53: 8/3 6/3 


1.  Book^{1}  8/3 6/3  eq: 0.196 
 Player: Opponent:  51.55% (G:15.98% B:0.78%) 48.45% (G:13.20% B:0.56%)  

2.  Book^{1}  24/21 13/8  eq: 0.231 (0.035) 
 Player: Opponent:  50.80% (G:13.95% B:0.74%) 49.20% (G:13.40% B:0.49%)  

3.  Book^{2}  24/16  eq: 0.265 (0.069) 
 Player: Opponent:  50.08% (G:12.65% B:1.29%) 49.92% (G:14.23% B:0.46%)  Conf.: ± 0.002 (0.267...0.263) 

4.  Book^{1}  13/10 13/8  eq: 0.274 (0.077) 
 Player: Opponent:  49.79% (G:14.46% B:0.82%) 50.21% (G:13.59% B:0.66%)  

5.  3ply  13/8 6/3  eq: 0.274 (0.078) 
 Player: Opponent:  47.97% (G:12.93% B:0.61%) 52.03% (G:14.23% B:0.72%)  


^{1} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++
^{2} Generated by Steven Carey on 02/08/2012 using eXtreme Gammon 2.10 46656 Games rolled with Variance Reduction. Dice Seed: 69502489 Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
48.44% (G:12.64% B:0.57%) 
48.37% (G:12.98% B:0.58%) 
Opponent Winning Chances: 
51.56% (G:15.49% B:0.71%) 
51.63% (G:15.72% B:0.83%) 
Cubeless Equities 
0.053 
+0.054 
Cubeful Equities 
No double:  +0.134  
Double/Take:  +0.054 (0.080)  
Double/Pass:  +1.000 (+0.866) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.8% 


65: 24/13 


1.  XG Roller++  24/13  eq: +0.076 
 Player: Opponent:  47.47% (G:9.90% B:0.35%) 52.53% (G:15.10% B:0.48%)  

2.  XG Roller++  24/18 13/8  eq: +0.042 (0.034) 
 Player: Opponent:  45.90% (G:11.25% B:0.54%) 54.10% (G:17.96% B:0.72%)  

3.  3ply  13/8 13/7  eq: 0.016 (0.092) 
 Player: Opponent:  43.84% (G:11.69% B:0.53%) 56.16% (G:17.37% B:1.13%)  

4.  3ply  13/2  eq: 0.072 (0.148) 
 Player: Opponent:  42.25% (G:11.20% B:0.53%) 57.75% (G:18.85% B:1.26%)  

5.  2ply  24/18 8/3  eq: 0.139 (0.215) 
 Player: Opponent:  41.33% (G:9.77% B:0.45%) 58.67% (G:23.19% B:1.22%)  



43: 24/21 13/9 


1.  Rollout^{1}  24/21 13/9  eq: 0.154 
 Player: Opponent:  50.17% (G:15.30% B:1.48%) 49.83% (G:10.78% B:0.43%)  Conf.: ± 0.010 (0.165...0.144)  [77.1%] Duration: 20 minutes 37 seconds 

2.  Rollout^{1}  24/20 13/10  eq: 0.160 (0.006) 
 Player: Opponent:  50.54% (G:14.99% B:1.46%) 49.46% (G:11.24% B:0.46%)  Conf.: ± 0.011 (0.171...0.149)  [22.9%] Duration: 20 minutes 26 seconds 

3.  XG Roller++  24/21 24/20  eq: 0.168 (0.014) 
 Player: Opponent:  49.99% (G:13.00% B:0.51%) 50.01% (G:10.61% B:0.36%)  

4.  4ply  13/10 13/9  eq: 0.188 (0.034) 
 Player: Opponent:  48.86% (G:15.66% B:0.44%) 51.14% (G:11.16% B:0.60%)  

5.  3ply  13/6  eq: 0.219 (0.064) 
 Player: Opponent:  48.07% (G:14.07% B:0.37%) 51.93% (G:11.23% B:0.49%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.13% (G:10.09% B:0.41%) 
50.13% (G:10.07% B:0.40%) 
Opponent Winning Chances: 
49.87% (G:14.45% B:0.41%) 
49.87% (G:14.36% B:0.42%) 
Cubeless Equities 
0.029 
+0.069 
Cubeful Equities 
No double:  +0.147  
Double/Take:  +0.064 (0.083)  
Double/Pass:  +1.000 (+0.853) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.1% 


65: 24/13 


1.  3ply  24/13  eq: +0.153 
 Player: Opponent:  52.23% (G:6.22% B:0.18%) 47.77% (G:11.46% B:0.17%)  

2.  2ply  24/18 13/8  eq: 0.054 (0.207) 
 Player: Opponent:  44.87% (G:7.51% B:0.28%) 55.13% (G:17.68% B:0.35%)  

3.  2ply  13/2  eq: 0.123 (0.276) 
 Player: Opponent:  41.94% (G:8.54% B:0.30%) 58.06% (G:18.82% B:0.66%)  

4.  2ply  13/7 6/1*  eq: 0.126 (0.279) 
 Player: Opponent:  41.65% (G:9.13% B:0.31%) 58.35% (G:19.53% B:0.99%)  

5.  2ply  13/8 13/7  eq: 0.131 (0.284) 
 Player: Opponent:  41.09% (G:9.22% B:0.32%) 58.91% (G:17.88% B:0.78%)  



66: 21/9 13/7(2) 


1.  XG Roller++  21/9 13/7(2)  eq: +0.233 
 Player: Opponent:  60.30% (G:10.48% B:0.18%) 39.70% (G:3.42% B:0.10%)  

2.  XG Roller++  21/9 8/2(2)  eq: +0.208 (0.024) 
 Player: Opponent:  59.50% (G:11.21% B:0.14%) 40.50% (G:3.69% B:0.11%)  

3.  4ply  13/7(2) 8/2(2)  eq: +0.139 (0.094) 
 Player: Opponent:  56.90% (G:15.09% B:0.12%) 43.10% (G:4.61% B:0.16%)  

4.  3ply  21/3 13/7  eq: +0.144 (0.088) 
 Player: Opponent:  57.75% (G:9.17% B:0.13%) 42.25% (G:3.85% B:0.10%)  

5.  3ply  24/18 21/9 13/7  eq: +0.131 (0.101) 
 Player: Opponent:  57.52% (G:5.08% B:0.11%) 42.48% (G:2.99% B:0.06%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
39.79% (G:3.13% B:0.08%) 
39.85% (G:3.19% B:0.08%) 
Opponent Winning Chances: 
60.21% (G:10.00% B:0.16%) 
60.15% (G:10.29% B:0.16%) 
Cubeless Equities 
0.255 
0.384 
Cubeful Equities 
No double:  0.235  
Double/Take:  0.430 (0.195)  
Double/Pass:  +1.000 (+1.235) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.0% 


64: 8/2 6/2 


1.  3ply  8/2 6/2  eq: 0.251 
 Player: Opponent:  39.13% (G:3.25% B:0.08%) 60.87% (G:11.04% B:0.11%)  

2.  3ply  13/9 13/7  eq: 0.439 (0.188) 
 Player: Opponent:  33.68% (G:3.36% B:0.10%) 66.32% (G:17.75% B:0.33%)  

3.  2ply  13/3  eq: 0.439 (0.188) 
 Player: Opponent:  33.18% (G:2.62% B:0.05%) 66.82% (G:14.57% B:0.16%)  

4.  2ply  13/9 8/2  eq: 0.526 (0.275) 
 Player: Opponent:  30.61% (G:2.71% B:0.06%) 69.39% (G:18.79% B:0.29%)  

5.  2ply  13/7 6/2  eq: 0.596 (0.345) 
 Player: Opponent:  28.47% (G:2.87% B:0.06%) 71.53% (G:21.99% B:0.32%)  



41: 9/5 6/5 


1.  4ply  9/5 6/5  eq: +0.206 
 Player: Opponent:  59.14% (G:11.04% B:0.14%) 40.86% (G:2.99% B:0.06%)  

2.  4ply  24/20 6/5  eq: +0.137 (0.069) 
 Player: Opponent:  57.62% (G:7.88% B:0.15%) 42.38% (G:3.72% B:0.09%)  

3.  3ply  24/20 9/8  eq: +0.109 (0.097) 
 Player: Opponent:  57.01% (G:9.64% B:0.16%) 42.99% (G:4.81% B:0.08%)  

4.  3ply  9/8 9/5  eq: +0.104 (0.102) 
 Player: Opponent:  56.34% (G:9.45% B:0.14%) 43.66% (G:4.02% B:0.08%)  

5.  3ply  9/4  eq: +0.098 (0.108) 
 Player: Opponent:  56.12% (G:10.36% B:0.15%) 43.88% (G:4.29% B:0.11%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
40.86% (G:2.99% B:0.06%) 
40.90% (G:3.03% B:0.06%) 
Opponent Winning Chances: 
59.14% (G:11.04% B:0.14%) 
59.10% (G:11.41% B:0.15%) 
Cubeless Equities 
0.242 
0.361 
Cubeful Equities 
No double:  0.206  
Double/Take:  0.403 (0.197)  
Double/Pass:  +1.000 (+1.206) 

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


32: 13/8 


1.  Rollout^{1}  13/11 13/10  eq: 0.242 
 Player: Opponent:  38.85% (G:3.86% B:0.08%) 61.15% (G:14.13% B:0.32%)  Conf.: ± 0.007 (0.249...0.235)  [100.0%] Duration: 11 minutes 55 seconds 

2.  Rollout^{1}  13/8  eq: 0.261 (0.020) 
 Player: Opponent:  38.26% (G:2.36% B:0.04%) 61.74% (G:7.59% B:0.31%)  Conf.: ± 0.006 (0.268...0.255)  [0.0%] Duration: 11 minutes 23 seconds 

3.  2ply  13/10 8/6  eq: 0.515 (0.273) 
 Player: Opponent:  30.96% (G:2.69% B:0.05%) 69.04% (G:18.27% B:0.23%)  

4.  2ply  13/11 6/3  eq: 0.539 (0.298) 
 Player: Opponent:  30.82% (G:2.32% B:0.05%) 69.18% (G:21.20% B:0.27%)  

5.  2ply  13/10 6/4  eq: 0.558 (0.316) 
 Player: Opponent:  30.36% (G:2.40% B:0.06%) 69.64% (G:23.32% B:0.33%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



65: 24/13 


1.  XG Roller++  24/13  eq: +0.653 
 Player: Opponent:  74.40% (G:0.04% B:0.00%) 25.60% (G:0.00% B:0.00%)  

2.  XG Roller++  8/2 7/2  eq: +0.284 (0.369) 
 Player: Opponent:  61.99% (G:9.59% B:0.09%) 38.01% (G:2.39% B:0.06%)  

3.  1ply  9/4 8/2  eq: +0.243 (0.410) 
 Player: Opponent:  60.60% (G:10.77% B:0.07%) 39.40% (G:3.09% B:0.09%)  

4.  1ply  7/1 6/1  eq: +0.225 (0.428) 
 Player: Opponent:  59.95% (G:9.74% B:0.06%) 40.05% (G:2.79% B:0.07%)  

5.  1ply  24/18 9/4  eq: +0.216 (0.438) 
 Player: Opponent:  60.10% (G:5.36% B:0.07%) 39.90% (G:2.30% B:0.04%)  



21: 13/11 6/5 


1.  Rollout^{1}  13/11 6/5  eq: 0.907 
 Player: Opponent:  18.58% (G:0.00% B:0.00%) 81.42% (G:0.07% B:0.00%)  Conf.: ± 0.004 (0.912...0.903)  [63.4%] Duration: 2 minutes 43 seconds 

2.  Rollout^{1}  13/11 2/1  eq: 0.908 (0.001) 
 Player: Opponent:  18.56% (G:0.00% B:0.00%) 81.44% (G:0.05% B:0.00%)  Conf.: ± 0.004 (0.912...0.904)  [36.6%] Duration: 2 minutes 46 seconds 

3.  XG Roller++  8/5  eq: 0.904 (+0.003) 
 Player: Opponent:  18.50% (G:0.00% B:0.00%) 81.50% (G:0.09% B:0.00%)  

4.  XG Roller++  13/10  eq: 0.904 (+0.003) 
 Player: Opponent:  18.49% (G:0.00% B:0.00%) 81.51% (G:0.08% B:0.00%)  

5.  XG Roller++  13/11 8/7  eq: 0.905 (+0.003) 
 Player: Opponent:  18.48% (G:0.00% B:0.00%) 81.52% (G:0.08% B:0.00%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
81.45% (G:0.07% B:0.00%) 
81.43% (G:0.06% B:0.00%) 
Opponent Winning Chances: 
18.55% (G:0.00% B:0.00%) 
18.57% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.630 
+1.086 
Cubeful Equities 
No double:  +0.856 (0.048)  ±0.004 (+0.852..+0.860) 
Double/Take:  +0.904  ±0.005 (+0.899..+0.908) 
Double/Pass:  +1.000 (+0.096) 

Best Cube action: Double / Take 
Rollout details 
1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 4 minutes 47 seconds 


22: 13/11(3) 8/6 


1.  XG Roller++  13/11 8/6 7/5(2)  eq: +0.902 
 Player: Opponent:  81.76% (G:0.08% B:0.00%) 18.24% (G:0.00% B:0.00%)  

2.  XG Roller++  13/11(3) 8/6  eq: +0.902 (0.001) 
 Player: Opponent:  81.73% (G:0.05% B:0.00%) 18.27% (G:0.00% B:0.00%)  

3.  XG Roller++  13/11(3) 7/5  eq: +0.902 (0.001) 
 Player: Opponent:  81.78% (G:0.06% B:0.00%) 18.22% (G:0.00% B:0.00%)  

4.  XG Roller++  13/11(2) 13/9  eq: +0.901 (0.001) 
 Player: Opponent:  81.73% (G:0.06% B:0.00%) 18.27% (G:0.00% B:0.00%)  

5.  XG Roller++  13/11(2) 8/6 3/1  eq: +0.478 (0.424) 
 Player: Opponent:  68.38% (G:4.35% B:0.14%) 31.62% (G:2.72% B:0.12%)  



51: 13/7 


1.  Rollout^{1}  13/12 8/3  eq: 1.000 
 Player: Opponent:  15.22% (G:0.00% B:0.00%) 84.78% (G:0.10% B:0.00%)  Conf.: ± 0.000 (1.000...1.000)  [50.0%] Duration: 7 minutes 26 seconds 

2.  Rollout^{1}  13/7  eq: 1.000 
 Player: Opponent:  15.16% (G:0.00% B:0.00%) 84.84% (G:0.07% B:0.00%)  Conf.: ± 0.000 (1.000...1.000)  [50.0%] Duration: 7 minutes 04 seconds 

3.  XG Roller++  13/12 13/8  eq: 1.000 
 Player: Opponent:  15.23% (G:0.00% B:0.00%) 84.77% (G:0.07% B:0.00%)  

4.  XG Roller++  13/12 11/6  eq: 1.000 
 Player: Opponent:  15.21% (G:0.00% B:0.00%) 84.79% (G:0.07% B:0.00%)  

5.  XG Roller++  13/8 2/1  eq: 1.000 
 Player: Opponent:  15.16% (G:0.00% B:0.00%) 84.84% (G:0.07% B:0.00%)  


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
84.83% (G:0.08% B:0.00%) 
84.79% (G:0.07% B:0.00%) 
Opponent Winning Chances: 
15.17% (G:0.00% B:0.00%) 
15.21% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.697 
+1.203 
Cubeful Equities 
No double:  +0.927 (0.073)  
Double/Take:  +1.055 (+0.055)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



