31: 8/5 6/5 

XGID=bECeEceB:0:0:1:31:2:3:0:11:3 
Pip=167167 



1.  Book^{1}  8/5 6/5  eq: +0.241 
 Player: Opponent:  55.28% (G:16.51% B:0.69%) 44.72% (G:11.25% B:0.49%)  

2.  Book^{1}  24/23 13/10  eq: 0.011 (0.252) 
 Player: Opponent:  49.61% (G:13.68% B:0.54%) 50.39% (G:13.51% B:0.59%)  

3.  Book^{1}  13/10 6/5  eq: 0.028 (0.269) 
 Player: Opponent:  49.61% (G:13.55% B:0.53%) 50.39% (G:14.06% B:0.87%)  

4.  Book^{1}  13/9  eq: 0.038 (0.278) 
 Player: Opponent:  49.03% (G:13.76% B:0.63%) 50.97% (G:13.82% B:0.67%)  

5.  Book^{1}  24/20  eq: 0.041 (0.282) 
 Player: Opponent:  49.09% (G:12.50% B:0.57%) 50.91% (G:13.39% B:0.50%)  


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



21: 24/23 13/11 

XGID=bECeEbdbB:0:0:1:21:2:3:0:11:3 
Pip=167163 



1.  4ply  24/23 13/11  eq: 0.347 
 Player: Opponent:  41.97% (G:10.31% B:0.41%) 58.03% (G:17.92% B:0.85%)  

2.  4ply  24/23 24/22  eq: 0.373 (0.026) 
 Player: Opponent:  41.63% (G:9.44% B:0.39%) 58.37% (G:18.24% B:0.68%)  

3.  4ply  24/21  eq: 0.386 (0.039) 
 Player: Opponent:  41.38% (G:9.38% B:0.40%) 58.62% (G:18.00% B:0.73%)  

4.  4ply  13/10  eq: 0.407 (0.060) 
 Player: Opponent:  40.42% (G:10.29% B:0.44%) 59.58% (G:18.32% B:1.07%)  

5.  4ply  13/11 6/5  eq: 0.418 (0.071) 
 Player: Opponent:  41.06% (G:9.98% B:0.39%) 58.94% (G:19.51% B:1.51%)  



No double 

XGID=bECAeDbdbAA:0:0:1:00:2:3:0:11:3 
Pip=164163 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.03% (G:17.92% B:0.85%) 
58.04% (G:17.90% B:0.85%) 
Opponent Winning Chances: 
41.97% (G:10.31% B:0.41%) 
41.96% (G:10.30% B:0.41%) 
Cubeless Equities 
+0.257 
+0.542 
Cubeful Equities 
No double:  +0.347  
Double/Take:  +0.169 (0.178)  
Double/Pass:  +1.000 (+0.653) 

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


44: 8/4(2) 6/2*(2) 

XGID=bECAeDbdbAA:0:0:1:44:2:3:0:11:3 
Pip=164163 



1.  4ply  8/4(2) 6/2*(2)  eq: +0.854 
 Player: Opponent:  67.94% (G:30.38% B:1.93%) 32.06% (G:6.63% B:0.27%)  

2.  4ply  24/20(2) 13/9(2)  eq: +0.807 (0.047) 
 Player: Opponent:  67.36% (G:19.71% B:0.74%) 32.64% (G:5.10% B:0.16%)  

3.  4ply  24/20(2) 6/2*(2)  eq: +0.777 (0.076) 
 Player: Opponent:  66.31% (G:22.80% B:1.20%) 33.69% (G:5.52% B:0.20%)  

4.  3ply  24/20(2) 8/4(2)  eq: +0.720 (0.133) 
 Player: Opponent:  65.14% (G:20.88% B:0.69%) 34.86% (G:5.15% B:0.13%)  

5.  3ply  13/9(2) 6/2*(2)  eq: +0.719 (0.135) 
 Player: Opponent:  64.70% (G:26.17% B:1.61%) 35.30% (G:7.94% B:0.35%)  



53: Bar/22 13/8 

XGID=bECAeDbbbbAA:0:0:1:53:2:3:0:11:3 
Pip=166147 



1.  3ply  Bar/22 13/8  eq: 0.663 
 Player: Opponent:  36.45% (G:8.20% B:0.35%) 63.55% (G:26.15% B:1.15%)  

2.  3ply  Bar/22 11/6  eq: 0.786 (0.123) 
 Player: Opponent:  34.62% (G:7.49% B:0.30%) 65.38% (G:27.00% B:0.88%)  

3.  2ply  Bar/17  eq: 1.000 (0.337) 
 Player: Opponent:  32.27% (G:6.20% B:0.26%) 67.73% (G:33.19% B:1.76%)  

4.  2ply  Bar/22 8/3  eq: 1.000 (0.337) 
 Player: Opponent:  32.01% (G:6.68% B:0.28%) 67.99% (G:34.20% B:2.62%)  



No double 

XGID=bEDAeCbbbAbA:0:0:1:00:2:3:0:11:3 
Pip=158147 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
63.39% (G:26.20% B:1.06%) 
63.41% (G:26.02% B:1.04%) 
Opponent Winning Chances: 
36.61% (G:8.11% B:0.35%) 
36.59% (G:8.08% B:0.34%) 
Cubeless Equities 
+0.480 
+0.999 
Cubeful Equities 
No double:  +0.640 (0.027)  
Double/Take:  +0.667  
Double/Pass:  +1.000 (+0.333) 

Best Cube action: Double / Take 


54: 24/15 

XGID=bEDAeCbbbAbA:0:0:1:54:2:3:0:11:3 
Pip=158147 



1.  XG Roller+  13/4  eq: +0.558 
 Player: Opponent:  60.95% (G:24.68% B:0.89%) 39.05% (G:8.99% B:0.43%)  

2.  XG Roller+  24/15  eq: +0.511 (0.046) 
 Player: Opponent:  61.77% (G:19.26% B:0.74%) 38.23% (G:8.40% B:0.30%)  

3.  4ply  13/9 13/8  eq: +0.475 (0.083) 
 Player: Opponent:  59.40% (G:23.96% B:1.00%) 40.60% (G:9.45% B:0.55%)  

4.  4ply  24/20 13/8  eq: +0.439 (0.118) 
 Player: Opponent:  59.03% (G:21.03% B:1.03%) 40.97% (G:9.51% B:0.44%)  

5.  1ply  13/9 6/1*  eq: +0.040 (0.518) 
 Player: Opponent:  49.65% (G:19.96% B:0.83%) 50.35% (G:14.81% B:1.14%)  



66: 22/10* 8/2(2) 

XGID=aEDaAeCbbbAbA:0:0:1:66:2:3:0:11:3 
Pip=158138 



1.  3ply  22/10* 8/2(2)  eq: 0.294 
 Player: Opponent:  43.39% (G:11.82% B:0.56%) 56.61% (G:20.27% B:0.80%)  

2.  3ply  22/10* 13/1*  eq: 0.504 (0.210) 
 Player: Opponent:  38.85% (G:10.42% B:0.28%) 61.15% (G:25.12% B:1.59%)  

3.  3ply  24/18 22/10* 13/7  eq: 0.711 (0.417) 
 Player: Opponent:  38.25% (G:7.23% B:0.26%) 61.75% (G:30.34% B:2.26%)  

4.  2ply  22/10* 13/7(2)  eq: 0.570 (0.276) 
 Player: Opponent:  36.70% (G:8.74% B:0.43%) 63.30% (G:24.00% B:1.60%)  

5.  1ply  13/1* 8/2(2)  eq: 0.833 (0.538) 
 Player: Opponent:  33.06% (G:9.86% B:0.23%) 66.94% (G:26.96% B:2.32%)  



No double 

XGID=aaBEBAAeCbbbbA:0:0:1:00:2:3:0:11:3 
Pip=134148 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
56.51% (G:20.42% B:0.87%) 
56.51% (G:20.43% B:0.87%) 
Opponent Winning Chances: 
43.49% (G:11.76% B:0.55%) 
43.49% (G:11.77% B:0.55%) 
Cubeless Equities 
+0.238 
+0.500 
Cubeful Equities 
No double:  +0.289  
Double/Take:  +0.105 (0.184)  
Double/Pass:  +1.000 (+0.711) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.1% 


31: Bar/21 

XGID=aaBEBAAeCbbbbA:0:0:1:31:2:3:0:11:3 
Pip=134148 



1.  XG Roller+  Bar/24 13/10  eq: +0.157 
 Player: Opponent:  53.18% (G:18.61% B:0.68%) 46.82% (G:12.27% B:0.76%)  

2.  XG Roller+  Bar/21  eq: +0.070 (0.087) 
 Player: Opponent:  51.81% (G:16.94% B:0.68%) 48.19% (G:15.23% B:0.51%)  

3.  2ply  Bar/22 2/1*  eq: 0.201 (0.357) 
 Player: Opponent:  45.70% (G:16.32% B:0.70%) 54.30% (G:20.92% B:1.34%)  

4.  1ply  Bar/24 4/1*  eq: 0.346 (0.502) 
 Player: Opponent:  41.75% (G:14.72% B:0.60%) 58.25% (G:20.73% B:1.70%)  

5.  1ply  Bar/22 6/5  eq: 0.386 (0.543) 
 Player: Opponent:  41.41% (G:12.16% B:0.50%) 58.59% (G:21.44% B:1.04%)  



21: 11/9 10/9 

XGID=aBaEBAAeCbbbbA:0:0:1:21:2:3:0:11:3 
Pip=134144 



1.  XG Roller+  24/22 11/10  eq: 0.060 
 Player: Opponent:  50.14% (G:10.02% B:0.37%) 49.86% (G:16.02% B:0.32%)  

2.  XG Roller+  11/9 10/9  eq: 0.183 (0.123) 
 Player: Opponent:  46.50% (G:10.76% B:0.35%) 53.50% (G:16.93% B:0.39%)  

3.  3ply  11/10 6/4*  eq: 0.322 (0.262) 
 Player: Opponent:  43.43% (G:12.54% B:0.59%) 56.57% (G:21.49% B:0.78%)  

4.  2ply  13/10  eq: 0.430 (0.370) 
 Player: Opponent:  40.40% (G:9.82% B:0.38%) 59.60% (G:21.51% B:0.80%)  

5.  1ply  11/8  eq: 0.586 (0.526) 
 Player: Opponent:  36.68% (G:8.72% B:0.31%) 63.32% (G:23.54% B:0.79%)  



44: 13/9(2) 5/1*(2) 

XGID=aBaEBBeCbbbbA:0:0:1:44:2:3:0:11:3 
Pip=131144 



1.  3ply  13/9(2) 5/1*(2)  eq: +0.549 
 Player: Opponent:  59.73% (G:26.54% B:0.30%) 40.27% (G:9.49% B:0.50%)  

2.  3ply  13/9 13/1*  eq: +0.370 (0.179) 
 Player: Opponent:  56.79% (G:23.66% B:0.41%) 43.21% (G:11.84% B:0.78%)  

3.  3ply  13/9(2) 13/5  eq: +0.306 (0.243) 
 Player: Opponent:  55.98% (G:21.79% B:0.67%) 44.02% (G:12.16% B:0.41%)  

4.  2ply  24/20 13/9 5/1*(2)  eq: +0.251 (0.298) 
 Player: Opponent:  54.07% (G:21.23% B:0.14%) 45.93% (G:11.07% B:0.57%)  

5.  2ply  24/20 13/1*  eq: +0.228 (0.321) 
 Player: Opponent:  54.25% (G:19.93% B:0.23%) 45.75% (G:11.23% B:0.52%)  



54: Bar/20 6/2 

XGID=aBaEBBcCbbbbbA:0:0:1:54:2:3:0:11:3 
Pip=132128 



1.  XG Roller+  Bar/20 13/9  eq: 0.139 
 Player: Opponent:  48.33% (G:10.87% B:0.68%) 51.67% (G:18.83% B:0.17%)  

2.  XG Roller+  Bar/20 6/2  eq: 0.214 (0.075) 
 Player: Opponent:  46.29% (G:10.37% B:0.55%) 53.71% (G:20.57% B:0.21%)  

3.  3ply  Bar/20 8/4*  eq: 0.317 (0.179) 
 Player: Opponent:  43.41% (G:13.63% B:0.61%) 56.59% (G:28.59% B:0.87%)  

4.  1ply  Bar/20 9/5  eq: 1.000 (0.861) 
 Player: Opponent:  29.87% (G:7.68% B:0.39%) 70.13% (G:41.31% B:1.80%)  



42: 13/11 9/5* 

XGID=aCaDBBcCbbAbbb:0:0:1:42:2:3:0:11:3 
Pip=123128 



1.  4ply  24/22 9/5*  eq: +0.281 
 Player: Opponent:  53.97% (G:23.25% B:0.14%) 46.03% (G:14.02% B:0.89%)  

2.  4ply  13/11 9/5*  eq: +0.274 (0.007) 
 Player: Opponent:  56.43% (G:26.12% B:0.14%) 43.57% (G:14.40% B:1.33%)  

3.  4ply  9/7 9/5*  eq: +0.228 (0.052) 
 Player: Opponent:  52.53% (G:21.46% B:0.12%) 47.47% (G:13.06% B:0.80%)  

4.  4ply  9/5* 5/3  eq: +0.206 (0.074) 
 Player: Opponent:  52.47% (G:21.73% B:0.14%) 47.53% (G:14.32% B:0.96%)  

5.  2ply  24/22 13/9  eq: 0.141 (0.422) 
 Player: Opponent:  45.00% (G:12.69% B:0.14%) 55.00% (G:12.14% B:0.33%)  



64: Cannot Move 

XGID=aCaDBBbCaababbbA:0:0:1:64:2:3:0:11:3 
Pip=128122 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  26.21% (G:5.43% B:0.35%) 73.79% (G:39.85% B:0.29%)  



Double/Pass 

XGID=aCaDBBbCaababbbA:0:0:1:00:2:3:0:11:3 
Pip=128122 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
73.78% (G:39.89% B:0.29%) 
73.79% (G:39.85% B:0.29%) 
Opponent Winning Chances: 
26.22% (G:5.45% B:0.35%) 
26.21% (G:5.43% B:0.35%) 
Cubeless Equities 
+0.856 
+1.775 
Cubeful Equities 
No double:  +0.989 (0.011)  
Double/Take:  +1.519 (+0.519)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



