52: 24/22 13/8 

XGID=bECeEceB:0:0:1:52:9:6:0:11:3 
Pip=167167 



1.  Book^{1}  24/22 13/8  eq: 0.128 
 Player: Opponent:  49.89% (G:15.71% B:2.25%) 50.11% (G:13.60% B:0.44%)  Conf.: ± 0.010 (0.138...0.118)  [100.0%] 

2.  Book^{1}  13/11 13/8  eq: 0.163 (0.035) 
 Player: Opponent:  49.56% (G:16.75% B:2.59%) 50.44% (G:14.66% B:0.61%)  Conf.: ± 0.011 (0.174...0.152)  [0.0%] 

3.  Book^{2}  13/8 6/4  eq: 0.183 (0.054) 
 Player: Opponent:  48.53% (G:16.89% B:1.89%) 51.47% (G:13.97% B:0.62%)  Conf.: ± 0.007 (0.189...0.176)  [0.0%] 

4.  Book^{3}  13/6  eq: 0.246 (0.118) 
 Player: Opponent:  47.76% (G:14.05% B:0.74%) 52.24% (G:15.25% B:0.66%)  

5.  3ply  13/11 8/3  eq: 0.285 (0.156) 
 Player: Opponent:  46.48% (G:13.04% B:0.67%) 53.52% (G:15.85% B:1.01%)  


^{1} Generated by Stick Rice on 1/13/2011 using eXtreme Gammon 1.21 5184 Games rolled with Variance Reduction. Dice Seed: 21140344 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++



No double 

XGID=bEDeDceAA:0:0:1:00:9:6:0:11:3 
Pip=160167 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
49.86% (G:12.76% B:0.45%) 
49.77% (G:13.22% B:0.46%) 
Opponent Winning Chances: 
50.14% (G:13.07% B:0.54%) 
50.23% (G:13.50% B:0.67%) 
Cubeless Equities 
0.134 
0.085 
Cubeful Equities 
No double:  +0.096  
Double/Take:  0.085 (0.181)  
Double/Pass:  +1.000 (+0.904) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.3% 


61: 13/7 8/7 

XGID=bEDeDceAA:0:0:1:61:9:6:0:11:3 
Pip=160167 



1.  3ply  13/7 8/7  eq: +0.080 
 Player: Opponent:  49.65% (G:12.57% B:0.43%) 50.35% (G:12.90% B:0.58%)  

2.  3ply  13/6  eq: 0.096 (0.176) 
 Player: Opponent:  45.10% (G:11.06% B:0.35%) 54.90% (G:14.75% B:0.67%)  

3.  3ply  24/23 24/18  eq: 0.102 (0.182) 
 Player: Opponent:  45.88% (G:9.77% B:0.37%) 54.12% (G:16.02% B:0.46%)  

4.  3ply  13/7 6/5  eq: 0.134 (0.214) 
 Player: Opponent:  44.40% (G:10.78% B:0.42%) 55.60% (G:17.20% B:1.23%)  

5.  3ply  24/23 13/7  eq: 0.137 (0.218) 
 Player: Opponent:  44.12% (G:10.73% B:0.36%) 55.88% (G:15.84% B:0.74%)  



62: 24/16 

XGID=bEDdDbbeAA:0:0:1:62:9:6:0:11:3 
Pip=160160 



1.  4ply  24/16  eq: 0.217 
 Player: Opponent:  48.25% (G:10.78% B:0.46%) 51.75% (G:15.10% B:0.48%)  

2.  4ply  24/22 13/7  eq: 0.232 (0.016) 
 Player: Opponent:  45.44% (G:11.68% B:0.41%) 54.56% (G:12.13% B:0.41%)  

3.  4ply  22/16 13/11  eq: 0.244 (0.027) 
 Player: Opponent:  47.62% (G:11.41% B:0.51%) 52.38% (G:15.64% B:0.61%)  

4.  4ply  22/14  eq: 0.252 (0.035) 
 Player: Opponent:  46.81% (G:10.50% B:0.42%) 53.19% (G:14.81% B:0.52%)  

5.  4ply  24/22 8/2  eq: 0.280 (0.063) 
 Player: Opponent:  44.29% (G:10.85% B:0.34%) 55.71% (G:12.47% B:0.43%)  



No double 

XGID=bEDdDAbbeA:0:0:1:00:9:6:0:11:3 
Pip=152160 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.75% (G:15.10% B:0.48%) 
51.70% (G:15.79% B:0.50%) 
Opponent Winning Chances: 
48.25% (G:10.78% B:0.46%) 
48.30% (G:11.34% B:0.52%) 
Cubeless Equities 
0.036 
+0.088 
Cubeful Equities 
No double:  +0.217  
Double/Take:  +0.088 (0.128)  
Double/Pass:  +1.000 (+0.783) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.3% 


53: 8/3* 6/3 

XGID=bEDdDAbbeA:0:0:1:53:9:6:0:11:3 
Pip=152160 



1.  3ply  8/3* 6/3  eq: +0.316 
 Player: Opponent:  52.43% (G:18.46% B:0.54%) 47.57% (G:10.32% B:0.48%)  

2.  3ply  13/8 6/3*  eq: +0.103 (0.213) 
 Player: Opponent:  48.96% (G:14.49% B:0.50%) 51.04% (G:12.26% B:0.61%)  

3.  2ply  24/21 13/8  eq: +0.022 (0.294) 
 Player: Opponent:  47.65% (G:12.15% B:0.42%) 52.35% (G:11.29% B:0.43%)  

4.  2ply  13/10 13/8  eq: 0.056 (0.372) 
 Player: Opponent:  45.31% (G:12.36% B:0.42%) 54.69% (G:13.06% B:0.72%)  

5.  2ply  13/5  eq: 0.056 (0.372) 
 Player: Opponent:  45.36% (G:12.17% B:0.41%) 54.64% (G:12.86% B:0.76%)  



65: Bar/20 16/10 

XGID=bEDdDAabdbA:0:0:1:65:9:6:0:11:3 
Pip=155152 



1.  4ply  Bar/14  eq: 0.334 
 Player: Opponent:  46.28% (G:8.37% B:0.37%) 53.72% (G:18.11% B:0.51%)  

2.  4ply  Bar/20 16/10  eq: 0.344 (0.010) 
 Player: Opponent:  46.46% (G:10.06% B:0.50%) 53.54% (G:18.95% B:0.56%)  

3.  1ply  Bar/20 13/7  eq: 0.794 (0.460) 
 Player: Opponent:  40.73% (G:10.23% B:0.55%) 59.27% (G:25.73% B:1.51%)  

4.  1ply  Bar/20 8/2  eq: 0.832 (0.497) 
 Player: Opponent:  39.65% (G:9.54% B:0.50%) 60.35% (G:25.52% B:1.35%)  



No double 

XGID=bEDAdDabdAb:0:0:1:00:9:6:0:11:3 
Pip=144152 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.54% (G:18.95% B:0.56%) 
53.55% (G:19.04% B:0.54%) 
Opponent Winning Chances: 
46.46% (G:10.06% B:0.50%) 
46.45% (G:10.47% B:0.57%) 
Cubeless Equities 
+0.045 
+0.280 
Cubeful Equities 
No double:  +0.344  
Double/Take:  +0.280 (0.065)  
Double/Pass:  +1.000 (+0.656) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.3% 


43: 24/20 8/5* 

XGID=bEDAdDabdAb:0:0:1:43:9:6:0:11:3 
Pip=144152 



1.  4ply  13/9 8/5*  eq: +0.239 
 Player: Opponent:  50.20% (G:18.13% B:0.51%) 49.80% (G:11.95% B:0.75%)  

2.  4ply  24/20 8/5*  eq: +0.220 (0.020) 
 Player: Opponent:  50.94% (G:16.61% B:0.45%) 49.06% (G:10.94% B:0.47%)  

3.  3ply  8/5* 5/1  eq: +0.019 (0.220) 
 Player: Opponent:  46.13% (G:14.60% B:0.37%) 53.87% (G:12.23% B:0.65%)  

4.  3ply  8/5* 6/2  eq: 0.006 (0.245) 
 Player: Opponent:  45.12% (G:14.63% B:0.49%) 54.88% (G:14.57% B:1.00%)  

5.  2ply  8/5* 7/3  eq: 0.072 (0.311) 
 Player: Opponent:  43.68% (G:14.10% B:0.45%) 56.32% (G:14.33% B:0.98%)  



65: Bar/20* 20/14 

XGID=aaEDAdDbdabA:0:0:1:65:9:6:0:11:3 
Pip=149145 



1.  3ply  Bar/20* 20/14  eq: +0.070 
 Player: Opponent:  55.64% (G:11.46% B:0.47%) 44.36% (G:12.19% B:0.36%)  

2.  3ply  Bar/20* 10/4  eq: 0.126 (0.197) 
 Player: Opponent:  50.63% (G:11.60% B:0.47%) 49.37% (G:14.22% B:0.47%)  

3.  3ply  Bar/20* 13/7  eq: 0.171 (0.242) 
 Player: Opponent:  49.21% (G:12.03% B:0.50%) 50.79% (G:14.45% B:0.68%)  

4.  2ply  Bar/20* 8/2  eq: 0.227 (0.297) 
 Player: Opponent:  47.87% (G:10.63% B:0.37%) 52.13% (G:15.84% B:0.69%)  



63: Bar/22 13/7 

XGID=aaaEDAdDAbdb:0:0:1:63:9:6:0:11:3 
Pip=138165 



1.  4ply  Bar/22 13/7  eq: 0.426 
 Player: Opponent:  35.86% (G:8.20% B:0.23%) 64.14% (G:14.64% B:0.61%)  

2.  4ply  Bar/16  eq: 0.470 (0.044) 
 Player: Opponent:  34.99% (G:7.58% B:0.21%) 65.01% (G:15.79% B:0.64%)  

3.  4ply  Bar/22 20/14  eq: 0.512 (0.086) 
 Player: Opponent:  33.82% (G:6.82% B:0.18%) 66.18% (G:14.20% B:0.50%)  

4.  3ply  Bar/22 24/18  eq: 0.553 (0.127) 
 Player: Opponent:  33.55% (G:6.55% B:0.31%) 66.45% (G:16.35% B:0.60%)  

5.  3ply  Bar/22 7/1  eq: 0.599 (0.173) 
 Player: Opponent:  31.85% (G:7.10% B:0.24%) 68.15% (G:17.32% B:0.99%)  



44: 13/5*(2) 

XGID=aaaEDAcDAcdb:0:0:1:44:9:6:0:11:3 
Pip=138156 



1.  4ply  13/5*(2)  eq: +0.655 
 Player: Opponent:  68.72% (G:20.07% B:1.05%) 31.28% (G:6.29% B:0.25%)  

2.  4ply  14/10 13/9(2) 6/2  eq: +0.527 (0.129) 
 Player: Opponent:  66.20% (G:11.46% B:0.41%) 33.80% (G:6.84% B:0.19%)  

3.  4ply  14/10 13/9(3)  eq: +0.522 (0.133) 
 Player: Opponent:  65.65% (G:12.25% B:0.55%) 34.35% (G:6.57% B:0.17%)  

4.  3ply  14/10 8/4(2) 6/2  eq: +0.503 (0.152) 
 Player: Opponent:  66.13% (G:12.17% B:0.44%) 33.87% (G:6.53% B:0.15%)  

5.  3ply  14/10 13/5* 5/1*  eq: +0.475 (0.180) 
 Player: Opponent:  64.95% (G:15.96% B:0.47%) 35.05% (G:7.40% B:0.17%)  



22: Bar/23 13/11* 6/4(2) 

XGID=aaaBEDAcBAcdb:0:0:1:22:9:6:0:11:3 
Pip=122161 



1.  4ply  Bar/23 13/11* 6/4(2)  eq: +0.153 
 Player: Opponent:  49.67% (G:15.74% B:0.56%) 50.33% (G:16.26% B:0.92%)  

2.  4ply  Bar/23 13/11* 7/5(2)  eq: +0.056 (0.097) 
 Player: Opponent:  46.79% (G:15.95% B:0.50%) 53.21% (G:18.23% B:1.25%)  

3.  2ply  Bar/21 24/22 13/11*  eq: 0.215 (0.367) 
 Player: Opponent:  41.30% (G:11.05% B:0.47%) 58.70% (G:15.73% B:0.59%)  

4.  2ply  Bar/21 13/11* 11/9  eq: 0.270 (0.423) 
 Player: Opponent:  39.94% (G:11.96% B:0.60%) 60.06% (G:21.61% B:1.48%)  

5.  2ply  Bar/23 24/22 13/11*(2)  eq: 0.279 (0.432) 
 Player: Opponent:  39.72% (G:10.50% B:0.46%) 60.28% (G:16.87% B:0.68%)  



31: Bar/24 8/5 

XGID=aaaBEDAbBacbbbA:0:0:1:31:9:6:0:11:3 
Pip=133153 



1.  4ply  Bar/24 8/5  eq: 0.248 
 Player: Opponent:  47.46% (G:14.86% B:0.78%) 52.54% (G:15.71% B:0.66%)  

2.  4ply  Bar/24 6/3*  eq: 0.256 (0.008) 
 Player: Opponent:  49.14% (G:17.77% B:1.36%) 50.86% (G:19.05% B:1.18%)  

3.  4ply  Bar/24 13/10  eq: 0.329 (0.080) 
 Player: Opponent:  45.82% (G:14.72% B:1.07%) 54.18% (G:17.08% B:0.75%)  

4.  2ply  Bar/24 10/7  eq: 0.616 (0.368) 
 Player: Opponent:  40.74% (G:12.16% B:0.63%) 59.26% (G:20.89% B:0.91%)  

5.  1ply  Bar/24 5/2*  eq: 1.000 (0.752) 
 Player: Opponent:  31.73% (G:8.35% B:0.45%) 68.27% (G:33.42% B:3.33%)  



No double 

XGID=aaaCECAbBacbbbA:0:0:1:00:9:6:0:11:3 
Pip=129153 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
52.54% (G:15.71% B:0.66%) 
52.80% (G:15.83% B:0.65%) 
Opponent Winning Chances: 
47.46% (G:14.86% B:0.78%) 
47.20% (G:15.95% B:0.91%) 
Cubeless Equities 
0.088 
+0.147 
Cubeful Equities 
No double:  +0.248  
Double/Take:  +0.147 (0.102)  
Double/Pass:  +1.000 (+0.752) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.7% 


62: 23/15* 

XGID=aaaCECAbBacbbbA:0:0:1:62:9:6:0:11:3 
Pip=129153 



1.  4ply  23/15*  eq: +0.539 
 Player: Opponent:  57.05% (G:20.30% B:1.03%) 42.95% (G:15.39% B:1.03%)  

2.  4ply  11/5 7/5  eq: +0.498 (0.041) 
 Player: Opponent:  59.85% (G:16.12% B:0.75%) 40.15% (G:14.57% B:0.80%)  

3.  1ply  24/22 11/5  eq: 0.077 (0.616) 
 Player: Opponent:  45.92% (G:11.41% B:0.45%) 54.08% (G:17.30% B:0.70%)  

4.  1ply  24/22 7/1*  eq: 0.079 (0.618) 
 Player: Opponent:  44.45% (G:13.98% B:0.46%) 55.55% (G:18.02% B:0.93%)  

5.  1ply  13/11 7/1*  eq: 0.099 (0.638) 
 Player: Opponent:  43.87% (G:15.32% B:0.44%) 56.13% (G:23.01% B:2.07%)  



33: Cannot Move 

XGID=aaCECabBacbbbAA:0:0:1:33:9:6:0:11:3 
Pip=144145 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  35.27% (G:10.86% B:0.74%) 64.73% (G:26.89% B:1.03%)  



Double/Pass 

XGID=aaCECabBacbbbAA:0:0:1:00:9:6:0:11:3 
Pip=144145 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
65.25% (G:25.68% B:1.06%) 
64.73% (G:26.89% B:1.03%) 
Opponent Winning Chances: 
34.75% (G:9.94% B:0.52%) 
35.27% (G:10.86% B:0.74%) 
Cubeless Equities 
+0.341 
+1.066 
Cubeful Equities 
No double:  +0.808 (0.192)  
Double/Take:  +1.066 (+0.066)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



