54: 24/20 13/8 

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



1.  Book^{1}  24/20 13/8  eq: +0.028 
 Player: Opponent:  50.40% (G:13.24% B:0.64%) 49.60% (G:12.91% B:0.46%)  

2.  Book^{1}  13/9 13/8  eq: +0.025 (0.003) 
 Player: Opponent:  49.82% (G:14.70% B:0.70%) 50.18% (G:13.25% B:0.63%)  

3.  Book^{1}  24/15  eq: +0.003 (0.025) 
 Player: Opponent:  50.31% (G:11.57% B:0.47%) 49.69% (G:12.88% B:0.46%)  

4.  Book^{1}  13/4  eq: 0.044 (0.072) 
 Player: Opponent:  48.44% (G:13.76% B:0.66%) 51.56% (G:14.19% B:0.74%)  

5.  3ply  13/9 8/3  eq: 0.122 (0.150) 
 Player: Opponent:  46.64% (G:13.38% 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++



54: 24/20 13/8 

XGID=bEDeDceAA:0:0:1:54:0:1:0:11:3 
Pip=158167 



1.  4ply  24/20 13/8  eq: 0.180 
 Player: Opponent:  45.96% (G:9.68% B:0.32%) 54.04% (G:13.32% B:0.48%)  

2.  4ply  13/9 13/8  eq: 0.224 (0.044) 
 Player: Opponent:  44.50% (G:11.90% B:0.42%) 55.50% (G:15.11% B:0.85%)  

3.  4ply  24/20 6/1*  eq: 0.226 (0.046) 
 Player: Opponent:  44.83% (G:9.31% B:0.24%) 55.17% (G:13.74% B:0.56%)  

4.  4ply  24/15  eq: 0.234 (0.054) 
 Player: Opponent:  45.15% (G:8.69% B:0.29%) 54.85% (G:14.80% B:0.48%)  

5.  4ply  13/4  eq: 0.255 (0.075) 
 Player: Opponent:  43.94% (G:9.92% B:0.32%) 56.06% (G:14.53% B:0.75%)  



64: 8/2 6/2 

XGID=aaEDdDdeAA:0:0:1:64:0:1:0:11:3 
Pip=158158 



1.  XG Roller+  24/20 8/2  eq: +0.072 
 Player: Opponent:  51.08% (G:10.18% B:0.29%) 48.92% (G:7.63% B:0.23%)  

2.  XG Roller+  8/2 6/2  eq: +0.023 (0.049) 
 Player: Opponent:  50.10% (G:12.45% B:0.45%) 49.90% (G:11.46% B:0.42%)  

3.  4ply  24/20 13/7  eq: +0.027 (0.045) 
 Player: Opponent:  49.81% (G:9.77% B:0.26%) 50.19% (G:7.69% B:0.22%)  

4.  3ply  20/10  eq: 0.073 (0.145) 
 Player: Opponent:  48.30% (G:10.21% B:0.36%) 51.70% (G:12.45% B:0.40%)  

5.  3ply  24/14  eq: 0.104 (0.176) 
 Player: Opponent:  48.12% (G:9.27% B:0.34%) 51.88% (G:13.54% B:0.39%)  



64: 24/20 8/2 

XGID=aBaDCdDdeAA:0:0:1:64:0:1:0:11:3 
Pip=148158 



1.  4ply  24/20 8/2  eq: 0.096 
 Player: Opponent:  46.96% (G:8.69% B:0.23%) 53.04% (G:8.65% B:0.25%)  

2.  4ply  24/20 13/7  eq: 0.139 (0.043) 
 Player: Opponent:  45.78% (G:8.54% B:0.26%) 54.22% (G:9.13% B:0.25%)  

3.  4ply  8/2 6/2  eq: 0.200 (0.104) 
 Player: Opponent:  45.84% (G:10.89% B:0.44%) 54.16% (G:15.82% B:0.54%)  

4.  3ply  20/10  eq: 0.306 (0.210) 
 Player: Opponent:  43.67% (G:8.34% B:0.31%) 56.33% (G:16.59% B:0.53%)  

5.  2ply  24/14  eq: 0.386 (0.290) 
 Player: Opponent:  42.37% (G:7.86% B:0.31%) 57.63% (G:19.92% B:0.56%)  



41: 24/23* 20/16 

XGID=BbDCdDceAaA:0:0:1:41:0:1:0:11:3 
Pip=148148 



1.  4ply  24/23* 20/16  eq: +0.201 
 Player: Opponent:  55.67% (G:11.81% B:0.30%) 44.33% (G:10.14% B:0.32%)  

2.  4ply  24/23* 13/9  eq: +0.156 (0.045) 
 Player: Opponent:  53.54% (G:13.06% B:0.35%) 46.46% (G:9.75% B:0.35%)  

3.  4ply  24/23* 6/2  eq: +0.070 (0.131) 
 Player: Opponent:  51.44% (G:12.73% B:0.30%) 48.56% (G:11.18% B:0.38%)  

4.  3ply  24/23* 8/4  eq: +0.078 (0.123) 
 Player: Opponent:  51.88% (G:11.87% B:0.32%) 48.12% (G:10.59% B:0.40%)  

5.  3ply  24/20 8/7  eq: 0.010 (0.211) 
 Player: Opponent:  49.41% (G:6.79% B:0.21%) 50.59% (G:6.44% B:0.15%)  



31: Bar/24 6/3 

XGID=aBbDCdDAceA:0:0:1:31:0:1:0:11:3 
Pip=143171 



1.  XG Roller+  Bar/22 6/5  eq: 0.211 
 Player: Opponent:  45.40% (G:10.67% B:0.38%) 54.60% (G:15.27% B:0.43%)  

2.  XG Roller+  Bar/24 6/3  eq: 0.276 (0.065) 
 Player: Opponent:  43.97% (G:10.57% B:0.36%) 56.03% (G:16.21% B:0.60%)  

3.  4ply  Bar/24 8/5  eq: 0.272 (0.061) 
 Player: Opponent:  43.75% (G:10.84% B:0.37%) 56.25% (G:16.31% B:0.61%)  

4.  4ply  Bar/24 13/10  eq: 0.282 (0.070) 
 Player: Opponent:  43.26% (G:10.28% B:0.34%) 56.74% (G:15.45% B:0.57%)  

5.  4ply  Bar/21  eq: 0.310 (0.099) 
 Player: Opponent:  41.45% (G:8.88% B:0.27%) 58.55% (G:12.28% B:0.33%)  



No double 

XGID=aBbDCdDAcdaA:0:0:1:00:0:1:0:11:3 
Pip=143167 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
56.30% (G:16.15% B:0.57%) 
56.30% (G:16.13% B:0.57%) 
Opponent Winning Chances: 
43.70% (G:10.50% B:0.34%) 
43.70% (G:10.49% B:0.34%) 
Cubeless Equities 
+0.183 
+0.373 
Cubeful Equities 
No double:  +0.275  
Double/Take:  +0.079 (0.195)  
Double/Pass:  +1.000 (+0.725) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.5% 


41: 23/22* 22/18 

XGID=aBbDCdDAcdaA:0:0:1:41:0:1:0:11:3 
Pip=143167 



1.  XG Roller+  23/22* 13/9  eq: +0.324 
 Player: Opponent:  55.54% (G:20.19% B:1.06%) 44.46% (G:9.94% B:0.38%)  

2.  XG Roller+  23/22* 22/18  eq: +0.291 (0.033) 
 Player: Opponent:  55.65% (G:18.00% B:0.80%) 44.35% (G:10.41% B:0.36%)  

3.  4ply  23/22* 8/4  eq: +0.241 (0.083) 
 Player: Opponent:  54.50% (G:17.60% B:0.75%) 45.50% (G:10.80% B:0.42%)  

4.  3ply  23/22* 6/2  eq: +0.183 (0.141) 
 Player: Opponent:  52.31% (G:19.37% B:1.03%) 47.69% (G:11.72% B:0.45%)  

5.  3ply  16/11  eq: +0.095 (0.229) 
 Player: Opponent:  52.47% (G:13.63% B:0.49%) 47.53% (G:12.73% B:0.41%)  



65: Bar/20 13/7* 

XGID=aaBbDCdDAcAd:0:0:1:65:0:1:0:11:3 
Pip=138189 



1.  3ply  Bar/20 13/7*  eq: 0.224 
 Player: Opponent:  45.16% (G:11.04% B:0.37%) 54.84% (G:16.43% B:0.50%)  

2.  3ply  Bar/14  eq: 0.416 (0.192) 
 Player: Opponent:  40.81% (G:8.78% B:0.30%) 59.19% (G:18.65% B:0.57%)  

3.  2ply  Bar/20 8/2  eq: 0.522 (0.298) 
 Player: Opponent:  37.18% (G:8.25% B:0.26%) 62.82% (G:18.32% B:0.62%)  

4.  2ply  Bar/20 24/18  eq: 0.552 (0.328) 
 Player: Opponent:  35.20% (G:6.37% B:0.20%) 64.80% (G:14.72% B:0.30%)  



64: Bar/15 

XGID=aBcDCcDAcadA:0:0:1:64:0:1:0:11:3 
Pip=145178 



1.  4ply  Bar/15  eq: +0.192 
 Player: Opponent:  54.50% (G:15.12% B:0.50%) 45.50% (G:11.60% B:0.40%)  

2.  4ply  Bar/21 16/10  eq: +0.102 (0.090) 
 Player: Opponent:  51.64% (G:15.33% B:0.52%) 48.36% (G:12.15% B:0.42%)  

3.  3ply  Bar/21 13/7  eq: +0.002 (0.189) 
 Player: Opponent:  49.51% (G:13.96% B:0.49%) 50.49% (G:13.14% B:0.57%)  

4.  3ply  Bar/21 8/2  eq: 0.005 (0.197) 
 Player: Opponent:  48.79% (G:16.06% B:0.50%) 51.21% (G:14.28% B:0.57%)  



43: 20/16 13/10* 

XGID=aBcDCcDAAcad:0:0:1:43:0:1:0:11:3 
Pip=135178 



1.  XG Roller+  13/10* 13/9*  eq: +0.092 
 Player: Opponent:  52.60% (G:15.74% B:0.61%) 47.40% (G:14.69% B:0.65%)  

2.  XG Roller+  20/16 13/10*  eq: 0.290 (0.382) 
 Player: Opponent:  45.12% (G:10.98% B:0.43%) 54.88% (G:20.56% B:0.97%)  

3.  2ply  13/10* 10/6  eq: 0.274 (0.366) 
 Player: Opponent:  43.19% (G:10.76% B:0.36%) 56.81% (G:15.45% B:0.53%)  

4.  2ply  13/9* 9/6  eq: 0.281 (0.372) 
 Player: Opponent:  43.03% (G:10.73% B:0.36%) 56.97% (G:15.57% B:0.54%)  

5.  2ply  24/21 13/9*  eq: 0.282 (0.374) 
 Player: Opponent:  43.78% (G:10.40% B:0.42%) 56.22% (G:17.20% B:0.58%)  



No double 

XGID=aBbDCabDaAcadA:0:0:1:00:0:1:0:11:3 
Pip=145171 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
55.09% (G:20.50% B:1.06%) 
55.10% (G:20.49% B:1.05%) 
Opponent Winning Chances: 
44.91% (G:10.88% B:0.43%) 
44.90% (G:10.88% B:0.43%) 
Cubeless Equities 
+0.204 
+0.419 
Cubeful Equities 
No double:  +0.298  
Double/Take:  +0.105 (0.193)  
Double/Pass:  +1.000 (+0.702) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.7% 


31: Bar/22 16/15* 

XGID=aBbDCabDaAcadA:0:0:1:31:0:1:0:11:3 
Pip=145171 



1.  3ply  Bar/22 16/15*  eq: +0.336 
 Player: Opponent:  55.43% (G:21.76% B:1.18%) 44.57% (G:10.44% B:0.40%)  

2.  2ply  Bar/24 16/13  eq: +0.066 (0.270) 
 Player: Opponent:  51.42% (G:13.75% B:0.48%) 48.58% (G:12.75% B:0.43%)  

3.  2ply  Bar/21  eq: 0.045 (0.381) 
 Player: Opponent:  48.60% (G:13.83% B:0.61%) 51.40% (G:15.11% B:0.56%)  

4.  2ply  Bar/24 6/3  eq: 0.124 (0.460) 
 Player: Opponent:  46.55% (G:13.13% B:0.55%) 53.45% (G:15.53% B:0.76%)  

5.  2ply  Bar/24 13/10  eq: 0.129 (0.465) 
 Player: Opponent:  45.88% (G:14.13% B:0.77%) 54.12% (G:15.46% B:0.81%)  



63: Bar/22 16/10* 

XGID=aaBbDCabDAcadA:0:0:1:63:0:1:0:11:3 
Pip=141186 



1.  4ply  Bar/22 16/10*  eq: 0.201 
 Player: Opponent:  47.38% (G:11.92% B:0.50%) 52.62% (G:20.09% B:1.08%)  

2.  4ply  Bar/16  eq: 0.294 (0.093) 
 Player: Opponent:  44.48% (G:10.42% B:0.36%) 55.52% (G:19.20% B:0.74%)  

3.  2ply  Bar/22 13/7  eq: 0.545 (0.344) 
 Player: Opponent:  40.36% (G:8.76% B:0.45%) 59.64% (G:28.04% B:1.84%)  

4.  2ply  Bar/22 24/18  eq: 0.732 (0.531) 
 Player: Opponent:  38.12% (G:8.05% B:0.32%) 61.88% (G:31.47% B:1.68%)  

5.  1ply  Bar/22 8/2  eq: 0.686 (0.485) 
 Player: Opponent:  38.16% (G:8.31% B:0.36%) 61.84% (G:29.38% B:1.93%)  



42: Bar/23 22/18* 

XGID=aBabDCbDacadAA:0:0:1:42:0:1:0:11:3 
Pip=151177 



1.  3ply  Bar/23 22/18*  eq: +0.266 
 Player: Opponent:  53.68% (G:21.75% B:1.10%) 46.32% (G:10.92% B:0.45%)  

2.  2ply  Bar/21 13/11  eq: 0.046 (0.312) 
 Player: Opponent:  47.95% (G:15.46% B:0.72%) 52.05% (G:15.21% B:0.71%)  

3.  2ply  Bar/21 22/20  eq: 0.050 (0.316) 
 Player: Opponent:  47.85% (G:15.01% B:0.66%) 52.15% (G:14.89% B:0.55%)  

4.  2ply  Bar/21 8/6  eq: 0.054 (0.321) 
 Player: Opponent:  47.63% (G:15.51% B:0.66%) 52.37% (G:15.19% B:0.59%)  

5.  2ply  Bar/23 13/9  eq: 0.089 (0.356) 
 Player: Opponent:  46.63% (G:14.72% B:0.68%) 53.37% (G:14.71% B:0.67%)  



44: Bar/21 22/10 

XGID=aaBabDCbDacAdA:0:0:1:44:0:1:0:11:3 
Pip=145195 



1.  4ply  Bar/21 22/10  eq: 0.184 
 Player: Opponent:  46.33% (G:11.24% B:0.43%) 53.67% (G:16.16% B:0.59%)  

2.  4ply  Bar/21 10/2* 6/2  eq: 0.261 (0.076) 
 Player: Opponent:  44.06% (G:11.99% B:0.40%) 55.94% (G:17.06% B:0.66%)  

3.  3ply  Bar/21 24/20 6/2*(2)  eq: 0.311 (0.126) 
 Player: Opponent:  43.57% (G:11.37% B:0.49%) 56.43% (G:19.15% B:0.69%)  

4.  3ply  Bar/21 8/4(2) 6/2*  eq: 0.320 (0.136) 
 Player: Opponent:  45.67% (G:12.19% B:0.54%) 54.33% (G:24.60% B:1.80%)  

5.  3ply  Bar/21 22/18 6/2*(2)  eq: 0.343 (0.159) 
 Player: Opponent:  43.29% (G:10.88% B:0.48%) 56.71% (G:20.22% B:0.89%)  



64: 18/8 

XGID=aBabDCbDbcAdA:0:0:1:64:0:1:0:11:3 
Pip=145179 



1.  3ply  18/8  eq: +0.164 
 Player: Opponent:  53.13% (G:15.91% B:0.47%) 46.87% (G:11.19% B:0.37%)  

2.  2ply  18/14 13/7  eq: 0.068 (0.232) 
 Player: Opponent:  47.30% (G:13.94% B:0.44%) 52.70% (G:13.55% B:0.61%)  

3.  2ply  13/3  eq: 0.069 (0.233) 
 Player: Opponent:  47.36% (G:14.71% B:0.53%) 52.64% (G:14.69% B:0.67%)  

4.  2ply  18/14 8/2  eq: 0.082 (0.246) 
 Player: Opponent:  46.76% (G:15.55% B:0.45%) 53.24% (G:15.10% B:0.61%)  

5.  2ply  13/7 8/4*  eq: 0.090 (0.254) 
 Player: Opponent:  46.84% (G:14.49% B:0.49%) 53.16% (G:14.69% B:0.82%)  



53: 10/5 8/5 

XGID=aBabDDbDbcdA:0:0:1:53:0:1:0:11:3 
Pip=135179 



1.  4ply  10/5 8/5  eq: 0.170 
 Player: Opponent:  47.16% (G:12.16% B:0.41%) 52.84% (G:17.45% B:0.65%)  

2.  4ply  8/3 6/3  eq: 0.197 (0.027) 
 Player: Opponent:  46.22% (G:11.66% B:0.37%) 53.78% (G:17.03% B:0.55%)  

3.  4ply  24/21 10/5  eq: 0.199 (0.029) 
 Player: Opponent:  46.60% (G:10.63% B:0.38%) 53.40% (G:16.89% B:0.41%)  

4.  4ply  24/21 8/3  eq: 0.212 (0.043) 
 Player: Opponent:  45.80% (G:10.57% B:0.37%) 54.20% (G:16.10% B:0.41%)  

5.  4ply  21/13  eq: 0.222 (0.052) 
 Player: Opponent:  44.85% (G:10.45% B:0.31%) 55.15% (G:15.02% B:0.39%)  



31: 23/22 6/3 

XGID=aBabDDbDabdbA:0:0:1:31:0:1:0:11:3 
Pip=135171 



1.  XG Roller+  8/4*  eq: 0.011 
 Player: Opponent:  49.04% (G:14.81% B:0.67%) 50.96% (G:14.19% B:0.48%)  

2.  XG Roller+  23/22 6/3  eq: 0.067 (0.057) 
 Player: Opponent:  48.21% (G:13.32% B:0.50%) 51.79% (G:15.05% B:0.43%)  

3.  4ply  6/2  eq: 0.122 (0.111) 
 Player: Opponent:  46.33% (G:13.62% B:0.37%) 53.67% (G:15.34% B:0.50%)  

4.  3ply  23/22 13/10  eq: 0.175 (0.164) 
 Player: Opponent:  45.31% (G:13.17% B:0.57%) 54.69% (G:16.50% B:0.60%)  

5.  3ply  13/9  eq: 0.222 (0.211) 
 Player: Opponent:  44.12% (G:11.99% B:0.44%) 55.88% (G:16.22% B:0.60%)  



41: 21/16 

XGID=aBAabCDbDabdbA:0:0:1:41:0:1:0:11:3 
Pip=131171 



1.  XG Roller+  13/9 10/9  eq: 0.167 
 Player: Opponent:  47.44% (G:12.29% B:0.45%) 52.56% (G:18.06% B:0.68%)  

2.  XG Roller+  21/16  eq: 0.232 (0.065) 
 Player: Opponent:  45.53% (G:11.11% B:0.38%) 54.47% (G:17.00% B:0.63%)  

3.  4ply  8/3*  eq: 0.215 (0.048) 
 Player: Opponent:  46.73% (G:13.25% B:0.45%) 53.27% (G:20.84% B:1.22%)  

4.  4ply  10/5  eq: 0.247 (0.080) 
 Player: Opponent:  44.26% (G:11.26% B:0.34%) 55.74% (G:16.10% B:0.54%)  

5.  4ply  21/20 10/6  eq: 0.281 (0.114) 
 Player: Opponent:  42.84% (G:10.67% B:0.28%) 57.16% (G:15.01% B:0.43%)  



51: 22/21 8/3 

XGID=aBAbCDabDabdbA:0:0:1:51:0:1:0:11:3 
Pip=131166 



1.  3ply  22/21 8/3  eq: +0.162 
 Player: Opponent:  53.57% (G:15.47% B:0.56%) 46.43% (G:12.01% B:0.32%)  

2.  3ply  8/7 8/3  eq: +0.000 (0.161) 
 Player: Opponent:  49.36% (G:14.99% B:0.71%) 50.64% (G:14.13% B:0.50%)  

3.  2ply  13/8 3/2  eq: 0.090 (0.252) 
 Player: Opponent:  46.99% (G:14.61% B:0.42%) 53.01% (G:15.53% B:0.41%)  

4.  2ply  8/3 2/1*  eq: 0.140 (0.302) 
 Player: Opponent:  46.22% (G:13.24% B:0.42%) 53.78% (G:16.13% B:0.64%)  

5.  2ply  22/16  eq: 0.166 (0.328) 
 Player: Opponent:  46.45% (G:11.28% B:0.39%) 53.55% (G:16.95% B:0.55%)  



41: 10/5 

XGID=aBBbCCabDabdbA:0:0:1:41:0:1:0:11:3 
Pip=125166 



1.  4ply  16/11  eq: 0.441 (+0.000) 
 Player: Opponent:  41.04% (G:9.26% B:0.29%) 58.96% (G:20.46% B:0.80%)  

2.  4ply  10/5  eq: 0.442 
 Player: Opponent:  39.96% (G:9.09% B:0.29%) 60.04% (G:18.25% B:0.68%)  

3.  4ply  8/4* 6/5  eq: 0.464 (0.023) 
 Player: Opponent:  41.52% (G:10.37% B:0.31%) 58.48% (G:27.35% B:2.05%)  

4.  4ply  16/15 10/6  eq: 0.494 (0.052) 
 Player: Opponent:  38.87% (G:8.52% B:0.27%) 61.13% (G:18.78% B:0.71%)  

5.  4ply  10/9 8/4*  eq: 0.501 (0.059) 
 Player: Opponent:  41.03% (G:10.11% B:0.31%) 58.97% (G:27.95% B:2.13%)  



No double 

XGID=aBBbCCabDbdcA:0:0:1:00:0:1:0:11:3 
Pip=125161 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
60.04% (G:18.25% B:0.68%) 
60.04% (G:18.22% B:0.68%) 
Opponent Winning Chances: 
39.96% (G:9.09% B:0.29%) 
39.96% (G:9.08% B:0.29%) 
Cubeless Equities 
+0.296 
+0.605 
Cubeful Equities 
No double:  +0.442  
Double/Take:  +0.332 (0.110)  
Double/Pass:  +1.000 (+0.558) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.1% 


43: 13/9* 9/6 

XGID=aBBbCCabDbdcA:0:0:1:43:0:1:0:11:3 
Pip=125161 



1.  4ply  13/9* 9/6  eq: +0.496 (+0.003) 
 Player: Opponent:  59.80% (G:21.16% B:0.98%) 40.20% (G:8.42% B:0.30%)  

2.  4ply  21/18 13/9*  eq: +0.493 
 Player: Opponent:  60.17% (G:20.45% B:1.01%) 39.83% (G:9.23% B:0.34%)  

3.  3ply  13/10 13/9*  eq: +0.338 (0.156) 
 Player: Opponent:  55.53% (G:21.86% B:1.28%) 44.47% (G:11.91% B:0.61%)  

4.  3ply  21/14  eq: +0.255 (0.238) 
 Player: Opponent:  57.15% (G:13.08% B:0.44%) 42.85% (G:10.54% B:0.26%)  

5.  2ply  13/9* 6/3  eq: +0.242 (0.252) 
 Player: Opponent:  53.97% (G:20.21% B:0.97%) 46.03% (G:11.85% B:0.46%)  



51: Bar/20 5/4* 

XGID=aaBBbDCbCbdcA:0:0:1:51:0:1:0:11:3 
Pip=118170 



1.  4ply  Bar/20 5/4*  eq: 0.438 
 Player: Opponent:  42.28% (G:9.48% B:0.28%) 57.72% (G:23.19% B:0.89%)  

2.  4ply  Bar/20 6/5  eq: 0.531 (0.093) 
 Player: Opponent:  37.63% (G:7.52% B:0.19%) 62.37% (G:18.14% B:0.36%)  

3.  4ply  Bar/24 8/3  eq: 0.534 (0.096) 
 Player: Opponent:  39.37% (G:7.80% B:0.25%) 60.63% (G:20.65% B:1.93%)  

4.  3ply  Bar/24 13/8  eq: 0.573 (0.135) 
 Player: Opponent:  38.36% (G:7.19% B:0.23%) 61.64% (G:20.95% B:1.75%)  

5.  3ply  Bar/24 6/1  eq: 0.589 (0.151) 
 Player: Opponent:  37.44% (G:7.90% B:0.22%) 62.56% (G:20.56% B:1.65%)  



No double 

XGID=aBBcDCbCbdbaA:0:0:1:00:0:1:0:11:3 
Pip=122164 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.72% (G:23.19% B:0.89%) 
57.72% (G:23.20% B:0.89%) 
Opponent Winning Chances: 
42.28% (G:9.48% B:0.28%) 
42.28% (G:9.48% B:0.28%) 
Cubeless Equities 
+0.298 
+0.614 
Cubeful Equities 
No double:  +0.438  
Double/Take:  +0.313 (0.125)  
Double/Pass:  +1.000 (+0.562) 

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


52: Bar/23 6/1* 

XGID=aBBcDCbCbdbaA:0:0:1:52:0:1:0:11:3 
Pip=122164 



1.  XG Roller+  Bar/18  eq: +0.354 
 Player: Opponent:  57.81% (G:17.41% B:0.56%) 42.19% (G:9.39% B:0.24%)  

2.  XG Roller+  Bar/23 6/1*  eq: +0.282 (0.072) 
 Player: Opponent:  54.64% (G:20.89% B:0.47%) 45.36% (G:11.51% B:0.36%)  

3.  4ply  Bar/23 13/8  eq: +0.198 (0.156) 
 Player: Opponent:  53.00% (G:17.20% B:0.41%) 47.00% (G:9.90% B:0.33%)  

4.  3ply  Bar/23 8/3  eq: +0.160 (0.194) 
 Player: Opponent:  52.22% (G:18.12% B:0.44%) 47.78% (G:11.35% B:0.37%)  



22: Cannot Move 

XGID=aABBcCCbCbdbaA:0:0:1:22:0:1:0:11:3 
Pip=115165 



1.  4ply  Cannot Move  eq: 0.822 
 Player: Opponent:  36.54% (G:7.78% B:0.28%) 63.46% (G:32.77% B:0.60%)  



Double/Take 

XGID=aABBcCCbCbdbaA:0:0:1:00:0:1:0:11:3 
Pip=115165 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.46% (G:32.76% B:0.60%) 
63.46% (G:32.77% B:0.60%) 
Opponent Winning Chances: 
36.54% (G:7.77% B:0.28%) 
36.54% (G:7.78% B:0.28%) 
Cubeless Equities 
+0.526 
+1.085 
Cubeful Equities 
No double:  +0.684 (0.138)  
Double/Take:  +0.822  
Double/Pass:  +1.000 (+0.178) 

Best Cube action: Double / Take 


62: 23/21* 21/15 

XGID=aABBcCCbCbdbaA:1:1:1:62:0:1:0:11:3 
Pip=115165 



1.  4ply  23/21* 21/15  eq: +0.511 
 Player: Opponent:  65.97% (G:35.93% B:0.74%) 34.03% (G:6.72% B:0.34%)  

2.  4ply  23/21* 13/7  eq: +0.471 (0.040) 
 Player: Opponent:  63.87% (G:37.72% B:0.68%) 36.13% (G:7.66% B:0.34%)  

3.  4ply  23/21* 8/2  eq: +0.387 (0.125) 
 Player: Opponent:  61.48% (G:36.09% B:0.68%) 38.52% (G:8.58% B:0.40%)  

4.  1ply  13/7 8/6  eq: +0.036 (0.476) 
 Player: Opponent:  53.04% (G:25.14% B:0.66%) 46.96% (G:12.82% B:0.70%)  

5.  1ply  13/7 3/1  eq: +0.025 (0.487) 
 Player: Opponent:  52.69% (G:24.99% B:0.50%) 47.31% (G:12.79% B:0.68%)  



11: Bar/24*(2) 8/7(2) 

XGID=bABBcCCbCAbdb:1:1:1:11:0:1:0:11:3 
Pip=107186 



1.  4ply  Bar/24*(2) 8/7(2)  eq: +0.012 
 Player: Opponent:  46.77% (G:11.73% B:0.45%) 53.23% (G:19.65% B:1.71%)  

2.  4ply  Bar/24*(2) 6/4  eq: 0.012 (0.024) 
 Player: Opponent:  47.37% (G:11.09% B:0.42%) 52.63% (G:23.13% B:2.39%)  

3.  4ply  Bar/24*(2) 5/4(2)  eq: 0.052 (0.064) 
 Player: Opponent:  44.76% (G:11.04% B:0.43%) 55.24% (G:20.42% B:1.81%)  

4.  4ply  Bar/24*(2) 6/5(2)  eq: 0.052 (0.064) 
 Player: Opponent:  44.73% (G:10.89% B:0.40%) 55.27% (G:20.30% B:1.73%)  

5.  4ply  Bar/24*(2) 8/7 6/5  eq: 0.083 (0.095) 
 Player: Opponent:  44.74% (G:10.41% B:0.39%) 55.26% (G:23.03% B:2.36%)  



31: Bar/21 

XGID=bBBcCCbCAbdbA:1:1:1:31:0:1:0:11:3 
Pip=131182 



1.  4ply  Bar/21  eq: 0.033 
 Player: Opponent:  52.03% (G:19.95% B:1.80%) 47.97% (G:12.16% B:0.46%)  

2.  4ply  Bar/22 15/14  eq: 0.035 (0.002) 
 Player: Opponent:  52.23% (G:19.29% B:1.66%) 47.77% (G:12.45% B:0.46%)  

3.  3ply  Bar/22 8/7  eq: 0.183 (0.150) 
 Player: Opponent:  48.18% (G:17.57% B:1.40%) 51.82% (G:15.59% B:0.75%)  

4.  3ply  Bar/24 6/3  eq: 0.230 (0.197) 
 Player: Opponent:  46.45% (G:17.65% B:1.60%) 53.55% (G:14.95% B:0.66%)  

5.  3ply  Bar/24 13/10  eq: 0.231 (0.198) 
 Player: Opponent:  46.50% (G:17.04% B:1.33%) 53.50% (G:15.43% B:0.81%)  



65: 20/9 

XGID=bBBcCCbCAbdbA:1:1:1:65:0:1:0:11:3 
Pip=127182 



1.  4ply  20/9  eq: 0.097 
 Player: Opponent:  43.15% (G:10.00% B:0.36%) 56.85% (G:20.18% B:1.83%)  

2.  4ply  24/13  eq: 0.112 (0.014) 
 Player: Opponent:  41.76% (G:9.15% B:0.27%) 58.24% (G:16.59% B:0.42%)  

3.  4ply  13/8 13/7  eq: 0.202 (0.104) 
 Player: Opponent:  39.85% (G:8.15% B:0.27%) 60.15% (G:20.99% B:1.90%)  

4.  3ply  20/15 13/7  eq: 0.288 (0.191) 
 Player: Opponent:  38.84% (G:7.37% B:0.28%) 61.16% (G:25.90% B:2.79%)  

5.  3ply  20/14 6/1  eq: 0.304 (0.207) 
 Player: Opponent:  37.86% (G:7.56% B:0.28%) 62.14% (G:25.12% B:2.55%)  



64: 21/15 13/9 

XGID=bBBbCCbCAabdbA:1:1:1:64:0:1:0:11:3 
Pip=127171 



1.  4ply  21/15 13/9  eq: +0.135 
 Player: Opponent:  58.82% (G:18.08% B:1.24%) 41.18% (G:9.51% B:0.32%)  

2.  4ply  21/15 8/4  eq: +0.123 (0.012) 
 Player: Opponent:  58.72% (G:17.51% B:0.96%) 41.28% (G:10.01% B:0.33%)  

3.  4ply  15/9 13/9  eq: +0.047 (0.088) 
 Player: Opponent:  54.67% (G:19.63% B:1.78%) 45.33% (G:10.12% B:0.34%)  

4.  3ply  21/11  eq: 0.019 (0.155) 
 Player: Opponent:  53.30% (G:18.31% B:1.76%) 46.70% (G:12.46% B:0.51%)  

5.  3ply  21/17 15/9  eq: 0.027 (0.162) 
 Player: Opponent:  52.85% (G:19.04% B:1.78%) 47.15% (G:12.81% B:0.52%)  



22: 20/16* 6/4(2) 

XGID=bBBbCCAbBBabdb:1:1:1:22:0:1:0:11:3 
Pip=117171 



1.  4ply  20/16* 6/4(2)  eq: +0.141 
 Player: Opponent:  52.09% (G:16.00% B:0.76%) 47.91% (G:20.85% B:2.60%)  

2.  4ply  9/5 6/4(2)  eq: 0.121 (0.262) 
 Player: Opponent:  41.33% (G:9.15% B:0.30%) 58.67% (G:17.36% B:1.25%)  

3.  3ply  20/16*(2)  eq: 0.021 (0.162) 
 Player: Opponent:  45.65% (G:13.11% B:0.45%) 54.35% (G:19.64% B:1.38%)  

4.  2ply  7/3 6/4(2)  eq: 0.104 (0.245) 
 Player: Opponent:  41.59% (G:10.02% B:0.33%) 58.41% (G:17.93% B:1.63%)  

5.  2ply  20/18(2) 6/4(2)  eq: 0.114 (0.255) 
 Player: Opponent:  42.71% (G:8.39% B:0.20%) 57.29% (G:17.69% B:1.23%)  



62: Bar/23 15/9* 

XGID=bBBaCCabBBabbbbA:1:1:1:62:0:1:0:11:3 
Pip=133163 



1.  4ply  Bar/23 15/9*  eq: 0.094 
 Player: Opponent:  48.39% (G:23.30% B:3.34%) 51.61% (G:14.97% B:0.82%)  

2.  4ply  Bar/17  eq: 0.163 (0.069) 
 Player: Opponent:  48.36% (G:17.71% B:1.69%) 51.64% (G:15.82% B:0.63%)  

3.  3ply  Bar/23 8/2  eq: 0.311 (0.216) 
 Player: Opponent:  43.90% (G:15.58% B:1.12%) 56.10% (G:17.22% B:0.78%)  

4.  1ply  Bar/23 13/7  eq: 0.648 (0.554) 
 Player: Opponent:  34.56% (G:12.36% B:1.28%) 65.44% (G:26.10% B:1.68%)  



32: Cannot Move 

XGID=abBBaCCAbBAabbbbA:1:1:1:32:0:1:0:11:3 
Pip=125172 



1.  4ply  Cannot Move  eq: 0.420 
 Player: Opponent:  39.36% (G:8.64% B:0.56%) 60.64% (G:35.72% B:6.53%)  



64: 23/17 9/5* 

XGID=abBBaCCAbBAabbbbA:1:1:1:64:0:1:0:11:3 
Pip=125172 



1.  4ply  23/17 9/5*  eq: +0.342 
 Player: Opponent:  58.81% (G:34.02% B:5.83%) 41.19% (G:9.87% B:0.58%)  

2.  4ply  15/5*  eq: +0.265 (0.077) 
 Player: Opponent:  56.27% (G:33.17% B:5.89%) 43.73% (G:10.67% B:0.59%)  

3.  3ply  23/13  eq: +0.194 (0.148) 
 Player: Opponent:  57.29% (G:25.44% B:3.45%) 42.71% (G:9.52% B:0.39%)  

4.  3ply  23/17 15/11  eq: +0.100 (0.241) 
 Player: Opponent:  53.90% (G:26.53% B:3.85%) 46.10% (G:12.14% B:0.70%)  

5.  2ply  23/17 13/9  eq: +0.095 (0.247) 
 Player: Opponent:  53.51% (G:26.45% B:3.73%) 46.49% (G:11.91% B:0.73%)  



11: Bar/24(2) 9/8* 8/7 

XGID=bbBBACCbBAaAbbbb:1:1:1:11:0:1:0:11:3 
Pip=115177 



1.  3ply  Bar/24(2) 9/8* 8/7  eq: +0.044 
 Player: Opponent:  49.53% (G:16.29% B:0.87%) 50.47% (G:24.01% B:3.08%)  

2.  3ply  Bar/24(2) 9/8* 7/6  eq: 0.121 (0.165) 
 Player: Opponent:  45.56% (G:15.52% B:0.81%) 54.44% (G:29.05% B:4.49%)  

3.  1ply  Bar/24(2) 9/8* 5/4  eq: 0.551 (0.595) 
 Player: Opponent:  35.24% (G:8.52% B:0.39%) 64.76% (G:38.48% B:6.72%)  

4.  1ply  Bar/24(2) 9/8* 6/5  eq: 0.554 (0.598) 
 Player: Opponent:  34.88% (G:7.94% B:0.37%) 65.12% (G:37.92% B:6.19%)  

5.  1ply  Bar/24(2) 9/8* 4/3  eq: 0.597 (0.641) 
 Player: Opponent:  36.01% (G:7.89% B:0.40%) 63.99% (G:42.34% B:8.85%)  



43: Bar/22 15/11 

XGID=dBBACCbBAcbbbA:1:1:1:43:0:1:0:11:3 
Pip=123173 



1.  3ply  Bar/22 15/11  eq: +0.067 
 Player: Opponent:  53.41% (G:25.31% B:3.40%) 46.59% (G:13.59% B:0.80%)  

2.  2ply  Bar/22 8/4  eq: 0.216 (0.284) 
 Player: Opponent:  46.55% (G:21.12% B:2.45%) 53.45% (G:21.12% B:1.60%)  

3.  2ply  Bar/22 6/2  eq: 0.343 (0.410) 
 Player: Opponent:  42.12% (G:18.51% B:2.14%) 57.88% (G:20.10% B:0.99%)  

4.  2ply  Bar/22 13/9  eq: 0.521 (0.588) 
 Player: Opponent:  38.21% (G:17.66% B:2.31%) 61.79% (G:27.79% B:2.99%)  



32: 24/21 7/5 

XGID=dBBACCAbBcbbbA:1:1:1:32:0:1:0:11:3 
Pip=116173 



1.  3ply  24/21 7/5  eq: 0.381 
 Player: Opponent:  38.43% (G:8.57% B:0.38%) 61.57% (G:31.61% B:4.35%)  

2.  3ply  24/21 13/11  eq: 0.533 (0.152) 
 Player: Opponent:  36.34% (G:7.61% B:0.43%) 63.66% (G:37.93% B:7.27%)  

3.  3ply  13/11 13/10  eq: 0.560 (0.179) 
 Player: Opponent:  33.49% (G:6.55% B:0.27%) 66.51% (G:34.87% B:5.02%)  

4.  3ply  24/21 5/3*  eq: 0.605 (0.223) 
 Player: Opponent:  35.49% (G:6.85% B:0.37%) 64.51% (G:41.09% B:8.67%)  

5.  2ply  13/11 7/4  eq: 0.658 (0.277) 
 Player: Opponent:  31.64% (G:5.93% B:0.31%) 68.36% (G:38.32% B:6.24%)  



63: 22/16 8/5 

XGID=cBBaACCAbBbbcbA:1:1:1:63:0:1:0:11:3 
Pip=116168 



1.  4ply  22/16 8/5  eq: +0.360 
 Player: Opponent:  62.45% (G:27.57% B:3.42%) 37.55% (G:7.53% B:0.32%)  

2.  4ply  11/5 8/5  eq: +0.334 (0.026) 
 Player: Opponent:  60.18% (G:29.54% B:4.19%) 39.82% (G:6.97% B:0.25%)  

3.  3ply  11/5 6/3  eq: +0.190 (0.170) 
 Player: Opponent:  56.15% (G:26.67% B:3.77%) 43.85% (G:8.39% B:0.31%)  

4.  2ply  22/13  eq: 0.036 (0.395) 
 Player: Opponent:  52.45% (G:18.68% B:1.53%) 47.55% (G:13.10% B:0.48%)  

5.  2ply  13/10 11/5  eq: 0.235 (0.595) 
 Player: Opponent:  44.07% (G:21.27% B:3.06%) 55.93% (G:15.74% B:0.82%)  



31: 24/21 5/4 

XGID=cBBaBCBAbBAbbcb:1:1:1:31:0:1:0:11:3 
Pip=107168 



1.  4ply  24/21 5/4  eq: 0.303 
 Player: Opponent:  37.29% (G:4.83% B:0.15%) 62.71% (G:22.05% B:1.93%)  

2.  4ply  24/21 7/6  eq: 0.339 (0.036) 
 Player: Opponent:  36.26% (G:4.63% B:0.15%) 63.74% (G:22.81% B:2.06%)  

3.  4ply  24/21 4/3  eq: 0.380 (0.077) 
 Player: Opponent:  35.17% (G:3.93% B:0.13%) 64.83% (G:23.77% B:2.18%)  

4.  4ply  13/9*  eq: 0.408 (0.105) 
 Player: Opponent:  39.10% (G:9.22% B:0.56%) 60.90% (G:34.74% B:6.38%)  

5.  3ply  24/21 6/5  eq: 0.438 (0.135) 
 Player: Opponent:  32.98% (G:3.54% B:0.12%) 67.02% (G:23.90% B:2.10%)  



53: 16/11 6/3 

XGID=bBBbBCBAbBAbbbc:1:1:1:53:0:1:0:11:3 
Pip=107164 



1.  XG Roller+  16/13 11/6  eq: +0.366 
 Player: Opponent:  64.53% (G:22.11% B:1.85%) 35.47% (G:3.29% B:0.09%)  

2.  XG Roller+  16/11 6/3  eq: +0.333 (0.033) 
 Player: Opponent:  63.33% (G:22.19% B:1.97%) 36.67% (G:4.22% B:0.14%)  

3.  4ply  16/8  eq: +0.331 (0.035) 
 Player: Opponent:  63.53% (G:22.07% B:1.93%) 36.47% (G:4.65% B:0.15%)  

4.  4ply  16/11 8/5  eq: +0.253 (0.113) 
 Player: Opponent:  60.31% (G:23.39% B:2.13%) 39.69% (G:6.84% B:0.23%)  

5.  3ply  11/3  eq: +0.119 (0.247) 
 Player: Opponent:  56.35% (G:22.11% B:2.23%) 43.65% (G:7.84% B:0.28%)  



65: 13/8 13/7 

XGID=bBCbBBBBbBbbbc:1:1:1:65:0:1:0:11:3 
Pip=99164 



1.  4ply  13/8 13/7  eq: 0.371 
 Player: Opponent:  34.40% (G:3.98% B:0.13%) 65.60% (G:21.12% B:1.65%)  

2.  4ply  13/2  eq: 0.411 (0.041) 
 Player: Opponent:  34.62% (G:3.58% B:0.11%) 65.38% (G:24.91% B:2.44%)  

3.  4ply  24/13  eq: 0.508 (0.137) 
 Player: Opponent:  28.96% (G:4.08% B:0.16%) 71.04% (G:21.43% B:0.23%)  

4.  3ply  21/10  eq: 0.497 (0.126) 
 Player: Opponent:  32.49% (G:4.32% B:0.17%) 67.51% (G:26.53% B:2.56%)  

5.  3ply  13/8 7/1  eq: 0.506 (0.135) 
 Player: Opponent:  31.63% (G:2.90% B:0.07%) 68.37% (G:26.22% B:2.63%)  



51: 13/8 3/2 

XGID=bBCbBBBBBacbbc:1:1:1:51:0:1:0:11:3 
Pip=99153 



1.  XG Roller+  13/12 13/8  eq: +0.423 
 Player: Opponent:  66.97% (G:21.43% B:1.81%) 33.03% (G:3.68% B:0.11%)  

2.  XG Roller+  13/8 3/2  eq: +0.323 (0.100) 
 Player: Opponent:  63.37% (G:20.70% B:1.84%) 36.63% (G:4.53% B:0.12%)  

3.  4ply  11/5  eq: +0.326 (0.096) 
 Player: Opponent:  63.65% (G:21.57% B:1.99%) 36.35% (G:5.27% B:0.18%)  

4.  4ply  11/6 3/2  eq: +0.313 (0.110) 
 Player: Opponent:  63.29% (G:21.26% B:1.84%) 36.71% (G:5.25% B:0.18%)  

5.  3ply  11/10 11/6  eq: +0.226 (0.196) 
 Player: Opponent:  60.18% (G:21.43% B:1.89%) 39.82% (G:6.66% B:0.23%)  



43: 8/5 7/3 

XGID=bCBbBBCBAacbbc:1:1:1:43:0:1:0:11:3 
Pip=93153 



1.  4ply  8/5 7/3  eq: 0.398 
 Player: Opponent:  33.37% (G:3.57% B:0.11%) 66.63% (G:20.99% B:1.59%)  

2.  4ply  7/3 6/3  eq: 0.451 (0.053) 
 Player: Opponent:  31.91% (G:3.11% B:0.09%) 68.09% (G:22.21% B:1.73%)  

3.  4ply  7/4 7/3  eq: 0.457 (0.059) 
 Player: Opponent:  31.56% (G:2.96% B:0.08%) 68.44% (G:21.91% B:1.75%)  

4.  4ply  7/3 4/1  eq: 0.471 (0.073) 
 Player: Opponent:  31.50% (G:3.00% B:0.07%) 68.50% (G:22.85% B:2.02%)  

5.  4ply  8/1  eq: 0.488 (0.090) 
 Player: Opponent:  30.43% (G:2.85% B:0.06%) 69.57% (G:22.07% B:1.68%)  



55: 13/3 11/6(2) 

XGID=bCBbBBCBAbbcca:1:1:1:55:0:1:0:11:3 
Pip=93146 



1.  3ply  13/3 11/6(2)  eq: +0.428 
 Player: Opponent:  66.01% (G:24.40% B:1.82%) 33.99% (G:2.00% B:0.07%)  

2.  3ply  13/3 11/6 8/3  eq: +0.304 (0.124) 
 Player: Opponent:  61.49% (G:24.12% B:2.07%) 38.51% (G:4.04% B:0.13%)  

3.  2ply  11/6 8/3(3)  eq: +0.047 (0.381) 
 Player: Opponent:  52.84% (G:21.84% B:1.97%) 47.16% (G:7.19% B:0.33%)  

4.  1ply  13/3 8/3(2)  eq: 0.078 (0.506) 
 Player: Opponent:  50.21% (G:20.07% B:1.78%) 49.79% (G:9.75% B:0.36%)  

5.  1ply  11/6(2) 8/3(2)  eq: 0.113 (0.541) 
 Player: Opponent:  48.85% (G:20.43% B:1.89%) 51.15% (G:10.27% B:0.31%)  



31: 5/2 4/3 

XGID=bCCbBDCbbcca:1:1:1:31:0:1:0:11:3 
Pip=73146 



1.  4ply  5/2 4/3  eq: 0.347 
 Player: Opponent:  37.50% (G:2.38% B:0.07%) 62.50% (G:25.11% B:2.01%)  

2.  4ply  7/3  eq: 0.394 (0.047) 
 Player: Opponent:  36.04% (G:2.14% B:0.06%) 63.96% (G:25.35% B:2.00%)  

3.  4ply  5/2 3/2  eq: 0.424 (0.077) 
 Player: Opponent:  35.07% (G:1.95% B:0.05%) 64.93% (G:25.76% B:2.04%)  

4.  4ply  7/6 5/2  eq: 0.426 (0.079) 
 Player: Opponent:  35.36% (G:1.94% B:0.05%) 64.64% (G:26.55% B:2.33%)  

5.  4ply  21/18 4/3  eq: 0.512 (0.165) 
 Player: Opponent:  34.27% (G:1.98% B:0.03%) 65.73% (G:30.02% B:2.96%)  



11: 8/5 6/5 

XGID=bCCbBDCbbbbba:1:1:1:11:0:1:0:11:3 
Pip=73142 



1.  4ply  8/5 6/5  eq: +0.558 
 Player: Opponent:  69.74% (G:25.74% B:2.14%) 30.26% (G:1.33% B:0.04%)  

2.  4ply  8/7(3) 6/5  eq: +0.525 (0.034) 
 Player: Opponent:  70.19% (G:21.53% B:1.70%) 29.81% (G:0.96% B:0.04%)  

3.  4ply  8/5 3/2  eq: +0.494 (0.064) 
 Player: Opponent:  67.82% (G:24.22% B:1.91%) 32.18% (G:1.29% B:0.04%)  

4.  4ply  8/7(2) 8/6  eq: +0.485 (0.074) 
 Player: Opponent:  68.33% (G:22.13% B:1.68%) 31.67% (G:1.31% B:0.04%)  

5.  3ply  8/7(3) 3/2  eq: +0.379 (0.179) 
 Player: Opponent:  65.96% (G:19.46% B:1.36%) 34.04% (G:1.70% B:0.06%)  



51: 7/6 7/2 

XGID=bCCbDCBbbbbba:1:1:1:51:0:1:0:11:3 
Pip=69142 



1.  4ply  7/6 7/2  eq: 0.466 
 Player: Opponent:  33.39% (G:1.71% B:0.03%) 66.61% (G:25.34% B:1.91%)  

2.  4ply  7/1  eq: 0.557 (0.091) 
 Player: Opponent:  31.36% (G:1.49% B:0.02%) 68.64% (G:28.51% B:2.47%)  

3.  4ply  21/15  eq: 0.643 (0.177) 
 Player: Opponent:  30.13% (G:1.35% B:0.02%) 69.87% (G:32.11% B:3.33%)  

4.  3ply  7/2 6/5  eq: 0.617 (0.151) 
 Player: Opponent:  29.21% (G:1.10% B:0.03%) 70.79% (G:28.63% B:2.53%)  

5.  3ply  7/2 3/2  eq: 0.622 (0.155) 
 Player: Opponent:  29.18% (G:1.13% B:0.03%) 70.82% (G:29.02% B:2.55%)  



54: 8/3 6/2 

XGID=bCCbDCBcbbbb:1:1:1:54:0:1:0:11:3 
Pip=69136 



1.  3ply  8/3 6/2  eq: 0.021 
 Player: Opponent:  51.15% (G:18.65% B:1.33%) 48.85% (G:4.55% B:0.07%)  



51: 21/15 

XGID=bDDbDBAcbbbb:1:1:1:51:0:1:0:11:3 
Pip=60136 



1.  XG Roller+  21/15  eq: 0.599 (+0.007) 
 Player: Opponent:  30.87% (G:0.28% B:0.01%) 69.13% (G:29.23% B:2.43%)  

2.  XG Roller+  21/16 6/5  eq: 0.607 
 Player: Opponent:  30.84% (G:0.28% B:0.00%) 69.16% (G:29.83% B:2.48%)  

3.  4ply  6/1 2/1  eq: 0.610 (0.004) 
 Player: Opponent:  30.64% (G:0.64% B:0.01%) 69.36% (G:30.54% B:2.41%)  

4.  4ply  21/16 2/1  eq: 0.689 (0.082) 
 Player: Opponent:  28.81% (G:0.26% B:0.00%) 71.19% (G:32.70% B:3.01%)  

5.  4ply  21/16 3/2  eq: 0.704 (0.098) 
 Player: Opponent:  28.24% (G:0.22% B:0.00%) 71.76% (G:32.90% B:2.81%)  



43: 8/4* 3/Off 

XGID=bDDaDBAacbbbb:1:1:1:43:0:1:0:11:3 
Pip=60130 



1.  3ply  8/4* 3/Off  eq: +0.143 
 Player: Opponent:  51.90% (G:26.51% B:2.80%) 48.10% (G:0.00% B:0.00%)  

2.  3ply  8/4* 5/2  eq: +0.022 (0.121) 
 Player: Opponent:  49.35% (G:24.00% B:2.13%) 50.65% (G:4.13% B:0.06%)  

3.  2ply  6/3 6/2  eq: 0.063 (0.206) 
 Player: Opponent:  48.04% (G:15.61% B:1.11%) 51.96% (G:4.41% B:0.08%)  

4.  2ply  8/5 6/2  eq: 0.188 (0.332) 
 Player: Opponent:  43.53% (G:13.88% B:1.12%) 56.47% (G:4.62% B:0.07%)  

5.  1ply  8/4* 6/3  eq: 0.589 (0.732) 
 Player: Opponent:  33.06% (G:14.48% B:1.19%) 66.94% (G:17.28% B:0.63%)  



65: Cannot Move 

XGID=abDCADBacbbbb:1:1:1:65:0:1:0:11:3 
Pip=53134 



1.  4ply  Cannot Move  eq: 0.631 
 Player: Opponent:  34.27% (G:0.00% B:0.00%) 65.73% (G:38.43% B:4.39%)  



43: 4/Off 3/Off 

XGID=abDCADBacbbbb:1:1:1:43:0:1:0:11:3 
Pip=53134 



1.  4ply  4/Off 3/Off  eq: +0.766 
 Player: Opponent:  69.62% (G:40.88% B:5.34%) 30.38% (G:0.00% B:0.00%)  

2.  4ply  5/2 4/Off  eq: +0.736 (0.029) 
 Player: Opponent:  69.46% (G:39.38% B:4.38%) 30.54% (G:0.00% B:0.00%)  

3.  1ply  6/3 6/2  eq: +0.157 (0.609) 
 Player: Opponent:  51.92% (G:26.65% B:2.18%) 48.08% (G:0.00% B:0.00%)  

4.  1ply  6/3 4/Off  eq: +0.146 (0.620) 
 Player: Opponent:  50.92% (G:27.52% B:2.74%) 49.08% (G:0.00% B:0.00%)  

5.  1ply  6/2 3/Off  eq: 0.444 (1.210) 
 Player: Opponent:  31.47% (G:16.74% B:1.87%) 68.53% (G:0.00% B:0.00%)  



62: Cannot Move 

XGID=abDBDBacbbbb:1:1:1:62:0:1:0:11:3 
Pip=46134 



1.  4ply  Cannot Move  eq: 0.724 
 Player: Opponent:  32.92% (G:0.00% B:0.00%) 67.08% (G:43.03% B:5.80%)  



43: 6/3 6/2 

XGID=abDBDBacbbbb:1:1:1:43:0:1:0:11:3 
Pip=46134 



1.  3ply  6/3 6/2  eq: +1.059 
 Player: Opponent:  77.76% (G:50.20% B:5.61%) 22.24% (G:0.00% B:0.00%)  

2.  1ply  6/2 5/2  eq: +0.079 (0.980) 
 Player: Opponent:  47.55% (G:28.73% B:3.21%) 52.45% (G:0.00% B:0.00%)  

3.  1ply  6/2 3/Off  eq: 0.656 (1.715) 
 Player: Opponent:  24.89% (G:11.40% B:1.75%) 75.11% (G:0.00% B:0.00%)  



55: Cannot Move 

XGID=abECDacbbbb:1:1:1:55:0:1:0:11:3 
Pip=39134 



1.  4ply  Cannot Move  eq: 1.120 
 Player: Opponent:  22.29% (G:0.00% B:0.00%) 77.71% (G:54.21% B:7.51%)  



65: 5/Off(2) 

XGID=abECDacbbbb:1:1:1:65:0:1:0:11:3 
Pip=39134 



1.  3ply  5/Off(2)  eq: +1.152 
 Player: Opponent:  77.82% (G:56.03% B:8.55%) 22.18% (G:0.00% B:0.00%)  



21: Bar/24 15/13 

XGID=abECBacbbbb:1:1:1:21:0:1:0:11:3 
Pip=29134 



1.  4ply  Bar/24 15/13  eq: 1.249 
 Player: Opponent:  20.56% (G:0.00% B:0.00%) 79.44% (G:59.24% B:10.25%)  

2.  4ply  Bar/24 6/4  eq: 1.262 (0.012) 
 Player: Opponent:  20.28% (G:0.00% B:0.00%) 79.72% (G:59.87% B:10.18%)  

3.  4ply  Bar/24 3/1  eq: 1.348 (0.099) 
 Player: Opponent:  18.37% (G:0.00% B:0.00%) 81.63% (G:62.96% B:11.12%)  

4.  3ply  Bar/24 4/2  eq: 1.374 (0.125) 
 Player: Opponent:  17.39% (G:0.00% B:0.00%) 82.61% (G:63.70% B:10.67%)  

5.  3ply  Bar/24 5/3  eq: 1.379 (0.130) 
 Player: Opponent:  17.14% (G:0.00% B:0.00%) 82.86% (G:63.31% B:10.99%)  



51: 5/4 5/Off 

XGID=cECBacbbbb:1:1:1:51:0:1:0:11:3 
Pip=29131 



1.  3ply  5/4 5/Off  eq: +0.977 
 Player: Opponent:  72.10% (G:51.52% B:8.40%) 27.90% (G:0.00% B:0.00%)  

2.  2ply  5/Off 3/2  eq: +0.701 (0.275) 
 Player: Opponent:  65.04% (G:43.44% B:6.42%) 34.96% (G:0.00% B:0.00%)  



32: 24/21* 21/19 

XGID=cECAacbbbb:1:1:1:32:0:1:0:11:3 
Pip=23131 



1.  4ply  24/21* 21/19  eq: +0.488 
 Player: Opponent:  66.89% (G:0.00% B:0.00%) 33.11% (G:7.50% B:0.66%)  

2.  4ply  24/21* 13/11  eq: +0.469 (0.019) 
 Player: Opponent:  66.34% (G:0.00% B:0.00%) 33.66% (G:7.97% B:0.76%)  

3.  4ply  24/21* 6/4  eq: +0.463 (0.026) 
 Player: Opponent:  66.16% (G:0.00% B:0.00%) 33.84% (G:8.41% B:0.64%)  

4.  1ply  24/21* 3/1  eq: 0.014 (0.502) 
 Player: Opponent:  53.31% (G:0.00% B:0.00%) 46.69% (G:23.93% B:3.47%)  

5.  1ply  24/21* 4/2  eq: 0.088 (0.576) 
 Player: Opponent:  50.57% (G:0.00% B:0.00%) 49.43% (G:24.93% B:3.14%)  



51: Bar/24 

XGID=bECaacbbbbA:1:1:1:51:0:1:0:11:3 
Pip=44126 



1.  3ply  Bar/24  eq: 0.399 
 Player: Opponent:  35.48% (G:11.07% B:0.95%) 64.52% (G:0.00% B:0.00%)  



55: 19/4 6/1* 

XGID=bECaacbbbbA:1:1:1:55:0:1:0:11:3 
Pip=43126 



1.  4ply  24/9 6/1*  eq: +0.469 (+0.003) 
 Player: Opponent:  66.82% (G:0.00% B:0.00%) 33.18% (G:8.98% B:0.79%)  

2.  4ply  19/4 6/1*  eq: +0.467 (+0.001) 
 Player: Opponent:  66.48% (G:0.00% B:0.00%) 33.52% (G:8.22% B:0.81%)  

3.  4ply  19/9 13/8 6/1*  eq: +0.466 
 Player: Opponent:  66.51% (G:0.00% B:0.00%) 33.49% (G:8.23% B:0.95%)  

4.  4ply  24/19 24/14 6/1*  eq: +0.454 (0.012) 
 Player: Opponent:  65.82% (G:0.00% B:0.00%) 34.18% (G:8.37% B:0.38%)  

5.  4ply  24/14 13/8 6/1*  eq: +0.450 (0.016) 
 Player: Opponent:  66.12% (G:0.00% B:0.00%) 33.88% (G:9.17% B:0.69%)  



51: Bar/24* 

XGID=bECabbcbbaA:1:1:1:51:0:1:0:11:3 
Pip=44106 



1.  3ply  Bar/24*  eq: 0.287 
 Player: Opponent:  38.54% (G:14.56% B:1.55%) 61.47% (G:0.00% B:0.00%)  



65: Bar/14 

XGID=abECabbcbbA:1:1:1:65:0:1:0:11:3 
Pip=43130 



1.  4ply  Bar/14  eq: +0.298 
 Player: Opponent:  61.36% (G:0.00% B:0.00%) 38.64% (G:13.10% B:1.20%)  

2.  4ply  Bar/20 24/18  eq: +0.297 (0.001) 
 Player: Opponent:  61.51% (G:0.00% B:0.00%) 38.49% (G:13.27% B:0.79%)  

3.  4ply  Bar/19 24/19  eq: +0.277 (0.021) 
 Player: Opponent:  60.74% (G:0.00% B:0.00%) 39.26% (G:13.75% B:0.63%)  

4.  3ply  Bar/20 13/7  eq: +0.160 (0.138) 
 Player: Opponent:  58.24% (G:0.00% B:0.00%) 41.76% (G:18.38% B:2.58%)  

5.  3ply  Bar/19 13/8  eq: +0.147 (0.151) 
 Player: Opponent:  56.93% (G:0.00% B:0.00%) 43.07% (G:17.33% B:1.74%)  



52: Cannot Move 

XGID=bECaabbcbbA:1:1:1:52:0:1:0:11:3 
Pip=43119 



1.  4ply  Cannot Move  eq: 0.376 
 Player: Opponent:  36.46% (G:9.97% B:0.99%) 63.54% (G:0.00% B:0.00%)  



11: 13/12 4/1* 

XGID=bECaabbcbbA:1:1:1:11:0:1:0:11:3 
Pip=43119 



1.  XG Roller+  14/13 4/1*  eq: +0.423 
 Player: Opponent:  65.77% (G:0.00% B:0.00%) 34.23% (G:10.29% B:1.25%)  

2.  XG Roller+  13/12 4/1*  eq: +0.390 (0.034) 
 Player: Opponent:  64.84% (G:0.00% B:0.00%) 35.16% (G:11.14% B:1.63%)  

3.  3ply  13/11 2/1*(2)  eq: +0.273 (0.150) 
 Player: Opponent:  58.89% (G:0.00% B:0.00%) 41.11% (G:10.17% B:0.75%)  

4.  3ply  14/12 2/1*(2)  eq: +0.271 (0.153) 
 Player: Opponent:  58.68% (G:0.00% B:0.00%) 41.32% (G:9.92% B:0.72%)  

5.  3ply  14/11 4/3  eq: +0.270 (0.153) 
 Player: Opponent:  60.53% (G:0.00% B:0.00%) 39.47% (G:13.52% B:1.58%)  



33: Cannot Move 

XGID=bECaabbbbbaA:1:1:1:33:0:1:0:11:3 
Pip=44115 



1.  4ply  Cannot Move  eq: 0.495 
 Player: Opponent:  32.49% (G:7.55% B:1.22%) 67.51% (G:0.00% B:0.00%)  



No double 

XGID=bECaabbbbbaA:1:1:1:00:0:1:0:11:3 
Pip=44115 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
67.51% (G:0.00% B:0.00%) 
67.51% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
32.49% (G:7.55% B:1.22%) 
32.49% (G:7.55% B:1.23%) 
Cubeless Equities 
+0.257 
+0.527 
Cubeful Equities 
No redouble:  +0.495  
Redouble/Take:  +0.298 (0.197)  
Redouble/Pass:  +1.000 (+0.505) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 21.9% 


52: 14/7 

XGID=bECaabbbbbaA:1:1:1:52:0:1:0:11:3 
Pip=44115 



1.  4ply  14/7  eq: +0.520 
 Player: Opponent:  68.62% (G:0.00% B:0.00%) 31.38% (G:7.64% B:1.41%)  

2.  4ply  14/9 12/10  eq: +0.463 (0.057) 
 Player: Opponent:  66.52% (G:0.00% B:0.00%) 33.48% (G:8.55% B:0.98%)  

3.  4ply  24/19 14/12  eq: +0.459 (0.061) 
 Player: Opponent:  66.36% (G:0.00% B:0.00%) 33.64% (G:9.07% B:0.63%)  

4.  4ply  12/5  eq: +0.454 (0.066) 
 Player: Opponent:  66.09% (G:0.00% B:0.00%) 33.91% (G:8.63% B:0.81%)  

5.  4ply  24/19 12/10  eq: +0.446 (0.074) 
 Player: Opponent:  66.18% (G:0.00% B:0.00%) 33.82% (G:9.65% B:0.78%)  



33: Cannot Move 

XGID=bECaabbbbbaA:1:1:1:33:0:1:0:11:3 
Pip=44108 



1.  4ply  Cannot Move  eq: 0.673 
 Player: Opponent:  27.37% (G:2.27% B:0.33%) 72.63% (G:0.00% B:0.00%)  



No double 

XGID=bECaabbbbbaA:1:1:1:00:0:1:0:11:3 
Pip=44108 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
72.63% (G:0.00% B:0.00%) 
72.60% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
27.37% (G:2.27% B:0.33%) 
27.40% (G:2.26% B:0.34%) 
Cubeless Equities 
+0.425 
+0.860 
Cubeful Equities 
No redouble:  +0.673  
Redouble/Take:  +0.622 (0.051)  
Redouble/Pass:  +1.000 (+0.327) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 11.8% 


42: 7/1 

XGID=bECaabbbbbaA:1:1:1:42:0:1:0:11:3 
Pip=44108 



1.  3ply  7/1  eq: +0.726 
 Player: Opponent:  74.01% (G:0.00% B:0.00%) 25.99% (G:0.19% B:0.02%)  

2.  3ply  24/20 12/10  eq: +0.534 (0.192) 
 Player: Opponent:  68.91% (G:0.00% B:0.00%) 31.09% (G:6.67% B:0.92%)  

3.  3ply  24/18  eq: +0.521 (0.205) 
 Player: Opponent:  68.57% (G:0.00% B:0.00%) 31.43% (G:7.17% B:1.01%)  

4.  3ply  12/6  eq: +0.490 (0.236) 
 Player: Opponent:  66.97% (G:0.00% B:0.00%) 33.03% (G:6.81% B:1.05%)  

5.  3ply  24/20 7/5  eq: +0.485 (0.241) 
 Player: Opponent:  66.82% (G:0.00% B:0.00%) 33.18% (G:7.20% B:0.65%)  



62: Cannot Move 

XGID=bECabbbbbbA:1:1:1:62:0:1:0:11:3 
Pip=44102 



1.  4ply  Cannot Move  eq: 0.731 
 Player: Opponent:  25.87% (G:0.15% B:0.01%) 74.13% (G:0.00% B:0.00%)  



No double 

XGID=bECabbbbbbA:1:1:1:00:0:1:0:11:3 
Pip=44102 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.13% (G:0.00% B:0.00%) 
74.13% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.87% (G:0.15% B:0.01%) 
25.87% (G:0.15% B:0.01%) 
Cubeless Equities 
+0.481 
+0.972 
Cubeful Equities 
No redouble:  +0.731  
Redouble/Take:  +0.726 (0.005)  
Redouble/Pass:  +1.000 (+0.269) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 1.8% 


42: 24/20 12/10 

XGID=bECabbbbbbA:1:1:1:42:0:1:0:11:3 
Pip=44102 



1.  4ply  24/18  eq: +0.736 
 Player: Opponent:  74.28% (G:0.00% B:0.00%) 25.72% (G:0.10% B:0.01%)  

2.  4ply  24/20 12/10  eq: +0.735 (0.001) 
 Player: Opponent:  74.26% (G:0.00% B:0.00%) 25.74% (G:0.09% B:0.00%)  

3.  4ply  12/6  eq: +0.688 (0.048) 
 Player: Opponent:  72.58% (G:0.00% B:0.00%) 27.42% (G:0.80% B:0.05%)  

4.  1ply  24/20 3/1  eq: +0.021 (0.715) 
 Player: Opponent:  50.73% (G:0.00% B:0.00%) 49.27% (G:15.87% B:1.18%)  

5.  1ply  24/20 4/2  eq: 0.028 (0.764) 
 Player: Opponent:  49.88% (G:0.00% B:0.00%) 50.12% (G:18.47% B:1.50%)  



65: Cannot Move 

XGID=aECaabbbbbbA:1:1:1:65:0:1:0:11:3 
Pip=4496 



1.  4ply  Cannot Move  eq: 0.735 
 Player: Opponent:  25.74% (G:0.09% B:0.00%) 74.26% (G:0.00% B:0.00%)  



No double 

XGID=aECaabbbbbbA:1:1:1:00:0:1:0:11:3 
Pip=4496 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.26% (G:0.00% B:0.00%) 
74.26% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.74% (G:0.09% B:0.00%) 
25.74% (G:0.09% B:0.00%) 
Cubeless Equities 
+0.484 
+0.979 
Cubeful Equities 
No redouble:  +0.735  
Redouble/Take:  +0.734 (0.001)  
Redouble/Pass:  +1.000 (+0.265) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 0.5% 


51: 24/18 

XGID=aECaabbbbbbA:1:1:1:51:0:1:0:11:3 
Pip=4496 



1.  4ply  24/18  eq: +0.734 
 Player: Opponent:  74.19% (G:0.00% B:0.00%) 25.81% (G:0.07% B:0.00%)  

2.  4ply  20/14  eq: +0.732 (0.002) 
 Player: Opponent:  74.15% (G:0.00% B:0.00%) 25.85% (G:0.07% B:0.00%)  

3.  4ply  24/19 20/19  eq: +0.731 (0.003) 
 Player: Opponent:  74.09% (G:0.00% B:0.00%) 25.91% (G:0.07% B:0.00%)  

4.  4ply  20/19 10/5  eq: +0.729 (0.005) 
 Player: Opponent:  74.06% (G:0.00% B:0.00%) 25.94% (G:0.05% B:0.00%)  

5.  4ply  20/15 10/9  eq: +0.728 (0.006) 
 Player: Opponent:  74.00% (G:0.00% B:0.00%) 26.00% (G:0.06% B:0.00%)  



42: Cannot Move 

XGID=ECaaabbbbbbA:1:1:1:42:0:1:0:11:3 
Pip=4490 



1.  4ply  Cannot Move  eq: 0.734 
 Player: Opponent:  25.81% (G:0.07% B:0.00%) 74.19% (G:0.00% B:0.00%)  



No double 

XGID=ECaaabbbbbbA:1:1:1:00:0:1:0:11:3 
Pip=4490 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.19% (G:0.00% B:0.00%) 
74.19% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.81% (G:0.07% B:0.00%) 
25.81% (G:0.07% B:0.00%) 
Cubeless Equities 
+0.483 
+0.976 
Cubeful Equities 
No redouble:  +0.734  
Redouble/Take:  +0.731 (0.003)  
Redouble/Pass:  +1.000 (+0.266) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 1.2% 


64: 20/14 10/6 

XGID=ECaaabbbbbbA:1:1:1:64:0:1:0:11:3 
Pip=4490 



1.  4ply  20/14 10/6  eq: +0.742 
 Player: Opponent:  74.27% (G:0.00% B:0.00%) 25.73% (G:0.02% B:0.00%)  

2.  4ply  18/12 10/6  eq: +0.742 (0.000) 
 Player: Opponent:  74.25% (G:0.00% B:0.00%) 25.75% (G:0.02% B:0.00%)  

3.  4ply  20/16 18/12  eq: +0.731 (0.011) 
 Player: Opponent:  73.92% (G:0.00% B:0.00%) 26.08% (G:0.02% B:0.00%)  

4.  4ply  18/8  eq: +0.730 (0.012) 
 Player: Opponent:  73.89% (G:0.00% B:0.00%) 26.11% (G:0.02% B:0.00%)  

5.  4ply  20/10  eq: +0.729 (0.013) 
 Player: Opponent:  73.84% (G:0.00% B:0.00%) 26.16% (G:0.02% B:0.00%)  



33: Cannot Move 

XGID=ECaacbbbbbA:1:1:1:33:0:1:0:11:3 
Pip=4480 



1.  4ply  Cannot Move  eq: 0.742 
 Player: Opponent:  25.73% (G:0.02% B:0.00%) 74.27% (G:0.00% B:0.00%)  



No double 

XGID=ECaacbbbbbA:1:1:1:00:0:1:0:11:3 
Pip=4480 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.27% (G:0.00% B:0.00%) 
74.27% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.73% (G:0.02% B:0.00%) 
25.73% (G:0.02% B:0.00%) 
Cubeless Equities 
+0.485 
+0.981 
Cubeful Equities 
No redouble:  +0.742  
Redouble/Take:  +0.735 (0.007)  
Redouble/Pass:  +1.000 (+0.258) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 2.6% 


43: 18/11 

XGID=ECaacbbbbbA:1:1:1:43:0:1:0:11:3 
Pip=4480 



1.  4ply  18/15 14/10  eq: +0.753 
 Player: Opponent:  74.28% (G:0.00% B:0.00%) 25.72% (G:0.01% B:0.00%)  

2.  4ply  18/11  eq: +0.747 (0.006) 
 Player: Opponent:  74.10% (G:0.00% B:0.00%) 25.90% (G:0.01% B:0.00%)  

3.  4ply  14/7  eq: +0.728 (0.026) 
 Player: Opponent:  73.46% (G:0.00% B:0.00%) 26.54% (G:0.01% B:0.00%)  

4.  4ply  14/10 6/3  eq: +0.697 (0.056) 
 Player: Opponent:  72.53% (G:0.00% B:0.00%) 27.47% (G:0.01% B:0.00%)  

5.  4ply  18/14 6/3  eq: +0.680 (0.073) 
 Player: Opponent:  71.87% (G:0.00% B:0.00%) 28.13% (G:0.01% B:0.00%)  



44: Cannot Move 

XGID=ECaacbbbbbA:1:1:1:44:0:1:0:11:3 
Pip=4473 



1.  4ply  Cannot Move  eq: 0.747 
 Player: Opponent:  25.90% (G:0.01% B:0.00%) 74.10% (G:0.00% B:0.00%)  



No double 

XGID=ECaacbbbbbA:1:1:1:00:0:1:0:11:3 
Pip=4473 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.10% (G:0.00% B:0.00%) 
74.10% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.90% (G:0.01% B:0.00%) 
25.90% (G:0.01% B:0.00%) 
Cubeless Equities 
+0.482 
+0.974 
Cubeful Equities 
No redouble:  +0.747  
Redouble/Take:  +0.730 (0.017)  
Redouble/Pass:  +1.000 (+0.253) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 6.0% 


52: 11/4 

XGID=ECaacbbbbbA:1:1:1:52:0:1:0:11:3 
Pip=4473 



1.  4ply  14/12 11/6  eq: +0.749 
 Player: Opponent:  74.00% (G:0.00% B:0.00%) 26.00% (G:0.00% B:0.00%)  

2.  4ply  14/7  eq: +0.743 (0.007) 
 Player: Opponent:  73.56% (G:0.00% B:0.00%) 26.44% (G:0.00% B:0.00%)  

3.  4ply  14/9 6/4  eq: +0.739 (0.011) 
 Player: Opponent:  73.56% (G:0.00% B:0.00%) 26.44% (G:0.00% B:0.00%)  

4.  4ply  14/9 11/9  eq: +0.736 (0.014) 
 Player: Opponent:  73.31% (G:0.00% B:0.00%) 26.69% (G:0.00% B:0.00%)  

5.  4ply  11/4  eq: +0.733 (0.016) 
 Player: Opponent:  73.28% (G:0.00% B:0.00%) 26.72% (G:0.00% B:0.00%)  



65: Cannot Move 

XGID=ECacbcbbbA:1:1:1:65:0:1:0:11:3 
Pip=4466 



1.  4ply  Cannot Move  eq: 0.733 
 Player: Opponent:  26.72% (G:0.00% B:0.00%) 73.28% (G:0.00% B:0.00%)  



No double 

XGID=ECacbcbbbA:1:1:1:00:0:1:0:11:3 
Pip=4466 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
73.28% (G:0.00% B:0.00%) 
73.28% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
26.72% (G:0.00% B:0.00%) 
26.72% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.466 
+0.941 
Cubeful Equities 
No redouble:  +0.733  
Redouble/Take:  +0.691 (0.043)  
Redouble/Pass:  +1.000 (+0.267) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 12.1% 


43: 14/7 

XGID=ECacbcbbbA:1:1:1:43:0:1:0:11:3 
Pip=4466 



1.  4ply  14/7  eq: +0.773 
 Player: Opponent:  74.12% (G:0.00% B:0.00%) 25.88% (G:0.00% B:0.00%)  

2.  4ply  14/10 4/1  eq: +0.692 (0.081) 
 Player: Opponent:  71.33% (G:0.00% B:0.00%) 28.67% (G:0.00% B:0.00%)  

3.  4ply  14/10 6/3  eq: +0.692 (0.081) 
 Player: Opponent:  71.12% (G:0.00% B:0.00%) 28.88% (G:0.00% B:0.00%)  

4.  4ply  14/11 6/2  eq: +0.690 (0.083) 
 Player: Opponent:  71.22% (G:0.00% B:0.00%) 28.78% (G:0.00% B:0.00%)  

5.  3ply  6/2 4/1  eq: +0.565 (0.208) 
 Player: Opponent:  67.10% (G:0.00% B:0.00%) 32.90% (G:0.00% B:0.00%)  



62: Cannot Move 

XGID=ECacbcbbbA:1:1:1:62:0:1:0:11:3 
Pip=4459 



1.  4ply  Cannot Move  eq: 0.773 
 Player: Opponent:  25.88% (G:0.00% B:0.00%) 74.12% (G:0.00% B:0.00%)  



No double 

XGID=ECacbcbbbA:1:1:1:00:0:1:0:11:3 
Pip=4459 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.12% (G:0.00% B:0.00%) 
74.12% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
25.88% (G:0.00% B:0.00%) 
25.88% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.482 
+0.975 
Cubeful Equities 
No redouble:  +0.773  
Redouble/Take:  +0.743 (0.030)  
Redouble/Pass:  +1.000 (+0.227) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 10.3% 


54: 7/2 4/Off 

XGID=ECacbcbbbA:1:1:1:54:0:1:0:11:3 
Pip=4459 



1.  4ply  7/2 4/Off  eq: +0.732 
 Player: Opponent:  71.65% (G:0.00% B:0.00%) 28.35% (G:0.00% B:0.00%)  

2.  4ply  7/3 6/1  eq: +0.647 (0.085) 
 Player: Opponent:  68.92% (G:0.00% B:0.00%) 31.08% (G:0.00% B:0.00%)  

3.  3ply  7/2 6/2  eq: +0.575 (0.156) 
 Player: Opponent:  66.88% (G:0.00% B:0.00%) 33.12% (G:0.00% B:0.00%)  

4.  2ply  7/3 5/Off  eq: +0.263 (0.469) 
 Player: Opponent:  54.20% (G:0.00% B:0.00%) 45.80% (G:0.00% B:0.00%)  

5.  1ply  6/2 6/1  eq: +0.113 (0.619) 
 Player: Opponent:  48.79% (G:0.00% B:0.00%) 51.21% (G:2.48% B:0.07%)  



41: Cannot Move 

XGID=ECcbbbcbA:1:1:1:41:0:1:0:11:3 
Pip=4450 



1.  4ply  Cannot Move  eq: 0.732 
 Player: Opponent:  28.35% (G:0.00% B:0.00%) 71.65% (G:0.00% B:0.00%)  



No double 

XGID=ECcbbbcbA:1:1:1:00:0:1:0:11:3 
Pip=4450 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
71.65% (G:0.00% B:0.00%) 
71.65% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
28.35% (G:0.00% B:0.00%) 
28.35% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.433 
+0.874 
Cubeful Equities 
No redouble:  +0.732  
Redouble/Take:  +0.622 (0.110)  
Redouble/Pass:  +1.000 (+0.268) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 22.6% 


21: 6/5 2/Off 

XGID=ECcbbbcbA:1:1:1:21:0:1:0:11:3 
Pip=4450 



1.  3ply  6/5 2/Off  eq: +0.877 
 Player: Opponent:  76.54% (G:0.00% B:0.00%) 23.46% (G:0.00% B:0.00%)  

2.  3ply  6/3  eq: +0.752 (0.125) 
 Player: Opponent:  73.76% (G:0.00% B:0.00%) 26.24% (G:0.00% B:0.00%)  

3.  3ply  6/4 2/1  eq: +0.745 (0.132) 
 Player: Opponent:  72.90% (G:0.00% B:0.00%) 27.10% (G:0.00% B:0.00%)  

4.  3ply  2/Off 1/Off  eq: +0.539 (0.338) 
 Player: Opponent:  65.90% (G:0.00% B:0.00%) 34.10% (G:0.00% B:0.00%)  

5.  2ply  6/4 1/Off  eq: +0.543 (0.334) 
 Player: Opponent:  66.20% (G:0.00% B:0.00%) 33.80% (G:0.00% B:0.00%)  



51: Cannot Move 

XGID=ECbcbbbbA:1:1:1:51:0:1:0:11:3 
Pip=4447 



1.  4ply  Cannot Move  eq: 0.876 
 Player: Opponent:  23.47% (G:0.00% B:0.00%) 76.53% (G:0.00% B:0.00%)  



Double/Pass 

XGID=ECbcbbbbA:1:1:1:00:0:1:0:11:3 
Pip=4447 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
76.39% (G:0.00% B:0.00%) 
76.77% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
23.61% (G:0.00% B:0.00%) 
23.23% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.528 
+1.083 
Cubeful Equities 
No redouble:  +0.833 (0.043)  
Redouble/Take:  +0.876  
Redouble/Pass:  +1.000 (+0.124) 

Best Cube action: Redouble / Take 


Wins 2pts. 



