54: 24/20 13/8 

XGID=bECeEceB:0:0:1:54:6:0:0:11:3 
Pip=167167 



1.  Book^{1}  24/20 13/8  eq: 0.175 
 Player: Opponent:  50.42% (G:13.63% B:0.68%) 49.58% (G:13.24% B:0.47%)  

2.  Book^{1}  24/15  eq: 0.186 (0.012) 
 Player: Opponent:  50.45% (G:11.75% B:0.51%) 49.55% (G:13.33% B:0.46%)  

3.  Book^{1}  13/9 13/8  eq: 0.189 (0.014) 
 Player: Opponent:  49.90% (G:14.80% B:0.75%) 50.10% (G:13.59% B:0.64%)  

4.  Book^{1}  13/4  eq: 0.257 (0.082) 
 Player: Opponent:  48.40% (G:13.71% B:0.67%) 51.60% (G:14.13% B:0.70%)  

5.  3ply  13/9 8/3  eq: 0.337 (0.162) 
 Player: Opponent:  46.64% (G:13.37% B:0.72%) 53.36% (G:15.73% B:1.03%)  


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



No double 

XGID=bEDeDceAA:0:0:1:00:6:0:0:11:3 
Pip=158167 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
49.37% (G:12.72% B:0.48%) 
49.43% (G:12.92% B:0.49%) 
Opponent Winning Chances: 
50.63% (G:13.29% B:0.62%) 
50.57% (G:13.49% B:0.68%) 
Cubeless Equities 
0.016 
+0.071 
Cubeful Equities 
No double:  +0.152  
Double/Take:  +0.019 (0.133)  
Double/Pass:  +1.000 (+0.848) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.9% 


42: 8/4 6/4 

XGID=bEDeDceAA:0:0:1:42:6:0:0:11:3 
Pip=158167 



1.  3ply  8/4 6/4  eq: +0.100 
 Player: Opponent:  48.43% (G:11.75% B:0.42%) 51.57% (G:12.96% B:0.58%)  

2.  3ply  24/22 13/9  eq: 0.054 (0.155) 
 Player: Opponent:  44.29% (G:10.96% B:0.43%) 55.71% (G:15.89% B:0.72%)  

3.  3ply  24/20 6/4  eq: 0.063 (0.163) 
 Player: Opponent:  44.66% (G:9.36% B:0.32%) 55.34% (G:14.77% B:0.61%)  

4.  3ply  24/20 13/11  eq: 0.073 (0.173) 
 Player: Opponent:  44.09% (G:10.11% B:0.41%) 55.91% (G:15.55% B:0.70%)  

5.  3ply  13/11 13/9  eq: 0.077 (0.177) 
 Player: Opponent:  43.67% (G:11.04% B:0.43%) 56.33% (G:16.58% B:1.11%)  



54: 24/20 13/8 

XGID=bEDeDbdAbA:0:0:1:54:6:0:0:11:3 
Pip=158161 



1.  4ply  24/20 13/8  eq: +0.034 
 Player: Opponent:  53.96% (G:12.33% B:0.36%) 46.04% (G:7.59% B:0.25%)  

2.  4ply  24/20 8/3  eq: 0.080 (0.114) 
 Player: Opponent:  50.79% (G:11.86% B:0.35%) 49.21% (G:8.65% B:0.27%)  

3.  2ply  20/11  eq: 0.208 (0.242) 
 Player: Opponent:  49.65% (G:11.76% B:0.53%) 50.35% (G:14.25% B:0.49%)  

4.  2ply  24/15  eq: 0.363 (0.396) 
 Player: Opponent:  46.30% (G:10.14% B:0.44%) 53.70% (G:17.49% B:0.60%)  

5.  2ply  20/15 13/9  eq: 0.387 (0.421) 
 Player: Opponent:  45.66% (G:11.84% B:0.62%) 54.34% (G:17.87% B:0.90%)  



43: 24/21 24/20 

XGID=bEEeCbdBb:0:0:1:43:6:0:0:11:3 
Pip=149161 



1.  XG Roller+  24/21 13/9  eq: 0.051 
 Player: Opponent:  45.64% (G:7.77% B:0.25%) 54.36% (G:13.37% B:0.41%)  

2.  XG Roller+  24/21 24/20  eq: 0.151 (0.100) 
 Player: Opponent:  43.14% (G:6.22% B:0.20%) 56.86% (G:12.71% B:0.33%)  

3.  4ply  24/20 13/10  eq: 0.066 (0.016) 
 Player: Opponent:  44.55% (G:8.82% B:0.27%) 55.45% (G:13.71% B:0.51%)  

4.  4ply  13/9 6/3  eq: 0.075 (0.025) 
 Player: Opponent:  44.25% (G:8.93% B:0.31%) 55.75% (G:14.18% B:0.68%)  

5.  4ply  24/20 6/3  eq: 0.085 (0.034) 
 Player: Opponent:  44.69% (G:7.68% B:0.23%) 55.31% (G:14.11% B:0.49%)  



62: 8/6 8/2 

XGID=aaEEeCbdBb:0:0:1:62:6:0:0:11:3 
Pip=149154 



1.  4ply  8/6 8/2  eq: 0.005 
 Player: Opponent:  52.48% (G:9.33% B:0.18%) 47.52% (G:5.90% B:0.23%)  

2.  4ply  13/5*  eq: 0.098 (0.093) 
 Player: Opponent:  50.08% (G:10.45% B:0.26%) 49.92% (G:7.75% B:0.26%)  

3.  3ply  13/7 6/4*  eq: 0.167 (0.162) 
 Player: Opponent:  48.46% (G:10.00% B:0.30%) 51.54% (G:8.46% B:0.27%)  

4.  3ply  8/2 6/4*  eq: 0.171 (0.166) 
 Player: Opponent:  48.23% (G:9.61% B:0.29%) 51.77% (G:8.35% B:0.27%)  

5.  3ply  13/7 8/6  eq: 0.182 (0.177) 
 Player: Opponent:  47.21% (G:7.85% B:0.20%) 52.79% (G:6.51% B:0.19%)  



63: 13/4 

XGID=AaaFCeCbdBb:0:0:1:63:6:0:0:11:3 
Pip=141154 



1.  4ply  13/10 13/7  eq: 0.041 (+0.007) 
 Player: Opponent:  45.72% (G:8.66% B:0.33%) 54.28% (G:14.83% B:0.68%)  

2.  4ply  13/7 6/3  eq: 0.048 
 Player: Opponent:  45.83% (G:7.72% B:0.27%) 54.17% (G:13.83% B:0.49%)  

3.  4ply  20/14 13/10  eq: 0.050 (0.002) 
 Player: Opponent:  46.20% (G:6.73% B:0.24%) 53.80% (G:13.44% B:0.32%)  

4.  4ply  13/4  eq: 0.068 (0.020) 
 Player: Opponent:  45.16% (G:6.91% B:0.21%) 54.84% (G:12.19% B:0.28%)  

5.  4ply  20/11  eq: 0.075 (0.027) 
 Player: Opponent:  45.88% (G:5.51% B:0.16%) 54.12% (G:12.68% B:0.21%)  



52: 13/6 

XGID=AaaFCdCbdBc:0:0:1:52:6:0:0:11:3 
Pip=141145 



1.  4ply  13/6  eq: 0.074 
 Player: Opponent:  50.44% (G:8.07% B:0.12%) 49.56% (G:5.86% B:0.22%)  

2.  4ply  8/1  eq: 0.096 (0.022) 
 Player: Opponent:  49.93% (G:8.69% B:0.12%) 50.07% (G:6.54% B:0.26%)  

3.  3ply  13/8 6/4*  eq: 0.240 (0.166) 
 Player: Opponent:  46.54% (G:9.35% B:0.25%) 53.46% (G:8.99% B:0.29%)  

4.  3ply  13/11 6/1  eq: 0.299 (0.225) 
 Player: Opponent:  44.29% (G:7.78% B:0.17%) 55.71% (G:7.95% B:0.27%)  

5.  2ply  13/11 8/3  eq: 0.345 (0.271) 
 Player: Opponent:  42.98% (G:7.75% B:0.18%) 57.02% (G:8.94% B:0.35%)  



No double 

XGID=AaaGCdBbdBc:0:0:1:00:6:0:0:11:3 
Pip=134145 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
49.56% (G:5.86% B:0.22%) 
49.59% (G:6.11% B:0.23%) 
Opponent Winning Chances: 
50.44% (G:8.07% B:0.12%) 
50.41% (G:8.30% B:0.14%) 
Cubeless Equities 
0.027 
+0.005 
Cubeful Equities 
No double:  +0.074  
Double/Take:  0.103 (0.176)  
Double/Pass:  +1.000 (+0.926) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.8% 


53: 6/1 4/1 

XGID=AaaGCdBbdBc:0:0:1:53:6:0:0:11:3 
Pip=134145 



1.  4ply  20/15 13/10  eq: +0.041 
 Player: Opponent:  48.38% (G:8.39% B:0.35%) 51.62% (G:13.70% B:0.40%)  

2.  4ply  8/3 6/3  eq: +0.030 (0.011) 
 Player: Opponent:  47.63% (G:8.61% B:0.29%) 52.37% (G:12.85% B:0.35%)  

3.  4ply  13/8 6/3  eq: +0.025 (0.015) 
 Player: Opponent:  47.64% (G:8.16% B:0.29%) 52.36% (G:12.48% B:0.30%)  

4.  4ply  6/1 4/1  eq: +0.021 (0.020) 
 Player: Opponent:  47.57% (G:7.81% B:0.17%) 52.43% (G:11.85% B:0.25%)  

5.  4ply  20/15 6/3  eq: +0.008 (0.033) 
 Player: Opponent:  47.84% (G:6.93% B:0.23%) 52.16% (G:12.69% B:0.25%)  



41: 6/1 

XGID=AaaGCdBbcBbb:0:0:1:41:6:0:0:11:3 
Pip=134137 



1.  4ply  6/1  eq: 0.121 (+0.006) 
 Player: Opponent:  49.15% (G:8.15% B:0.10%) 50.85% (G:6.52% B:0.19%)  

2.  4ply  6/2 6/5*  eq: 0.127 
 Player: Opponent:  49.39% (G:13.45% B:0.30%) 50.61% (G:9.42% B:0.24%)  

3.  4ply  8/3  eq: 0.172 (0.045) 
 Player: Opponent:  47.66% (G:7.63% B:0.12%) 52.34% (G:6.75% B:0.19%)  

4.  3ply  8/7 6/2  eq: 0.363 (0.236) 
 Player: Opponent:  43.12% (G:8.22% B:0.22%) 56.88% (G:9.17% B:0.21%)  

5.  2ply  6/5* 5/1  eq: 0.395 (0.268) 
 Player: Opponent:  42.62% (G:8.49% B:0.21%) 57.38% (G:11.80% B:0.34%)  



No double 

XGID=AAaaFCdBbcBbb:0:0:1:00:6:0:0:11:3 
Pip=129137 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.85% (G:6.52% B:0.19%) 
50.85% (G:6.57% B:0.19%) 
Opponent Winning Chances: 
49.15% (G:8.15% B:0.10%) 
49.15% (G:8.22% B:0.10%) 
Cubeless Equities 
+0.005 
+0.065 
Cubeful Equities 
No double:  +0.121  
Double/Take:  0.038 (0.159)  
Double/Pass:  +1.000 (+0.879) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.3% 


54: 13/4 

XGID=AAaaFCdBbcBbb:0:0:1:54:6:0:0:11:3 
Pip=129137 



1.  XG Roller+  20/11  eq: +0.126 
 Player: Opponent:  51.21% (G:7.24% B:0.19%) 48.79% (G:10.39% B:0.11%)  

2.  XG Roller+  13/4  eq: +0.089 (0.038) 
 Player: Opponent:  49.53% (G:8.05% B:0.19%) 50.47% (G:10.90% B:0.16%)  

3.  4ply  13/9 13/8  eq: +0.110 (0.016) 
 Player: Opponent:  49.54% (G:9.57% B:0.24%) 50.46% (G:12.21% B:0.30%)  

4.  4ply  20/15 13/9  eq: +0.109 (0.018) 
 Player: Opponent:  50.61% (G:7.50% B:0.20%) 49.39% (G:11.82% B:0.24%)  

5.  4ply  20/16 13/8  eq: +0.105 (0.022) 
 Player: Opponent:  50.38% (G:6.97% B:0.16%) 49.62% (G:10.27% B:0.14%)  



64: 8/2 6/2 

XGID=AAaaFCcBbcBcb:0:0:1:64:6:0:0:11:3 
Pip=129128 



1.  3ply  8/2 6/2  eq: 0.219 
 Player: Opponent:  47.18% (G:8.51% B:0.12%) 52.82% (G:8.94% B:0.20%)  

2.  2ply  13/3  eq: 0.609 (0.390) 
 Player: Opponent:  35.37% (G:5.07% B:0.11%) 64.63% (G:8.16% B:0.26%)  

3.  2ply  8/2 8/4*  eq: 0.677 (0.458) 
 Player: Opponent:  38.50% (G:9.63% B:0.23%) 61.50% (G:17.91% B:0.59%)  

4.  1ply  13/7 6/2  eq: 0.813 (0.594) 
 Player: Opponent:  34.94% (G:7.03% B:0.27%) 65.06% (G:16.29% B:0.72%)  

5.  1ply  13/9 8/2  eq: 0.970 (0.751) 
 Player: Opponent:  32.45% (G:6.79% B:0.26%) 67.55% (G:18.28% B:0.86%)  



No double 

XGID=ACaaEBcBbcBcb:0:0:1:00:6:0:0:11:3 
Pip=119128 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.19% (G:8.63% B:0.24%) 
53.26% (G:8.57% B:0.23%) 
Opponent Winning Chances: 
46.81% (G:8.50% B:0.10%) 
46.74% (G:8.44% B:0.10%) 
Cubeless Equities 
+0.069 
+0.202 
Cubeful Equities 
No double:  +0.224  
Double/Take:  +0.110 (0.114)  
Double/Pass:  +1.000 (+0.776) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.4% 


61: 20/13 

XGID=ACaaEBcBbcBcb:0:0:1:61:6:0:0:11:3 
Pip=119128 



1.  XG Roller+  21/20 13/7  eq: +0.278 
 Player: Opponent:  53.74% (G:10.07% B:0.22%) 46.26% (G:6.94% B:0.13%)  

2.  XG Roller+  20/13  eq: +0.196 (0.083) 
 Player: Opponent:  52.48% (G:8.68% B:0.21%) 47.52% (G:9.64% B:0.08%)  

3.  4ply  13/6  eq: +0.177 (0.101) 
 Player: Opponent:  50.79% (G:11.40% B:0.28%) 49.21% (G:12.86% B:0.23%)  

4.  4ply  21/20 8/2  eq: +0.174 (0.104) 
 Player: Opponent:  50.59% (G:9.72% B:0.18%) 49.41% (G:7.84% B:0.17%)  

5.  3ply  21/15 4/3  eq: +0.115 (0.163) 
 Player: Opponent:  50.34% (G:9.66% B:0.29%) 49.66% (G:14.36% B:0.23%)  



43: 8/4* 4/1 

XGID=ACaEBdBbcBcb:0:0:1:43:6:0:0:11:3 
Pip=119121 



1.  3ply  8/4* 4/1  eq: 0.144 
 Player: Opponent:  49.03% (G:9.89% B:0.07%) 50.97% (G:8.36% B:0.17%)  

2.  2ply  6/3 6/2  eq: 0.373 (0.229) 
 Player: Opponent:  42.29% (G:6.79% B:0.08%) 57.71% (G:9.10% B:0.27%)  

3.  2ply  8/1  eq: 0.466 (0.322) 
 Player: Opponent:  38.97% (G:6.42% B:0.04%) 61.03% (G:9.03% B:0.21%)  

4.  2ply  13/6  eq: 0.553 (0.409) 
 Player: Opponent:  35.80% (G:4.53% B:0.04%) 64.20% (G:7.62% B:0.23%)  

5.  2ply  20/13  eq: 0.620 (0.476) 
 Player: Opponent:  39.93% (G:8.95% B:0.26%) 60.07% (G:18.24% B:0.30%)  



No double 

XGID=aBCEAdBbcBcb:0:0:1:00:6:0:0:11:3 
Pip=112125 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.12% (G:8.44% B:0.22%) 
51.16% (G:8.50% B:0.22%) 
Opponent Winning Chances: 
48.88% (G:10.48% B:0.05%) 
48.84% (G:10.58% B:0.05%) 
Cubeless Equities 
+0.008 
+0.083 
Cubeful Equities 
No double:  +0.140  
Double/Take:  +0.005 (0.136)  
Double/Pass:  +1.000 (+0.860) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.0% 


42: Bar/21 4/2 

XGID=aBCEAdBbcBcb:0:0:1:42:6:0:0:11:3 
Pip=112125 



1.  4ply  Bar/21 4/2  eq: +0.117 
 Player: Opponent:  49.79% (G:9.27% B:0.20%) 50.21% (G:11.29% B:0.09%)  

2.  4ply  Bar/21 6/4  eq: +0.071 (0.046) 
 Player: Opponent:  48.38% (G:8.87% B:0.20%) 51.62% (G:10.81% B:0.08%)  

3.  4ply  Bar/21 13/11  eq: +0.009 (0.108) 
 Player: Opponent:  47.00% (G:11.60% B:0.39%) 53.00% (G:17.62% B:0.21%)  

4.  3ply  Bar/21 8/6  eq: 0.055 (0.172) 
 Player: Opponent:  45.52% (G:9.92% B:0.32%) 54.48% (G:17.29% B:0.16%)  



62: 13/7 6/4* 

XGID=BCaEAdBbcBbab:0:0:1:62:6:0:0:11:3 
Pip=112119 



1.  XG Roller+  8/2 6/4*  eq: 0.421 
 Player: Opponent:  42.40% (G:9.85% B:0.12%) 57.60% (G:12.74% B:0.27%)  

2.  XG Roller+  13/7 6/4*  eq: 0.427 (0.007) 
 Player: Opponent:  44.09% (G:13.81% B:0.15%) 55.91% (G:18.24% B:0.77%)  

3.  2ply  20/14 6/4*  eq: 0.586 (0.165) 
 Player: Opponent:  44.29% (G:15.75% B:0.26%) 55.71% (G:25.14% B:1.65%)  

4.  2ply  13/11 8/2  eq: 0.659 (0.239) 
 Player: Opponent:  35.86% (G:6.52% B:0.06%) 64.14% (G:11.65% B:0.30%)  

5.  2ply  13/11 13/7  eq: 0.695 (0.275) 
 Player: Opponent:  36.00% (G:7.63% B:0.06%) 64.00% (G:13.66% B:0.42%)  



No double 

XGID=aBCADAAdAbcBbab:0:0:1:00:6:0:0:11:3 
Pip=104123 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
56.11% (G:18.61% B:0.79%) 
56.23% (G:18.31% B:0.75%) 
Opponent Winning Chances: 
43.89% (G:14.10% B:0.16%) 
43.77% (G:14.19% B:0.17%) 
Cubeless Equities 
+0.176 
+0.459 
Cubeful Equities 
No double:  +0.336 (0.095)  
Double/Take:  +0.431  
Double/Pass:  +1.000 (+0.569) 

Best Cube action: Double / Take 


41: Bar/21* 13/12* 

XGID=aBCADAAdAbcBbab:0:0:1:41:6:0:0:11:3 
Pip=104123 



1.  3ply  Bar/21* 13/12*  eq: +1.074 
 Player: Opponent:  75.58% (G:37.01% B:1.87%) 24.42% (G:7.19% B:0.18%)  

2.  2ply  Bar/21* 2/1  eq: +0.783 (0.291) 
 Player: Opponent:  67.13% (G:19.54% B:0.61%) 32.87% (G:6.85% B:0.09%)  

3.  2ply  Bar/21* 21/20  eq: +0.688 (0.386) 
 Player: Opponent:  64.89% (G:21.13% B:0.82%) 35.11% (G:10.66% B:0.16%)  

4.  1ply  Bar/21* 8/7  eq: +0.578 (0.497) 
 Player: Opponent:  59.42% (G:21.88% B:0.89%) 40.58% (G:17.11% B:0.60%)  

5.  1ply  Bar/21* 4/3  eq: 0.006 (1.081) 
 Player: Opponent:  46.95% (G:13.08% B:0.44%) 53.05% (G:25.91% B:1.04%)  



64: Cannot Move 

XGID=BCaDAAcabcBbabB:0:0:1:64:6:0:0:11:3 
Pip=137118 



1.  4ply  Cannot Move  eq: 1.390 
 Player: Opponent:  13.98% (G:2.57% B:0.07%) 86.02% (G:54.87% B:3.37%)  



32: 21/18* 12/10 

XGID=BCaDAAcabcBbabB:0:0:1:32:6:0:0:11:3 
Pip=137118 



1.  4ply  21/18* 13/11  eq: +1.329 
 Player: Opponent:  84.03% (G:50.01% B:2.89%) 15.97% (G:3.63% B:0.14%)  

2.  4ply  21/18* 4/2  eq: +1.319 (0.011) 
 Player: Opponent:  83.48% (G:49.60% B:2.77%) 16.52% (G:3.58% B:0.13%)  

3.  4ply  21/18* 6/4  eq: +1.317 (0.013) 
 Player: Opponent:  83.84% (G:48.92% B:2.77%) 16.16% (G:3.28% B:0.11%)  

4.  4ply  21/18* 12/10  eq: +1.315 (0.014) 
 Player: Opponent:  83.75% (G:49.11% B:2.68%) 16.25% (G:3.43% B:0.11%)  

5.  4ply  21/18* 8/6  eq: +1.303 (0.026) 
 Player: Opponent:  82.14% (G:49.77% B:2.85%) 17.86% (G:4.60% B:0.19%)  



61: Cannot Move 

XGID=BCDaAcabcBbabC:0:0:1:61:6:0:0:11:3 
Pip=155113 



1.  4ply  Cannot Move  eq: 1.557 
 Player: Opponent:  10.61% (G:1.60% B:0.04%) 89.39% (G:65.81% B:5.37%)  



62: 10/2 

XGID=BCDaAcabcBbabC:0:0:1:62:6:0:0:11:3 
Pip=155113 



1.  4ply  10/2  eq: +1.619 
 Player: Opponent:  91.85% (G:68.98% B:5.13%) 8.15% (G:1.00% B:0.04%)  

2.  4ply  13/11 8/2  eq: +1.607 (0.012) 
 Player: Opponent:  90.61% (G:69.80% B:5.06%) 9.39% (G:1.92% B:0.10%)  

3.  4ply  8/2 6/4  eq: +1.595 (0.024) 
 Player: Opponent:  90.26% (G:68.41% B:4.83%) 9.74% (G:1.68% B:0.06%)  

4.  4ply  8/6 8/2  eq: +1.594 (0.025) 
 Player: Opponent:  90.37% (G:68.09% B:5.01%) 9.63% (G:1.46% B:0.06%)  

5.  4ply  18/16 8/2  eq: +1.497 (0.123) 
 Player: Opponent:  89.64% (G:61.13% B:2.91%) 10.36% (G:1.90% B:0.09%)  



42: Cannot Move 

XGID=BCDaAcbcBbbbC:0:0:1:42:6:0:0:11:3 
Pip=155105 



1.  4ply  Cannot Move  eq: 1.710 
 Player: Opponent:  7.17% (G:0.74% B:0.02%) 92.83% (G:75.32% B:7.20%)  



22: 13/9(2) 

XGID=BCDaAcbcBbbbC:0:0:1:22:6:0:0:11:3 
Pip=155105 



1.  4ply  13/9(2)  eq: +1.726 
 Player: Opponent:  93.99% (G:75.86% B:6.48%) 6.01% (G:0.58% B:0.02%)  

2.  4ply  13/9 8/4  eq: +1.724 (0.002) 
 Player: Opponent:  93.40% (G:76.64% B:6.31%) 6.60% (G:0.96% B:0.04%)  

3.  4ply  13/11 13/7  eq: +1.716 (0.010) 
 Player: Opponent:  93.74% (G:75.46% B:6.20%) 6.26% (G:0.65% B:0.03%)  

4.  4ply  13/7 8/6  eq: +1.715 (0.011) 
 Player: Opponent:  93.15% (G:75.89% B:6.58%) 6.85% (G:0.95% B:0.04%)  

5.  4ply  13/11 13/9 8/6  eq: +1.714 (0.012) 
 Player: Opponent:  92.85% (G:75.96% B:6.68%) 7.15% (G:1.29% B:0.10%)  



43: Bar/22 

XGID=BCDaAabbcBbbbC:0:0:1:43:6:0:0:11:3 
Pip=15597 



1.  3ply  Bar/22  eq: 1.751 
 Player: Opponent:  6.20% (G:0.71% B:0.03%) 93.80% (G:78.01% B:7.33%)  



61: 18/17* 9/3* 

XGID=BCDaAabbcBbAbbB:0:0:1:61:6:0:0:11:3 
Pip=15297 



1.  4ply  18/17* 9/3*  eq: +1.808 
 Player: Opponent:  94.17% (G:80.45% B:9.76%) 5.83% (G:0.84% B:0.04%)  

2.  4ply  9/3* 3/2  eq: +1.719 (0.089) 
 Player: Opponent:  93.32% (G:76.71% B:5.93%) 6.68% (G:0.66% B:0.03%)  

3.  4ply  13/12 9/3*  eq: +1.714 (0.094) 
 Player: Opponent:  92.81% (G:76.04% B:6.66%) 7.19% (G:1.32% B:0.07%)  

4.  4ply  18/17* 13/7  eq: +1.694 (0.114) 
 Player: Opponent:  91.78% (G:73.68% B:7.21%) 8.22% (G:0.56% B:0.02%)  

5.  3ply  9/3* 4/3  eq: +1.673 (0.135) 
 Player: Opponent:  91.23% (G:74.84% B:7.58%) 8.77% (G:1.95% B:0.10%)  



31: Bar/22* 

XGID=BCDaaabcBbabbD:0:0:1:31:6:0:0:11:3 
Pip=17290 



1.  3ply  Bar/22*  eq: 1.574 
 Player: Opponent:  10.82% (G:1.71% B:0.08%) 89.18% (G:66.50% B:6.02%)  



61: Cannot Move 

XGID=aBCDaaabcBbAbbC:0:0:1:61:6:0:0:11:3 
Pip=169112 



1.  4ply  Cannot Move  eq: +1.398 
 Player: Opponent:  84.78% (G:54.78% B:3.60%) 15.22% (G:2.47% B:0.10%)  



43: Bar/22 

XGID=aBCDaaabcBbAbbC:0:0:1:43:6:0:0:11:3 
Pip=169112 



1.  3ply  Bar/22  eq: 1.177 
 Player: Opponent:  20.53% (G:2.35% B:0.07%) 79.47% (G:38.44% B:0.82%)  



No double 

XGID=aBCDaaabcBbBbbB:0:0:1:00:6:0:0:11:3 
Pip=166112 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
80.11% (G:38.50% B:0.89%) 
80.06% (G:38.55% B:0.89%) 
Opponent Winning Chances: 
19.89% (G:2.47% B:0.04%) 
19.94% (G:2.48% B:0.04%) 
Cubeless Equities 
+0.958 
+2.046 
Cubeful Equities 
No double:  +1.184  
Double/Take:  +1.985 (+0.802)  
Double/Pass:  +1.000 (0.184) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 18.6% 


41: Bar/21 9/8 

XGID=aBCDaaabcBbBbbB:0:0:1:41:6:0:0:11:3 
Pip=166112 



1.  4ply  Bar/21 17/16  eq: +1.169 
 Player: Opponent:  79.93% (G:37.16% B:0.66%) 20.07% (G:1.95% B:0.05%)  

2.  4ply  Bar/20  eq: +1.169 (0.000) 
 Player: Opponent:  79.73% (G:37.35% B:0.70%) 20.27% (G:1.99% B:0.05%)  

3.  4ply  Bar/21 13/12  eq: +1.167 (0.002) 
 Player: Opponent:  79.74% (G:37.10% B:0.69%) 20.26% (G:1.95% B:0.05%)  

4.  4ply  Bar/21 9/8  eq: +1.166 (0.003) 
 Player: Opponent:  79.79% (G:36.97% B:0.69%) 20.21% (G:1.91% B:0.04%)  

5.  4ply  Bar/21 8/7  eq: +1.116 (0.053) 
 Player: Opponent:  77.65% (G:36.72% B:0.71%) 22.35% (G:3.55% B:0.19%)  



43: Bar/22 

XGID=BCaDaaccBbBbbB:0:0:1:43:6:0:0:11:3 
Pip=166107 



1.  3ply  Bar/22  eq: 1.151 
 Player: Opponent:  20.51% (G:1.99% B:0.05%) 79.49% (G:35.56% B:0.62%)  



No double 

XGID=BCaDaaccBbCbbA:0:0:1:00:6:0:0:11:3 
Pip=163107 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
80.40% (G:35.67% B:0.68%) 
80.39% (G:35.75% B:0.68%) 
Opponent Winning Chances: 
19.60% (G:1.75% B:0.02%) 
19.61% (G:1.76% B:0.02%) 
Cubeless Equities 
+0.941 
+2.001 
Cubeful Equities 
No double:  +1.162  
Double/Take:  +1.934 (+0.772)  
Double/Pass:  +1.000 (0.162) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 17.3% 


52: 21/14 

XGID=BCaDaaccBbCbbA:0:0:1:52:6:0:0:11:3 
Pip=163107 



1.  4ply  21/16 17/15  eq: +1.149 (+0.002) 
 Player: Opponent:  79.60% (G:35.06% B:0.56%) 20.40% (G:1.86% B:0.04%)  

2.  4ply  17/12 8/6  eq: +1.147 
 Player: Opponent:  79.14% (G:35.53% B:0.58%) 20.86% (G:1.97% B:0.05%)  

3.  4ply  21/16 8/6  eq: +1.145 (0.002) 
 Player: Opponent:  79.32% (G:35.05% B:0.58%) 20.68% (G:1.85% B:0.04%)  

4.  4ply  17/10  eq: +1.144 (0.003) 
 Player: Opponent:  79.21% (G:34.83% B:0.57%) 20.79% (G:2.04% B:0.05%)  

5.  4ply  21/14  eq: +1.142 (0.005) 
 Player: Opponent:  79.30% (G:34.63% B:0.57%) 20.70% (G:1.83% B:0.04%)  



32: Bar/20 

XGID=BCDaaaccBbCbbA:0:0:1:32:6:0:0:11:3 
Pip=163100 



1.  4ply  Bar/20  eq: 1.087 
 Player: Opponent:  21.90% (G:1.94% B:0.02%) 78.10% (G:29.05% B:0.49%)  

2.  4ply  Bar/22 6/4  eq: 1.141 (0.054) 
 Player: Opponent:  20.54% (G:1.77% B:0.02%) 79.46% (G:34.30% B:0.66%)  

3.  4ply  Bar/22 20/18  eq: 1.444 (0.357) 
 Player: Opponent:  12.92% (G:1.65% B:0.04%) 87.08% (G:59.34% B:2.48%)  



No double 

XGID=BCDaaaccCbCbb:0:0:1:00:6:0:0:11:3 
Pip=158100 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
78.10% (G:29.05% B:0.49%) 
78.11% (G:29.10% B:0.48%) 
Opponent Winning Chances: 
21.90% (G:1.94% B:0.02%) 
21.89% (G:1.96% B:0.02%) 
Cubeless Equities 
+0.828 
+1.752 
Cubeful Equities 
No double:  +1.087  
Double/Take:  +1.677 (+0.589)  
Double/Pass:  +1.000 (0.087) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 12.9% 


32: 14/11 13/11 

XGID=BCDaaaccCbCbb:0:0:1:32:6:0:0:11:3 
Pip=158100 



1.  4ply  14/11 13/11  eq: +1.087 
 Player: Opponent:  78.13% (G:28.85% B:0.43%) 21.87% (G:1.83% B:0.04%)  

2.  4ply  17/14 8/6  eq: +1.084 (0.003) 
 Player: Opponent:  77.57% (G:29.27% B:0.47%) 22.43% (G:2.20% B:0.05%)  

3.  4ply  17/14 6/4  eq: +1.074 (0.013) 
 Player: Opponent:  76.83% (G:28.57% B:0.44%) 23.17% (G:2.40% B:0.05%)  

4.  4ply  13/8  eq: +1.068 (0.019) 
 Player: Opponent:  76.21% (G:28.51% B:0.48%) 23.79% (G:2.56% B:0.06%)  

5.  4ply  17/14 13/11  eq: +1.062 (0.025) 
 Player: Opponent:  77.02% (G:27.06% B:0.43%) 22.98% (G:2.33% B:0.05%)  



65: 22/11 

XGID=BCDabccCbCbb:0:0:1:65:6:0:0:11:3 
Pip=15895 



1.  4ply  20/9  eq: 1.078 
 Player: Opponent:  21.99% (G:1.66% B:0.02%) 78.01% (G:27.21% B:0.43%)  

2.  4ply  22/11  eq: 1.080 (0.002) 
 Player: Opponent:  22.24% (G:1.89% B:0.02%) 77.76% (G:27.74% B:0.43%)  

3.  4ply  22/16 20/15  eq: 1.120 (0.042) 
 Player: Opponent:  21.68% (G:1.85% B:0.02%) 78.32% (G:31.92% B:0.59%)  

4.  4ply  22/16 6/1  eq: 1.131 (0.053) 
 Player: Opponent:  17.27% (G:1.15% B:0.01%) 82.73% (G:29.06% B:0.45%)  



No double 

XGID=BCDaAbccCbBbb:0:0:1:00:6:0:0:11:3 
Pip=14795 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
77.76% (G:27.74% B:0.43%) 
77.73% (G:27.89% B:0.43%) 
Opponent Winning Chances: 
22.24% (G:1.89% B:0.02%) 
22.27% (G:1.92% B:0.02%) 
Cubeless Equities 
+0.808 
+1.709 
Cubeful Equities 
No double:  +1.080  
Double/Take:  +1.632 (+0.552)  
Double/Pass:  +1.000 (0.080) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 12.7% 


44: 17/13 11/7(2) 8/4 

XGID=BCDaAbccCbBbb:0:0:1:44:6:0:0:11:3 
Pip=14795 



1.  4ply  17/13 11/7(2) 8/4  eq: +1.063 
 Player: Opponent:  79.53% (G:23.78% B:0.23%) 20.47% (G:1.18% B:0.02%)  

2.  4ply  11/7(2) 8/4 6/2  eq: +1.039 (0.024) 
 Player: Opponent:  76.11% (G:24.40% B:0.26%) 23.89% (G:1.76% B:0.04%)  

3.  4ply  17/13 8/4(3)  eq: +1.033 (0.031) 
 Player: Opponent:  75.20% (G:24.33% B:0.27%) 24.80% (G:1.88% B:0.04%)  

4.  4ply  8/4(3) 6/2  eq: +1.031 (0.032) 
 Player: Opponent:  73.89% (G:26.30% B:0.29%) 26.11% (G:2.63% B:0.06%)  

5.  4ply  17/9 11/7(2)  eq: +1.024 (0.039) 
 Player: Opponent:  77.69% (G:20.99% B:0.22%) 22.31% (G:1.59% B:0.03%)  



64: 20/10 

XGID=BCDAabbcCcBbb:0:0:1:64:6:0:0:11:3 
Pip=14779 



1.  4ply  20/10  eq: 1.052 
 Player: Opponent:  20.00% (G:0.98% B:0.01%) 80.00% (G:22.08% B:0.24%)  

2.  4ply  20/14 11/7  eq: 1.107 (0.054) 
 Player: Opponent:  18.94% (G:1.00% B:0.01%) 81.06% (G:27.77% B:0.30%)  

3.  4ply  20/16 11/5  eq: 1.117 (0.064) 
 Player: Opponent:  18.82% (G:0.98% B:0.01%) 81.18% (G:28.85% B:0.33%)  

4.  4ply  11/5 6/2  eq: 1.137 (0.085) 
 Player: Opponent:  14.86% (G:0.64% B:0.01%) 85.14% (G:27.15% B:0.29%)  

5.  4ply  11/1  eq: 1.144 (0.092) 
 Player: Opponent:  13.50% (G:0.52% B:0.00%) 86.50% (G:26.39% B:0.28%)  



No double 

XGID=BCDAAabbcBcBbb:0:0:1:00:6:0:0:11:3 
Pip=13779 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
80.00% (G:22.08% B:0.24%) 
80.06% (G:21.96% B:0.23%) 
Opponent Winning Chances: 
20.00% (G:0.98% B:0.01%) 
19.94% (G:0.96% B:0.01%) 
Cubeless Equities 
+0.805 
+1.674 
Cubeful Equities 
No double:  +1.052  
Double/Take:  +1.597 (+0.545)  
Double/Pass:  +1.000 (0.052) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 8.7% 


44: 13/9 8/4(2) 6/2 

XGID=BCDAAabbcBcBbb:0:0:1:44:6:0:0:11:3 
Pip=13779 



1.  3ply  13/9 8/4(2) 6/2  eq: +1.009 
 Player: Opponent:  74.18% (G:25.08% B:0.39%) 25.82% (G:2.58% B:0.04%)  

2.  3ply  13/9 6/2(3)  eq: +0.854 (0.155) 
 Player: Opponent:  65.91% (G:18.91% B:0.23%) 34.09% (G:3.76% B:0.05%)  

3.  2ply  8/4(2) 6/2(2)  eq: +0.670 (0.339) 
 Player: Opponent:  61.87% (G:20.61% B:0.28%) 38.13% (G:7.74% B:0.26%)  

4.  2ply  8/4 6/2(3)  eq: +0.545 (0.464) 
 Player: Opponent:  58.26% (G:18.31% B:0.20%) 41.74% (G:8.65% B:0.26%)  

5.  1ply  13/9 8/4 6/2(2)  eq: 0.003 (1.013) 
 Player: Opponent:  46.36% (G:11.01% B:0.13%) 53.64% (G:21.34% B:0.29%)  



53: 11/8 10/5 

XGID=BCDAAabbBeBcb:0:0:1:53:6:0:0:11:3 
Pip=13763 



1.  4ply  11/8 10/5  eq: 1.000 
 Player: Opponent:  21.46% (G:2.22% B:0.07%) 78.54% (G:26.59% B:0.30%)  

2.  4ply  11/6 10/7  eq: 1.025 (0.025) 
 Player: Opponent:  18.33% (G:1.96% B:0.06%) 81.67% (G:25.00% B:0.22%)  

3.  4ply  10/5 6/3  eq: 1.026 (0.026) 
 Player: Opponent:  22.21% (G:2.09% B:0.05%) 77.79% (G:29.73% B:0.33%)  

4.  4ply  11/3  eq: 1.040 (0.040) 
 Player: Opponent:  20.13% (G:2.09% B:0.06%) 79.87% (G:28.55% B:0.27%)  

5.  4ply  10/2  eq: 1.083 (0.083) 
 Player: Opponent:  16.00% (G:1.43% B:0.04%) 84.00% (G:27.69% B:0.22%)  



No double 

XGID=BCADAabbBeBcb:0:0:1:00:6:0:0:11:3 
Pip=12963 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
78.71% (G:26.00% B:0.22%) 
78.27% (G:25.47% B:0.20%) 
Opponent Winning Chances: 
21.29% (G:2.31% B:0.10%) 
21.73% (G:2.23% B:0.10%) 
Cubeless Equities 
+0.803 
+1.662 
Cubeful Equities 
No double:  +0.946 (0.054)  
Double/Take:  +1.600 (+0.600)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


53: 9/1 

XGID=BCADAabbBeBcb:0:0:1:53:6:0:0:11:3 
Pip=12963 



1.  4ply  9/6 7/2  eq: +1.034 (+0.006) 
 Player: Opponent:  78.60% (G:28.09% B:0.42%) 21.40% (G:1.03% B:0.04%)  

2.  4ply  9/1  eq: +1.028 
 Player: Opponent:  81.64% (G:27.25% B:0.15%) 18.36% (G:1.46% B:0.05%)  

3.  4ply  9/4 7/4  eq: +0.989 (0.040) 
 Player: Opponent:  77.29% (G:27.74% B:0.47%) 22.71% (G:1.18% B:0.05%)  

4.  4ply  7/4 7/2  eq: +0.923 (0.105) 
 Player: Opponent:  72.93% (G:27.61% B:0.43%) 27.07% (G:1.72% B:0.06%)  

5.  2ply  7/2 4/1  eq: +0.519 (0.509) 
 Player: Opponent:  58.35% (G:21.34% B:0.39%) 41.65% (G:7.60% B:0.25%)  



11: 8/7 6/5 6/4 

XGID=BCADAbbBeBcc:0:0:1:11:6:0:0:11:3 
Pip=12955 



1.  XG Roller+  8/5 6/5  eq: 1.000 
 Player: Opponent:  20.00% (G:1.50% B:0.04%) 80.00% (G:29.32% B:0.10%)  

2.  XG Roller+  8/7 6/5 6/4  eq: 1.000 
 Player: Opponent:  21.02% (G:1.59% B:0.04%) 78.98% (G:32.63% B:0.14%)  

3.  4ply  8/5 2/1  eq: 1.038 (0.038) 
 Player: Opponent:  18.50% (G:1.40% B:0.02%) 81.50% (G:30.52% B:0.15%)  

4.  4ply  8/7 6/5(2) 2/1  eq: 1.045 (0.045) 
 Player: Opponent:  19.08% (G:1.42% B:0.02%) 80.92% (G:31.96% B:0.17%)  

5.  4ply  8/7 6/4 5/4  eq: 1.059 (0.059) 
 Player: Opponent:  19.15% (G:1.41% B:0.02%) 80.85% (G:32.43% B:0.19%)  



No double 

XGID=BCABBAbbBeBcc:0:0:1:00:6:0:0:11:3 
Pip=12555 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
79.11% (G:33.00% B:0.20%) 
79.20% (G:32.77% B:0.20%) 
Opponent Winning Chances: 
20.89% (G:1.55% B:0.02%) 
20.80% (G:1.54% B:0.02%) 
Cubeless Equities 
+0.886 
+1.877 
Cubeful Equities 
No double:  +1.045  
Double/Take:  +1.812 (+0.766)  
Double/Pass:  +1.000 (0.045) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 5.6% 


63: 7/4 7/1 

XGID=BCABBAbbBeBcc:0:0:1:63:6:0:0:11:3 
Pip=12555 



1.  3ply  7/4 7/1  eq: +1.244 
 Player: Opponent:  87.72% (G:39.51% B:0.20%) 12.28% (G:0.13% B:0.00%)  

2.  2ply  7/1 4/1  eq: +0.806 (0.438) 
 Player: Opponent:  67.87% (G:26.30% B:0.18%) 32.13% (G:2.24% B:0.06%)  



54: 20/11 

XGID=BCABBAbBfBcd:0:0:1:54:6:0:0:11:3 
Pip=12546 



1.  4ply  20/11  eq: 1.204 
 Player: Opponent:  11.32% (G:0.11% B:0.00%) 88.68% (G:37.28% B:0.17%)  

2.  4ply  20/16 20/15  eq: 1.225 (0.021) 
 Player: Opponent:  9.54% (G:0.09% B:0.00%) 90.46% (G:35.95% B:0.12%)  

3.  4ply  20/15 7/3  eq: 1.289 (0.084) 
 Player: Opponent:  10.94% (G:0.10% B:0.00%) 89.06% (G:43.09% B:0.21%)  

4.  4ply  22/13  eq: 1.309 (0.105) 
 Player: Opponent:  8.61% (G:0.04% B:0.00%) 91.39% (G:44.59% B:0.16%)  

5.  4ply  22/18 20/15  eq: 1.339 (0.134) 
 Player: Opponent:  7.93% (G:0.04% B:0.00%) 92.07% (G:46.63% B:0.18%)  



65: 6/1 6/Off 

XGID=BCABBAAbAfBcd:0:0:1:65:6:0:0:11:3 
Pip=11646 



1.  3ply  6/1 6/Off  eq: +1.375 
 Player: Opponent:  96.29% (G:43.29% B:0.07%) 3.71% (G:0.00% B:0.00%)  



53: 20/17 11/6 

XGID=BCABBAAAfBce:0:0:1:53:6:0:0:11:3 
Pip=11635 



1.  4ply  20/17 11/6  eq: 1.372 
 Player: Opponent:  3.98% (G:0.00% B:0.00%) 96.02% (G:43.27% B:0.09%)  

2.  4ply  20/12  eq: 1.374 (0.001) 
 Player: Opponent:  4.08% (G:0.00% B:0.00%) 95.92% (G:43.51% B:0.09%)  

3.  4ply  20/15 11/8  eq: 1.379 (0.006) 
 Player: Opponent:  4.14% (G:0.00% B:0.00%) 95.86% (G:44.11% B:0.09%)  

4.  4ply  11/6 7/4  eq: 1.392 (0.019) 
 Player: Opponent:  4.50% (G:0.00% B:0.00%) 95.50% (G:45.95% B:0.09%)  

5.  4ply  20/15 7/4  eq: 1.397 (0.024) 
 Player: Opponent:  4.50% (G:0.00% B:0.00%) 95.50% (G:46.49% B:0.09%)  



54: 4/Off(2) 

XGID=BCABCAAfBce:0:0:1:54:6:0:0:11:3 
Pip=10835 



1.  3ply  4/Off(2)  eq: +1.414 
 Player: Opponent:  96.57% (G:47.05% B:0.06%) 3.43% (G:0.00% B:0.00%)  



55: 22/7 17/12 

XGID=BCABCAAdBce:0:0:1:55:6:0:0:11:3 
Pip=10827 



1.  4ply  22/12(2)  eq: 1.122 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:12.73% B:0.00%)  

2.  4ply  22/7 17/12  eq: 1.132 (0.010) 
 Player: Opponent:  2.98% (G:0.00% B:0.00%) 97.02% (G:16.25% B:0.01%)  

3.  4ply  22/17 22/7  eq: 1.139 (0.017) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:14.55% B:0.00%)  

4.  4ply  22/12 17/12 7/2  eq: 1.194 (0.072) 
 Player: Opponent:  2.33% (G:0.00% B:0.00%) 97.67% (G:22.30% B:0.02%)  

5.  4ply  22/2  eq: 1.203 (0.081) 
 Player: Opponent:  2.38% (G:0.00% B:0.00%) 97.62% (G:23.34% B:0.03%)  



No double 

XGID=BCABCBAdAce:0:0:1:00:6:0:0:11:3 
Pip=8827 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
97.02% (G:16.25% B:0.01%) 
97.10% (G:16.09% B:0.01%) 
Opponent Winning Chances: 
2.98% (G:0.00% B:0.00%) 
2.90% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.096 
+2.213 
Cubeful Equities 
No double:  +1.132  
Double/Take:  +2.202 (+1.070)  
Double/Pass:  +1.000 (0.132) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 11.0% 


54: 4/Off(2) 

XGID=BCABCBAdAce:0:0:1:54:6:0:0:11:3 
Pip=8827 



1.  3ply  4/Off(2)  eq: +1.115 
 Player: Opponent:  97.61% (G:14.09% B:0.01%) 2.39% (G:0.00% B:0.00%)  



62: 12/6 7/5 

XGID=BCABCBAbAce:0:0:1:62:6:0:0:11:3 
Pip=8819 



1.  4ply  12/6 7/5  eq: 1.067 
 Player: Opponent:  2.45% (G:0.00% B:0.00%) 97.55% (G:10.25% B:0.02%)  

2.  4ply  12/4  eq: 1.113 (0.046) 
 Player: Opponent:  3.03% (G:0.00% B:0.00%) 96.97% (G:17.08% B:0.04%)  

3.  4ply  22/20 12/6  eq: 1.117 (0.050) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:12.16% B:0.00%)  

4.  4ply  22/16 7/5  eq: 1.117 (0.051) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:12.25% B:0.00%)  

5.  4ply  22/14  eq: 1.123 (0.056) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:12.84% B:0.00%)  



No double 

XGID=BCACDAbAce:0:0:1:00:6:0:0:11:3 
Pip=8019 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
97.55% (G:10.25% B:0.02%) 
97.56% (G:10.21% B:0.02%) 
Opponent Winning Chances: 
2.45% (G:0.00% B:0.00%) 
2.44% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.049 
+2.097 
Cubeful Equities 
No double:  +1.067  
Double/Take:  +2.088 (+1.021)  
Double/Pass:  +1.000 (0.067) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 6.1% 


42: 4/2 4/Off 

XGID=BCACDAbAce:0:0:1:42:6:0:0:11:3 
Pip=8019 



1.  4ply  4/2 4/Off  eq: +1.022 
 Player: Opponent:  99.98% (G:2.30% B:0.00%) 0.02% (G:0.00% B:0.00%)  

2.  4ply  4/Off 2/Off  eq: +0.950 (0.071) 
 Player: Opponent:  89.08% (G:8.00% B:0.06%) 10.92% (G:0.00% B:0.00%)  



64: 22/12 

XGID=BCACDAAde:0:0:1:64:6:0:0:11:3 
Pip=8013 



1.  4ply  22/12  eq: 1.003 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.27% B:0.00%)  

2.  4ply  22/16 7/3  eq: 1.013 (0.010) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:1.31% B:0.00%)  

3.  4ply  22/16 5/1  eq: 1.037 (0.034) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:3.82% B:0.00%)  

4.  3ply  22/16 6/2  eq: 1.033 (0.031) 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:3.51% B:0.00%)  

5.  3ply  22/18 7/1  eq: 1.036 (0.034) 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:3.81% B:0.00%)  



No double 

XGID=BCACDAAde:0:0:1:00:6:0:0:11:3 
Pip=7013 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:0.27% B:0.00%) 
100.00% (G:0.27% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.003 
+1.965 
Cubeful Equities 
No double:  +1.003  
Double/Take:  +1.965 (+0.962)  
Double/Pass:  +1.000 (0.003) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 0.3% 


41: 2/Off 1/Off 

XGID=BCACDAAde:0:0:1:41:6:0:0:11:3 
Pip=7013 



1.  4ply  2/Off 1/Off  eq: +1.001 
 Player: Opponent:  100.00% (G:0.08% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  4ply  2/1 2/Off  eq: +1.001 
 Player: Opponent:  100.00% (G:0.08% B:0.00%) 0.00% (G:0.00% B:0.00%)  



53: 12/4 

XGID=BCACDAAcd:0:0:1:53:6:0:0:11:3 
Pip=7010 



1.  4ply  12/4  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  4ply  12/9 7/2  eq: 1.001 (0.001) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.15% B:0.00%)  

3.  4ply  7/2 6/3  eq: 1.016 (0.016) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:1.70% B:0.00%)  

4.  4ply  12/9 6/1  eq: 1.023 (0.023) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:2.36% B:0.00%)  

5.  3ply  7/4 6/1  eq: 1.020 (0.020) 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:2.10% B:0.00%)  



43: 2/Off(2) 

XGID=BCBCDAcd:0:0:1:43:6:0:0:11:3 
Pip=6210 



1.  3ply  2/Off(2)  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  



54: 7/3 5/Off 

XGID=BCBCDAad:0:0:1:54:6:0:0:11:3 
Pip=626 



1.  4ply  7/2 4/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  4ply  7/3 5/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

3.  4ply  7/2 5/1  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

4.  4ply  6/2 6/1  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

5.  3ply  7/2 6/2  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



Double/Pass 

XGID=BCABBDad:0:0:1:00:6:0:0:11:3 
Pip=536 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
100.00% (G:0.00% B:0.00%) 
100.00% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
0.00% (G:0.00% B:0.00%) 
0.00% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.000 
+1.959 
Cubeful Equities 
No double:  +1.000  
Double/Take:  +1.959 (+0.959)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



