62: 24/18 13/11 

XGID=bECeEceB:0:0:1:62:0:3:0:11:3 
Pip=167167 



1.  Book^{1}  24/18 13/11  eq: 0.029 
 Player: Opponent:  50.77% (G:12.86% B:0.60%) 49.23% (G:13.47% B:0.54%)  

2.  Book^{1}  24/16  eq: 0.057 (0.028) 
 Player: Opponent:  50.27% (G:11.87% B:0.52%) 49.73% (G:13.60% B:0.49%)  

3.  Book^{1}  13/5  eq: 0.080 (0.051) 
 Player: Opponent:  49.12% (G:13.77% B:0.64%) 50.88% (G:13.72% B:0.68%)  

4.  Book^{1}  24/22 13/7  eq: 0.126 (0.097) 
 Player: Opponent:  48.01% (G:12.82% B:0.51%) 51.99% (G:13.88% B:0.60%)  

5.  Book^{1}  24/22 24/18  eq: 0.129 (0.100) 
 Player: Opponent:  48.73% (G:11.74% B:0.50%) 51.27% (G:14.52% B:0.48%)  


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



52: 24/22 6/1* 

XGID=aEaCdEaceB:0:0:1:52:0:3:0:11:3 
Pip=167159 



1.  4ply  24/22 6/1*  eq: 0.157 
 Player: Opponent:  44.39% (G:11.45% B:0.35%) 55.61% (G:13.64% B:0.64%)  

2.  4ply  24/22 13/8  eq: 0.162 (0.005) 
 Player: Opponent:  44.60% (G:10.56% B:0.34%) 55.40% (G:13.58% B:0.52%)  

3.  4ply  13/8 6/4  eq: 0.194 (0.037) 
 Player: Opponent:  43.79% (G:10.60% B:0.36%) 56.21% (G:14.23% B:0.75%)  

4.  4ply  13/11 6/1*  eq: 0.226 (0.069) 
 Player: Opponent:  43.03% (G:11.54% B:0.40%) 56.97% (G:15.96% B:1.10%)  

5.  4ply  13/11 13/8  eq: 0.237 (0.080) 
 Player: Opponent:  42.71% (G:10.71% B:0.37%) 57.29% (G:15.21% B:0.84%)  



63: Bar/16 

XGID=aADaCdEaceAA:0:0:1:63:0:3:0:11:3 
Pip=160160 



1.  4ply  Bar/16  eq: 0.048 
 Player: Opponent:  51.43% (G:11.49% B:0.54%) 48.57% (G:15.17% B:0.47%)  

2.  4ply  Bar/22 13/7  eq: 0.159 (0.111) 
 Player: Opponent:  48.39% (G:12.52% B:0.59%) 51.61% (G:16.76% B:0.78%)  

3.  3ply  Bar/22 11/5  eq: 0.192 (0.144) 
 Player: Opponent:  47.53% (G:11.55% B:0.51%) 52.47% (G:16.69% B:0.53%)  

4.  3ply  Bar/22 8/2  eq: 0.225 (0.177) 
 Player: Opponent:  46.90% (G:12.12% B:0.54%) 53.10% (G:17.69% B:0.81%)  



62: 22/14* 

XGID=ADaCadEaceAA:0:0:1:62:0:3:0:11:3 
Pip=160151 



1.  4ply  22/14*  eq: 0.068 
 Player: Opponent:  47.03% (G:11.99% B:0.41%) 52.97% (G:13.64% B:0.68%)  

2.  4ply  24/22 13/7*  eq: 0.118 (0.050) 
 Player: Opponent:  44.71% (G:11.47% B:0.30%) 55.29% (G:11.21% B:0.42%)  

3.  4ply  22/20 13/7*  eq: 0.134 (0.067) 
 Player: Opponent:  45.02% (G:11.69% B:0.37%) 54.98% (G:13.48% B:0.75%)  

4.  3ply  13/7* 8/6  eq: 0.199 (0.131) 
 Player: Opponent:  43.13% (G:11.95% B:0.38%) 56.87% (G:14.43% B:0.80%)  

5.  3ply  13/11 13/7*  eq: 0.223 (0.155) 
 Player: Opponent:  43.08% (G:11.69% B:0.42%) 56.92% (G:16.00% B:1.07%)  



54: Bar/21 16/11* 

XGID=aADaCadEAceA:0:0:1:54:0:3:0:11:3 
Pip=152165 



1.  3ply  Bar/21 16/11*  eq: +0.138 
 Player: Opponent:  54.97% (G:13.57% B:0.72%) 45.03% (G:11.35% B:0.36%)  

2.  3ply  Bar/16  eq: 0.024 (0.162) 
 Player: Opponent:  50.69% (G:9.43% B:0.38%) 49.31% (G:10.56% B:0.17%)  

3.  2ply  Bar/21 18/13  eq: 0.175 (0.313) 
 Player: Opponent:  47.14% (G:9.92% B:0.38%) 52.86% (G:13.92% B:0.36%)  

4.  2ply  Bar/21 6/1*  eq: 0.255 (0.393) 
 Player: Opponent:  45.51% (G:10.82% B:0.49%) 54.49% (G:16.49% B:0.80%)  

5.  2ply  Bar/20 18/14  eq: 0.287 (0.425) 
 Player: Opponent:  44.81% (G:9.86% B:0.47%) 55.19% (G:16.61% B:0.68%)  



41: Bar/21 8/7* 

XGID=AaDaCdEaceAA:0:0:1:41:0:3:0:11:3 
Pip=163156 



1.  4ply  Bar/21 8/7*  eq: 0.233 
 Player: Opponent:  43.38% (G:10.75% B:0.36%) 56.62% (G:16.55% B:0.97%)  

2.  4ply  Bar/21 24/23  eq: 0.292 (0.059) 
 Player: Opponent:  41.23% (G:8.84% B:0.26%) 58.77% (G:13.73% B:0.56%)  

3.  4ply  Bar/24 8/4*  eq: 0.308 (0.075) 
 Player: Opponent:  41.06% (G:10.84% B:0.35%) 58.94% (G:16.79% B:1.19%)  

4.  4ply  Bar/20  eq: 0.318 (0.085) 
 Player: Opponent:  40.67% (G:9.23% B:0.27%) 59.33% (G:14.56% B:0.71%)  

5.  4ply  Bar/21 6/5  eq: 0.347 (0.114) 
 Player: Opponent:  40.03% (G:9.08% B:0.27%) 59.97% (G:15.34% B:0.80%)  



43: Bar/18* 

XGID=aAaDABdEaceAA:0:0:1:43:0:3:0:11:3 
Pip=158163 



1.  3ply  Bar/18*  eq: +0.290 
 Player: Opponent:  58.78% (G:15.34% B:0.82%) 41.22% (G:10.15% B:0.33%)  

2.  3ply  Bar/21 11/8  eq: +0.093 (0.197) 
 Player: Opponent:  53.14% (G:11.70% B:0.44%) 46.86% (G:9.23% B:0.22%)  

3.  3ply  Bar/21 13/10  eq: +0.083 (0.207) 
 Player: Opponent:  52.85% (G:13.03% B:0.60%) 47.15% (G:10.28% B:0.28%)  

4.  3ply  Bar/21 6/3  eq: +0.059 (0.231) 
 Player: Opponent:  52.31% (G:12.79% B:0.57%) 47.69% (G:10.64% B:0.30%)  

5.  2ply  Bar/22 8/4*  eq: 0.010 (0.300) 
 Player: Opponent:  51.35% (G:14.50% B:0.90%) 48.65% (G:14.61% B:0.67%)  



63: Bar/22 13/7* 

XGID=AaDaBdEaceAAA:0:0:1:63:0:3:0:11:3 
Pip=176156 



1.  3ply  Bar/22 13/7*  eq: 0.293 
 Player: Opponent:  42.38% (G:10.48% B:0.39%) 57.62% (G:18.75% B:1.23%)  

2.  3ply  Bar/16  eq: 0.457 (0.164) 
 Player: Opponent:  38.03% (G:8.64% B:0.29%) 61.97% (G:18.89% B:1.13%)  

3.  3ply  Bar/22 21/15  eq: 0.485 (0.192) 
 Player: Opponent:  37.11% (G:8.65% B:0.31%) 62.89% (G:19.38% B:1.10%)  

4.  3ply  Bar/22 24/18  eq: 0.498 (0.205) 
 Player: Opponent:  37.29% (G:8.29% B:0.35%) 62.71% (G:19.99% B:1.08%)  

5.  2ply  Bar/22 8/2  eq: 0.726 (0.433) 
 Player: Opponent:  33.04% (G:7.16% B:0.27%) 66.96% (G:23.94% B:1.94%)  



41: Bar/24* 8/4* 

XGID=aAaDABdDaceAAA:0:0:1:41:0:3:0:11:3 
Pip=167163 



1.  4ply  Bar/24* 8/4*  eq: +0.288 
 Player: Opponent:  55.84% (G:22.02% B:1.88%) 44.16% (G:10.11% B:0.48%)  

2.  4ply  Bar/24* 24/20  eq: +0.180 (0.109) 
 Player: Opponent:  54.52% (G:17.43% B:0.87%) 45.48% (G:10.46% B:0.41%)  

3.  3ply  Bar/24* 13/9  eq: +0.165 (0.123) 
 Player: Opponent:  53.91% (G:18.64% B:1.29%) 46.09% (G:11.13% B:0.51%)  

4.  3ply  Bar/24* 11/7  eq: +0.146 (0.142) 
 Player: Opponent:  53.60% (G:16.93% B:1.05%) 46.40% (G:10.53% B:0.39%)  

5.  3ply  Bar/21 11/10  eq: +0.143 (0.145) 
 Player: Opponent:  54.50% (G:13.70% B:0.65%) 45.50% (G:10.15% B:0.26%)  



21: Bar/24 Bar/23 

XGID=aaDABdDabeaAAB:0:0:1:21:0:3:0:11:3 
Pip=195158 



1.  3ply  Bar/24 Bar/23  eq: 0.381 
 Player: Opponent:  42.42% (G:8.94% B:0.40%) 57.58% (G:24.08% B:2.51%)  



54: 13/4 

XGID=aaDABdDabeaAAB:0:0:1:54:0:3:0:11:3 
Pip=192158 



1.  4ply  13/4  eq: +0.349 
 Player: Opponent:  57.05% (G:23.73% B:2.07%) 42.95% (G:9.62% B:0.43%)  

2.  4ply  8/4 8/3*  eq: +0.276 (0.073) 
 Player: Opponent:  55.13% (G:23.05% B:2.47%) 44.87% (G:10.47% B:0.51%)  

3.  2ply  11/6 8/4  eq: +0.062 (0.287) 
 Player: Opponent:  50.70% (G:19.25% B:1.69%) 49.30% (G:11.98% B:0.57%)  

4.  2ply  21/16 8/4  eq: +0.060 (0.289) 
 Player: Opponent:  51.45% (G:18.85% B:1.66%) 48.55% (G:13.22% B:0.77%)  

5.  2ply  24/20 13/8  eq: +0.053 (0.296) 
 Player: Opponent:  51.70% (G:16.77% B:1.24%) 48.30% (G:12.60% B:0.70%)  



62: 24/22 13/7 

XGID=aaDABcDabebAAB:0:0:1:62:0:3:0:11:3 
Pip=192149 



1.  4ply  24/22 13/7  eq: 0.315 
 Player: Opponent:  42.96% (G:9.54% B:0.43%) 57.04% (G:21.50% B:1.15%)  

2.  4ply  13/7 6/4*  eq: 0.335 (0.020) 
 Player: Opponent:  44.03% (G:9.87% B:0.52%) 55.97% (G:25.47% B:3.10%)  

3.  3ply  22/20 13/7  eq: 0.465 (0.151) 
 Player: Opponent:  40.60% (G:8.91% B:0.41%) 59.40% (G:25.40% B:2.71%)  

4.  3ply  13/11 13/7  eq: 0.468 (0.153) 
 Player: Opponent:  40.93% (G:9.00% B:0.43%) 59.07% (G:26.70% B:3.22%)  

5.  3ply  22/14*  eq: 0.474 (0.159) 
 Player: Opponent:  40.58% (G:7.99% B:0.30%) 59.42% (G:25.52% B:2.80%)  



52: 21/16 13/11 

XGID=aaDBBcCabebBAA:0:0:1:52:0:3:0:11:3 
Pip=184149 



1.  4ply  21/16 13/11  eq: +0.281 
 Player: Opponent:  56.55% (G:20.46% B:0.99%) 43.45% (G:10.08% B:0.43%)  

2.  4ply  24/22 21/16  eq: +0.241 (0.040) 
 Player: Opponent:  55.94% (G:19.27% B:0.97%) 44.06% (G:10.61% B:0.45%)  

3.  4ply  13/11 6/1*  eq: +0.208 (0.072) 
 Player: Opponent:  54.65% (G:20.28% B:0.84%) 45.35% (G:10.73% B:0.48%)  

4.  4ply  21/16 6/4  eq: +0.203 (0.078) 
 Player: Opponent:  54.83% (G:19.34% B:0.97%) 45.17% (G:10.83% B:0.49%)  

5.  4ply  21/14  eq: +0.188 (0.093) 
 Player: Opponent:  54.47% (G:18.95% B:0.93%) 45.53% (G:10.87% B:0.48%)  



43: 23/20 13/9* 

XGID=aDBBabCbbebBAA:0:0:1:43:0:3:0:11:3 
Pip=184142 



1.  XG Roller+  24/20 23/20  eq: 0.179 
 Player: Opponent:  45.14% (G:9.70% B:0.36%) 54.86% (G:15.31% B:0.48%)  

2.  XG Roller+  23/20 13/9*  eq: 0.243 (0.064) 
 Player: Opponent:  44.74% (G:10.70% B:0.51%) 55.26% (G:21.04% B:1.16%)  

3.  4ply  13/10 13/9*  eq: 0.316 (0.137) 
 Player: Opponent:  43.79% (G:10.71% B:0.65%) 56.21% (G:25.13% B:1.96%)  

4.  3ply  13/9* 9/6  eq: 0.302 (0.123) 
 Player: Opponent:  42.58% (G:10.47% B:0.43%) 57.42% (G:20.42% B:0.94%)  

5.  3ply  13/9* 6/3  eq: 0.309 (0.130) 
 Player: Opponent:  44.53% (G:10.18% B:0.49%) 55.47% (G:25.68% B:1.91%)  



42: Bar/21 24/22 

XGID=aaDBBAbBbbeAbBA:0:0:1:42:0:3:0:11:3 
Pip=177151 



1.  4ply  Bar/21 6/4  eq: +0.142 
 Player: Opponent:  53.57% (G:18.45% B:0.81%) 46.43% (G:11.79% B:0.52%)  

2.  4ply  Bar/23 24/20  eq: +0.134 (0.008) 
 Player: Opponent:  53.38% (G:18.30% B:0.87%) 46.62% (G:11.89% B:0.50%)  

3.  4ply  Bar/21 24/22  eq: +0.127 (0.015) 
 Player: Opponent:  53.55% (G:17.57% B:0.78%) 46.45% (G:12.14% B:0.48%)  

4.  3ply  Bar/23 6/2  eq: 0.003 (0.145) 
 Player: Opponent:  50.64% (G:16.92% B:0.81%) 49.36% (G:13.96% B:0.77%)  

5.  3ply  Bar/21 13/11  eq: 0.046 (0.188) 
 Player: Opponent:  49.22% (G:16.16% B:0.93%) 50.78% (G:13.34% B:0.71%)  



53: 8/3* 6/3 

XGID=aaDBBAbBbbeAbBA:0:0:1:53:0:3:0:11:3 
Pip=177145 



1.  XG Roller+  9/4* 7/4  eq: 0.219 
 Player: Opponent:  44.38% (G:12.08% B:0.53%) 55.62% (G:19.77% B:1.06%)  

2.  XG Roller+  8/3* 6/3  eq: 0.327 (0.108) 
 Player: Opponent:  42.47% (G:11.29% B:0.55%) 57.53% (G:22.80% B:1.44%)  

3.  4ply  9/4* 6/3*  eq: 0.268 (0.049) 
 Player: Opponent:  44.45% (G:10.98% B:0.52%) 55.55% (G:22.97% B:1.51%)  

4.  3ply  20/15 6/3*  eq: 0.385 (0.166) 
 Player: Opponent:  42.68% (G:9.30% B:0.39%) 57.32% (G:25.83% B:1.93%)  

5.  3ply  13/10 9/4*  eq: 0.425 (0.205) 
 Player: Opponent:  42.02% (G:9.78% B:0.51%) 57.98% (G:28.18% B:2.43%)  



63: Cannot Move 

XGID=aBaCBAAbBbbeAbBA:0:0:1:63:0:3:0:11:3 
Pip=169148 



1.  4ply  Cannot Move  eq: 0.198 
 Player: Opponent:  47.36% (G:15.42% B:0.87%) 52.64% (G:19.29% B:0.75%)  



54: 9/4* 8/4 

XGID=aBaCBAAbBbbeAbBA:0:0:1:54:0:3:0:11:3 
Pip=169148 



1.  3ply  9/4* 8/4  eq: +0.453 
 Player: Opponent:  57.35% (G:23.57% B:0.84%) 42.65% (G:11.93% B:0.55%)  

2.  2ply  24/20 9/4*  eq: +0.164 (0.288) 
 Player: Opponent:  52.06% (G:17.14% B:0.65%) 47.94% (G:13.87% B:0.54%)  

3.  2ply  13/4*  eq: +0.026 (0.427) 
 Player: Opponent:  49.31% (G:17.43% B:0.84%) 50.69% (G:19.40% B:1.58%)  

4.  2ply  20/16 9/4*  eq: +0.023 (0.430) 
 Player: Opponent:  49.22% (G:17.20% B:0.74%) 50.78% (G:18.89% B:1.30%)  

5.  2ply  20/15 8/4*  eq: +0.012 (0.441) 
 Player: Opponent:  48.79% (G:17.07% B:0.78%) 51.21% (G:18.48% B:1.23%)  



42: Bar/23 

XGID=bBBCBbBbbeAbBA:0:0:1:42:0:3:0:11:3 
Pip=160152 



1.  3ply  Bar/23  eq: 0.457 
 Player: Opponent:  42.49% (G:11.61% B:0.55%) 57.51% (G:23.47% B:0.99%)  



No double 

XGID=aaBBCBbBbbeAbBA:0:0:1:00:0:3:0:11:3 
Pip=160150 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.25% (G:23.44% B:0.88%) 
57.21% (G:23.66% B:0.87%) 
Opponent Winning Chances: 
42.75% (G:11.56% B:0.55%) 
42.79% (G:11.69% B:0.56%) 
Cubeless Equities 
+0.261 
+0.561 
Cubeful Equities 
No double:  +0.446  
Double/Take:  +0.367 (0.079)  
Double/Pass:  +1.000 (+0.554) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.1% 


51: 24/18 

XGID=aaBBCBbBbbeAbBA:0:0:1:51:0:3:0:11:3 
Pip=160150 



1.  XG Roller+  24/23 7/2*  eq: +0.303 
 Player: Opponent:  53.19% (G:22.84% B:0.82%) 46.81% (G:14.56% B:0.75%)  

2.  XG Roller+  24/18  eq: +0.204 (0.099) 
 Player: Opponent:  52.68% (G:19.10% B:0.86%) 47.32% (G:14.19% B:0.69%)  

3.  4ply  24/23 20/15  eq: +0.232 (0.071) 
 Player: Opponent:  52.99% (G:19.64% B:1.00%) 47.01% (G:14.14% B:0.67%)  

4.  4ply  7/2* 2/1  eq: +0.203 (0.100) 
 Player: Opponent:  51.21% (G:22.25% B:0.64%) 48.79% (G:15.70% B:0.88%)  

5.  4ply  7/2* 3/2  eq: +0.175 (0.128) 
 Player: Opponent:  50.45% (G:21.91% B:0.75%) 49.55% (G:16.71% B:1.00%)  



42: Bar/23 11/7* 

XGID=aaBBCBbBbbAeAbB:0:0:1:42:0:3:0:11:3 
Pip=154150 



1.  XG Roller+  Bar/23 6/2  eq: 0.285 
 Player: Opponent:  44.83% (G:13.42% B:0.56%) 55.17% (G:17.58% B:0.92%)  

2.  XG Roller+  Bar/23 11/7*  eq: 0.429 (0.144) 
 Player: Opponent:  42.15% (G:12.92% B:0.60%) 57.85% (G:20.55% B:1.34%)  

3.  2ply  Bar/23 8/4  eq: 0.682 (0.397) 
 Player: Opponent:  36.03% (G:8.89% B:0.30%) 63.97% (G:21.21% B:1.05%)  

4.  1ply  Bar/23 13/9  eq: 0.853 (0.568) 
 Player: Opponent:  34.95% (G:9.05% B:0.41%) 65.05% (G:25.82% B:1.97%)  



No double 

XGID=bBBCBbBabaeAbBA:0:0:1:00:0:3:0:11:3 
Pip=161144 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.55% (G:20.57% B:1.25%) 
57.56% (G:20.54% B:1.25%) 
Opponent Winning Chances: 
42.45% (G:12.62% B:0.53%) 
42.44% (G:12.62% B:0.53%) 
Cubeless Equities 
+0.231 
+0.496 
Cubeful Equities 
No double:  +0.412  
Double/Take:  +0.312 (0.100)  
Double/Pass:  +1.000 (+0.588) 

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


43: Bar/18* 

XGID=bBBCBbBabaeAbBA:0:0:1:43:0:3:0:11:3 
Pip=161144 



1.  3ply  Bar/18*  eq: +0.590 
 Player: Opponent:  61.26% (G:23.41% B:1.53%) 38.74% (G:10.27% B:0.39%)  

2.  1ply  Bar/22 20/16  eq: +0.068 (0.522) 
 Player: Opponent:  50.28% (G:15.00% B:0.64%) 49.72% (G:14.58% B:0.49%)  

3.  1ply  Bar/22 13/9  eq: 0.230 (0.819) 
 Player: Opponent:  43.55% (G:13.65% B:0.71%) 56.45% (G:21.58% B:1.05%)  

4.  1ply  Bar/22 7/3  eq: 0.494 (1.084) 
 Player: Opponent:  37.07% (G:11.48% B:0.59%) 62.93% (G:24.82% B:1.24%)  



53: Bar/20 23/20 

XGID=abBBCBbBabAeAbB:0:0:1:53:0:3:0:11:3 
Pip=154162 



1.  3ply  Bar/20 23/20  eq: 0.307 
 Player: Opponent:  43.68% (G:10.16% B:0.33%) 56.32% (G:15.31% B:0.62%)  

2.  3ply  Bar/20 11/8  eq: 0.487 (0.181) 
 Player: Opponent:  39.57% (G:10.09% B:0.38%) 60.43% (G:17.74% B:0.96%)  

3.  2ply  Bar/17  eq: 0.787 (0.480) 
 Player: Opponent:  36.30% (G:9.11% B:0.38%) 63.70% (G:26.01% B:1.78%)  

4.  1ply  Bar/20 8/5*  eq: 0.818 (0.511) 
 Player: Opponent:  37.17% (G:10.86% B:0.45%) 62.83% (G:29.16% B:3.04%)  

5.  1ply  Bar/20 4/1  eq: 1.000 (0.693) 
 Player: Opponent:  28.15% (G:6.57% B:0.27%) 71.85% (G:34.29% B:3.57%)  



No double 

XGID=aBBbCBbBabAeAbB:0:0:1:00:0:3:0:11:3 
Pip=154154 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
56.58% (G:15.43% B:0.56%) 
56.58% (G:15.43% B:0.56%) 
Opponent Winning Chances: 
43.42% (G:10.16% B:0.32%) 
43.42% (G:10.18% B:0.32%) 
Cubeless Equities 
+0.180 
+0.377 
Cubeful Equities 
No double:  +0.315  
Double/Take:  +0.173 (0.143)  
Double/Pass:  +1.000 (+0.685) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.7% 


66: 22/16(2) 20/14* 14/8 

XGID=aBBbCBbBabAeAbB:0:0:1:66:0:3:0:11:3 
Pip=154154 



1.  XG Roller+  22/16(2) 20/14* 13/7  eq: +0.701 
 Player: Opponent:  65.55% (G:17.92% B:0.63%) 34.45% (G:7.52% B:0.24%)  

2.  XG Roller+  22/16(2) 20/14* 14/8  eq: +0.638 (0.063) 
 Player: Opponent:  63.96% (G:18.13% B:0.76%) 36.04% (G:8.66% B:0.29%)  

3.  4ply  22/16 22/10 20/14*  eq: +0.652 (0.048) 
 Player: Opponent:  63.87% (G:19.58% B:0.88%) 36.13% (G:9.79% B:0.60%)  

4.  4ply  22/16 20/14* 14/2*  eq: +0.652 (0.049) 
 Player: Opponent:  63.16% (G:22.24% B:0.75%) 36.84% (G:9.39% B:0.44%)  

5.  4ply  22/4 20/14*  eq: +0.622 (0.078) 
 Player: Opponent:  61.72% (G:21.37% B:0.87%) 38.28% (G:9.31% B:0.39%)  



41: Bar/20 

XGID=aaBBbCBAbBBbAeb:0:0:1:41:0:3:0:11:3 
Pip=130168 



1.  3ply  Bar/20  eq: 0.706 
 Player: Opponent:  33.34% (G:6.74% B:0.21%) 66.66% (G:15.67% B:0.42%)  

2.  3ply  Bar/24 6/2  eq: 0.940 (0.233) 
 Player: Opponent:  32.06% (G:6.96% B:0.25%) 67.94% (G:23.19% B:0.87%)  

3.  2ply  Bar/24 8/4  eq: 1.000 (0.294) 
 Player: Opponent:  29.85% (G:6.25% B:0.23%) 70.15% (G:28.03% B:1.53%)  

4.  2ply  Bar/24 20/16  eq: 1.107 (0.401) 
 Player: Opponent:  25.94% (G:5.81% B:0.37%) 74.06% (G:42.38% B:5.08%)  



No double 

XGID=aBBcCBAbBBbAeb:0:0:1:00:0:3:0:11:3 
Pip=130163 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
67.12% (G:15.12% B:0.43%) 
66.96% (G:14.86% B:0.40%) 
Opponent Winning Chances: 
32.88% (G:6.68% B:0.21%) 
33.04% (G:6.54% B:0.22%) 
Cubeless Equities 
+0.426 
+0.865 
Cubeful Equities 
No double:  +0.718  
Double/Take:  +0.703 (0.014)  
Double/Pass:  +1.000 (+0.282) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.7% 


65: 8/2* 7/2 

XGID=aBBcCBAbBBbAeb:0:0:1:65:0:3:0:11:3 
Pip=130163 



1.  XG Roller+  13/8 13/7  eq: +0.889 
 Player: Opponent:  69.70% (G:17.36% B:0.55%) 30.30% (G:5.40% B:0.17%)  

2.  XG Roller+  8/2* 7/2  eq: +0.734 (0.155) 
 Player: Opponent:  66.26% (G:20.24% B:0.46%) 33.74% (G:7.12% B:0.24%)  

3.  3ply  18/13 8/2*  eq: +0.711 (0.178) 
 Player: Opponent:  66.55% (G:16.57% B:0.43%) 33.45% (G:6.69% B:0.18%)  

4.  2ply  18/7  eq: +0.626 (0.263) 
 Player: Opponent:  64.18% (G:15.83% B:0.42%) 35.82% (G:7.66% B:0.19%)  

5.  2ply  13/7 8/3  eq: +0.468 (0.421) 
 Player: Opponent:  60.03% (G:17.35% B:0.55%) 39.97% (G:10.53% B:0.35%)  



52: Bar/18* 

XGID=aBBBcCAbBBbAeb:0:0:1:52:0:3:0:11:3 
Pip=119165 



1.  3ply  Bar/18*  eq: 0.287 
 Player: Opponent:  43.89% (G:11.74% B:0.39%) 56.11% (G:15.36% B:0.44%)  

2.  3ply  Bar/20 6/4  eq: 0.556 (0.268) 
 Player: Opponent:  36.47% (G:7.05% B:0.22%) 63.53% (G:13.98% B:0.34%)  

3.  1ply  Bar/20 4/2  eq: 0.860 (0.572) 
 Player: Opponent:  31.21% (G:5.13% B:0.18%) 68.79% (G:16.96% B:0.47%)  

4.  1ply  Bar/20 8/6  eq: 0.945 (0.658) 
 Player: Opponent:  31.15% (G:5.62% B:0.16%) 68.85% (G:21.00% B:0.52%)  

5.  1ply  Bar/20 13/11  eq: 1.138 (0.850) 
 Player: Opponent:  22.17% (G:3.73% B:0.19%) 77.83% (G:41.89% B:1.77%)  



No double 

XGID=BBBcCabBBbAebA:0:0:1:00:0:3:0:11:3 
Pip=137158 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.09% (G:15.45% B:0.45%) 
57.09% (G:15.40% B:0.44%) 
Opponent Winning Chances: 
42.91% (G:11.03% B:0.40%) 
42.91% (G:11.00% B:0.40%) 
Cubeless Equities 
+0.179 
+0.375 
Cubeful Equities 
No double:  +0.329  
Double/Take:  +0.183 (0.146)  
Double/Pass:  +1.000 (+0.671) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.2% 


42: Bar/23 18/14 

XGID=BBBcCabBBbAebA:0:0:1:42:0:3:0:11:3 
Pip=137158 



1.  3ply  Bar/23 18/14  eq: +0.211 
 Player: Opponent:  54.72% (G:13.90% B:0.39%) 45.28% (G:11.89% B:0.41%)  

2.  3ply  Bar/23 6/2  eq: +0.084 (0.127) 
 Player: Opponent:  51.42% (G:14.15% B:0.36%) 48.58% (G:14.58% B:0.55%)  

3.  2ply  Bar/23 13/9  eq: 0.331 (0.542) 
 Player: Opponent:  41.37% (G:11.80% B:0.54%) 58.63% (G:22.04% B:1.44%)  



52: 18/11* 

XGID=BBBcCabBABbebA:0:0:1:52:0:3:0:11:3 
Pip=131158 



1.  4ply  18/11*  eq: 0.141 
 Player: Opponent:  47.18% (G:12.92% B:0.47%) 52.82% (G:13.59% B:0.41%)  

2.  4ply  18/13 6/4  eq: 0.219 (0.079) 
 Player: Opponent:  43.83% (G:9.67% B:0.27%) 56.17% (G:9.77% B:0.29%)  

3.  2ply  20/13  eq: 0.385 (0.244) 
 Player: Opponent:  40.75% (G:9.10% B:0.38%) 59.25% (G:14.53% B:0.28%)  

4.  2ply  13/8 13/11*  eq: 0.426 (0.286) 
 Player: Opponent:  41.05% (G:11.02% B:0.44%) 58.95% (G:19.39% B:0.64%)  

5.  2ply  20/18 6/1  eq: 0.442 (0.301) 
 Player: Opponent:  40.00% (G:10.48% B:0.28%) 60.00% (G:17.68% B:0.50%)  



62: Bar/23 13/7 

XGID=BBBcCbBaBbebAA:0:0:1:62:0:3:0:11:3 
Pip=142151 



1.  4ply  Bar/23 13/7  eq: 0.214 
 Player: Opponent:  43.37% (G:11.84% B:0.41%) 56.63% (G:16.51% B:0.76%)  

2.  4ply  Bar/23 16/10  eq: 0.319 (0.105) 
 Player: Opponent:  41.04% (G:10.72% B:0.40%) 58.96% (G:17.48% B:0.83%)  



33: 8/5(2) 6/3(2) 

XGID=BBBcCAbAaBbebB:0:0:1:33:0:3:0:11:3 
Pip=134151 



1.  3ply  8/5(2) 6/3(2)  eq: +0.521 
 Player: Opponent:  63.30% (G:22.55% B:1.03%) 36.70% (G:10.19% B:0.29%)  

2.  3ply  11/5 8/5(2)  eq: +0.324 (0.197) 
 Player: Opponent:  58.70% (G:18.21% B:0.62%) 41.30% (G:9.43% B:0.28%)  

3.  3ply  20/17 11/8 6/3(2)  eq: +0.318 (0.203) 
 Player: Opponent:  59.99% (G:16.39% B:0.70%) 40.01% (G:11.14% B:0.31%)  

4.  3ply  11/5 6/3(2)  eq: +0.277 (0.244) 
 Player: Opponent:  58.77% (G:18.10% B:0.75%) 41.23% (G:12.33% B:0.39%)  

5.  3ply  11/8 6/3(3)  eq: +0.270 (0.251) 
 Player: Opponent:  58.20% (G:16.17% B:0.64%) 41.80% (G:10.62% B:0.34%)  



65: 13/7 6/1 

XGID=BBBcCAbAaBcbbbB:0:0:1:65:0:3:0:11:3 
Pip=134139 



1.  XG Roller+  23/18 13/7  eq: 0.647 
 Player: Opponent:  34.90% (G:9.63% B:0.31%) 65.10% (G:28.65% B:0.86%)  

2.  XG Roller+  13/7 6/1  eq: 0.771 (0.123) 
 Player: Opponent:  32.61% (G:8.62% B:0.16%) 67.39% (G:26.37% B:1.07%)  

3.  2ply  7/1 6/1  eq: 0.981 (0.334) 
 Player: Opponent:  28.42% (G:7.48% B:0.17%) 71.58% (G:25.74% B:1.07%)  

4.  2ply  13/2  eq: 1.000 (0.353) 
 Player: Opponent:  27.28% (G:6.41% B:0.13%) 72.72% (G:24.70% B:0.93%)  

5.  2ply  13/8 7/1  eq: 1.000 (0.353) 
 Player: Opponent:  27.48% (G:6.31% B:0.12%) 72.52% (G:25.23% B:1.05%)  



No double 

XGID=ABBBcBBbaBcbbbB:0:0:1:00:0:3:0:11:3 
Pip=123139 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
67.01% (G:23.73% B:0.90%) 
66.85% (G:24.18% B:0.92%) 
Opponent Winning Chances: 
32.99% (G:8.14% B:0.16%) 
33.15% (G:8.27% B:0.17%) 
Cubeless Equities 
+0.526 
+1.064 
Cubeful Equities 
No double:  +0.711  
Double/Take:  +0.680 (0.031)  
Double/Pass:  +1.000 (+0.289) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.8% 


61: 11/4 

XGID=ABBBcBBbaBcbbbB:0:0:1:61:0:3:0:11:3 
Pip=123139 



1.  4ply  11/4  eq: +0.767 
 Player: Opponent:  67.40% (G:25.90% B:0.93%) 32.60% (G:8.33% B:0.17%)  

2.  4ply  20/13  eq: +0.688 (0.079) 
 Player: Opponent:  66.36% (G:24.46% B:1.03%) 33.64% (G:8.87% B:0.15%)  

3.  3ply  11/5 6/5  eq: +0.597 (0.170) 
 Player: Opponent:  64.81% (G:24.44% B:0.89%) 35.19% (G:8.96% B:0.20%)  

4.  2ply  20/14 11/10  eq: +0.384 (0.383) 
 Player: Opponent:  61.64% (G:22.37% B:1.16%) 38.36% (G:16.91% B:0.39%)  

5.  2ply  20/14 6/5  eq: +0.326 (0.441) 
 Player: Opponent:  60.45% (G:22.56% B:1.15%) 39.55% (G:17.75% B:0.42%)  



54: 7/3 7/2 

XGID=ABBBcBBbBcbcbB:0:0:1:54:0:3:0:11:3 
Pip=123132 



1.  XG Roller+  23/14  eq: 0.987 
 Player: Opponent:  31.42% (G:9.78% B:0.24%) 68.58% (G:35.85% B:1.42%)  

2.  XG Roller+  7/3 7/2  eq: 1.000 (0.013) 
 Player: Opponent:  26.45% (G:6.69% B:0.11%) 73.55% (G:28.66% B:1.16%)  

3.  4ply  16/7  eq: 1.000 (0.013) 
 Player: Opponent:  25.75% (G:5.09% B:0.10%) 74.25% (G:18.66% B:0.74%)  

4.  4ply  6/2 6/1  eq: 1.000 (0.013) 
 Player: Opponent:  25.07% (G:5.20% B:0.05%) 74.93% (G:28.12% B:0.97%)  

5.  4ply  23/18 7/3  eq: 1.020 (0.033) 
 Player: Opponent:  24.74% (G:8.07% B:0.20%) 75.26% (G:44.98% B:2.94%)  



Double/Take 

XGID=ACCBcBbBcbcbB:0:0:1:00:0:3:0:11:3 
Pip=114132 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
73.64% (G:28.86% B:1.19%) 
73.31% (G:30.18% B:1.25%) 
Opponent Winning Chances: 
26.36% (G:6.93% B:0.11%) 
26.69% (G:7.34% B:0.14%) 
Cubeless Equities 
+0.731 
+1.484 
Cubeful Equities 
No double:  +0.909 (0.091)  
Double/Take:  +1.194 (+0.194)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


22: 20/18(2) 13/11(2) 

XGID=ACCBcBbBcbcbB:1:1:1:22:0:3:0:11:3 
Pip=114132 



1.  4ply  20/16(2)  eq: +0.562 
 Player: Opponent:  73.96% (G:29.71% B:1.12%) 26.04% (G:7.24% B:0.12%)  

2.  4ply  20/18(2) 13/11(2)  eq: +0.561 (0.001) 
 Player: Opponent:  73.70% (G:30.39% B:1.15%) 26.30% (G:7.35% B:0.11%)  

3.  4ply  20/16 13/11(2)  eq: +0.549 (0.013) 
 Player: Opponent:  73.62% (G:27.22% B:1.10%) 26.38% (G:5.74% B:0.09%)  

4.  4ply  20/18(2) 20/16  eq: +0.534 (0.028) 
 Player: Opponent:  73.17% (G:29.00% B:1.05%) 26.83% (G:7.31% B:0.11%)  

5.  4ply  20/18 13/11(2) 6/4  eq: +0.447 (0.115) 
 Player: Opponent:  70.44% (G:27.21% B:1.14%) 29.56% (G:7.62% B:0.14%)  



41: 6/5* 5/1 

XGID=ACCBaBbbBcbcbB:1:1:1:41:0:3:0:11:3 
Pip=114124 



1.  4ply  6/5* 5/1  eq: 0.713 
 Player: Opponent:  21.72% (G:4.88% B:0.04%) 78.28% (G:30.78% B:1.41%)  

2.  4ply  16/12 2/1  eq: 0.790 (0.077) 
 Player: Opponent:  18.53% (G:4.43% B:0.08%) 81.47% (G:29.80% B:1.62%)  

3.  4ply  6/1  eq: 0.807 (0.094) 
 Player: Opponent:  18.74% (G:3.11% B:0.03%) 81.26% (G:30.21% B:1.40%)  

4.  3ply  16/15 16/12  eq: 0.927 (0.214) 
 Player: Opponent:  15.33% (G:2.88% B:0.09%) 84.67% (G:33.13% B:1.72%)  

5.  2ply  6/2 6/5*  eq: 0.924 (0.212) 
 Player: Opponent:  16.12% (G:3.26% B:0.05%) 83.88% (G:35.58% B:1.76%)  



11: Cannot Move 

XGID=aBCCBAbbBcbcbB:1:1:1:11:0:3:0:11:3 
Pip=109129 



1.  4ply  Cannot Move  eq: +0.496 
 Player: Opponent:  71.96% (G:29.42% B:1.15%) 28.04% (G:7.84% B:0.06%)  



31: 6/3 2/1 

XGID=aBCCBAbbBcbcbB:1:1:1:31:0:3:0:11:3 
Pip=109129 



1.  4ply  6/3 2/1  eq: 0.657 
 Player: Opponent:  23.19% (G:5.45% B:0.04%) 76.81% (G:29.81% B:1.19%)  

2.  4ply  6/2  eq: 0.670 (0.012) 
 Player: Opponent:  22.81% (G:5.28% B:0.03%) 77.19% (G:29.79% B:1.22%)  

3.  4ply  16/15 6/3  eq: 0.687 (0.029) 
 Player: Opponent:  22.02% (G:5.22% B:0.04%) 77.98% (G:29.27% B:1.31%)  

4.  4ply  16/12  eq: 0.722 (0.065) 
 Player: Opponent:  22.52% (G:6.41% B:0.03%) 77.48% (G:34.19% B:2.68%)  

5.  4ply  16/15 16/13  eq: 0.745 (0.088) 
 Player: Opponent:  21.66% (G:5.70% B:0.03%) 78.34% (G:33.70% B:2.45%)  



22: Cannot Move 

XGID=aCBDBbbBcbcbB:1:1:1:22:0:3:0:11:3 
Pip=105129 



1.  4ply  Cannot Move  eq: +0.521 
 Player: Opponent:  72.48% (G:29.63% B:1.25%) 27.52% (G:7.35% B:0.05%)  



42: 16/12 3/1 

XGID=aCBDBbbBcbcbB:1:1:1:42:0:3:0:11:3 
Pip=105129 



1.  4ply  16/12 3/1  eq: 0.681 
 Player: Opponent:  21.96% (G:5.47% B:0.03%) 78.04% (G:28.89% B:1.30%)  

2.  4ply  16/10  eq: 0.710 (0.029) 
 Player: Opponent:  20.92% (G:5.15% B:0.03%) 79.08% (G:28.66% B:1.35%)  

3.  1ply  16/12 4/2  eq: 1.161 (0.480) 
 Player: Opponent:  10.78% (G:1.93% B:0.02%) 89.22% (G:43.48% B:2.54%)  



32: Cannot Move 

XGID=aDBCBbAbAcbcbB:1:1:1:32:0:3:0:11:3 
Pip=99129 



1.  4ply  Cannot Move  eq: +0.454 
 Player: Opponent:  71.16% (G:27.05% B:1.22%) 28.84% (G:8.16% B:0.05%)  



66: 23/11(2) 

XGID=aDBCBbAbAcbcbB:1:1:1:66:0:3:0:11:3 
Pip=99129 



1.  3ply  23/11(2)  eq: +0.275 
 Player: Opponent:  49.04% (G:15.57% B:0.05%) 50.96% (G:14.46% B:0.46%)  

2.  2ply  23/17(2) 16/4  eq: +0.073 (0.201) 
 Player: Opponent:  42.99% (G:13.59% B:0.05%) 57.01% (G:16.09% B:0.80%)  

3.  2ply  23/17 23/11 16/10  eq: +0.058 (0.217) 
 Player: Opponent:  43.93% (G:13.78% B:0.05%) 56.07% (G:22.37% B:2.17%)  

4.  2ply  23/17(2) 16/10 12/6  eq: 0.139 (0.414) 
 Player: Opponent:  37.99% (G:13.66% B:0.05%) 62.01% (G:25.15% B:1.18%)  

5.  2ply  23/11 16/4  eq: 0.155 (0.429) 
 Player: Opponent:  35.65% (G:11.83% B:0.04%) 64.35% (G:17.50% B:1.07%)  



64: Bar/19 6/2 

XGID=aDBCBbBAbAcbcb:1:1:1:64:0:3:0:11:3 
Pip=75129 



1.  3ply  Bar/19 6/2  eq: 0.459 
 Player: Opponent:  44.68% (G:11.05% B:0.36%) 55.32% (G:18.07% B:0.06%)  

2.  3ply  Bar/15  eq: 0.593 (0.134) 
 Player: Opponent:  39.59% (G:7.12% B:0.24%) 60.41% (G:13.02% B:0.03%)  

3.  3ply  Bar/19 11/7  eq: 0.705 (0.246) 
 Player: Opponent:  41.50% (G:10.48% B:0.44%) 58.50% (G:24.08% B:0.12%)  

4.  1ply  Bar/19 5/1  eq: 1.000 (0.541) 
 Player: Opponent:  34.35% (G:8.23% B:0.34%) 65.65% (G:23.39% B:0.12%)  



No double 

XGID=DBCBabBAbAbbcba:1:1:1:00:0:3:0:11:3 
Pip=75119 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
54.87% (G:18.27% B:0.08%) 
55.25% (G:18.79% B:0.08%) 
Opponent Winning Chances: 
45.13% (G:10.76% B:0.29%) 
44.75% (G:11.63% B:0.49%) 
Cubeless Equities 
+0.188 
+0.562 
Cubeful Equities 
No redouble:  +0.450  
Redouble/Take:  +0.409 (0.041)  
Redouble/Pass:  +1.000 (+0.550) 

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


62: 12/6* 6/4 

XGID=DBCBabBAbAbbcba:1:1:1:62:0:3:0:11:3 
Pip=75119 



1.  4ply  12/6* 6/4  eq: +0.697 
 Player: Opponent:  59.43% (G:21.23% B:0.08%) 40.57% (G:6.57% B:0.22%)  

2.  4ply  16/10 12/10  eq: +0.674 (0.023) 
 Player: Opponent:  62.50% (G:13.98% B:0.04%) 37.50% (G:6.14% B:0.15%)  

3.  2ply  12/6* 3/1  eq: +0.277 (0.420) 
 Player: Opponent:  47.97% (G:19.43% B:0.06%) 52.03% (G:17.81% B:0.71%)  

4.  1ply  12/6* 11/9  eq: +0.090 (0.607) 
 Player: Opponent:  43.73% (G:22.21% B:0.09%) 56.27% (G:31.96% B:2.40%)  

5.  1ply  12/4  eq: +0.065 (0.632) 
 Player: Opponent:  41.86% (G:11.50% B:0.09%) 58.14% (G:10.79% B:0.32%)  



64: Bar/19 6/2 

XGID=aDBCCbBbAbbcba:1:1:1:64:0:3:0:11:3 
Pip=67125 



1.  4ply  Bar/19 6/2  eq: 0.604 
 Player: Opponent:  40.17% (G:5.85% B:0.14%) 59.83% (G:16.54% B:0.09%)  

2.  4ply  Bar/19 11/7  eq: 0.743 (0.138) 
 Player: Opponent:  40.46% (G:6.38% B:0.16%) 59.54% (G:22.92% B:0.18%)  

3.  2ply  Bar/15  eq: 0.850 (0.246) 
 Player: Opponent:  33.92% (G:6.62% B:0.15%) 66.08% (G:14.71% B:0.04%)  

4.  2ply  Bar/19 5/1  eq: 1.000 (0.396) 
 Player: Opponent:  34.85% (G:7.02% B:0.19%) 65.15% (G:25.41% B:0.12%)  



No double 

XGID=DBCCabBbAabcbb:1:1:1:00:0:3:0:11:3 
Pip=67115 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
59.72% (G:15.81% B:0.08%) 
58.66% (G:17.00% B:0.10%) 
Opponent Winning Chances: 
40.28% (G:6.37% B:0.23%) 
41.34% (G:6.29% B:0.23%) 
Cubeless Equities 
+0.303 
+0.736 
Cubeful Equities 
No redouble:  +0.589  
Redouble/Take:  +0.550 (0.039)  
Redouble/Pass:  +1.000 (+0.411) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 8.0% 


65: 16/5 

XGID=DBCCabBbAabcbb:1:1:1:65:0:3:0:11:3 
Pip=67115 



1.  3ply  16/5  eq: +0.858 
 Player: Opponent:  68.29% (G:14.05% B:0.06%) 31.71% (G:2.85% B:0.02%)  

2.  2ply  16/10 11/6*  eq: +0.375 (0.483) 
 Player: Opponent:  56.03% (G:27.49% B:0.14%) 43.97% (G:16.85% B:1.27%)  

3.  1ply  11/5 11/6*  eq: +0.368 (0.490) 
 Player: Opponent:  49.33% (G:24.82% B:0.11%) 50.67% (G:19.10% B:1.00%)  



44: 19/7 11/7 

XGID=DBCCAabBbabcbb:1:1:1:44:0:3:0:11:3 
Pip=56115 



1.  4ply  19/7 11/7  eq: 1.000 
 Player: Opponent:  22.19% (G:1.20% B:0.02%) 77.81% (G:2.69% B:0.02%)  

2.  4ply  19/3  eq: 1.000 
 Player: Opponent:  19.55% (G:0.95% B:0.01%) 80.45% (G:3.22% B:0.01%)  

3.  4ply  11/7 11/3 6/2  eq: 1.000 
 Player: Opponent:  23.19% (G:1.75% B:0.04%) 76.81% (G:12.84% B:0.05%)  

4.  4ply  11/3(2)  eq: 1.000 
 Player: Opponent:  22.50% (G:1.64% B:0.03%) 77.50% (G:12.62% B:0.06%)  

5.  4ply  19/7 6/2  eq: 1.000 
 Player: Opponent:  17.79% (G:0.80% B:0.02%) 82.21% (G:3.02% B:0.01%)  



Double/Pass 

XGID=DBCCAbBababcbb:1:1:1:00:0:3:0:11:3 
Pip=5699 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
77.82% (G:2.71% B:0.02%) 
77.81% (G:2.69% B:0.02%) 
Opponent Winning Chances: 
22.18% (G:1.20% B:0.02%) 
22.19% (G:1.20% B:0.02%) 
Cubeless Equities 
+0.574 
+1.236 
Cubeful Equities 
No redouble:  +0.761 (0.239)  
Redouble/Take:  +1.134 (+0.134)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


Wins 2pts. 



