52: 13/11 13/8 

XGID=bECeEceB:0:0:1:52:8:6:0:11:3 
Pip=167167 



1.  Book^{1}  13/11 13/8  eq: +0.114 
 Player: Opponent:  50.03% (G:14.53% B:0.77%) 49.97% (G:14.65% B:1.95%)  Conf.: ± 0.004 (+0.111...+0.118)  [96.9%] 

2.  Book^{1}  24/22 13/8  eq: +0.109 (0.005) 
 Player: Opponent:  50.35% (G:13.45% B:0.62%) 49.65% (G:13.87% B:1.59%)  Conf.: ± 0.003 (+0.106...+0.113)  [3.1%] 

3.  Book^{2}  13/8 6/4  eq: +0.065 (0.050) 
 Player: Opponent:  49.01% (G:13.68% B:0.64%) 50.99% (G:15.52% B:2.33%)  Conf.: ± 0.007 (+0.058...+0.072)  [0.0%] 

4.  Book^{3}  13/6  eq: +0.007 (0.107) 
 Player: Opponent:  47.53% (G:13.22% B:0.61%) 52.47% (G:14.68% B:0.66%)  

5.  3ply  13/11 8/3  eq: 0.051 (0.165) 
 Player: Opponent:  46.45% (G:12.96% B:0.66%) 53.55% (G:15.73% B:0.98%)  


^{1} Generated by Stick Rice on 1/11/2011 using eXtreme Gammon 1.21 46656 Games rolled with Variance Reduction. Dice Seed: 74138057 Moves and cube decisions: 3ply
^{2} Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00 10368 Games rolled with Variance Reduction. Dice Seed: 38613390 Moves: 2ply, cube decisions: 3ply Red
^{3} Generated by GameSite 2000, Ltd on 5/21/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



62: 24/16 

XGID=bECcEadeB:0:0:1:62:8:6:0:11:3 
Pip=167160 



1.  XG Roller+  24/18 13/11  eq: 0.242 
 Player: Opponent:  47.67% (G:12.11% B:0.59%) 52.33% (G:17.00% B:0.68%)  

2.  XG Roller+  24/16  eq: 0.268 (0.026) 
 Player: Opponent:  46.74% (G:10.82% B:0.50%) 53.26% (G:16.32% B:0.57%)  

3.  4ply  13/5  eq: 0.244 (0.002) 
 Player: Opponent:  46.45% (G:12.63% B:0.53%) 53.55% (G:15.64% B:0.89%)  

4.  4ply  13/11 13/7  eq: 0.268 (0.026) 
 Player: Opponent:  46.19% (G:12.85% B:0.59%) 53.81% (G:16.28% B:1.07%)  

5.  4ply  24/22 13/7  eq: 0.294 (0.052) 
 Player: Opponent:  45.15% (G:11.60% B:0.52%) 54.85% (G:16.43% B:0.77%)  



No double 

XGID=bECcEaAdeA:0:0:1:00:8:6:0:11:3 
Pip=159160 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.37% (G:16.52% B:0.63%) 
53.34% (G:16.69% B:0.63%) 
Opponent Winning Chances: 
46.63% (G:10.94% B:0.49%) 
46.66% (G:11.03% B:0.51%) 
Cubeless Equities 
+0.078 
+0.279 
Cubeful Equities 
No double:  +0.257  
Double/Take:  +0.121 (0.137)  
Double/Pass:  +1.000 (+0.743) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.5% 


52: 13/8 11/9* 

XGID=bECcEaAdeA:0:0:1:52:8:6:0:11:3 
Pip=159160 



1.  4ply  11/9* 6/1*  eq: +0.184 
 Player: Opponent:  51.43% (G:16.38% B:0.49%) 48.57% (G:12.75% B:0.68%)  

2.  4ply  13/8 11/9*  eq: +0.179 (0.005) 
 Player: Opponent:  51.44% (G:15.62% B:0.72%) 48.56% (G:12.22% B:0.58%)  

3.  4ply  11/9* 9/4  eq: +0.099 (0.085) 
 Player: Opponent:  49.81% (G:14.19% B:0.60%) 50.19% (G:12.97% B:0.65%)  

4.  3ply  11/9* 8/3  eq: +0.057 (0.127) 
 Player: Opponent:  48.73% (G:14.67% B:0.66%) 51.27% (G:14.11% B:0.90%)  

5.  3ply  13/11 6/1*  eq: +0.008 (0.176) 
 Player: Opponent:  47.37% (G:13.72% B:0.39%) 52.63% (G:12.93% B:0.66%)  



43: Bar/21 24/21 

XGID=bECbEaeeAA:0:0:1:43:8:6:0:11:3 
Pip=168153 



1.  3ply  Bar/21 24/21  eq: 0.016 
 Player: Opponent:  51.06% (G:11.67% B:0.47%) 48.94% (G:10.55% B:0.30%)  

2.  3ply  Bar/21 13/10  eq: 0.268 (0.252) 
 Player: Opponent:  46.68% (G:11.98% B:0.59%) 53.32% (G:17.22% B:0.79%)  

3.  2ply  Bar/22 13/9  eq: 0.286 (0.270) 
 Player: Opponent:  46.01% (G:11.88% B:0.63%) 53.99% (G:18.42% B:0.82%)  

4.  2ply  Bar/21 8/5  eq: 0.322 (0.307) 
 Player: Opponent:  45.27% (G:11.30% B:0.49%) 54.73% (G:18.80% B:0.88%)  

5.  2ply  Bar/18  eq: 0.328 (0.312) 
 Player: Opponent:  45.09% (G:10.07% B:0.46%) 54.91% (G:18.30% B:0.61%)  



33: 24/21(2) 8/5(2) 

XGID=bECbEaeeB:0:0:1:33:8:6:0:11:3 
Pip=161153 



1.  4ply  24/21(2) 8/5(2)  eq: +0.292 
 Player: Opponent:  55.48% (G:12.71% B:0.40%) 44.52% (G:6.81% B:0.19%)  

2.  4ply  8/5(2) 6/3(2)  eq: +0.223 (0.069) 
 Player: Opponent:  53.80% (G:12.84% B:0.45%) 46.20% (G:9.72% B:0.37%)  

3.  4ply  24/21 8/5(2) 6/3  eq: +0.207 (0.085) 
 Player: Opponent:  52.63% (G:14.43% B:0.49%) 47.37% (G:10.07% B:0.44%)  

4.  4ply  24/21 9/6 8/5(2)  eq: +0.203 (0.089) 
 Player: Opponent:  53.46% (G:12.16% B:0.35%) 46.54% (G:9.39% B:0.32%)  

5.  4ply  24/18(2)  eq: +0.182 (0.111) 
 Player: Opponent:  54.10% (G:9.05% B:0.23%) 45.90% (G:7.29% B:0.25%)  



54: 13/8 6/2 

XGID=bECbEacebB:0:0:1:54:8:6:0:11:3 
Pip=161141 



1.  4ply  13/8 6/2  eq: 0.358 
 Player: Opponent:  40.34% (G:5.62% B:0.14%) 59.66% (G:9.00% B:0.27%)  

2.  4ply  8/3 6/2  eq: 0.408 (0.050) 
 Player: Opponent:  39.10% (G:5.72% B:0.16%) 60.90% (G:9.89% B:0.32%)  

3.  4ply  21/16* 13/9  eq: 0.435 (0.077) 
 Player: Opponent:  43.25% (G:8.12% B:0.28%) 56.75% (G:20.02% B:0.84%)  

4.  4ply  13/9 13/8  eq: 0.449 (0.091) 
 Player: Opponent:  39.18% (G:6.49% B:0.21%) 60.82% (G:11.89% B:0.37%)  

5.  4ply  21/16* 6/2  eq: 0.462 (0.104) 
 Player: Opponent:  42.73% (G:7.44% B:0.21%) 57.27% (G:20.83% B:0.77%)  



No double 

XGID=AbDDbDacebB:0:0:1:00:8:6:0:11:3 
Pip=152141 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
59.66% (G:9.00% B:0.27%) 
59.86% (G:8.86% B:0.27%) 
Opponent Winning Chances: 
40.34% (G:5.62% B:0.14%) 
40.14% (G:5.69% B:0.15%) 
Cubeless Equities 
+0.205 
+0.398 
Cubeful Equities 
No double:  +0.358  
Double/Take:  +0.235 (0.123)  
Double/Pass:  +1.000 (+0.642) 

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


52: 9/2 

XGID=AbDDbDacebB:0:0:1:52:8:6:0:11:3 
Pip=152141 



1.  4ply  9/2  eq: +0.245 
 Player: Opponent:  55.94% (G:9.15% B:0.27%) 44.06% (G:6.91% B:0.20%)  

2.  4ply  9/7 8/3  eq: +0.238 (0.007) 
 Player: Opponent:  55.23% (G:9.96% B:0.34%) 44.77% (G:6.68% B:0.18%)  

3.  4ply  21/16 9/7  eq: +0.227 (0.019) 
 Player: Opponent:  55.23% (G:10.99% B:0.42%) 44.77% (G:10.15% B:0.41%)  

4.  4ply  9/7 6/1  eq: +0.223 (0.022) 
 Player: Opponent:  54.27% (G:11.20% B:0.30%) 45.73% (G:7.46% B:0.22%)  

5.  4ply  13/11 13/8  eq: +0.220 (0.025) 
 Player: Opponent:  54.61% (G:10.09% B:0.32%) 45.39% (G:6.55% B:0.17%)  



11: 8/7(2) 6/5(2) 

XGID=AbDDbDcebBa:0:0:1:11:8:6:0:11:3 
Pip=152134 



1.  4ply  8/7(2) 6/5(2)  eq: 0.109 
 Player: Opponent:  48.14% (G:8.63% B:0.33%) 51.86% (G:9.23% B:0.23%)  

2.  4ply  8/5 6/5  eq: 0.167 (0.057) 
 Player: Opponent:  46.13% (G:8.05% B:0.26%) 53.87% (G:8.85% B:0.21%)  

3.  3ply  8/7 6/5(2) 2/1  eq: 0.345 (0.236) 
 Player: Opponent:  42.69% (G:8.42% B:0.29%) 57.31% (G:12.76% B:0.40%)  

4.  2ply  8/7(2) 6/5 2/1  eq: 0.417 (0.307) 
 Player: Opponent:  40.00% (G:7.53% B:0.28%) 60.00% (G:13.26% B:0.37%)  

5.  2ply  8/7(4)  eq: 0.417 (0.307) 
 Player: Opponent:  38.14% (G:5.75% B:0.15%) 61.86% (G:9.07% B:0.24%)  



61: 8/2 6/5 

XGID=AbBBBBbDcebBa:0:0:1:61:8:6:0:11:3 
Pip=148134 



1.  4ply  8/2 6/5  eq: +0.042 
 Player: Opponent:  49.71% (G:9.07% B:0.23%) 50.29% (G:9.23% B:0.28%)  

2.  4ply  8/1  eq: 0.041 (0.083) 
 Player: Opponent:  47.10% (G:9.18% B:0.19%) 52.90% (G:9.81% B:0.36%)  

3.  4ply  21/15 6/5  eq: 0.066 (0.108) 
 Player: Opponent:  47.30% (G:10.42% B:0.36%) 52.70% (G:15.30% B:0.57%)  

4.  3ply  13/7 8/7  eq: 0.100 (0.143) 
 Player: Opponent:  45.17% (G:8.81% B:0.26%) 54.83% (G:9.03% B:0.31%)  

5.  3ply  21/15 2/1  eq: 0.124 (0.167) 
 Player: Opponent:  46.10% (G:9.63% B:0.29%) 53.90% (G:15.64% B:0.55%)  



42: 13/7 

XGID=AbBBBBbDbdcBb:0:0:1:42:8:6:0:11:3 
Pip=148127 



1.  3ply  13/7  eq: 0.061 
 Player: Opponent:  49.41% (G:9.81% B:0.31%) 50.59% (G:9.04% B:0.23%)  

2.  3ply  13/11 13/9  eq: 0.199 (0.138) 
 Player: Opponent:  47.62% (G:9.20% B:0.32%) 52.38% (G:13.68% B:0.42%)  

3.  3ply  7/5 7/3  eq: 0.208 (0.147) 
 Player: Opponent:  45.35% (G:8.95% B:0.26%) 54.65% (G:10.27% B:0.32%)  

4.  3ply  8/2  eq: 0.307 (0.247) 
 Player: Opponent:  43.74% (G:8.30% B:0.25%) 56.26% (G:12.00% B:0.31%)  

5.  2ply  13/11 7/3  eq: 0.440 (0.379) 
 Player: Opponent:  40.90% (G:7.44% B:0.28%) 59.10% (G:16.96% B:0.59%)  



54: 6/1 5/1 

XGID=AbBBCBbCbdcBb:0:0:1:54:8:6:0:11:3 
Pip=142127 



1.  4ply  6/1 5/1  eq: +0.001 
 Player: Opponent:  48.44% (G:9.32% B:0.16%) 51.56% (G:9.71% B:0.28%)  

2.  4ply  13/9 13/8  eq: 0.035 (0.036) 
 Player: Opponent:  46.24% (G:10.42% B:0.27%) 53.76% (G:8.41% B:0.22%)  

3.  4ply  6/2 6/1  eq: 0.135 (0.136) 
 Player: Opponent:  44.80% (G:8.63% B:0.16%) 55.20% (G:11.63% B:0.37%)  

4.  3ply  21/16 6/2  eq: 0.118 (0.119) 
 Player: Opponent:  45.76% (G:10.33% B:0.25%) 54.24% (G:14.92% B:0.54%)  

5.  3ply  8/3 5/1  eq: 0.139 (0.140) 
 Player: Opponent:  43.72% (G:10.43% B:0.21%) 56.28% (G:10.88% B:0.49%)  



11: 7/6(2) 7/5 

XGID=AbBBCBbCbcbBbb:0:0:1:11:8:6:0:11:3 
Pip=142118 



1.  4ply  7/6(2) 7/5  eq: 0.180 
 Player: Opponent:  46.01% (G:9.19% B:0.28%) 53.99% (G:10.31% B:0.16%)  

2.  4ply  8/6(2)  eq: 0.214 (0.034) 
 Player: Opponent:  44.67% (G:8.85% B:0.28%) 55.33% (G:9.74% B:0.14%)  

3.  4ply  8/7 8/5  eq: 0.224 (0.043) 
 Player: Opponent:  44.36% (G:8.50% B:0.26%) 55.64% (G:9.47% B:0.13%)  

4.  3ply  7/6(3) 2/1  eq: 0.311 (0.131) 
 Player: Opponent:  42.24% (G:8.98% B:0.23%) 57.76% (G:11.00% B:0.21%)  

5.  3ply  8/7 8/6 2/1  eq: 0.328 (0.148) 
 Player: Opponent:  41.19% (G:8.48% B:0.23%) 58.81% (G:9.92% B:0.16%)  



No double 

XGID=AbCDBbCbcbBbb:0:0:1:00:8:6:0:11:3 
Pip=138118 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.99% (G:10.31% B:0.16%) 
54.36% (G:9.90% B:0.15%) 
Opponent Winning Chances: 
46.01% (G:9.19% B:0.28%) 
45.64% (G:9.53% B:0.30%) 
Cubeless Equities 
+0.057 
+0.136 
Cubeful Equities 
No double:  +0.180  
Double/Take:  0.016 (0.196)  
Double/Pass:  +1.000 (+0.820) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.2% 


64: 21/11 

XGID=AbCDBbCbcbBbb:0:0:1:64:8:6:0:11:3 
Pip=138118 



1.  3ply  21/11  eq: +0.266 
 Player: Opponent:  56.81% (G:12.09% B:0.17%) 43.19% (G:10.19% B:0.30%)  

2.  3ply  13/3  eq: +0.075 (0.192) 
 Player: Opponent:  50.28% (G:10.90% B:0.17%) 49.72% (G:9.67% B:0.34%)  

3.  3ply  13/9 13/7  eq: +0.044 (0.222) 
 Player: Opponent:  48.99% (G:11.95% B:0.22%) 51.01% (G:10.53% B:0.35%)  

4.  2ply  21/15 6/2  eq: 0.047 (0.313) 
 Player: Opponent:  47.39% (G:12.26% B:0.26%) 52.61% (G:16.81% B:0.59%)  

5.  2ply  13/7 6/2  eq: 0.163 (0.429) 
 Player: Opponent:  43.63% (G:9.46% B:0.17%) 56.37% (G:12.04% B:0.40%)  



65: 8/3 8/2 

XGID=AaCDBbCabcbBbb:0:0:1:65:8:6:0:11:3 
Pip=138108 



1.  XG Roller+  13/2  eq: 0.331 
 Player: Opponent:  39.84% (G:7.80% B:0.24%) 60.16% (G:8.58% B:0.19%)  

2.  XG Roller+  8/3 8/2  eq: 0.435 (0.104) 
 Player: Opponent:  36.06% (G:6.53% B:0.14%) 63.94% (G:6.94% B:0.15%)  

3.  2ply  13/7 6/1  eq: 0.770 (0.439) 
 Player: Opponent:  30.64% (G:4.94% B:0.15%) 69.36% (G:12.38% B:0.15%)  

4.  2ply  8/2 6/1  eq: 0.782 (0.451) 
 Player: Opponent:  30.44% (G:5.08% B:0.13%) 69.56% (G:12.51% B:0.14%)  

5.  1ply  13/7 8/3  eq: 0.969 (0.638) 
 Player: Opponent:  29.90% (G:4.81% B:0.18%) 70.10% (G:17.96% B:0.55%)  



No double 

XGID=BAaCDbCabcbBbb:0:0:1:00:8:6:0:11:3 
Pip=127108 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.41% (G:9.18% B:0.17%) 
64.47% (G:6.67% B:0.08%) 
Opponent Winning Chances: 
36.59% (G:6.95% B:0.16%) 
35.53% (G:5.98% B:0.12%) 
Cubeless Equities 
+0.264 
+0.506 
Cubeful Equities 
No double:  +0.462  
Double/Take:  +0.379 (0.083)  
Double/Pass:  +1.000 (+0.538) 

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


66: 21/3 11/5 

XGID=BAaCDbCabcbBbb:0:0:1:66:8:6:0:11:3 
Pip=127108 



1.  4ply  21/3 11/5  eq: +0.816 
 Player: Opponent:  73.83% (G:6.46% B:0.11%) 26.17% (G:2.54% B:0.05%)  

2.  4ply  21/9 13/7(2)  eq: +0.802 (0.014) 
 Player: Opponent:  74.65% (G:11.59% B:0.31%) 25.35% (G:4.34% B:0.14%)  

3.  4ply  21/15 13/7(2) 11/5  eq: +0.801 (0.014) 
 Player: Opponent:  73.10% (G:9.57% B:0.16%) 26.90% (G:2.50% B:0.06%)  

4.  2ply  21/3 8/2  eq: +0.417 (0.398) 
 Player: Opponent:  60.07% (G:14.20% B:0.35%) 39.93% (G:10.86% B:0.42%)  

5.  2ply  21/3 13/7  eq: +0.356 (0.460) 
 Player: Opponent:  57.44% (G:14.51% B:0.36%) 42.56% (G:14.63% B:0.97%)  



44: 13/1 5/1 

XGID=BACDbCbccBabb:0:0:1:44:8:6:0:11:3 
Pip=12784 



1.  4ply  13/1 5/1  eq: 0.922 
 Player: Opponent:  23.47% (G:1.49% B:0.02%) 76.53% (G:5.58% B:0.05%)  

2.  4ply  13/1 6/2  eq: 1.000 (0.078) 
 Player: Opponent:  21.32% (G:1.36% B:0.02%) 78.68% (G:6.73% B:0.09%)  

3.  4ply  13/9(2) 13/5  eq: 1.000 (0.078) 
 Player: Opponent:  19.55% (G:1.20% B:0.04%) 80.45% (G:4.18% B:0.05%)  

4.  4ply  13/9(3) 6/2  eq: 1.000 (0.078) 
 Player: Opponent:  19.14% (G:1.10% B:0.03%) 80.86% (G:4.66% B:0.05%)  

5.  4ply  13/9 6/2 5/1(2)  eq: 1.000 (0.078) 
 Player: Opponent:  18.88% (G:1.21% B:0.02%) 81.12% (G:6.99% B:0.11%)  



Double/Pass 

XGID=BBABDbBbccBabb:0:0:1:00:8:6:0:11:3 
Pip=11184 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
75.83% (G:6.41% B:0.11%) 
76.66% (G:5.81% B:0.12%) 
Opponent Winning Chances: 
24.17% (G:1.63% B:0.04%) 
23.34% (G:1.59% B:0.04%) 
Cubeless Equities 
+0.552 
+1.047 
Cubeful Equities 
No double:  +0.839 (0.105)  
Double/Take:  +0.944  
Double/Pass:  +1.000 (+0.056) 

Best Cube action: Double / Take 


Wins 1pt. 



