41: 24/23 13/9 

XGID=bECeEceB:0:0:1:41:4:4:0:11:3 
Pip=167167 



1.  Book^{1}  24/23 13/9  eq: +0.001 
 Player: Opponent:  49.74% (G:13.62% B:0.56%) 50.26% (G:13.19% B:0.54%)  

2.  Book^{1}  13/9 6/5  eq: 0.038 (0.039) 
 Player: Opponent:  49.22% (G:13.49% B:0.56%) 50.78% (G:14.30% B:0.90%)  

3.  Book^{1}  24/23 24/20  eq: 0.042 (0.043) 
 Player: Opponent:  48.83% (G:12.24% B:0.55%) 51.17% (G:13.14% B:0.48%)  

4.  Book^{1}  13/8  eq: 0.051 (0.052) 
 Player: Opponent:  48.76% (G:13.22% B:0.61%) 51.24% (G:14.08% B:0.61%)  

5.  Book^{1}  24/20 6/5  eq: 0.064 (0.065) 
 Player: Opponent:  48.70% (G:12.24% B:0.48%) 51.30% (G:14.04% B:0.64%)  


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



54: 24/20 6/1* 

XGID=bECAeDceAA:0:0:1:54:4:4:0:11:3 
Pip=162167 



1.  4ply  24/20 13/8  eq: 0.136 (+0.001) 
 Player: Opponent:  47.00% (G:11.45% B:0.47%) 53.00% (G:14.96% B:0.57%)  

2.  4ply  24/20 6/1*  eq: 0.137 
 Player: Opponent:  46.86% (G:11.58% B:0.39%) 53.14% (G:14.47% B:0.68%)  

3.  4ply  24/15  eq: 0.150 (0.013) 
 Player: Opponent:  47.15% (G:10.46% B:0.44%) 52.85% (G:15.71% B:0.56%)  

4.  4ply  13/9 13/8  eq: 0.157 (0.020) 
 Player: Opponent:  46.07% (G:12.47% B:0.50%) 53.93% (G:15.45% B:0.84%)  

5.  4ply  13/8 6/2*  eq: 0.180 (0.043) 
 Player: Opponent:  45.88% (G:11.79% B:0.50%) 54.12% (G:15.89% B:0.94%)  



52: Bar/20 23/21 

XGID=aaECAeDcdAaA:0:0:1:52:4:4:0:11:3 
Pip=163158 



1.  4ply  Bar/20 23/21  eq: 0.010 
 Player: Opponent:  49.99% (G:12.22% B:0.55%) 50.01% (G:13.29% B:0.45%)  

2.  4ply  Bar/23 13/8  eq: 0.026 (0.017) 
 Player: Opponent:  48.83% (G:12.92% B:0.51%) 51.17% (G:12.43% B:0.43%)  

3.  4ply  Bar/20 13/11  eq: 0.038 (0.028) 
 Player: Opponent:  49.33% (G:13.73% B:0.68%) 50.67% (G:15.21% B:0.69%)  

4.  4ply  Bar/20 6/4  eq: 0.065 (0.056) 
 Player: Opponent:  49.08% (G:12.85% B:0.57%) 50.92% (G:15.98% B:0.73%)  

5.  4ply  Bar/20 8/6  eq: 0.082 (0.073) 
 Player: Opponent:  47.99% (G:12.65% B:0.61%) 52.01% (G:14.62% B:0.52%)  



41: 20/16* 6/5* 

XGID=aaECAeDcdAAa:0:0:1:41:4:4:0:11:3 
Pip=156158 



1.  XG Roller+  6/5* 5/1  eq: +0.058 
 Player: Opponent:  50.81% (G:15.23% B:0.47%) 49.19% (G:12.19% B:0.46%)  

2.  XG Roller+  20/16* 6/5*  eq: +0.008 (0.050) 
 Player: Opponent:  50.80% (G:12.90% B:0.48%) 49.20% (G:13.94% B:0.64%)  

3.  4ply  20/16* 16/15  eq: 0.060 (0.118) 
 Player: Opponent:  49.29% (G:10.66% B:0.32%) 50.71% (G:13.66% B:0.58%)  

4.  3ply  24/23 20/16*  eq: 0.065 (0.123) 
 Player: Opponent:  49.23% (G:10.75% B:0.38%) 50.77% (G:13.97% B:0.58%)  

5.  3ply  24/20 6/5*  eq: 0.076 (0.134) 
 Player: Opponent:  47.77% (G:10.05% B:0.34%) 52.23% (G:10.70% B:0.38%)  



11: Bar/24*(2) 24/23 21/20* 

XGID=aECaeDccaAaB:0:0:1:11:4:4:0:11:3 
Pip=177153 



1.  XG Roller+  Bar/24*(2) 6/5(2)  eq: +0.381 
 Player: Opponent:  57.10% (G:20.30% B:1.41%) 42.90% (G:9.56% B:0.42%)  

2.  XG Roller+  Bar/24*(2) 24/23 21/20*  eq: +0.304 (0.077) 
 Player: Opponent:  55.42% (G:19.28% B:1.26%) 44.58% (G:9.32% B:0.35%)  

3.  4ply  Bar/24*(2) 21/20* 8/7  eq: +0.309 (0.071) 
 Player: Opponent:  55.56% (G:19.81% B:1.31%) 44.44% (G:9.46% B:0.50%)  

4.  4ply  Bar/24*(2) 21/20* 6/5  eq: +0.301 (0.080) 
 Player: Opponent:  55.66% (G:18.63% B:1.28%) 44.34% (G:9.54% B:0.51%)  

5.  2ply  Bar/24*(2) 24/22  eq: 0.007 (0.388) 
 Player: Opponent:  48.86% (G:14.07% B:0.82%) 51.14% (G:11.95% B:0.57%)  



33: Bar/22(2) 8/5*(2) 

XGID=baECaeDccAAA:0:0:1:33:4:4:0:11:3 
Pip=173197 



1.  4ply  Bar/22(2) 8/5*(2)  eq: +0.028 
 Player: Opponent:  50.98% (G:13.86% B:0.68%) 49.02% (G:14.07% B:0.67%)  

2.  4ply  Bar/22(2) 13/10(2)  eq: 0.065 (0.093) 
 Player: Opponent:  49.20% (G:10.48% B:0.41%) 50.80% (G:13.86% B:0.56%)  

3.  3ply  Bar/22(2) 13/10 8/5*  eq: 0.104 (0.132) 
 Player: Opponent:  49.05% (G:11.06% B:0.51%) 50.95% (G:17.15% B:0.85%)  

4.  3ply  Bar/22(2) 24/21 8/5*  eq: 0.134 (0.162) 
 Player: Opponent:  47.93% (G:10.51% B:0.47%) 52.07% (G:16.43% B:0.60%)  

5.  3ply  Bar/22(2) 16/13 8/5*  eq: 0.166 (0.194) 
 Player: Opponent:  46.97% (G:10.28% B:0.39%) 53.03% (G:16.41% B:0.61%)  



64: Bar/21 23/17* 

XGID=abECaeDacbAAA:0:0:1:64:4:4:0:11:3 
Pip=178185 



1.  3ply  Bar/21 23/17*  eq: +0.135 
 Player: Opponent:  52.61% (G:16.20% B:0.80%) 47.39% (G:11.71% B:0.45%)  

2.  2ply  Bar/21 24/18  eq: 0.179 (0.314) 
 Player: Opponent:  45.63% (G:12.31% B:0.54%) 54.37% (G:15.95% B:0.83%)  

3.  2ply  Bar/15  eq: 0.212 (0.347) 
 Player: Opponent:  44.85% (G:11.90% B:0.49%) 55.15% (G:16.17% B:0.94%)  

4.  2ply  Bar/21 13/7  eq: 0.272 (0.407) 
 Player: Opponent:  43.33% (G:11.76% B:0.45%) 56.67% (G:17.05% B:1.08%)  

5.  2ply  Bar/21 8/2  eq: 0.335 (0.470) 
 Player: Opponent:  41.87% (G:11.31% B:0.40%) 58.13% (G:18.07% B:1.16%)  



51: Bar/24 13/8* 

XGID=aabECaeDAcbAA:0:0:1:51:4:4:0:11:3 
Pip=168202 



1.  3ply  Bar/24 13/8*  eq: 0.045 
 Player: Opponent:  49.85% (G:12.70% B:0.67%) 50.15% (G:15.92% B:0.90%)  

2.  3ply  Bar/20 24/23  eq: 0.179 (0.135) 
 Player: Opponent:  46.27% (G:10.91% B:0.43%) 53.73% (G:16.35% B:0.62%)  

3.  3ply  Bar/20 16/15  eq: 0.196 (0.151) 
 Player: Opponent:  46.00% (G:10.82% B:0.44%) 54.00% (G:16.90% B:0.72%)  

4.  3ply  Bar/20 6/5  eq: 0.198 (0.153) 
 Player: Opponent:  45.99% (G:10.90% B:0.46%) 54.01% (G:17.03% B:0.75%)  

5.  3ply  Bar/24 16/11  eq: 0.209 (0.164) 
 Player: Opponent:  45.64% (G:10.97% B:0.43%) 54.36% (G:16.96% B:0.89%)  



51: Bar/24 13/8 

XGID=bbECadDacbAAA:0:0:1:51:4:4:0:11:3 
Pip=176196 



1.  4ply  Bar/24 21/16  eq: 0.118 (+0.001) 
 Player: Opponent:  46.86% (G:13.78% B:0.74%) 53.14% (G:15.50% B:0.97%)  

2.  4ply  Bar/24 13/8  eq: 0.119 
 Player: Opponent:  46.40% (G:14.65% B:0.82%) 53.60% (G:15.16% B:0.96%)  



31: 8/4* 

XGID=bbEDadCacbAB:0:0:1:31:4:4:0:11:3 
Pip=170196 



1.  4ply  8/4*  eq: 0.018 
 Player: Opponent:  50.52% (G:14.38% B:0.83%) 49.48% (G:17.07% B:1.21%)  

2.  4ply  16/15 8/5  eq: 0.085 (0.067) 
 Player: Opponent:  48.52% (G:13.50% B:0.71%) 51.48% (G:16.52% B:1.07%)  

3.  4ply  24/23 8/5  eq: 0.116 (0.097) 
 Player: Opponent:  48.04% (G:12.56% B:0.60%) 51.96% (G:17.07% B:0.91%)  

4.  4ply  24/21 22/21  eq: 0.122 (0.104) 
 Player: Opponent:  48.27% (G:12.22% B:0.54%) 51.73% (G:17.70% B:0.88%)  

5.  4ply  24/21 16/15  eq: 0.128 (0.110) 
 Player: Opponent:  48.24% (G:12.71% B:0.69%) 51.76% (G:18.64% B:1.07%)  



62: Bar/23 24/18 

XGID=bbEDadCcbaBA:0:0:1:62:4:4:0:11:3 
Pip=174192 



1.  3ply  Bar/23 24/18  eq: 0.031 
 Player: Opponent:  49.04% (G:15.09% B:1.04%) 50.96% (G:15.33% B:0.75%)  

2.  3ply  Bar/17  eq: 0.165 (0.134) 
 Player: Opponent:  45.87% (G:14.61% B:1.01%) 54.13% (G:17.30% B:1.09%)  

3.  3ply  Bar/23 13/7  eq: 0.280 (0.249) 
 Player: Opponent:  43.41% (G:14.12% B:1.04%) 56.59% (G:19.26% B:1.60%)  

4.  2ply  Bar/23 8/2  eq: 0.290 (0.259) 
 Player: Opponent:  42.72% (G:13.04% B:0.81%) 57.28% (G:18.23% B:1.44%)  



62: 13/7* 6/4 

XGID=bbEDadCAcbaAA:0:0:1:62:4:4:0:11:3 
Pip=166192 



1.  3ply  13/7* 6/4  eq: +0.335 
 Player: Opponent:  57.98% (G:18.78% B:1.27%) 42.02% (G:12.38% B:0.66%)  

2.  2ply  13/7* 4/2*  eq: +0.057 (0.279) 
 Player: Opponent:  51.45% (G:16.56% B:0.90%) 48.55% (G:15.26% B:1.19%)  

3.  2ply  24/18 6/4  eq: +0.052 (0.284) 
 Player: Opponent:  51.47% (G:13.98% B:0.58%) 48.53% (G:13.37% B:0.61%)  

4.  2ply  22/16 6/4  eq: +0.015 (0.321) 
 Player: Opponent:  50.44% (G:13.76% B:0.58%) 49.56% (G:13.45% B:0.82%)  

5.  2ply  16/10 6/4  eq: 0.000 (0.335) 
 Player: Opponent:  50.14% (G:14.43% B:0.59%) 49.86% (G:14.49% B:0.96%)  



65: Cannot Move 

XGID=bbEDacCabbbAAA:0:0:1:65:4:4:0:11:3 
Pip=173184 



1.  4ply  Cannot Move  eq: 0.694 
 Player: Opponent:  34.90% (G:8.73% B:0.39%) 65.10% (G:23.34% B:1.68%)  



Double/Take 

XGID=bbEDacCabbbAAA:0:0:1:00:4:4:0:11:3 
Pip=173184 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
64.82% (G:23.20% B:1.61%) 
64.86% (G:23.46% B:1.64%) 
Opponent Winning Chances: 
35.18% (G:9.11% B:0.45%) 
35.14% (G:9.17% B:0.47%) 
Cubeless Equities 
+0.453 
+0.937 
Cubeful Equities 
No double:  +0.688  
Double/Take:  +0.671 (0.016)  
Double/Pass:  +1.000 (+0.312) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.8% 


52: 13/11 7/2* 

XGID=bbEDacCabbbAAA:1:1:1:52:4:4:0:11:3 
Pip=173184 



1.  XG Roller+  16/11 7/5  eq: +0.209 
 Player: Opponent:  60.63% (G:22.68% B:1.48%) 39.37% (G:10.21% B:0.48%)  

2.  XG Roller+  13/11 7/2*  eq: +0.154 (0.056) 
 Player: Opponent:  59.32% (G:21.90% B:1.56%) 40.68% (G:11.92% B:0.65%)  

3.  4ply  16/11 13/11  eq: +0.203 (0.006) 
 Player: Opponent:  61.19% (G:21.46% B:1.45%) 38.81% (G:10.93% B:0.68%)  

4.  4ply  24/22 16/11  eq: +0.192 (0.017) 
 Player: Opponent:  61.02% (G:20.57% B:1.26%) 38.98% (G:10.62% B:0.50%)  

5.  4ply  22/20 16/11  eq: +0.192 (0.018) 
 Player: Opponent:  61.05% (G:20.81% B:1.33%) 38.95% (G:10.98% B:0.82%)  



66: Cannot Move 

XGID=bbEDabCabbbaAB:1:1:1:66:4:4:0:11:3 
Pip=175177 



1.  4ply  Cannot Move  eq: 0.365 
 Player: Opponent:  35.78% (G:9.03% B:0.49%) 64.22% (G:27.92% B:2.26%)  



31: 11/8 2/1* 

XGID=bbEDabCabbbaAB:1:1:1:31:4:4:0:11:3 
Pip=175177 



1.  4ply  24/21 2/1*  eq: +0.258 (+0.001) 
 Player: Opponent:  61.89% (G:24.68% B:1.35%) 38.11% (G:10.06% B:0.50%)  

2.  4ply  11/8 2/1*  eq: +0.257 
 Player: Opponent:  61.35% (G:26.43% B:1.40%) 38.65% (G:10.50% B:0.69%)  

3.  4ply  16/13 2/1*  eq: +0.256 (0.001) 
 Player: Opponent:  61.49% (G:25.50% B:1.37%) 38.51% (G:10.02% B:0.60%)  

4.  4ply  13/10 2/1*  eq: +0.245 (0.012) 
 Player: Opponent:  61.10% (G:26.18% B:1.41%) 38.90% (G:10.79% B:0.76%)  

5.  4ply  11/7  eq: +0.231 (0.026) 
 Player: Opponent:  61.03% (G:24.74% B:1.81%) 38.97% (G:11.12% B:0.75%)  



41: Bar/24* 

XGID=bbEDabCabbbaC:1:1:1:41:4:4:0:11:3 
Pip=176173 



1.  3ply  Bar/24*  eq: 0.244 
 Player: Opponent:  37.91% (G:10.89% B:0.79%) 62.09% (G:23.34% B:1.71%)  



62: Bar/23 13/7 

XGID=abbEDabCabbbAB:1:1:1:62:4:4:0:11:3 
Pip=175197 



1.  4ply  Bar/23 13/7  eq: +0.262 
 Player: Opponent:  62.64% (G:23.78% B:1.88%) 37.36% (G:11.10% B:0.79%)  

2.  4ply  Bar/23 16/10  eq: +0.253 (0.010) 
 Player: Opponent:  62.40% (G:23.01% B:1.80%) 37.60% (G:10.67% B:0.68%)  

3.  4ply  Bar/23 24/18  eq: +0.225 (0.037) 
 Player: Opponent:  61.98% (G:21.66% B:1.57%) 38.02% (G:10.99% B:0.60%)  

4.  4ply  Bar/23 22/16  eq: +0.208 (0.054) 
 Player: Opponent:  61.32% (G:21.28% B:1.54%) 38.68% (G:10.63% B:0.68%)  

5.  2ply  Bar/23 8/2  eq: 0.031 (0.293) 
 Player: Opponent:  54.11% (G:19.25% B:1.28%) 45.89% (G:14.40% B:1.08%)  



62: Bar/23 

XGID=babEDaaCaabbbAB:1:1:1:62:4:4:0:11:3 
Pip=175189 



1.  3ply  Bar/23  eq: 0.245 
 Player: Opponent:  37.64% (G:10.88% B:0.69%) 62.36% (G:22.71% B:1.62%)  



43: 13/9 7/4 

XGID=babEDaaCaabbbAAA:1:1:1:43:4:4:0:11:3 
Pip=173189 



1.  XG Roller+  24/20 23/20  eq: +0.130 
 Player: Opponent:  59.41% (G:19.45% B:1.23%) 40.59% (G:11.71% B:0.46%)  

2.  XG Roller+  24/20 16/13  eq: +0.119 (0.010) 
 Player: Opponent:  59.16% (G:19.72% B:1.34%) 40.84% (G:12.39% B:0.54%)  

3.  XG Roller+  13/9 7/4  eq: 0.034 (0.163) 
 Player: Opponent:  53.96% (G:19.10% B:1.34%) 46.04% (G:14.68% B:0.94%)  

4.  4ply  22/18 16/13  eq: +0.083 (0.046) 
 Player: Opponent:  58.19% (G:19.82% B:1.34%) 41.81% (G:13.71% B:1.18%)  

5.  4ply  23/16  eq: +0.076 (0.053) 
 Player: Opponent:  57.64% (G:19.81% B:1.33%) 42.36% (G:12.96% B:0.94%)  



64: Cannot Move 

XGID=babEDaCaabbcAAA:1:1:1:64:4:4:0:11:3 
Pip=173182 



1.  4ply  Cannot Move  eq: 0.223 
 Player: Opponent:  39.50% (G:10.59% B:0.56%) 60.50% (G:24.44% B:2.09%)  



53: 16/8 

XGID=babEDaCaabbcAAA:1:1:1:53:4:4:0:11:3 
Pip=173182 



1.  4ply  16/8  eq: +0.156 
 Player: Opponent:  58.62% (G:23.44% B:1.66%) 41.38% (G:11.30% B:0.63%)  

2.  4ply  23/18 16/13  eq: +0.098 (0.058) 
 Player: Opponent:  57.29% (G:22.56% B:1.68%) 42.71% (G:12.95% B:0.90%)  

3.  4ply  23/20 16/11  eq: +0.082 (0.073) 
 Player: Opponent:  56.60% (G:22.28% B:1.66%) 43.40% (G:12.54% B:0.80%)  

4.  4ply  24/16  eq: +0.080 (0.076) 
 Player: Opponent:  56.87% (G:20.82% B:1.43%) 43.13% (G:11.98% B:0.60%)  

5.  4ply  24/21 16/11  eq: +0.079 (0.077) 
 Player: Opponent:  56.72% (G:21.94% B:1.68%) 43.28% (G:13.00% B:0.70%)  



33: Bar/22 13/10 8/5(2) 

XGID=babEDCabbbcAAA:1:1:1:33:4:4:0:11:3 
Pip=173174 



1.  4ply  Bar/22 13/10 8/5(2)  eq: 0.080 
 Player: Opponent:  43.45% (G:15.46% B:1.24%) 56.55% (G:24.48% B:2.43%)  

2.  4ply  Bar/22 13/10(3)  eq: 0.177 (0.097) 
 Player: Opponent:  40.50% (G:11.84% B:0.74%) 59.50% (G:23.81% B:1.73%)  

3.  3ply  Bar/22 8/5(3)  eq: 0.281 (0.201) 
 Player: Opponent:  38.23% (G:12.34% B:0.91%) 61.77% (G:28.56% B:2.63%)  

4.  2ply  Bar/22 13/10 8/2*  eq: 0.412 (0.332) 
 Player: Opponent:  35.29% (G:9.97% B:0.67%) 64.71% (G:30.97% B:3.98%)  

5.  2ply  Bar/22 13/4  eq: 0.474 (0.394) 
 Player: Opponent:  33.61% (G:8.33% B:0.45%) 66.39% (G:31.51% B:3.75%)  



32: 24/21 4/2* 

XGID=babBEBABabbbcAAA:1:1:1:32:4:4:0:11:3 
Pip=161174 



1.  4ply  9/6 4/2*  eq: 0.159 (+0.011) 
 Player: Opponent:  50.22% (G:19.30% B:1.56%) 49.78% (G:18.18% B:1.37%)  

2.  4ply  24/21 4/2*  eq: 0.169 
 Player: Opponent:  50.73% (G:18.68% B:1.54%) 49.27% (G:19.93% B:1.50%)  

3.  4ply  24/21 23/21  eq: 0.196 (0.027) 
 Player: Opponent:  49.67% (G:16.19% B:0.97%) 50.33% (G:17.21% B:0.87%)  

4.  4ply  24/22 9/6  eq: 0.235 (0.066) 
 Player: Opponent:  47.96% (G:16.92% B:0.98%) 52.04% (G:17.72% B:0.91%)  

5.  4ply  23/21 9/6  eq: 0.263 (0.094) 
 Player: Opponent:  47.48% (G:16.83% B:1.02%) 52.52% (G:18.91% B:1.43%)  



51: Bar/24 10/5 

XGID=aabaBEBABabbbbAaAA:1:1:1:51:4:4:0:11:3 
Pip=163169 



1.  4ply  Bar/24 10/5  eq: +0.091 
 Player: Opponent:  47.13% (G:17.61% B:1.00%) 52.87% (G:18.93% B:1.50%)  

2.  4ply  Bar/24 6/1*  eq: +0.036 (0.055) 
 Player: Opponent:  45.99% (G:18.78% B:1.26%) 54.01% (G:22.03% B:2.51%)  

3.  3ply  Bar/24 13/8  eq: 0.143 (0.233) 
 Player: Opponent:  41.74% (G:15.37% B:1.09%) 58.26% (G:25.53% B:3.16%)  



22: 23/21 9/3* 

XGID=aabaCEBBabbbbAaB:1:1:1:22:4:4:0:11:3 
Pip=157169 



1.  4ply  23/21 9/3*  eq: 0.102 
 Player: Opponent:  52.90% (G:18.50% B:1.42%) 47.10% (G:17.89% B:0.93%)  

2.  4ply  24/22 23/21 9/5  eq: 0.163 (0.061) 
 Player: Opponent:  50.46% (G:16.31% B:0.78%) 49.54% (G:15.88% B:0.61%)  

3.  3ply  24/22 23/21 5/3*(2)  eq: 0.226 (0.124) 
 Player: Opponent:  48.78% (G:15.93% B:1.22%) 51.22% (G:18.33% B:0.84%)  

4.  3ply  23/21 8/2  eq: 0.230 (0.128) 
 Player: Opponent:  48.54% (G:16.49% B:1.14%) 51.46% (G:18.37% B:0.90%)  

5.  3ply  23/21 8/6 5/3*(2)  eq: 0.248 (0.146) 
 Player: Opponent:  48.29% (G:16.02% B:1.33%) 51.71% (G:19.45% B:1.11%)  



53: Bar/22* 6/1* 

XGID=abbCEBBbbbbaaBA:1:1:1:53:4:4:0:11:3 
Pip=160161 



1.  4ply  Bar/22* 6/1*  eq: +0.238 
 Player: Opponent:  50.30% (G:20.95% B:0.92%) 49.70% (G:15.26% B:1.04%)  

2.  4ply  Bar/22* 13/8  eq: +0.143 (0.094) 
 Player: Opponent:  47.20% (G:19.51% B:1.07%) 52.80% (G:15.81% B:1.05%)  



54: Bar/21 

XGID=bAbbCDBBbbbbAaB:1:1:1:54:4:4:0:11:3 
Pip=152184 



1.  3ply  Bar/21  eq: 0.277 
 Player: Opponent:  49.03% (G:14.34% B:0.88%) 50.97% (G:22.12% B:0.89%)  



Double/Take 

XGID=aAbcCDBBbbbbAaB:1:1:1:00:4:4:0:11:3 
Pip=152180 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
51.04% (G:22.39% B:0.90%) 
50.80% (G:21.88% B:0.87%) 
Opponent Winning Chances: 
48.96% (G:14.37% B:0.80%) 
49.20% (G:14.71% B:0.82%) 
Cubeless Equities 
+0.108 
+0.168 
Cubeful Equities 
No redouble:  +0.285  
Redouble/Take:  0.196 (0.481)  
Redouble/Pass:  +1.000 (+0.715) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 28.7% 


51: 24/23* 6/1 

XGID=aAbcCDBBbbbbAaB:2:1:1:51:4:4:0:11:3 
Pip=152180 



1.  XG Roller+  24/23* 23/18  eq: 0.056 
 Player: Opponent:  52.12% (G:22.67% B:0.93%) 47.88% (G:12.74% B:0.60%)  

2.  XG Roller+  24/23* 6/1  eq: 0.077 (0.021) 
 Player: Opponent:  50.64% (G:26.56% B:1.11%) 49.36% (G:12.63% B:0.55%)  

3.  4ply  13/12 6/1  eq: 0.146 (0.089) 
 Player: Opponent:  48.37% (G:23.69% B:1.02%) 51.63% (G:15.39% B:0.96%)  

4.  4ply  6/5 6/1  eq: 0.161 (0.105) 
 Player: Opponent:  48.05% (G:23.06% B:0.90%) 51.95% (G:15.75% B:0.87%)  

5.  3ply  24/23* 13/8  eq: 0.230 (0.174) 
 Player: Opponent:  46.83% (G:19.77% B:0.92%) 53.17% (G:16.10% B:0.85%)  



No double 

XGID=bBbcCCBBbbbbAAA:2:1:1:00:4:4:0:11:3 
Pip=146203 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
49.69% (G:12.79% B:0.62%) 
49.75% (G:12.87% B:0.62%) 
Opponent Winning Chances: 
50.31% (G:26.17% B:1.10%) 
50.25% (G:26.22% B:1.09%) 
Cubeless Equities 
0.128 
0.010 
Cubeful Equities 
No redouble:  +0.094  
Redouble/Take:  0.010 (0.104)  
Redouble/Pass:  +1.000 (+0.906) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 9.3% 


31: Bar/22 

XGID=bBbcCCBBbbbbAAA:2:1:1:31:4:4:0:11:3 
Pip=146203 



1.  3ply  Bar/22  eq: +0.109 
 Player: Opponent:  49.99% (G:12.97% B:0.62%) 50.01% (G:25.71% B:1.00%)  



31: 23/22 13/10 

XGID=aBccCCBBbbbbAAA:2:1:1:31:4:4:0:11:3 
Pip=146200 



1.  XG Roller+  6/2  eq: 0.222 
 Player: Opponent:  46.38% (G:22.03% B:0.83%) 53.62% (G:16.43% B:0.82%)  

2.  XG Roller+  23/22 13/10  eq: 0.353 (0.131) 
 Player: Opponent:  42.42% (G:20.05% B:0.75%) 57.58% (G:17.90% B:0.83%)  

3.  4ply  23/22 5/2  eq: 0.290 (0.068) 
 Player: Opponent:  44.18% (G:20.36% B:0.66%) 55.82% (G:17.41% B:0.87%)  

4.  4ply  24/23 5/2  eq: 0.318 (0.096) 
 Player: Opponent:  43.28% (G:20.33% B:0.69%) 56.72% (G:18.25% B:0.99%)  

5.  4ply  5/1  eq: 0.327 (0.105) 
 Player: Opponent:  43.00% (G:21.28% B:0.70%) 57.00% (G:17.07% B:0.85%)  



No double 

XGID=aBccCCBAAbbbbBA:2:1:1:00:4:4:0:11:3 
Pip=142200 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
57.72% (G:17.84% B:0.96%) 
57.74% (G:17.82% B:0.95%) 
Opponent Winning Chances: 
42.28% (G:20.39% B:0.75%) 
42.26% (G:20.45% B:0.77%) 
Cubeless Equities 
+0.131 
+0.295 
Cubeful Equities 
No redouble:  +0.352  
Redouble/Take:  +0.295 (0.057)  
Redouble/Pass:  +1.000 (+0.648) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 7.4% 


52: Bar/18 

XGID=aBccCCBAAbbbbBA:2:1:1:52:4:4:0:11:3 
Pip=142200 



1.  4ply  Bar/18  eq: +0.366 
 Player: Opponent:  57.81% (G:17.68% B:0.85%) 42.19% (G:19.66% B:0.71%)  

2.  4ply  Bar/23 21/16  eq: +0.355 (0.011) 
 Player: Opponent:  57.63% (G:17.77% B:0.87%) 42.37% (G:20.27% B:0.83%)  

3.  1ply  Bar/23 6/1*  eq: 0.141 (0.507) 
 Player: Opponent:  43.30% (G:9.35% B:0.53%) 56.70% (G:34.46% B:2.06%)  



32: 10/7* 7/5 

XGID=BccCCaBAAbbbbBA:2:1:1:32:4:4:0:11:3 
Pip=142193 



1.  4ply  10/7* 7/5  eq: 0.396 
 Player: Opponent:  40.85% (G:20.70% B:0.77%) 59.15% (G:18.02% B:0.90%)  

2.  4ply  24/22 10/7*  eq: 0.405 (0.010) 
 Player: Opponent:  40.53% (G:19.96% B:0.76%) 59.47% (G:18.91% B:0.86%)  

3.  4ply  24/22 13/10  eq: 0.412 (0.017) 
 Player: Opponent:  40.37% (G:17.99% B:0.62%) 59.63% (G:17.76% B:0.72%)  

4.  4ply  13/11 10/7*  eq: 0.416 (0.020) 
 Player: Opponent:  40.30% (G:19.69% B:0.69%) 59.70% (G:18.99% B:0.98%)  

5.  3ply  10/8 5/2  eq: 0.586 (0.191) 
 Player: Opponent:  35.32% (G:14.79% B:0.48%) 64.68% (G:21.48% B:0.89%)  



No double 

XGID=aBccDCBAbbbbBA:2:1:1:00:4:4:0:11:3 
Pip=137200 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
59.15% (G:18.02% B:0.90%) 
59.13% (G:18.00% B:0.90%) 
Opponent Winning Chances: 
40.85% (G:20.70% B:0.77%) 
40.87% (G:20.76% B:0.79%) 
Cubeless Equities 
+0.159 
+0.348 
Cubeful Equities 
No redouble:  +0.396  
Redouble/Take:  +0.348 (0.047)  
Redouble/Pass:  +1.000 (+0.604) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 6.8% 


32: Bar/23 21/18 

XGID=aBccDCBAbbbbBA:2:1:1:32:4:4:0:11:3 
Pip=137200 



1.  3ply  Bar/23 21/18  eq: +0.450 
 Player: Opponent:  60.91% (G:19.35% B:1.13%) 39.09% (G:20.36% B:0.82%)  

2.  2ply  Bar/22 8/6  eq: +0.036 (0.414) 
 Player: Opponent:  48.14% (G:12.57% B:0.62%) 51.86% (G:29.01% B:1.46%)  

3.  2ply  Bar/23 8/5  eq: +0.027 (0.423) 
 Player: Opponent:  47.96% (G:12.28% B:0.62%) 52.04% (G:29.64% B:1.45%)  

4.  2ply  Bar/23 4/1*  eq: 0.115 (0.565) 
 Player: Opponent:  44.23% (G:10.25% B:0.42%) 55.77% (G:34.63% B:1.80%)  

5.  1ply  Bar/22 4/2  eq: 0.092 (0.542) 
 Player: Opponent:  45.19% (G:10.51% B:0.58%) 54.81% (G:35.29% B:1.84%)  



21: 24/22 13/12 

XGID=BacbDCaBAbbbbBA:2:1:1:21:4:4:0:11:3 
Pip=137195 



1.  XG Roller+  24/23 13/11  eq: 0.530 
 Player: Opponent:  36.63% (G:16.35% B:0.65%) 63.37% (G:20.43% B:0.94%)  

2.  XG Roller+  24/22 13/12  eq: 0.618 (0.087) 
 Player: Opponent:  34.09% (G:15.66% B:0.63%) 65.91% (G:22.19% B:0.93%)  

3.  4ply  8/6 8/7*  eq: 0.637 (0.106) 
 Player: Opponent:  33.47% (G:16.49% B:0.75%) 66.53% (G:23.36% B:1.39%)  

4.  4ply  13/10  eq: 0.648 (0.118) 
 Player: Opponent:  33.07% (G:14.70% B:0.58%) 66.93% (G:22.42% B:1.05%)  

5.  4ply  8/7* 7/5  eq: 0.679 (0.149) 
 Player: Opponent:  32.13% (G:15.92% B:0.77%) 67.87% (G:24.50% B:1.41%)  



No double 

XGID=BacbDCaBAbbbbC:2:1:1:00:4:4:0:11:3 
Pip=134195 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
66.57% (G:22.12% B:0.90%) 
66.50% (G:22.14% B:0.91%) 
Opponent Winning Chances: 
33.43% (G:15.70% B:0.64%) 
33.50% (G:15.82% B:0.65%) 
Cubeless Equities 
+0.390 
+0.630 
Cubeful Equities 
No redouble:  +0.634  
Redouble/Take:  +0.630 (0.004)  
Redouble/Pass:  +1.000 (+0.366) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 1.1% 


43: 18/11 

XGID=BacbDCaBAbbbbC:2:1:1:43:4:4:0:11:3 
Pip=134195 



1.  4ply  18/11  eq: +0.484 (+0.008) 
 Player: Opponent:  61.67% (G:19.02% B:0.80%) 38.33% (G:18.40% B:0.71%)  

2.  4ply  22/15  eq: +0.476 
 Player: Opponent:  61.59% (G:19.47% B:0.91%) 38.41% (G:19.80% B:0.83%)  

3.  4ply  22/18 21/18  eq: +0.454 (0.022) 
 Player: Opponent:  61.66% (G:19.30% B:0.67%) 38.34% (G:20.58% B:0.74%)  

4.  3ply  22/18 8/5  eq: +0.222 (0.254) 
 Player: Opponent:  53.95% (G:14.88% B:0.76%) 46.05% (G:24.36% B:1.16%)  

5.  2ply  21/14  eq: +0.145 (0.331) 
 Player: Opponent:  53.78% (G:16.08% B:0.46%) 46.22% (G:33.24% B:2.19%)  



53: 12/7 5/2* 

XGID=BacbDCBAabbbbC:2:1:1:53:4:4:0:11:3 
Pip=134188 



1.  4ply  12/7 5/2*  eq: 0.637 
 Player: Opponent:  33.56% (G:15.97% B:0.56%) 66.44% (G:22.80% B:0.95%)  

2.  4ply  6/1 5/2*  eq: 0.713 (0.076) 
 Player: Opponent:  31.04% (G:14.89% B:0.48%) 68.96% (G:24.65% B:1.07%)  

3.  2ply  12/9 6/1  eq: 0.934 (0.297) 
 Player: Opponent:  25.51% (G:11.25% B:0.45%) 74.49% (G:27.95% B:0.97%)  

4.  2ply  12/7 8/5  eq: 1.000 (0.363) 
 Player: Opponent:  22.28% (G:8.32% B:0.30%) 77.72% (G:30.56% B:1.06%)  

5.  2ply  8/5 6/1  eq: 1.000 (0.363) 
 Player: Opponent:  20.41% (G:8.45% B:0.31%) 79.59% (G:33.39% B:1.29%)  



No double 

XGID=aBAcbCCABabbbbC:2:1:1:00:4:4:0:11:3 
Pip=126190 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
66.44% (G:22.80% B:0.95%) 
66.38% (G:22.85% B:0.96%) 
Opponent Winning Chances: 
33.56% (G:15.97% B:0.56%) 
33.62% (G:16.36% B:0.60%) 
Cubeless Equities 
+0.391 
+0.625 
Cubeful Equities 
No redouble:  +0.637  
Redouble/Take:  +0.625 (0.012)  
Redouble/Pass:  +1.000 (+0.363) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 3.1% 


64: Bar/21 22/16 

XGID=aBAcbCCABabbbbC:2:1:1:64:4:4:0:11:3 
Pip=126190 



1.  4ply  Bar/21 22/16  eq: +0.702 (+0.002) 
 Player: Opponent:  68.19% (G:21.71% B:0.87%) 31.81% (G:13.77% B:0.42%)  

2.  4ply  Bar/15  eq: +0.700 
 Player: Opponent:  68.20% (G:21.93% B:0.86%) 31.80% (G:14.25% B:0.46%)  

3.  3ply  Bar/21 11/5  eq: +0.446 (0.254) 
 Player: Opponent:  60.39% (G:18.29% B:0.74%) 39.61% (G:17.93% B:0.52%)  

4.  1ply  Bar/21 8/2  eq: +0.080 (0.621) 
 Player: Opponent:  49.74% (G:13.86% B:0.79%) 50.26% (G:29.60% B:1.37%)  



22: 8/6(2) 7/5 

XGID=BAbcCCABaabbbbC:2:1:1:22:4:4:0:11:3 
Pip=126180 



1.  3ply  8/6(2) 7/5  eq: 0.878 
 Player: Opponent:  27.00% (G:10.86% B:0.35%) 73.00% (G:23.29% B:0.86%)  



No double 

XGID=BAbcDEaabbbbC:2:1:1:00:4:4:0:11:3 
Pip=120180 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
73.04% (G:21.76% B:0.83%) 
72.99% (G:21.61% B:0.84%) 
Opponent Winning Chances: 
26.96% (G:10.91% B:0.36%) 
27.01% (G:10.95% B:0.36%) 
Cubeless Equities 
+0.559 
+0.877 
Cubeful Equities 
No redouble:  +0.864 (0.013)  
Redouble/Take:  +0.877  
Redouble/Pass:  +1.000 (+0.123) 

Best Cube action: Redouble / Take 


41: 21/16 

XGID=BAbcDEaabbbbC:2:1:1:41:4:4:0:11:3 
Pip=120180 



1.  XG Roller+  21/17 16/15  eq: +0.844 
 Player: Opponent:  72.52% (G:22.17% B:0.82%) 27.48% (G:11.63% B:0.36%)  

2.  XG Roller+  21/16  eq: +0.791 (0.054) 
 Player: Opponent:  71.00% (G:21.58% B:0.81%) 29.00% (G:12.19% B:0.35%)  

3.  4ply  21/17 11/10  eq: +0.841 (0.004) 
 Player: Opponent:  72.38% (G:23.01% B:0.90%) 27.62% (G:11.35% B:0.34%)  

4.  4ply  16/11  eq: +0.816 (0.028) 
 Player: Opponent:  71.69% (G:22.32% B:0.83%) 28.31% (G:11.05% B:0.29%)  

5.  4ply  16/12 11/10  eq: +0.773 (0.071) 
 Player: Opponent:  70.48% (G:22.36% B:0.83%) 29.52% (G:12.85% B:0.40%)  



52: 6/1 

XGID=BAbbDEbabbbbC:2:1:1:52:4:4:0:11:3 
Pip=120175 



1.  3ply  6/1  eq: 0.974 
 Player: Opponent:  24.48% (G:9.40% B:0.23%) 75.52% (G:25.54% B:0.99%)  



No double 

XGID=CAbbDDbabbbbC:2:1:1:00:4:4:0:11:3 
Pip=115175 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
75.27% (G:23.91% B:0.84%) 
75.64% (G:24.08% B:0.95%) 
Opponent Winning Chances: 
24.73% (G:9.36% B:0.25%) 
24.36% (G:9.28% B:0.25%) 
Cubeless Equities 
+0.638 
+0.978 
Cubeful Equities 
No redouble:  +0.925 (0.054)  
Redouble/Take:  +0.978  
Redouble/Pass:  +1.000 (+0.022) 

Best Cube action: Redouble / Take 


51: 16/15 16/11 

XGID=CAbbDDbabbbbC:2:1:1:51:4:4:0:11:3 
Pip=115175 



1.  4ply  16/15 16/11  eq: +0.937 
 Player: Opponent:  75.82% (G:24.60% B:0.97%) 24.18% (G:8.54% B:0.19%)  

2.  4ply  16/10  eq: +0.901 (0.035) 
 Player: Opponent:  74.73% (G:25.03% B:0.97%) 25.27% (G:10.38% B:0.27%)  

3.  4ply  22/21 22/17  eq: +0.877 (0.060) 
 Player: Opponent:  73.74% (G:22.09% B:0.80%) 26.26% (G:10.08% B:0.19%)  

4.  4ply  16/15 11/6  eq: +0.858 (0.079) 
 Player: Opponent:  73.01% (G:24.15% B:1.02%) 26.99% (G:10.16% B:0.25%)  

5.  4ply  21/15  eq: +0.842 (0.095) 
 Player: Opponent:  73.14% (G:24.48% B:0.79%) 26.86% (G:13.54% B:0.36%)  



32: 5/2 

XGID=CAbbDDabbbbbC:2:1:1:32:4:4:0:11:3 
Pip=115169 



1.  3ply  5/2  eq: 1.000 
 Player: Opponent:  23.45% (G:7.90% B:0.16%) 76.55% (G:24.29% B:0.80%)  



No double 

XGID=CBbbCDabbbbbC:2:1:1:00:4:4:0:11:3 
Pip=112169 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
76.14% (G:22.84% B:0.77%) 
76.16% (G:22.86% B:0.82%) 
Opponent Winning Chances: 
23.86% (G:7.73% B:0.12%) 
23.84% (G:8.22% B:0.15%) 
Cubeless Equities 
+0.660 
+0.998 
Cubeful Equities 
No redouble:  +0.927 (0.071)  
Redouble/Take:  +0.998  
Redouble/Pass:  +1.000 (+0.002) 

Best Cube action: Redouble / Take 


65: 21/16 21/15 

XGID=CBbbCDabbbbbC:2:1:1:65:4:4:0:11:3 
Pip=112169 



1.  4ply  21/16 21/15  eq: +0.960 
 Player: Opponent:  77.04% (G:22.39% B:0.77%) 22.96% (G:6.12% B:0.10%)  

2.  4ply  22/17 22/16  eq: +0.931 (0.029) 
 Player: Opponent:  75.48% (G:20.49% B:0.74%) 24.52% (G:7.00% B:0.10%)  

3.  4ply  15/4  eq: +0.796 (0.164) 
 Player: Opponent:  71.29% (G:21.81% B:0.83%) 28.71% (G:9.59% B:0.17%)  

4.  3ply  11/6 11/5  eq: +0.736 (0.223) 
 Player: Opponent:  69.83% (G:20.30% B:0.67%) 30.17% (G:10.44% B:0.20%)  

5.  3ply  22/11  eq: +0.731 (0.228) 
 Player: Opponent:  69.47% (G:20.06% B:0.58%) 30.53% (G:12.10% B:0.14%)  



54: 22/13 

XGID=CBbCDabbbbbbC:2:1:1:54:4:4:0:11:3 
Pip=112158 



1.  4ply  22/13  eq: 1.000 
 Player: Opponent:  23.49% (G:6.13% B:0.10%) 76.51% (G:20.17% B:0.62%)  

2.  4ply  22/18 6/1  eq: 1.000 
 Player: Opponent:  23.36% (G:8.46% B:0.15%) 76.64% (G:22.83% B:0.73%)  

3.  4ply  6/2 6/1  eq: 1.018 (0.018) 
 Player: Opponent:  17.61% (G:4.01% B:0.04%) 82.39% (G:28.10% B:0.95%)  

4.  4ply  6/1 5/1  eq: 1.023 (0.023) 
 Player: Opponent:  17.45% (G:4.11% B:0.04%) 82.55% (G:28.72% B:0.96%)  



No double 

XGID=CBbCDabAbbbbbB:2:1:1:00:4:4:0:11:3 
Pip=103158 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
76.91% (G:20.56% B:0.63%) 
77.48% (G:22.09% B:0.80%) 
Opponent Winning Chances: 
23.09% (G:6.53% B:0.13%) 
22.52% (G:6.72% B:0.13%) 
Cubeless Equities 
+0.665 
+1.048 
Cubeful Equities 
No redouble:  +0.928 (0.072)  
Redouble/Take:  +1.048 (+0.048)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


22: 16/12* 11/9(2) 

XGID=CBbCDabAbbbbbB:2:1:1:22:4:4:0:11:3 
Pip=103158 



1.  4ply  16/12* 11/9(2)  eq: +1.012 
 Player: Opponent:  81.94% (G:23.49% B:0.69%) 18.06% (G:3.68% B:0.06%)  

2.  4ply  16/12* 15/13 12/10  eq: +1.005 (0.007) 
 Player: Opponent:  80.81% (G:22.66% B:0.77%) 19.19% (G:4.35% B:0.09%)  

3.  4ply  16/12* 15/13(2)  eq: +1.004 (0.008) 
 Player: Opponent:  80.83% (G:23.22% B:0.75%) 19.17% (G:4.24% B:0.08%)  

4.  4ply  16/12* 15/11  eq: +0.999 (0.013) 
 Player: Opponent:  78.54% (G:21.55% B:0.78%) 21.46% (G:4.88% B:0.08%)  

5.  4ply  16/12* 12/8  eq: +0.985 (0.028) 
 Player: Opponent:  77.66% (G:21.85% B:0.75%) 22.34% (G:5.48% B:0.10%)  



51: Bar/24 6/1 

XGID=CBbCDbabbbbbBA:2:1:1:51:4:4:0:11:3 
Pip=115150 



1.  3ply  Bar/24 6/1  eq: 1.020 
 Player: Opponent:  17.18% (G:3.41% B:0.04%) 82.82% (G:26.59% B:0.74%)  



No double 

XGID=DBbCCbabbbbbBA:2:1:1:00:4:4:0:11:3 
Pip=109150 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
82.60% (G:26.19% B:0.92%) 
82.60% (G:25.90% B:0.92%) 
Opponent Winning Chances: 
17.40% (G:3.50% B:0.04%) 
17.40% (G:3.61% B:0.04%) 
Cubeless Equities 
+0.858 
+1.244 
Cubeful Equities 
No redouble:  +1.016  
Redouble/Take:  +1.244 (+0.228)  
Redouble/Pass:  +1.000 (0.016) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 6.4% 


32: 15/13 15/12 

XGID=DBbCCbabbbbbBA:2:1:1:32:4:4:0:11:3 
Pip=109150 



1.  4ply  15/13 15/12  eq: +1.036 
 Player: Opponent:  83.55% (G:26.94% B:0.85%) 16.45% (G:3.33% B:0.04%)  

2.  4ply  15/13 12/9  eq: +1.011 (0.024) 
 Player: Opponent:  82.37% (G:26.21% B:0.90%) 17.63% (G:4.23% B:0.05%)  

3.  4ply  12/7  eq: +0.962 (0.073) 
 Player: Opponent:  78.31% (G:26.42% B:0.93%) 21.69% (G:7.98% B:0.11%)  

4.  4ply  15/10  eq: +0.952 (0.084) 
 Player: Opponent:  79.69% (G:25.49% B:0.88%) 20.31% (G:6.84% B:0.12%)  

5.  3ply  8/6 8/5  eq: +0.842 (0.194) 
 Player: Opponent:  72.90% (G:22.36% B:0.84%) 27.10% (G:7.53% B:0.09%)  



61: 24/18 6/5 

XGID=DBbCCabbbbbbBA:2:1:1:61:4:4:0:11:3 
Pip=109145 



1.  4ply  24/18 6/5  eq: 1.039 
 Player: Opponent:  15.83% (G:3.45% B:0.05%) 84.17% (G:26.51% B:0.76%)  

2.  4ply  24/18 2/1  eq: 1.087 (0.049) 
 Player: Opponent:  13.29% (G:2.26% B:0.03%) 86.71% (G:28.68% B:0.96%)  

3.  4ply  24/18 5/4  eq: 1.100 (0.062) 
 Player: Opponent:  13.42% (G:2.72% B:0.04%) 86.58% (G:29.29% B:1.02%)  



No double 

XGID=DBbDBabbbAbbbB:2:1:1:00:4:4:0:11:3 
Pip=102145 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
84.17% (G:26.51% B:0.76%) 
84.16% (G:26.19% B:0.75%) 
Opponent Winning Chances: 
15.83% (G:3.45% B:0.05%) 
15.84% (G:3.51% B:0.05%) 
Cubeless Equities 
+0.893 
+1.303 
Cubeful Equities 
No redouble:  +1.039  
Redouble/Take:  +1.303 (+0.265)  
Redouble/Pass:  +1.000 (0.039) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 12.8% 


64: 13/7* 12/8 

XGID=DBbDBabbbAbbbB:2:1:1:64:4:4:0:11:3 
Pip=102145 



1.  4ply  13/7* 12/8  eq: +1.052 
 Player: Opponent:  84.35% (G:26.27% B:0.74%) 15.65% (G:3.92% B:0.05%)  

2.  4ply  22/18 13/7*  eq: +1.020 (0.031) 
 Player: Opponent:  82.37% (G:25.05% B:0.68%) 17.63% (G:5.02% B:0.07%)  

3.  3ply  13/9 12/6  eq: +0.898 (0.153) 
 Player: Opponent:  75.04% (G:21.54% B:0.64%) 24.96% (G:5.07% B:0.04%)  

4.  3ply  22/16 13/9  eq: +0.897 (0.155) 
 Player: Opponent:  75.82% (G:21.34% B:0.71%) 24.18% (G:5.51% B:0.03%)  

5.  3ply  12/8 12/6  eq: +0.897 (0.155) 
 Player: Opponent:  75.06% (G:22.55% B:0.72%) 24.94% (G:5.40% B:0.04%)  



52: Bar/18* 

XGID=DBbDBabcabbbBA:2:1:1:52:4:4:0:11:3 
Pip=109135 



1.  3ply  Bar/18*  eq: 0.953 
 Player: Opponent:  25.01% (G:10.06% B:0.14%) 74.99% (G:23.51% B:0.77%)  

2.  2ply  Bar/23 6/1  eq: 1.163 (0.210) 
 Player: Opponent:  9.83% (G:0.89% B:0.01%) 90.17% (G:32.48% B:1.01%)  



No double 

XGID=aDBbDBabcAbbbB:2:1:1:00:4:4:0:11:3 
Pip=102153 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
74.81% (G:23.72% B:0.92%) 
74.98% (G:23.60% B:0.95%) 
Opponent Winning Chances: 
25.19% (G:9.51% B:0.11%) 
25.02% (G:9.72% B:0.12%) 
Cubeless Equities 
+0.625 
+0.953 
Cubeful Equities 
No redouble:  +0.880 (0.073)  
Redouble/Take:  +0.953  
Redouble/Pass:  +1.000 (+0.047) 

Best Cube action: Redouble / Take 


32: Bar/22 12/10 

XGID=aDBbDBabcAbbbB:2:1:1:32:4:4:0:11:3 
Pip=102153 



1.  4ply  Bar/22 12/10  eq: +0.937 
 Player: Opponent:  76.86% (G:23.25% B:0.89%) 23.14% (G:6.75% B:0.08%)  

2.  4ply  Bar/22 8/6  eq: +0.908 (0.028) 
 Player: Opponent:  75.22% (G:22.78% B:0.92%) 24.78% (G:7.57% B:0.09%)  

3.  4ply  Bar/22 9/7*  eq: +0.795 (0.142) 
 Player: Opponent:  75.53% (G:25.07% B:0.76%) 24.47% (G:13.28% B:0.39%)  

4.  1ply  Bar/22 4/2  eq: +0.326 (0.611) 
 Player: Opponent:  57.73% (G:18.78% B:0.51%) 42.27% (G:20.98% B:0.43%)  

5.  1ply  Bar/22 6/4  eq: +0.245 (0.691) 
 Player: Opponent:  55.27% (G:14.42% B:0.52%) 44.73% (G:21.54% B:0.45%)  



64: 18/8 

XGID=DBcDBabcAbbbB:2:1:1:64:4:4:0:11:3 
Pip=102148 



1.  4ply  18/12 5/1  eq: 1.000 
 Player: Opponent:  20.74% (G:4.10% B:0.03%) 79.26% (G:25.37% B:0.73%)  

2.  4ply  22/12  eq: 1.000 
 Player: Opponent:  21.01% (G:7.82% B:0.15%) 78.99% (G:29.77% B:1.75%)  

3.  4ply  18/8  eq: 1.000 (0.000) 
 Player: Opponent:  19.44% (G:3.30% B:0.03%) 80.56% (G:24.68% B:0.69%)  

4.  4ply  18/12 6/2  eq: 1.059 (0.059) 
 Player: Opponent:  15.89% (G:2.22% B:0.01%) 84.11% (G:27.50% B:0.87%)  



21: 10/9 8/6 

XGID=DBcDBAabcbbbB:2:1:1:21:4:4:0:11:3 
Pip=92148 



1.  4ply  10/9 8/6  eq: +0.971 
 Player: Opponent:  77.88% (G:23.53% B:1.00%) 22.12% (G:4.88% B:0.05%)  

2.  4ply  22/21 10/8  eq: +0.964 (0.007) 
 Player: Opponent:  78.49% (G:23.59% B:0.91%) 21.51% (G:5.46% B:0.04%)  

3.  4ply  8/5  eq: +0.949 (0.021) 
 Player: Opponent:  77.24% (G:23.07% B:0.95%) 22.76% (G:5.96% B:0.07%)  

4.  4ply  22/21 8/6  eq: +0.930 (0.040) 
 Player: Opponent:  77.33% (G:23.08% B:1.00%) 22.67% (G:6.58% B:0.07%)  

5.  3ply  10/7  eq: +0.831 (0.140) 
 Player: Opponent:  74.23% (G:22.87% B:0.66%) 25.77% (G:8.70% B:0.08%)  



22: 8/4 6/4(2) 

XGID=DBcDBAcbcbbB:2:1:1:22:4:4:0:11:3 
Pip=92145 



1.  4ply  8/4 6/4(2)  eq: 0.986 
 Player: Opponent:  24.15% (G:5.00% B:0.03%) 75.85% (G:20.57% B:0.55%)  

2.  4ply  6/2(2)  eq: 1.036 (0.050) 
 Player: Opponent:  16.49% (G:2.17% B:0.01%) 83.51% (G:27.32% B:0.75%)  

3.  4ply  8/2 6/4  eq: 1.062 (0.076) 
 Player: Opponent:  15.76% (G:2.21% B:0.01%) 84.24% (G:28.22% B:0.97%)  



No double 

XGID=DBcCDcbcbbB:2:1:1:00:4:4:0:11:3 
Pip=84145 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
76.10% (G:20.18% B:0.59%) 
76.07% (G:19.87% B:0.71%) 
Opponent Winning Chances: 
23.90% (G:5.11% B:0.04%) 
23.93% (G:5.20% B:0.05%) 
Cubeless Equities 
+0.659 
+0.995 
Cubeful Equities 
No redouble:  +0.954 (0.041)  
Redouble/Take:  +0.995  
Redouble/Pass:  +1.000 (+0.005) 

Best Cube action: Redouble / Take 


41: 22/18 9/8 

XGID=DBcCDcbcbbB:2:1:1:41:4:4:0:11:3 
Pip=84145 



1.  4ply  22/17  eq: +0.951 
 Player: Opponent:  76.25% (G:19.14% B:0.63%) 23.75% (G:5.15% B:0.04%)  

2.  4ply  22/18 9/8  eq: +0.948 (0.003) 
 Player: Opponent:  76.33% (G:19.48% B:0.66%) 23.67% (G:5.21% B:0.05%)  

3.  4ply  22/18 6/5  eq: +0.945 (0.006) 
 Player: Opponent:  75.70% (G:19.16% B:0.67%) 24.30% (G:5.13% B:0.04%)  

4.  4ply  9/4  eq: +0.913 (0.038) 
 Player: Opponent:  74.71% (G:20.19% B:0.83%) 25.29% (G:5.59% B:0.05%)  

5.  4ply  9/8 6/2  eq: +0.882 (0.070) 
 Player: Opponent:  73.66% (G:20.15% B:0.82%) 26.34% (G:6.89% B:0.08%)  



55: Cannot Move 

XGID=DBbCDabccbbB:2:1:1:55:4:4:0:11:3 
Pip=84140 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  23.45% (G:4.26% B:0.02%) 76.55% (G:19.68% B:0.51%)  



No double 

XGID=DBbCDabccbbB:2:1:1:00:4:4:0:11:3 
Pip=84140 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
76.28% (G:19.88% B:0.55%) 
76.26% (G:18.65% B:0.61%) 
Opponent Winning Chances: 
23.72% (G:4.28% B:0.03%) 
23.74% (G:4.50% B:0.04%) 
Cubeless Equities 
+0.667 
+1.002 
Cubeful Equities 
No redouble:  +0.957 (0.043)  
Redouble/Take:  +1.002 (+0.002)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


66: 22/16 22/4 

XGID=DBbCDabccbbB:2:1:1:66:4:4:0:11:3 
Pip=84140 



1.  4ply  22/16 22/4  eq: +0.957 
 Player: Opponent:  75.96% (G:15.86% B:0.32%) 24.04% (G:1.98% B:0.01%)  

2.  4ply  22/10(2)  eq: +0.948 (0.009) 
 Player: Opponent:  75.12% (G:13.50% B:0.19%) 24.88% (G:1.44% B:0.01%)  

3.  4ply  22/16(2) 18/6  eq: +0.947 (0.009) 
 Player: Opponent:  75.04% (G:14.71% B:0.29%) 24.96% (G:2.00% B:0.01%)  

4.  4ply  22/16(2) 18/12 8/2  eq: +0.913 (0.044) 
 Player: Opponent:  74.15% (G:15.83% B:0.41%) 25.85% (G:4.00% B:0.03%)  

5.  4ply  22/16 22/10 8/2  eq: +0.908 (0.049) 
 Player: Opponent:  74.32% (G:16.66% B:0.43%) 25.68% (G:4.37% B:0.07%)  



42: 5/3 5/1 

XGID=DBCDaabccbcB:2:1:1:42:4:4:0:11:3 
Pip=84116 



1.  4ply  5/3 5/1  eq: 1.000 
 Player: Opponent:  22.31% (G:2.06% B:0.01%) 77.69% (G:17.56% B:0.45%)  

2.  4ply  5/1 4/2  eq: 1.000 
 Player: Opponent:  20.32% (G:1.46% B:0.00%) 79.68% (G:18.86% B:0.47%)  

3.  4ply  22/18 5/3  eq: 1.000 
 Player: Opponent:  18.99% (G:5.68% B:0.13%) 81.01% (G:24.45% B:1.10%)  

4.  4ply  22/18 4/2  eq: 1.000 
 Player: Opponent:  18.35% (G:4.19% B:0.06%) 81.65% (G:21.96% B:0.84%)  



Double/Pass 

XGID=EBACBaabccbcB:2:1:1:00:4:4:0:11:3 
Pip=78116 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
77.73% (G:18.04% B:0.46%) 
77.69% (G:17.56% B:0.45%) 
Opponent Winning Chances: 
22.27% (G:2.16% B:0.01%) 
22.31% (G:2.06% B:0.01%) 
Cubeless Equities 
+0.699 
+1.056 
Cubeful Equities 
No redouble:  +0.962 (0.038)  
Redouble/Take:  +1.056 (+0.056)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


Wins 4pts. 



