:0:11:3 
Pip=151158 



1.  3ply  24/18  eq: 0.228 
 Player: Opponent:  43.90% (G:5.71% B:0.19%) 56.10% (G:9.10% B:0.26%)  

2.  3ply  18/13 10/9  eq: 0.439 (0.210) 
 Player: Opponent:  39.90% (G:5.48% B:0.17%) 60.10% (G:15.69% B:0.43%)  

3.  2ply  10/4  eq: 0.467 (0.239) 
 Player: Opponent:  39.08% (G:6.33% B:0.18%) 60.92% (G:17.83% B:0.63%)  

4.  2ply  24/23 18/13  eq: 0.485 (0.257) 
 Player: Opponent:  38.52% (G:5.64% B:0.12%) 61.48% (G:17.40% B:0.43%)  

5.  2ply  18/13 8/7  eq: 0.504 (0.276) 
 Player: Opponent:  37.87% (G:5.93% B:0.14%) 62.13% (G:17.51% B:0.62%)  



65: 20/15* 15/9 

XGID=EbCBdCaceB:0:0:1:65:0:0:0:11:3 
Pip=151152 



1.  4ply  20/15* 15/9  eq: +0.499 
 Player: Opponent:  62.94% (G:13.74% B:0.40%) 37.06% (G:6.57% B:0.20%)  

2.  4ply  20/14 20/15*  eq: +0.386 (0.113) 
 Player: Opponent:  60.71% (G:11.35% B:0.34%) 39.29% (G:7.16% B:0.23%)  

3.  2ply  20/15* 8/2  eq: +0.118 (0.381) 
 Player: Opponent:  53.12% (G:12.74% B:0.37%) 46.88% (G:10.51% B:0.47%)  

4.  2ply  9/4 9/3  eq: +0.115 (0.384) 
 Player: Opponent:  52.89% (G:7.50% B:0.16%) 47.11% (G:5.06% B:0.19%)  

5.  2ply  13/2  eq: +0.111 (0.388) 
 Player: Opponent:  52.84% (G:7.38% B:0.14%) 47.16% (G:5.09% B:0.22%)  



32: Bar/23 8/5* 

XGID=aEbCCdCceA:0:0:1:32:0:0:0:11:3 
Pip=140167 



1.  4ply  Bar/23 8/5*  eq: 0.483 
 Player: Opponent:  37.99% (G:7.47% B:0.15%) 62.01% (G:15.86% B:0.51%)  

2.  4ply  Bar/23 6/3  eq: 0.592 (0.109) 
 Player: Opponent:  34.26% (G:5.67% B:0.10%) 65.74% (G:13.36% B:0.34%)  

3.  3ply  Bar/22 6/4  eq: 0.629 (0.147) 
 Player: Opponent:  33.72% (G:5.31% B:0.18%) 66.28% (G:13.74% B:0.34%)  

4.  3ply  Bar/23 13/10  eq: 0.635 (0.152) 
 Player: Opponent:  34.11% (G:5.83% B:0.19%) 65.89% (G:15.68% B:0.47%)  

5.  3ply  Bar/22 13/11  eq: 0.664 (0.181) 
 Player: Opponent:  33.59% (G:5.59% B:0.19%) 66.41% (G:16.36% B:0.48%)  



No double 

XGID=aEbCCdCbeaA:0:0:1:00:0:0:0:11:3 
Pip=145162 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
62.01% (G:15.86% B:0.51%) 
62.01% (G:15.86% B:0.51%) 
Opponent Winning Chances: 
37.99% (G:7.47% B:0.15%) 
37.99% (G:7.47% B:0.16%) 
Cubeless Equities 
+0.329 
+0.669 
Cubeful Equities 
No double:  +0.483  
Double/Take:  +0.388 (0.095)  
Double/Pass:  +1.000 (+0.517) 

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


51: Bar/20* 9/8 

XGID=aEbCCdCbeaA:0:0:1:51:0:0:0:11:3 
Pip=145162 



1.  4ply  Bar/20* 9/8  eq: +0.582 
 Player: Opponent:  63.32% (G:19.53% B:0.78%) 36.68% (G:7.15% B:0.25%)  

2.  4ply  Bar/20* 6/5  eq: +0.514 (0.068) 
 Player: Opponent:  62.00% (G:16.62% B:0.63%) 38.00% (G:7.09% B:0.23%)  

3.  2ply  Bar/24 13/8  eq: +0.297 (0.285) 
 Player: Opponent:  57.94% (G:14.04% B:0.40%) 42.06% (G:9.22% B:0.25%)  

4.  2ply  Bar/24 6/1  eq: +0.231 (0.351) 
 Player: Opponent:  56.09% (G:14.36% B:0.39%) 43.91% (G:10.35% B:0.32%)  

5.  2ply  Bar/24 8/3  eq: +0.173 (0.409) 
 Player: Opponent:  54.35% (G:14.35% B:0.45%) 45.65% (G:10.87% B:0.34%)  



21: Bar/23 6/5* 

XGID=aaEbDBdCbeA:0:0:1:21:0:0:0:11:3 
Pip=139182 



1.  3ply  Bar/23 6/5*  eq: 0.439 
 Player: Opponent:  40.28% (G:8.38% B:0.31%) 59.72% (G:19.87% B:0.96%)  

2.  3ply  Bar/24 6/4  eq: 0.603 (0.164) 
 Player: Opponent:  36.85% (G:7.39% B:0.26%) 63.15% (G:22.18% B:0.89%)  

3.  3ply  Bar/24 13/11  eq: 0.636 (0.197) 
 Player: Opponent:  36.82% (G:7.34% B:0.25%) 63.18% (G:24.00% B:1.13%)  

4.  3ply  Bar/23 8/7  eq: 0.679 (0.240) 
 Player: Opponent:  35.13% (G:6.27% B:0.23%) 64.87% (G:21.30% B:1.11%)  

5.  2ply  Bar/24 23/21  eq: 0.705 (0.267) 
 Player: Opponent:  34.29% (G:6.30% B:0.14%) 65.71% (G:21.64% B:0.68%)  



No double 

XGID=bEbDBdCbdaA:0:0:1:00:0:0:0:11:3 
Pip=144179 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
59.94% (G:20.08% B:0.96%) 
59.94% (G:20.05% B:0.95%) 
Opponent Winning Chances: 
40.06% (G:8.20% B:0.26%) 
40.06% (G:8.20% B:0.26%) 
Cubeless Equities 
+0.327 
+0.665 
Cubeful Equities 
No double:  +0.452  
Double/Take:  +0.359 (0.093)  
Double/Pass:  +1.000 (+0.548) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.7% 


51: Bar/20* 9/8 

XGID=bEbDBdCbdaA:0:0:1:51:0:0:0:11:3 
Pip=144179 



1.  XG Roller+  Bar/20* 6/5  eq: +0.532 
 Player: Opponent:  60.90% (G:21.32% B:1.11%) 39.10% (G:7.23% B:0.22%)  

2.  XG Roller+  Bar/20* 9/8  eq: +0.386 (0.146) 
 Player: Opponent:  56.75% (G:22.22% B:1.17%) 43.25% (G:8.77% B:0.28%)  

3.  3ply  Bar/24 13/8  eq: +0.293 (0.239) 
 Player: Opponent:  56.46% (G:17.74% B:0.73%) 43.54% (G:9.75% B:0.31%)  

4.  2ply  Bar/24 8/3  eq: +0.256 (0.277) 
 Player: Opponent:  55.43% (G:17.77% B:0.87%) 44.57% (G:10.37% B:0.40%)  

5.  2ply  Bar/24 6/1  eq: +0.227 (0.305) 
 Player: Opponent:  54.79% (G:17.96% B:0.78%) 45.21% (G:11.26% B:0.44%)  



42: Bar/21 18/16* 

XGID=abEbEAdCbdA:0:0:1:42:0:0:0:11:3 
Pip=138199 



1.  4ply  Bar/21 18/16*  eq: 0.360 
 Player: Opponent:  43.31% (G:8.71% B:0.32%) 56.69% (G:20.97% B:1.13%)  

2.  4ply  Bar/21 23/21  eq: 0.471 (0.111) 
 Player: Opponent:  40.55% (G:8.04% B:0.22%) 59.45% (G:22.71% B:0.64%)  

3.  3ply  Bar/21 13/11  eq: 0.473 (0.113) 
 Player: Opponent:  41.73% (G:8.04% B:0.31%) 58.27% (G:25.03% B:1.41%)  

4.  3ply  Bar/21 6/4  eq: 0.484 (0.124) 
 Player: Opponent:  40.94% (G:8.17% B:0.33%) 59.06% (G:24.37% B:1.26%)  

5.  3ply  Bar/23 13/9  eq: 0.512 (0.151) 
 Player: Opponent:  39.99% (G:7.98% B:0.33%) 60.01% (G:23.69% B:1.31%)  



No double 

XGID=baEaEadCbdAA:0:0:1:00:0:0:0:11:3 
Pip=154193 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
56.69% (G:20.97% B:1.13%) 
56.68% (G:20.98% B:1.13%) 
Opponent Winning Chances: 
43.31% (G:8.71% B:0.32%) 
43.32% (G:8.71% B:0.32%) 
Cubeless Equities 
+0.267 
+0.545 
Cubeful Equities 
No double:  +0.360  
Double/Take:  +0.202 (0.158)  
Double/Pass:  +1.000 (+0.640) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.6% 


53: Bar/20 6/3 

XGID=baEaEadCbdAA:0:0:1:53:0:0:0:11:3 
Pip=154193 



1.  4ply  Bar/20 6/3  eq: +0.367 
 Player: Opponent:  57.45% (G:18.88% B:0.66%) 42.55% (G:7.63% B:0.22%)  

2.  4ply  Bar/20 8/5  eq: +0.347 (0.020) 
 Player: Opponent:  56.98% (G:18.16% B:0.64%) 43.02% (G:7.64% B:0.22%)  

3.  4ply  Bar/20 13/10  eq: +0.245 (0.122) 
 Player: Opponent:  54.63% (G:16.77% B:0.55%) 45.37% (G:8.27% B:0.27%)  

4.  4ply  Bar/22 8/3  eq: +0.237 (0.129) 
 Player: Opponent:  54.10% (G:19.07% B:0.86%) 45.90% (G:10.07% B:0.41%)  

5.  3ply  Bar/22 13/8  eq: +0.240 (0.126) 
 Player: Opponent:  53.82% (G:20.32% B:0.91%) 46.18% (G:10.17% B:0.35%)  



41: 23/22* 22/18 

XGID=bAaDaEadCbdB:0:0:1:41:0:0:0:11:3 
Pip=146193 



1.  4ply  23/22* 22/18  eq: 0.259 
 Player: Opponent:  44.73% (G:7.64% B:0.18%) 55.27% (G:15.74% B:0.48%)  

2.  4ply  23/22* 18/14  eq: 0.278 (0.019) 
 Player: Opponent:  44.55% (G:8.00% B:0.23%) 55.45% (G:16.92% B:0.80%)  

3.  4ply  23/22* 13/9  eq: 0.348 (0.089) 
 Player: Opponent:  43.23% (G:8.27% B:0.26%) 56.77% (G:19.53% B:1.15%)  

4.  3ply  23/22* 6/2  eq: 0.431 (0.172) 
 Player: Opponent:  42.14% (G:7.60% B:0.20%) 57.86% (G:22.51% B:1.23%)  

5.  3ply  21/16  eq: 0.483 (0.224) 
 Player: Opponent:  40.12% (G:7.07% B:0.19%) 59.88% (G:21.89% B:0.77%)  



43: Bar/18 

XGID=aaDbEadCbdBA:0:0:1:43:0:0:0:11:3 
Pip=168188 



1.  4ply  Bar/22 13/9*  eq: +0.226 
 Player: Opponent:  54.26% (G:16.32% B:0.51%) 45.74% (G:8.48% B:0.24%)  

2.  4ply  Bar/18  eq: +0.209 (0.017) 
 Player: Opponent:  54.31% (G:14.77% B:0.36%) 45.69% (G:8.17% B:0.25%)  

3.  4ply  Bar/22 8/4*  eq: +0.178 (0.048) 
 Player: Opponent:  53.20% (G:15.28% B:0.44%) 46.80% (G:8.65% B:0.25%)  

4.  4ply  Bar/22 6/2*  eq: +0.128 (0.097) 
 Player: Opponent:  52.00% (G:14.78% B:0.38%) 48.00% (G:9.17% B:0.27%)  

5.  4ply  Bar/21 8/5  eq: +0.128 (0.098) 
 Player: Opponent:  51.96% (G:14.39% B:0.39%) 48.04% (G:8.79% B:0.26%)  



21: 23/21 16/15 

XGID=aaDbEadCbAdB:0:0:1:21:0:0:0:11:3 
Pip=161188 



1.  4ply  23/21 16/15  eq: 0.264 
 Player: Opponent:  43.59% (G:8.01% B:0.22%) 56.41% (G:13.93% B:0.38%)  

2.  4ply  16/13  eq: 0.332 (0.068) 
 Player: Opponent:  42.45% (G:7.52% B:0.18%) 57.55% (G:15.97% B:0.47%)  

3.  4ply  23/22 6/4  eq: 0.335 (0.072) 
 Player: Opponent:  43.34% (G:8.28% B:0.23%) 56.66% (G:18.83% B:0.80%)  

4.  4ply  16/15 6/4  eq: 0.340 (0.076) 
 Player: Opponent:  43.41% (G:7.74% B:0.21%) 56.59% (G:18.89% B:0.81%)  

5.  4ply  21/18  eq: 0.343 (0.080) 
 Player: Opponent:  42.56% (G:7.65% B:0.18%) 57.44% (G:17.33% B:0.52%)  



No double 

XGID=bDbEadCbAdB:0:0:1:00:0:0:0:11:3 
Pip=161185 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
56.41% (G:13.93% B:0.38%) 
56.41% (G:13.92% B:0.38%) 
Opponent Winning Chances: 
43.59% (G:8.01% B:0.22%) 
43.59% (G:8.01% B:0.22%) 
Cubeless Equities 
+0.190 
+0.387 
Cubeful Equities 
No double:  +0.264  
Double/Take:  +0.064 (0.199)  
Double/Pass:  +1.000 (+0.736) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.6% 


41: 18/13 

XGID=bDbEadCbAdB:0:0:1:41:0:0:0:11:3 
Pip=161185 



1.  4ply  18/13  eq: +0.248 
 Player: Opponent:  56.14% (G:12.74% B:0.27%) 43.86% (G:7.37% B:0.25%)  

2.  4ply  13/8  eq: +0.159 (0.089) 
 Player: Opponent:  53.47% (G:12.83% B:0.27%) 46.53% (G:8.17% B:0.27%)  

3.  4ply  18/14 6/5  eq: +0.123 (0.125) 
 Player: Opponent:  52.44% (G:12.32% B:0.28%) 47.56% (G:8.19% B:0.25%)  

4.  3ply  6/1  eq: +0.101 (0.147) 
 Player: Opponent:  51.84% (G:12.44% B:0.31%) 48.16% (G:8.58% B:0.29%)  

5.  3ply  6/5 6/2  eq: +0.053 (0.195) 
 Player: Opponent:  50.50% (G:11.93% B:0.35%) 49.50% (G:8.79% B:0.29%)  



43: 15/8 

XGID=bDbEadDbdB:0:0:1:43:0:0:0:11:3 
Pip=156185 



1.  4ply  15/8  eq: 0.283 (+0.008) 
 Player: Opponent:  42.54% (G:7.02% B:0.20%) 57.46% (G:12.01% B:0.27%)  

2.  4ply  15/11 13/10  eq: 0.292 
 Player: Opponent:  43.21% (G:8.51% B:0.25%) 56.79% (G:15.80% B:0.44%)  

3.  4ply  18/15 18/14  eq: 0.297 (0.005) 
 Player: Opponent:  42.62% (G:6.95% B:0.22%) 57.38% (G:12.97% B:0.36%)  

4.  4ply  15/11 6/3  eq: 0.320 (0.028) 
 Player: Opponent:  42.36% (G:7.95% B:0.22%) 57.64% (G:15.46% B:0.45%)  

5.  4ply  18/15 13/9  eq: 0.326 (0.034) 
 Player: Opponent:  42.21% (G:7.35% B:0.25%) 57.79% (G:14.71% B:0.46%)  



No double 

XGID=bDbEdDcdB:0:0:1:00:0:0:0:11:3 
Pip=156178 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.46% (G:12.01% B:0.27%) 
57.46% (G:12.02% B:0.27%) 
Opponent Winning Chances: 
42.54% (G:7.02% B:0.20%) 
42.54% (G:7.02% B:0.20%) 
Cubeless Equities 
+0.201 
+0.407 
Cubeful Equities 
No double:  +0.283  
Double/Take:  +0.096 (0.187)  
Double/Pass:  +1.000 (+0.717) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.2% 


52: 13/6 

XGID=bDbEdDcdB:0:0:1:52:0:0:0:11:3 
Pip=156178 



1.  4ply  8/6 8/3  eq: +0.241 (+0.001) 
 Player: Opponent:  55.97% (G:12.51% B:0.29%) 44.03% (G:7.33% B:0.25%)  

2.  4ply  13/6  eq: +0.240 
 Player: Opponent:  56.13% (G:12.02% B:0.24%) 43.87% (G:7.29% B:0.25%)  

3.  4ply  8/1  eq: +0.207 (0.033) 
 Player: Opponent:  55.08% (G:12.48% B:0.23%) 44.92% (G:7.82% B:0.29%)  

4.  4ply  13/11 8/3  eq: +0.196 (0.044) 
 Player: Opponent:  54.63% (G:12.10% B:0.30%) 45.37% (G:7.36% B:0.23%)  

5.  4ply  13/11 13/8  eq: +0.157 (0.082) 
 Player: Opponent:  53.71% (G:11.36% B:0.23%) 46.29% (G:7.47% B:0.24%)  



52: 13/8 6/4 

XGID=bEbEdCcdB:0:0:1:52:0:0:0:11:3 
Pip=149178 



1.  4ply  13/8 6/4  eq: 0.252 
 Player: Opponent:  43.35% (G:7.25% B:0.21%) 56.65% (G:11.69% B:0.25%)  

2.  4ply  8/3 6/4  eq: 0.284 (0.032) 
 Player: Opponent:  42.76% (G:7.47% B:0.22%) 57.24% (G:13.03% B:0.32%)  

3.  4ply  13/11 13/8  eq: 0.306 (0.054) 
 Player: Opponent:  42.31% (G:8.16% B:0.23%) 57.69% (G:14.45% B:0.37%)  

4.  4ply  13/6  eq: 0.319 (0.067) 
 Player: Opponent:  41.52% (G:7.12% B:0.21%) 58.48% (G:12.48% B:0.29%)  

5.  4ply  18/13 6/4  eq: 0.322 (0.070) 
 Player: Opponent:  41.84% (G:6.69% B:0.20%) 58.16% (G:12.59% B:0.31%)  



42: 8/2 

XGID=bEbEcCdcBa:0:0:1:42:0:0:0:11:3 
Pip=149171 



1.  4ply  8/2  eq: +0.184 
 Player: Opponent:  54.53% (G:11.59% B:0.24%) 45.47% (G:7.54% B:0.27%)  

2.  4ply  13/11 6/2  eq: +0.125 (0.059) 
 Player: Opponent:  52.62% (G:11.77% B:0.26%) 47.38% (G:7.89% B:0.28%)  

3.  4ply  13/9 8/6  eq: +0.083 (0.101) 
 Player: Opponent:  51.30% (G:11.50% B:0.28%) 48.70% (G:7.84% B:0.28%)  

4.  3ply  20/14  eq: +0.042 (0.142) 
 Player: Opponent:  51.41% (G:11.62% B:0.29%) 48.59% (G:11.50% B:0.31%)  

5.  3ply  20/16 8/6  eq: +0.012 (0.172) 
 Player: Opponent:  50.89% (G:11.19% B:0.27%) 49.11% (G:12.15% B:0.36%)  



21: 8/7 6/4 

XGID=AbEbDcCdcBa:0:0:1:21:0:0:0:11:3 
Pip=143171 



1.  4ply  8/7 6/4  eq: 0.190 
 Player: Opponent:  45.48% (G:8.04% B:0.26%) 54.52% (G:12.63% B:0.26%)  

2.  4ply  13/10  eq: 0.238 (0.048) 
 Player: Opponent:  44.42% (G:8.71% B:0.27%) 55.58% (G:14.64% B:0.36%)  

3.  4ply  13/11 8/7  eq: 0.255 (0.066) 
 Player: Opponent:  44.46% (G:8.83% B:0.32%) 55.54% (G:16.26% B:0.47%)  

4.  4ply  8/7 8/6  eq: 0.275 (0.085) 
 Player: Opponent:  43.30% (G:8.33% B:0.27%) 56.70% (G:14.54% B:0.35%)  

5.  4ply  6/3  eq: 0.279 (0.089) 
 Player: Opponent:  43.24% (G:7.97% B:0.25%) 56.76% (G:14.35% B:0.35%)  



32: 8/3 

XGID=AbEbDcCcabBb:0:0:1:32:0:0:0:11:3 
Pip=143168 



1.  4ply  8/3  eq: +0.130 
 Player: Opponent:  52.79% (G:11.98% B:0.25%) 47.21% (G:8.05% B:0.31%)  

2.  4ply  13/8  eq: +0.118 (0.012) 
 Player: Opponent:  52.50% (G:11.42% B:0.22%) 47.50% (G:7.75% B:0.30%)  

3.  4ply  6/1  eq: +0.111 (0.019) 
 Player: Opponent:  52.19% (G:12.19% B:0.19%) 47.81% (G:8.32% B:0.34%)  

4.  4ply  8/6 8/5  eq: +0.039 (0.091) 
 Player: Opponent:  50.18% (G:11.48% B:0.26%) 49.82% (G:8.60% B:0.33%)  

5.  4ply  20/18* 18/15  eq: +0.009 (0.121) 
 Player: Opponent:  49.68% (G:14.63% B:0.42%) 50.32% (G:12.67% B:0.59%)  



41: 13/9 8/7 

XGID=AAbEbCcCcabBb:0:0:1:41:0:0:0:11:3 
Pip=138168 



1.  4ply  13/9 8/7  eq: 0.138 
 Player: Opponent:  46.97% (G:8.17% B:0.32%) 53.03% (G:12.21% B:0.24%)  

2.  4ply  18/14 8/7  eq: 0.141 (0.003) 
 Player: Opponent:  47.20% (G:8.30% B:0.32%) 52.80% (G:13.05% B:0.28%)  

3.  4ply  18/13  eq: 0.206 (0.068) 
 Player: Opponent:  45.24% (G:8.01% B:0.28%) 54.76% (G:13.13% B:0.27%)  

4.  4ply  13/9 7/6  eq: 0.209 (0.072) 
 Player: Opponent:  44.85% (G:8.30% B:0.30%) 55.15% (G:13.01% B:0.26%)  

5.  4ply  13/8  eq: 0.216 (0.079) 
 Player: Opponent:  44.64% (G:8.17% B:0.27%) 55.36% (G:12.91% B:0.26%)  



53: 13/8 6/3 

XGID=AAbEbCbCabbbBb:0:0:1:53:0:0:0:11:3 
Pip=138163 



1.  4ply  13/8 6/3  eq: +0.113 
 Player: Opponent:  52.16% (G:12.14% B:0.24%) 47.84% (G:8.13% B:0.31%)  

2.  4ply  6/3 6/1  eq: +0.077 (0.037) 
 Player: Opponent:  51.15% (G:12.33% B:0.20%) 48.85% (G:8.73% B:0.36%)  

3.  4ply  8/3 6/3  eq: +0.056 (0.057) 
 Player: Opponent:  50.45% (G:12.35% B:0.24%) 49.55% (G:8.81% B:0.34%)  

4.  4ply  13/5  eq: +0.006 (0.107) 
 Player: Opponent:  49.12% (G:11.09% B:0.24%) 50.88% (G:8.30% B:0.34%)  

5.  3ply  8/5 6/1  eq: 0.040 (0.153) 
 Player: Opponent:  47.81% (G:11.44% B:0.24%) 52.19% (G:9.03% B:0.47%)  



52: 18/16 18/13 

XGID=ABbDbDbBabbbBb:0:0:1:52:0:0:0:11:3 
Pip=130163 



1.  4ply  18/16 18/13  eq: 0.122 
 Player: Opponent:  47.85% (G:8.23% B:0.37%) 52.15% (G:13.02% B:0.28%)  

2.  4ply  18/13 9/7  eq: 0.175 (0.053) 
 Player: Opponent:  45.78% (G:7.62% B:0.32%) 54.22% (G:11.73% B:0.21%)  

3.  4ply  13/8 9/7  eq: 0.204 (0.082) 
 Player: Opponent:  44.83% (G:8.19% B:0.30%) 55.17% (G:12.45% B:0.23%)  

4.  4ply  13/11 13/8  eq: 0.216 (0.094) 
 Player: Opponent:  45.37% (G:8.79% B:0.36%) 54.63% (G:15.21% B:0.34%)  

5.  4ply  13/6  eq: 0.237 (0.115) 
 Player: Opponent:  44.76% (G:8.51% B:0.36%) 55.24% (G:15.13% B:0.33%)  



53: 8/5 6/1 

XGID=ABbDDacBabbbBb:0:0:1:53:0:0:0:11:3 
Pip=130156 



1.  4ply  8/5 6/1  eq: 0.033 
 Player: Opponent:  48.17% (G:10.68% B:0.17%) 51.83% (G:8.77% B:0.38%)  

2.  4ply  8/5 8/3  eq: 0.056 (0.023) 
 Player: Opponent:  47.38% (G:10.97% B:0.22%) 52.62% (G:9.03% B:0.37%)  

3.  4ply  8/3 6/3  eq: 0.118 (0.086) 
 Player: Opponent:  46.17% (G:9.68% B:0.18%) 53.83% (G:9.82% B:0.40%)  

4.  4ply  6/3 6/1  eq: 0.120 (0.087) 
 Player: Opponent:  46.09% (G:9.68% B:0.14%) 53.91% (G:9.71% B:0.42%)  

5.  3ply  13/10 13/8  eq: 0.172 (0.140) 
 Player: Opponent:  43.96% (G:7.47% B:0.18%) 56.04% (G:6.67% B:0.25%)  



66: 21/9 16/10 13/7 

XGID=AABbACCacBabbbBb:0:0:1:66:0:0:0:11:3 
Pip=122156 



1.  XG Roller+  21/15 21/9 16/10  eq: +0.019 
 Player: Opponent:  51.91% (G:5.14% B:0.24%) 48.09% (G:10.18% B:0.11%)  

2.  XG Roller+  21/9 16/10 13/7  eq: 0.109 (0.128) 
 Player: Opponent:  49.49% (G:6.24% B:0.30%) 50.51% (G:15.46% B:0.12%)  

3.  4ply  21/9(2)  eq: 0.062 (0.081) 
 Player: Opponent:  48.68% (G:3.29% B:0.08%) 51.32% (G:6.38% B:0.03%)  

4.  4ply  21/15(2) 16/10 13/7  eq: 0.064 (0.083) 
 Player: Opponent:  48.90% (G:5.62% B:0.19%) 51.10% (G:8.64% B:0.09%)  

5.  4ply  16/4 13/7 9/3  eq: 0.109 (0.128) 
 Player: Opponent:  47.03% (G:7.28% B:0.29%) 52.97% (G:9.06% B:0.16%)  



54: 20/15* 5/1 

XGID=AABaACCbBabbcbBb:0:0:1:54:0:0:0:11:3 
Pip=122132 



1.  4ply  20/15* 5/1  eq: 0.044 
 Player: Opponent:  45.93% (G:19.04% B:0.35%) 54.07% (G:15.71% B:0.91%)  

2.  4ply  8/3 5/1  eq: 0.051 (0.008) 
 Player: Opponent:  46.75% (G:9.12% B:0.03%) 53.25% (G:5.53% B:0.29%)  

3.  3ply  6/1 5/1  eq: 0.213 (0.169) 
 Player: Opponent:  42.99% (G:6.95% B:0.05%) 57.01% (G:7.11% B:0.24%)  

4.  3ply  8/3 6/2  eq: 0.269 (0.226) 
 Player: Opponent:  41.25% (G:8.62% B:0.08%) 58.75% (G:7.66% B:0.29%)  

5.  3ply  13/8 5/1  eq: 0.283 (0.239) 
 Player: Opponent:  40.77% (G:5.71% B:0.06%) 59.23% (G:5.09% B:0.14%)  



62: Bar/23* 21/15 

XGID=aBABaCCbBAbbcbAb:0:0:1:62:0:0:0:11:3 
Pip=113147 



1.  3ply  Bar/23* 21/15  eq: +0.347 
 Player: Opponent:  60.94% (G:16.24% B:1.09%) 39.06% (G:13.25% B:0.24%)  

2.  3ply  Bar/23* 13/7  eq: +0.126 (0.221) 
 Player: Opponent:  54.34% (G:15.44% B:1.05%) 45.66% (G:15.08% B:0.46%)  

3.  2ply  Bar/23* 7/1  eq: +0.058 (0.289) 
 Player: Opponent:  52.69% (G:15.02% B:0.91%) 47.31% (G:18.15% B:0.54%)  

4.  1ply  Bar/23* 9/3  eq: 0.112 (0.459) 
 Player: Opponent:  49.28% (G:14.97% B:0.90%) 50.72% (G:22.55% B:1.11%)  

5.  1ply  Bar/23* 8/2  eq: 0.140 (0.487) 
 Player: Opponent:  48.46% (G:15.20% B:0.88%) 51.54% (G:23.03% B:1.11%)  



52: Bar/20 15/13 

XGID=BaBCCabBAbbcbAbA:0:0:1:52:0:0:0:11:3 
Pip=136139 



1.  3ply  Bar/20 15/13  eq: +0.065 
 Player: Opponent:  49.61% (G:12.50% B:0.13%) 50.39% (G:5.97% B:0.21%)  

2.  3ply  Bar/23 15/10*  eq: 0.116 (0.181) 
 Player: Opponent:  44.54% (G:18.29% B:0.45%) 55.46% (G:14.17% B:0.80%)  

3.  2ply  Bar/20 8/6  eq: 0.263 (0.328) 
 Player: Opponent:  40.68% (G:10.09% B:0.13%) 59.32% (G:8.65% B:0.32%)  

4.  2ply  Bar/23 20/15  eq: 0.397 (0.461) 
 Player: Opponent:  38.40% (G:12.43% B:0.15%) 61.60% (G:16.54% B:0.63%)  

5.  2ply  Bar/20 6/4  eq: 0.472 (0.537) 
 Player: Opponent:  35.38% (G:8.49% B:0.12%) 64.62% (G:11.14% B:0.45%)  



55: 23/8 15/10 

XGID=BaBCCabCbbcbBb:0:0:1:55:0:0:0:11:3 
Pip=129139 



1.  4ply  23/8 15/10  eq: +0.284 
 Player: Opponent:  59.70% (G:4.49% B:0.15%) 40.30% (G:5.46% B:0.07%)  

2.  4ply  23/13 15/10 7/2  eq: +0.186 (0.098) 
 Player: Opponent:  57.31% (G:4.16% B:0.13%) 42.69% (G:6.87% B:0.10%)  

3.  3ply  23/3  eq: +0.105 (0.178) 
 Player: Opponent:  55.45% (G:4.53% B:0.18%) 44.55% (G:8.90% B:0.08%)  

4.  3ply  23/13 8/3(2)  eq: +0.096 (0.188) 
 Player: Opponent:  54.79% (G:4.62% B:0.17%) 45.21% (G:8.15% B:0.03%)  

5.  3ply  23/8 7/2  eq: +0.076 (0.208) 
 Player: Opponent:  54.70% (G:4.45% B:0.17%) 45.30% (G:9.45% B:0.08%)  



64: 8/4 8/2 

XGID=BBCCbCabccbBb:0:0:1:64:0:0:0:11:3 
Pip=129119 



1.  XG Roller+  13/7 8/4  eq: 0.381 
 Player: Opponent:  37.91% (G:1.02% B:0.00%) 62.09% (G:1.45% B:0.02%)  

2.  XG Roller+  8/4 8/2  eq: 0.398 (0.017) 
 Player: Opponent:  37.27% (G:1.40% B:0.01%) 62.73% (G:1.73% B:0.04%)  

3.  4ply  13/9 8/2  eq: 0.405 (0.023) 
 Player: Opponent:  36.63% (G:1.63% B:0.01%) 63.37% (G:2.04% B:0.08%)  

4.  4ply  8/2 6/2  eq: 0.407 (0.026) 
 Player: Opponent:  36.59% (G:1.37% B:0.00%) 63.41% (G:1.86% B:0.06%)  

5.  4ply  13/7 6/2  eq: 0.417 (0.035) 
 Player: Opponent:  36.26% (G:1.65% B:0.01%) 63.74% (G:2.10% B:0.09%)  



No double 

XGID=BABACAbCabccbBb:0:0:1:00:0:0:0:11:3 
Pip=119119 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.54% (G:1.83% B:0.06%) 
63.54% (G:1.83% B:0.06%) 
Opponent Winning Chances: 
36.46% (G:1.66% B:0.01%) 
36.46% (G:1.66% B:0.01%) 
Cubeless Equities 
+0.273 
+0.551 
Cubeful Equities 
No double:  +0.407  
Double/Take:  +0.292 (0.115)  
Double/Pass:  +1.000 (+0.593) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.0% 


54: 10/6 8/3 

XGID=BABACAbCabccbBb:0:0:1:54:0:0:0:11:3 
Pip=119119 



1.  4ply  10/6 8/3  eq: +0.405 
 Player: Opponent:  63.10% (G:1.68% B:0.02%) 36.90% (G:1.17% B:0.01%)  

2.  4ply  10/6 7/2  eq: +0.399 (0.006) 
 Player: Opponent:  62.99% (G:1.64% B:0.02%) 37.01% (G:1.23% B:0.01%)  

3.  4ply  10/1  eq: +0.380 (0.025) 
 Player: Opponent:  62.40% (G:1.62% B:0.02%) 37.60% (G:1.36% B:0.01%)  

4.  4ply  8/3 7/3  eq: +0.327 (0.078) 
 Player: Opponent:  60.92% (G:4.80% B:0.21%) 39.08% (G:4.77% B:0.04%)  

5.  4ply  13/9 13/8  eq: +0.310 (0.095) 
 Player: Opponent:  60.75% (G:3.47% B:0.15%) 39.25% (G:3.98% B:0.03%)  



44: 13/5 8/4 6/2 

XGID=BABACAbCbbccBba:0:0:1:44:0:0:0:11:3 
Pip=119110 



1.  4ply  13/5 8/4 6/2  eq: 0.182 
 Player: Opponent:  43.99% (G:1.84% B:0.01%) 56.01% (G:1.91% B:0.04%)  

2.  4ply  13/9(2) 13/5  eq: 0.203 (0.021) 
 Player: Opponent:  43.38% (G:1.22% B:0.00%) 56.62% (G:1.47% B:0.03%)  

3.  4ply  13/9(3) 8/4  eq: 0.216 (0.034) 
 Player: Opponent:  42.90% (G:1.79% B:0.01%) 57.10% (G:1.99% B:0.06%)  

4.  4ply  13/9(3) 6/2  eq: 0.217 (0.034) 
 Player: Opponent:  42.90% (G:1.74% B:0.01%) 57.10% (G:1.93% B:0.06%)  

5.  4ply  13/9 8/4 6/2(2)  eq: 0.260 (0.078) 
 Player: Opponent:  41.72% (G:1.45% B:0.00%) 58.28% (G:2.38% B:0.06%)  



51: 7/2 3/2 

XGID=BBBBABbBbbccBba:0:0:1:51:0:0:0:11:3 
Pip=103110 



1.  4ply  7/2 3/2  eq: +0.142 
 Player: Opponent:  54.40% (G:2.12% B:0.04%) 45.60% (G:2.18% B:0.01%)  

2.  4ply  9/8 9/4  eq: +0.134 (0.008) 
 Player: Opponent:  54.02% (G:2.05% B:0.02%) 45.98% (G:1.75% B:0.01%)  

3.  4ply  8/7 8/3  eq: +0.102 (0.039) 
 Player: Opponent:  53.11% (G:1.98% B:0.02%) 46.89% (G:2.07% B:0.01%)  

4.  4ply  7/1  eq: +0.097 (0.045) 
 Player: Opponent:  53.18% (G:2.45% B:0.05%) 46.82% (G:3.31% B:0.04%)  

5.  4ply  7/2 4/3  eq: +0.091 (0.051) 
 Player: Opponent:  52.83% (G:2.13% B:0.03%) 47.17% (G:2.48% B:0.02%)  



43: 13/10 13/9 

XGID=BBBBABbBbbbcBbb:0:0:1:43:0:0:0:11:3 
Pip=103104 



1.  3ply  13/10 13/9  eq: 0.173 
 Player: Opponent:  44.34% (G:2.45% B:0.01%) 55.66% (G:2.01% B:0.04%)  

2.  3ply  6/3 6/2  eq: 0.311 (0.138) 
 Player: Opponent:  40.51% (G:1.59% B:0.01%) 59.49% (G:3.28% B:0.06%)  

3.  3ply  6/2 5/2  eq: 0.324 (0.151) 
 Player: Opponent:  40.03% (G:1.55% B:0.01%) 59.97% (G:3.22% B:0.07%)  

4.  3ply  6/3 5/1  eq: 0.326 (0.153) 
 Player: Opponent:  39.86% (G:1.42% B:0.01%) 60.14% (G:2.89% B:0.06%)  

5.  3ply  13/6  eq: 0.420 (0.247) 
 Player: Opponent:  36.95% (G:1.49% B:0.01%) 63.05% (G:3.41% B:0.07%)  



54: 13/9 13/8 

XGID=BBBBABAAbbbbcBbb:0:0:1:54:0:0:0:11:3 
Pip=96104 



1.  4ply  13/9 13/8  eq: +0.233 
 Player: Opponent:  57.19% (G:1.34% B:0.00%) 42.81% (G:0.67% B:0.00%)  

2.  4ply  8/4 8/3  eq: +0.159 (0.075) 
 Player: Opponent:  54.90% (G:1.88% B:0.03%) 45.10% (G:2.02% B:0.01%)  

3.  4ply  13/4  eq: +0.145 (0.088) 
 Player: Opponent:  54.10% (G:2.62% B:0.19%) 45.90% (G:3.53% B:0.02%)  

4.  4ply  7/3 7/2  eq: +0.107 (0.126) 
 Player: Opponent:  53.49% (G:2.05% B:0.04%) 46.51% (G:3.24% B:0.03%)  

5.  3ply  13/9 6/1  eq: +0.042 (0.192) 
 Player: Opponent:  51.40% (G:2.58% B:0.13%) 48.60% (G:5.17% B:0.01%)  



32: 10/5 

XGID=BBBBABAAccbcBbb:0:0:1:32:0:0:0:11:3 
Pip=9695 



1.  4ply  10/5  eq: 0.349 
 Player: Opponent:  38.51% (G:0.56% B:0.00%) 61.49% (G:1.07% B:0.01%)  

2.  4ply  10/8 9/6  eq: 0.359 (0.009) 
 Player: Opponent:  38.23% (G:0.53% B:0.00%) 61.77% (G:1.14% B:0.01%)  

3.  4ply  10/7 9/7  eq: 0.368 (0.019) 
 Player: Opponent:  37.93% (G:0.46% B:0.00%) 62.07% (G:1.16% B:0.01%)  

4.  4ply  9/4  eq: 0.374 (0.025) 
 Player: Opponent:  37.77% (G:0.43% B:0.00%) 62.23% (G:1.13% B:0.01%)  

5.  4ply  10/8 6/3  eq: 0.377 (0.027) 
 Player: Opponent:  37.67% (G:0.45% B:0.00%) 62.33% (G:1.23% B:0.02%)  



No double 

XGID=BBBBBBAccbcBbb:0:0:1:00:0:0:0:11:3 
Pip=9195 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
61.49% (G:1.07% B:0.01%) 
61.49% (G:1.07% B:0.01%) 
Opponent Winning Chances: 
38.51% (G:0.56% B:0.00%) 
38.51% (G:0.56% B:0.00%) 
Cubeless Equities 
+0.235 
+0.474 
Cubeful Equities 
No double:  +0.349  
Double/Take:  +0.202 (0.147)  
Double/Pass:  +1.000 (+0.651) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.6% 


11: 9/6 8/7 

XGID=BBBBBBAccbcBbb:0:0:1:11:0:0:0:11:3 
Pip=9195 



1.  4ply  9/6 8/7  eq: +0.241 
 Player: Opponent:  57.25% (G:1.47% B:0.01%) 42.75% (G:0.99% B:0.00%)  

2.  4ply  9/7 2/1(2)  eq: +0.216 (0.025) 
 Player: Opponent:  56.36% (G:1.46% B:0.01%) 43.64% (G:1.04% B:0.00%)  

3.  4ply  8/6 2/1(2)  eq: +0.211 (0.029) 
 Player: Opponent:  56.27% (G:1.44% B:0.01%) 43.73% (G:1.37% B:0.00%)  

4.  4ply  9/7 4/3(2)  eq: +0.203 (0.037) 
 Player: Opponent:  55.99% (G:1.41% B:0.01%) 44.01% (G:1.06% B:0.00%)  

5.  4ply  8/6 4/3(2)  eq: +0.181 (0.060) 
 Player: Opponent:  55.38% (G:1.25% B:0.01%) 44.62% (G:1.10% B:0.00%)  



41: 9/4 

XGID=BBBBBBAbbcdBbb:0:0:1:41:0:0:0:11:3 
Pip=9191 



1.  4ply  9/4  eq: 0.325 
 Player: Opponent:  39.10% (G:1.54% B:0.01%) 60.90% (G:1.37% B:0.02%)  

2.  4ply  9/8 6/2  eq: 0.374 (0.049) 
 Player: Opponent:  37.74% (G:0.59% B:0.00%) 62.26% (G:1.32% B:0.02%)  

3.  4ply  6/5 6/2  eq: 0.382 (0.058) 
 Player: Opponent:  37.51% (G:0.43% B:0.00%) 62.49% (G:1.26% B:0.02%)  

4.  4ply  6/1  eq: 0.383 (0.058) 
 Player: Opponent:  37.45% (G:0.47% B:0.00%) 62.55% (G:1.24% B:0.02%)  

5.  4ply  9/5 6/5  eq: 0.390 (0.065) 
 Player: Opponent:  37.15% (G:1.30% B:0.00%) 62.85% (G:1.60% B:0.03%)  



No double 

XGID=BBBCBBbbcdBbb:0:0:1:00:0:0:0:11:3 
Pip=8691 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
60.90% (G:1.37% B:0.02%) 
60.89% (G:1.37% B:0.02%) 
Opponent Winning Chances: 
39.10% (G:1.54% B:0.01%) 
39.11% (G:1.52% B:0.01%) 
Cubeless Equities 
+0.216 
+0.436 
Cubeful Equities 
No double:  +0.325  
Double/Take:  +0.167 (0.158)  
Double/Pass:  +1.000 (+0.675) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.9% 


32: 7/4 6/4 

XGID=BBBCBBbbcdBbb:0:0:1:32:0:0:0:11:3 
Pip=8691 



1.  XG Roller+  6/1  eq: +0.260 
 Player: Opponent:  57.65% (G:1.95% B:0.03%) 42.35% (G:4.48% B:0.04%)  

2.  XG Roller+  7/4 6/4  eq: +0.215 (0.045) 
 Player: Opponent:  56.52% (G:1.43% B:0.03%) 43.48% (G:1.61% B:0.01%)  

3.  4ply  6/4 6/3  eq: +0.231 (0.029) 
 Player: Opponent:  57.82% (G:1.61% B:0.03%) 42.18% (G:4.34% B:0.06%)  

4.  4ply  7/2  eq: +0.226 (0.034) 
 Player: Opponent:  56.63% (G:1.22% B:0.02%) 43.37% (G:1.02% B:0.01%)  

5.  3ply  6/3 4/2  eq: +0.060 (0.200) 
 Player: Opponent:  51.98% (G:0.94% B:0.02%) 48.02% (G:0.69% B:0.00%)  



62: 20/12 

XGID=BBBCBBbbbcBdb:0:0:1:62:0:0:0:11:3 
Pip=8686 



1.  4ply  20/12  eq: 0.296 
 Player: Opponent:  40.51% (G:1.57% B:0.01%) 59.49% (G:1.43% B:0.02%)  

2.  4ply  20/14 4/2  eq: 0.335 (0.039) 
 Player: Opponent:  39.27% (G:1.48% B:0.01%) 60.73% (G:1.82% B:0.03%)  

3.  4ply  20/14 6/4  eq: 0.414 (0.118) 
 Player: Opponent:  36.23% (G:1.71% B:0.01%) 63.77% (G:3.01% B:0.07%)  

4.  4ply  20/14 3/1  eq: 0.420 (0.124) 
 Player: Opponent:  36.11% (G:1.54% B:0.01%) 63.89% (G:3.22% B:0.07%)  

5.  4ply  20/14 5/3  eq: 0.421 (0.125) 
 Player: Opponent:  35.93% (G:1.62% B:0.01%) 64.07% (G:3.27% B:0.07%)  



Double/Take 

XGID=BBBCBBAbbbcAdb:0:0:1:00:0:0:0:11:3 
Pip=7886 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
59.51% (G:1.45% B:0.02%) 
59.24% (G:1.34% B:0.02%) 
Opponent Winning Chances: 
40.49% (G:1.83% B:0.02%) 
40.76% (G:1.91% B:0.02%) 
Cubeless Equities 
+0.186 
+0.361 
Cubeful Equities 
No double:  +0.305  
Double/Take:  +0.140 (0.165)  
Double/Pass:  +1.000 (+0.695) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.1% 


63: 9/6 9/3 

XGID=BBBCBBAbbbcAdb:1:1:1:63:0:0:0:11:3 
Pip=7886 



1.  4ply  9/6 9/3  eq: 0.250 
 Player: Opponent:  45.46% (G:0.18% B:0.00%) 54.54% (G:0.46% B:0.01%)  

2.  4ply  7/4 7/1  eq: 0.274 (0.024) 
 Player: Opponent:  44.48% (G:0.10% B:0.00%) 55.52% (G:0.39% B:0.00%)  

3.  4ply  8/2 8/5*  eq: 0.325 (0.076) 
 Player: Opponent:  40.98% (G:0.81% B:0.01%) 59.02% (G:9.21% B:0.05%)  

4.  3ply  9/3 6/3  eq: 0.506 (0.257) 
 Player: Opponent:  33.40% (G:0.29% B:0.00%) 66.60% (G:5.33% B:0.02%)  

5.  2ply  9/3 4/1  eq: 0.501 (0.252) 
 Player: Opponent:  33.39% (G:0.27% B:0.00%) 66.61% (G:5.10% B:0.03%)  



62: 20/14 12/10 

XGID=BBBCBBAbbdAdab:1:1:1:62:0:0:0:11:3 
Pip=7877 



1.  4ply  20/14 12/10  eq: +0.304 
 Player: Opponent:  56.50% (G:0.00% B:0.00%) 43.50% (G:0.00% B:0.00%)  

2.  4ply  20/12  eq: +0.299 (0.005) 
 Player: Opponent:  56.29% (G:0.00% B:0.00%) 43.71% (G:0.00% B:0.00%)  

3.  4ply  20/14 6/4  eq: +0.270 (0.034) 
 Player: Opponent:  55.05% (G:0.00% B:0.00%) 44.95% (G:0.00% B:0.00%)  

4.  4ply  20/14 5/3  eq: +0.244 (0.060) 
 Player: Opponent:  53.98% (G:0.00% B:0.00%) 46.02% (G:0.00% B:0.00%)  

5.  4ply  20/14 4/2  eq: +0.242 (0.061) 
 Player: Opponent:  53.91% (G:0.00% B:0.00%) 46.09% (G:0.00% B:0.00%)  



33: 8/5(2) 7/4(2) 

XGID=BBBCBBAAbbddab:1:1:1:33:0:0:0:11:3 
Pip=7077 



1.  4ply  8/5(2) 7/1  eq: 0.026 (+0.001) 
 Player: Opponent:  55.66% (G:0.00% B:0.00%) 44.34% (G:0.00% B:0.00%)  

2.  4ply  8/5(2) 7/4(2)  eq: 0.027 
 Player: Opponent:  55.62% (G:0.00% B:0.00%) 44.38% (G:0.00% B:0.00%)  

3.  4ply  8/5(2) 7/4 6/3  eq: 0.032 (0.005) 
 Player: Opponent:  55.40% (G:0.00% B:0.00%) 44.60% (G:0.00% B:0.00%)  

4.  4ply  8/5(2) 6/3 4/1  eq: 0.068 (0.042) 
 Player: Opponent:  53.72% (G:0.00% B:0.00%) 46.28% (G:0.00% B:0.00%)  

5.  4ply  8/5 6/3(2) 4/1  eq: 0.136 (0.109) 
 Player: Opponent:  50.36% (G:0.00% B:0.00%) 49.64% (G:0.00% B:0.00%)  



42: 14/12 10/6 

XGID=BBBCBBAAdbfab:1:1:1:42:0:0:0:11:3 
Pip=7065 



1.  4ply  14/12 10/6  eq: 0.112 
 Player: Opponent:  38.43% (G:0.00% B:0.00%) 61.57% (G:0.00% B:0.00%)  

2.  4ply  14/8  eq: 0.128 (0.017) 
 Player: Opponent:  37.68% (G:0.00% B:0.00%) 62.32% (G:0.00% B:0.00%)  

3.  4ply  10/4  eq: 0.150 (0.038) 
 Player: Opponent:  36.81% (G:0.00% B:0.00%) 63.19% (G:0.00% B:0.00%)  

4.  4ply  10/8 6/2  eq: 0.233 (0.121) 
 Player: Opponent:  33.38% (G:0.00% B:0.00%) 66.62% (G:0.00% B:0.00%)  

5.  3ply  14/10 6/4  eq: 0.173 (0.062) 
 Player: Opponent:  36.03% (G:0.00% B:0.00%) 63.97% (G:0.00% B:0.00%)  



62: 6/Off 2/Off 

XGID=BBBCBCAdbfab:1:1:1:62:0:0:0:11:3 
Pip=6465 



1.  4ply  6/Off 2/Off  eq: +0.127 
 Player: Opponent:  62.24% (G:0.00% B:0.00%) 37.76% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/2  eq: +0.080 (0.046) 
 Player: Opponent:  60.19% (G:0.00% B:0.00%) 39.81% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/3  eq: +0.048 (0.079) 
 Player: Opponent:  58.81% (G:0.00% B:0.00%) 41.19% (G:0.00% B:0.00%)  

4.  3ply  6/Off 3/1  eq: +0.048 (0.079) 
 Player: Opponent:  58.78% (G:0.00% B:0.00%) 41.22% (G:0.00% B:0.00%)  

5.  3ply  6/4 6/Off  eq: +0.033 (0.094) 
 Player: Opponent:  58.12% (G:0.00% B:0.00%) 41.88% (G:0.00% B:0.00%)  



66: 12/Off 6/Off(2) 

XGID=BBBCBCAcbfaa:1:1:1:66:0:0:0:11:3 
Pip=6457 



1.  3ply  12/Off 6/Off(2)  eq: +0.928 
 Player: Opponent:  81.50% (G:0.00% B:0.00%) 18.50% (G:0.00% B:0.00%)  



43: 4/Off 3/Off 

XGID=BBBCBAcbfaa:1:1:1:43:0:0:0:11:3 
Pip=4057 



1.  4ply  4/Off 3/Off  eq: 1.000 
 Player: Opponent:  16.20% (G:0.00% B:0.00%) 83.80% (G:0.00% B:0.00%)  

2.  4ply  4/1 4/Off  eq: 1.000 
 Player: Opponent:  15.14% (G:0.00% B:0.00%) 84.86% (G:0.00% B:0.00%)  

3.  4ply  6/2 4/1  eq: 1.000 
 Player: Opponent:  12.33% (G:0.00% B:0.00%) 87.67% (G:0.00% B:0.00%)  

4.  1ply  6/3 4/Off  eq: 1.000 
 Player: Opponent:  14.77% (G:0.00% B:0.00%) 85.23% (G:0.00% B:0.00%)  

5.  1ply  5/2 4/Off  eq: 1.000 
 Player: Opponent:  13.54% (G:0.00% B:0.00%) 86.46% (G:0.00% B:0.00%)  



Double/Pass 

XGID=BBBCBAcbea:1:1:1:00:0:0:0:11:3 
Pip=4050 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
83.80% (G:0.00% B:0.00%) 
83.80% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
16.20% (G:0.00% B:0.00%) 
16.20% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.676 
+1.382 
Cubeful Equities 
No redouble:  +0.928 (0.072)  
Redouble/Take:  +1.263 (+0.263)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


Wins 2pts. 



