53: 8/3 6/3 


1.  Book^{1}  8/3 6/3  eq: +0.159 
 Player: Opponent:  51.54% (G:15.84% B:0.74%) 48.46% (G:12.91% B:0.60%)  

2.  Book^{1}  24/21 13/8  eq: +0.095 (0.064) 
 Player: Opponent:  50.67% (G:13.49% B:0.64%) 49.33% (G:12.75% B:0.47%)  

3.  Book^{1}  13/10 13/8  eq: +0.077 (0.082) 
 Player: Opponent:  49.89% (G:14.26% B:0.70%) 50.11% (G:13.55% B:0.66%)  

4.  Book^{1}  24/16  eq: +0.046 (0.113) 
 Player: Opponent:  50.21% (G:11.57% B:0.47%) 49.79% (G:13.06% B:0.47%)  

5.  Book^{1}  13/5  eq: +0.039 (0.120) 
 Player: Opponent:  49.13% (G:13.55% B:0.58%) 50.87% (G:13.23% B:0.67%)  


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



41: 24/23 13/9 


1.  XG Roller+  24/23 13/9  eq: 0.276 
 Player: Opponent:  45.86% (G:12.21% B:0.55%) 54.14% (G:17.60% B:0.82%)  

2.  XG Roller+  24/23 24/20  eq: 0.300 (0.024) 
 Player: Opponent:  45.42% (G:10.92% B:0.51%) 54.58% (G:17.23% B:0.61%)  

3.  XG Roller+  13/8  eq: 0.322 (0.046) 
 Player: Opponent:  44.67% (G:11.96% B:0.51%) 55.33% (G:17.47% B:0.89%)  

4.  3ply  13/9 6/5  eq: 0.325 (0.049) 
 Player: Opponent:  45.23% (G:11.46% B:0.48%) 54.77% (G:18.44% B:1.53%)  

5.  3ply  24/20 6/5  eq: 0.348 (0.072) 
 Player: Opponent:  44.91% (G:10.76% B:0.52%) 55.09% (G:19.14% B:1.06%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
54.23% (G:17.76% B:0.89%) 
54.26% (G:17.67% B:0.87%) 
Opponent Winning Chances: 
45.77% (G:11.95% B:0.55%) 
45.74% (G:11.91% B:0.54%) 
Cubeless Equities 
+0.127 
+0.278 
Cubeful Equities 
No double:  +0.280  
Double/Take:  +0.127 (0.152)  
Double/Pass:  +1.000 (+0.720) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.9% 


65: 24/13 


1.  XG Roller++  24/18 13/8  eq: +0.191 
 Player: Opponent:  53.18% (G:14.06% B:0.58%) 46.82% (G:12.05% B:0.42%)  

2.  XG Roller++  24/13  eq: +0.186 (0.005) 
 Player: Opponent:  53.80% (G:12.48% B:0.49%) 46.20% (G:11.76% B:0.36%)  

3.  3ply  13/2*  eq: +0.149 (0.042) 
 Player: Opponent:  50.85% (G:17.11% B:0.89%) 49.15% (G:13.41% B:0.77%)  

4.  3ply  13/8 13/7  eq: +0.066 (0.125) 
 Player: Opponent:  49.11% (G:15.58% B:0.70%) 50.89% (G:13.44% B:0.76%)  

5.  3ply  24/18 6/1*  eq: +0.053 (0.138) 
 Player: Opponent:  49.62% (G:14.43% B:0.63%) 50.38% (G:14.51% B:0.70%)  



54: 23/18 13/9 


1.  Rollout^{1}  9/4 8/4  eq: 0.207 
 Player: Opponent:  45.68% (G:13.63% B:0.64%) 54.32% (G:14.23% B:0.61%)  Conf.: ± 0.017 (0.224...0.189)  [100.0%] Duration: 6 minutes 25 seconds 

2.  Rollout^{1}  23/18 13/9  eq: 0.303 (0.096) 
 Player: Opponent:  44.87% (G:10.76% B:0.51%) 55.13% (G:17.23% B:0.58%)  Conf.: ± 0.017 (0.321...0.286)  [0.0%] Duration: 6 minutes 41 seconds 

3.  3ply  13/9 13/8  eq: 0.265 (0.058) 
 Player: Opponent:  44.93% (G:11.28% B:0.37%) 55.07% (G:14.96% B:0.54%)  

4.  3ply  13/9 6/1*  eq: 0.318 (0.111) 
 Player: Opponent:  43.53% (G:11.21% B:0.31%) 56.47% (G:15.26% B:0.73%)  

5.  2ply  24/20 13/8  eq: 0.394 (0.187) 
 Player: Opponent:  41.57% (G:9.28% B:0.34%) 58.43% (G:16.13% B:0.71%)  


^{1} 681 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
54.84% (G:16.33% B:0.49%) 
54.98% (G:16.43% B:0.50%) 
Opponent Winning Chances: 
45.16% (G:10.04% B:0.40%) 
45.02% (G:10.11% B:0.41%) 
Cubeless Equities 
+0.144 
+0.308 
Cubeful Equities 
No double:  +0.290  
Double/Take:  +0.147 (0.143)  
Double/Pass:  +1.000 (+0.710) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.4% 


32: 13/8 


1.  3ply  13/8  eq: +0.044 
 Player: Opponent:  49.93% (G:10.46% B:0.32%) 50.07% (G:10.05% B:0.28%)  

2.  3ply  6/1*  eq: 0.014 (0.058) 
 Player: Opponent:  47.33% (G:13.57% B:0.39%) 52.67% (G:12.32% B:0.53%)  

3.  3ply  24/21 13/11  eq: 0.066 (0.111) 
 Player: Opponent:  47.43% (G:9.71% B:0.36%) 52.57% (G:12.05% B:0.38%)  

4.  3ply  13/10 6/4  eq: 0.085 (0.129) 
 Player: Opponent:  46.27% (G:11.21% B:0.42%) 53.73% (G:12.75% B:0.60%)  

5.  3ply  24/22 13/10  eq: 0.086 (0.131) 
 Player: Opponent:  46.58% (G:9.74% B:0.34%) 53.42% (G:11.72% B:0.38%)  



51: 24/18 


1.  3ply  24/18  eq: +0.009 
 Player: Opponent:  50.60% (G:8.61% B:0.24%) 49.40% (G:7.12% B:0.13%)  

2.  2ply  24/23 18/13  eq: 0.272 (0.281) 
 Player: Opponent:  44.94% (G:7.92% B:0.24%) 55.06% (G:14.05% B:0.33%)  

3.  2ply  18/13 6/5  eq: 0.292 (0.301) 
 Player: Opponent:  44.42% (G:9.10% B:0.32%) 55.58% (G:14.94% B:0.54%)  

4.  1ply  18/13 8/7  eq: 0.361 (0.370) 
 Player: Opponent:  42.49% (G:8.72% B:0.27%) 57.51% (G:15.35% B:0.51%)  

5.  1ply  18/13 9/8  eq: 0.393 (0.402) 
 Player: Opponent:  41.38% (G:7.78% B:0.23%) 58.62% (G:14.73% B:0.44%)  



62: 13/5 


1.  3ply  13/5  eq: 0.004 
 Player: Opponent:  49.13% (G:8.04% B:0.19%) 50.87% (G:8.73% B:0.21%)  

2.  3ply  24/18 6/4  eq: 0.105 (0.102) 
 Player: Opponent:  46.85% (G:6.63% B:0.25%) 53.15% (G:9.88% B:0.25%)  

3.  3ply  24/18 8/6  eq: 0.122 (0.118) 
 Player: Opponent:  46.59% (G:6.72% B:0.20%) 53.41% (G:10.61% B:0.23%)  

4.  3ply  24/22 8/2  eq: 0.154 (0.151) 
 Player: Opponent:  45.46% (G:8.27% B:0.20%) 54.54% (G:12.79% B:0.31%)  

5.  3ply  8/2 6/4  eq: 0.158 (0.154) 
 Player: Opponent:  45.13% (G:8.36% B:0.19%) 54.87% (G:12.42% B:0.36%)  



51: 13/8 6/5 


1.  XG Roller+  13/7  eq: 0.238 (+0.005) 
 Player: Opponent:  45.33% (G:7.90% B:0.21%) 54.67% (G:11.59% B:0.30%)  

2.  XG Roller+  13/8 6/5  eq: 0.242 
 Player: Opponent:  45.35% (G:7.81% B:0.24%) 54.65% (G:12.11% B:0.29%)  

3.  3ply  13/8 9/8  eq: 0.282 (0.040) 
 Player: Opponent:  43.02% (G:6.05% B:0.15%) 56.98% (G:9.37% B:0.18%)  

4.  3ply  8/7 6/1*  eq: 0.293 (0.050) 
 Player: Opponent:  44.12% (G:8.59% B:0.25%) 55.88% (G:13.53% B:0.35%)  

5.  3ply  8/2  eq: 0.329 (0.087) 
 Player: Opponent:  42.55% (G:6.90% B:0.20%) 57.45% (G:11.82% B:0.24%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
54.62% (G:11.71% B:0.23%) 
54.67% (G:11.56% B:0.22%) 
Opponent Winning Chances: 
45.38% (G:7.84% B:0.23%) 
45.33% (G:7.78% B:0.23%) 
Cubeless Equities 
+0.118 
+0.224 
Cubeful Equities 
No double:  +0.236  
Double/Take:  +0.043 (0.193)  
Double/Pass:  +1.000 (+0.764) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.8% 


31: 24/20* 


1.  3ply  24/20*  eq: +0.245 
 Player: Opponent:  54.18% (G:14.19% B:0.41%) 45.82% (G:9.58% B:0.30%)  

2.  2ply  8/5 6/5  eq: +0.002 (0.243) 
 Player: Opponent:  48.76% (G:9.52% B:0.16%) 51.24% (G:9.24% B:0.22%)  

3.  2ply  13/10 6/5  eq: 0.010 (0.255) 
 Player: Opponent:  48.35% (G:9.36% B:0.16%) 51.65% (G:8.96% B:0.24%)  

4.  2ply  24/21 6/5  eq: 0.062 (0.307) 
 Player: Opponent:  47.71% (G:7.94% B:0.18%) 52.29% (G:10.20% B:0.23%)  

5.  1ply  24/23 8/5  eq: 0.127 (0.372) 
 Player: Opponent:  45.48% (G:8.21% B:0.20%) 54.52% (G:10.47% B:0.20%)  



51: Bar/20* 6/5* 


1.  3ply  Bar/20* 6/5*  eq: +0.156 
 Player: Opponent:  56.08% (G:13.77% B:0.52%) 43.92% (G:11.67% B:0.34%)  

2.  2ply  Bar/20* 8/7  eq: 0.130 (0.286) 
 Player: Opponent:  48.73% (G:10.16% B:0.31%) 51.27% (G:13.46% B:0.43%)  

3.  1ply  Bar/20* 9/8  eq: 0.207 (0.363) 
 Player: Opponent:  46.68% (G:9.21% B:0.27%) 53.32% (G:13.88% B:0.39%)  

4.  1ply  Bar/24 8/3  eq: 0.456 (0.612) 
 Player: Opponent:  39.71% (G:7.93% B:0.32%) 60.29% (G:15.77% B:0.31%)  

5.  1ply  Bar/24 13/8  eq: 0.628 (0.784) 
 Player: Opponent:  36.46% (G:6.48% B:0.29%) 63.54% (G:18.02% B:0.50%)  



54: Bar/21 Bar/20* 


1.  3ply  Bar/21 Bar/20*  eq: +0.225 
 Player: Opponent:  53.08% (G:16.10% B:0.54%) 46.92% (G:10.00% B:0.29%)  



52: Bar/20 8/6 


1.  XG Roller+  Bar/20 8/6  eq: 0.176 
 Player: Opponent:  46.40% (G:9.59% B:0.32%) 53.60% (G:11.18% B:0.29%)  

2.  XG Roller+  Bar/20 6/4*  eq: 0.195 (0.019) 
 Player: Opponent:  47.15% (G:9.43% B:0.35%) 52.85% (G:13.66% B:0.39%)  

3.  3ply  Bar/18  eq: 0.300 (0.125) 
 Player: Opponent:  44.51% (G:8.19% B:0.34%) 55.49% (G:14.71% B:0.33%)  

4.  3ply  Bar/20 18/16  eq: 0.312 (0.136) 
 Player: Opponent:  44.09% (G:8.48% B:0.34%) 55.91% (G:14.93% B:0.45%)  

5.  3ply  Bar/20 13/11  eq: 0.314 (0.138) 
 Player: Opponent:  43.99% (G:8.79% B:0.33%) 56.01% (G:15.05% B:0.46%)  



64: 8/2 6/2 


1.  Rollout^{1}  20/14 8/4  eq: +0.038 
 Player: Opponent:  50.47% (G:12.11% B:0.39%) 49.53% (G:13.23% B:0.58%)  Conf.: ± 0.014 (+0.023...+0.052)  [99.9%] Duration: 15 minutes 20 seconds 

2.  Rollout^{1}  20/10  eq: +0.004 (0.034) 
 Player: Opponent:  49.17% (G:11.81% B:0.36%) 50.83% (G:12.05% B:0.51%)  Conf.: ± 0.016 (0.012...+0.020)  [0.1%] Duration: 15 minutes 22 seconds 

3.  Rollout^{1}  8/2 6/2  eq: 0.011 (0.048) 
 Player: Opponent:  48.68% (G:13.69% B:0.38%) 51.32% (G:13.68% B:0.48%)  Conf.: ± 0.016 (0.026...+0.005)  [0.0%] Duration: 14 minutes 13 seconds 

4.  3ply  21/15 8/4  eq: +0.024 (0.014) 
 Player: Opponent:  49.66% (G:11.73% B:0.36%) 50.34% (G:13.03% B:0.51%)  

5.  3ply  21/11  eq: +0.007 (0.031) 
 Player: Opponent:  48.73% (G:11.64% B:0.38%) 51.27% (G:11.97% B:0.38%)  


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



63: 13/4* 


1.  Rollout^{1}  18/9  eq: 0.199 
 Player: Opponent:  45.44% (G:9.11% B:0.43%) 54.56% (G:11.70% B:0.28%)  Conf.: ± 0.019 (0.218...0.180)  [100.0%] Duration: 6 minutes 53 seconds 

2.  Rollout^{1}  13/4*  eq: 0.316 (0.117) 
 Player: Opponent:  44.32% (G:10.48% B:0.42%) 55.68% (G:16.73% B:0.47%)  Conf.: ± 0.023 (0.339...0.292)  [0.0%] Duration: 7 minutes 52 seconds 

3.  3ply  8/2 6/3  eq: 0.328 (0.130) 
 Player: Opponent:  43.03% (G:9.77% B:0.31%) 56.97% (G:14.85% B:0.42%)  

4.  3ply  9/3 6/3  eq: 0.340 (0.141) 
 Player: Opponent:  43.57% (G:9.83% B:0.36%) 56.43% (G:16.73% B:0.43%)  

5.  2ply  9/6 9/3  eq: 0.364 (0.165) 
 Player: Opponent:  41.26% (G:8.61% B:0.23%) 58.74% (G:12.99% B:0.34%)  


^{1} 681 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
55.20% (G:16.73% B:0.49%) 
55.25% (G:16.63% B:0.49%) 
Opponent Winning Chances: 
44.80% (G:9.77% B:0.39%) 
44.75% (G:9.75% B:0.39%) 
Cubeless Equities 
+0.159 
+0.331 
Cubeful Equities 
No double:  +0.311  
Double/Take:  +0.167 (0.145)  
Double/Pass:  +1.000 (+0.689) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.8% 


61: Bar/24 20/14 


1.  3ply  Bar/24 20/14  eq: +0.133 
 Player: Opponent:  52.39% (G:12.77% B:0.36%) 47.61% (G:12.12% B:0.38%)  

2.  3ply  Bar/18  eq: +0.051 (0.081) 
 Player: Opponent:  50.37% (G:12.54% B:0.39%) 49.63% (G:13.59% B:0.45%)  

3.  2ply  Bar/24 8/2  eq: 0.213 (0.346) 
 Player: Opponent:  42.26% (G:13.67% B:0.43%) 57.74% (G:17.54% B:0.85%)  



32: 13/10 6/4 


1.  XG Roller++  13/11* 4/1*  eq: 0.118 
 Player: Opponent:  48.28% (G:13.98% B:0.32%) 51.72% (G:13.96% B:0.44%)  

2.  XG Roller++  13/10 6/4  eq: 0.137 (0.019) 
 Player: Opponent:  46.95% (G:10.29% B:0.27%) 53.05% (G:10.56% B:0.25%)  

3.  3ply  13/11* 11/8  eq: 0.163 (0.045) 
 Player: Opponent:  47.51% (G:11.76% B:0.45%) 52.49% (G:14.29% B:0.39%)  

4.  2ply  8/5 6/4  eq: 0.336 (0.218) 
 Player: Opponent:  44.52% (G:9.95% B:0.33%) 55.48% (G:18.69% B:0.54%)  

5.  2ply  9/4  eq: 0.361 (0.243) 
 Player: Opponent:  42.08% (G:9.30% B:0.32%) 57.92% (G:14.96% B:0.43%)  



63: 24/15* 


1.  3ply  24/15*  eq: +0.496 
 Player: Opponent:  62.32% (G:13.63% B:0.31%) 37.68% (G:7.03% B:0.19%)  

2.  1ply  13/4  eq: 0.086 (0.582) 
 Player: Opponent:  46.40% (G:12.01% B:0.28%) 53.60% (G:14.69% B:0.73%)  

3.  1ply  14/8 6/3  eq: 0.121 (0.617) 
 Player: Opponent:  45.92% (G:9.93% B:0.20%) 54.08% (G:13.70% B:0.37%)  

4.  1ply  14/8 13/10  eq: 0.135 (0.631) 
 Player: Opponent:  44.71% (G:11.57% B:0.31%) 55.29% (G:13.95% B:0.50%)  

5.  1ply  24/18 6/3  eq: 0.179 (0.675) 
 Player: Opponent:  45.14% (G:10.44% B:0.24%) 54.86% (G:17.86% B:0.69%)  



33: Cannot Move 


1.  3ply  Cannot Move  eq: 0.635 
 Player: Opponent:  35.66% (G:5.94% B:0.27%) 64.34% (G:15.93% B:0.26%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
63.80% (G:16.02% B:0.28%) 
63.70% (G:16.10% B:0.28%) 
Opponent Winning Chances: 
36.20% (G:5.93% B:0.19%) 
36.30% (G:6.01% B:0.20%) 
Cubeless Equities 
+0.367 
+0.744 
Cubeful Equities 
No double:  +0.609  
Double/Take:  +0.592 (0.017)  
Double/Pass:  +1.000 (+0.391) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.1% 


62: 14/6 


1.  XG Roller+  14/6  eq: +0.590 
 Player: Opponent:  62.97% (G:16.50% B:0.30%) 37.03% (G:6.32% B:0.14%)  

2.  XG Roller+  15/13 14/8  eq: +0.554 (0.037) 
 Player: Opponent:  62.83% (G:15.25% B:0.26%) 37.17% (G:6.37% B:0.12%)  

3.  3ply  15/9 14/12  eq: +0.514 (0.077) 
 Player: Opponent:  60.71% (G:17.26% B:0.49%) 39.29% (G:7.98% B:0.25%)  

4.  3ply  14/8 13/11  eq: +0.474 (0.116) 
 Player: Opponent:  59.67% (G:17.70% B:0.48%) 40.33% (G:8.42% B:0.28%)  

5.  2ply  15/9 13/11  eq: +0.408 (0.182) 
 Player: Opponent:  57.72% (G:17.47% B:0.47%) 42.28% (G:9.82% B:0.57%)  



32: Cannot Move 


1.  3ply  Cannot Move  eq: 0.706 
 Player: Opponent:  35.66% (G:5.84% B:0.27%) 64.34% (G:19.76% B:0.28%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.43% (G:19.46% B:0.31%) 
64.66% (G:19.15% B:0.31%) 
Opponent Winning Chances: 
35.57% (G:5.43% B:0.14%) 
35.34% (G:5.23% B:0.12%) 
Cubeless Equities 
+0.420 
+0.875 
Cubeful Equities 
No double:  +0.710 (0.006)  
Double/Take:  +0.716  
Double/Pass:  +1.000 (+0.284) 

Best Cube action: Double / Take 


33: 13/10(4) 


1.  3ply  13/10(4)  eq: +0.951 
 Player: Opponent:  69.69% (G:21.95% B:0.39%) 30.31% (G:3.73% B:0.07%)  

2.  2ply  15/9 13/10(2)  eq: +0.731 (0.219) 
 Player: Opponent:  64.03% (G:22.79% B:0.35%) 35.97% (G:6.63% B:0.26%)  

3.  2ply  13/10(3) 6/3  eq: +0.730 (0.221) 
 Player: Opponent:  64.48% (G:21.16% B:0.29%) 35.52% (G:6.18% B:0.28%)  

4.  2ply  15/12 13/10(3)  eq: +0.711 (0.239) 
 Player: Opponent:  64.17% (G:21.98% B:0.33%) 35.83% (G:6.10% B:0.29%)  

5.  2ply  15/12 13/10(2) 6/3  eq: +0.706 (0.245) 
 Player: Opponent:  63.05% (G:22.61% B:0.31%) 36.95% (G:6.79% B:0.28%)  



31: Bar/24 8/5 


1.  3ply  Bar/24 8/5  eq: 0.804 
 Player: Opponent:  35.64% (G:5.67% B:0.19%) 64.36% (G:23.90% B:0.35%)  

2.  3ply  Bar/24 6/3  eq: 0.926 (0.122) 
 Player: Opponent:  33.82% (G:5.06% B:0.19%) 66.18% (G:25.11% B:0.38%)  

3.  3ply  Bar/24 9/6  eq: 0.983 (0.179) 
 Player: Opponent:  32.15% (G:4.77% B:0.16%) 67.85% (G:24.01% B:0.33%)  

4.  3ply  Bar/21  eq: 1.000 (0.196) 
 Player: Opponent:  27.78% (G:3.54% B:0.13%) 72.22% (G:23.81% B:0.18%)  

5.  3ply  Bar/24 4/1  eq: 1.000 (0.196) 
 Player: Opponent:  27.36% (G:4.01% B:0.15%) 72.64% (G:26.47% B:0.35%)  



Double/Take 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
66.59% (G:23.48% B:0.38%) 
66.72% (G:23.05% B:0.31%) 
Opponent Winning Chances: 
33.41% (G:4.93% B:0.13%) 
33.28% (G:4.89% B:0.15%) 
Cubeless Equities 
+0.510 
+1.059 
Cubeful Equities 
No double:  +0.863 (0.045)  
Double/Take:  +0.908  
Double/Pass:  +1.000 (+0.092) 

Best Cube action: Double / Take 


61: 15/9 10/9 


1.  XG Roller+  15/9 10/9  eq: +0.535 
 Player: Opponent:  69.16% (G:22.80% B:0.36%) 30.84% (G:4.25% B:0.09%)  

2.  XG Roller+  15/8  eq: +0.521 (0.014) 
 Player: Opponent:  69.37% (G:21.21% B:0.25%) 30.63% (G:4.24% B:0.07%)  

3.  2ply  10/3  eq: +0.334 (0.201) 
 Player: Opponent:  60.97% (G:22.79% B:0.45%) 39.03% (G:6.48% B:0.25%)  

4.  2ply  15/14 10/4  eq: +0.305 (0.230) 
 Player: Opponent:  59.92% (G:22.80% B:0.55%) 40.08% (G:7.66% B:0.33%)  

5.  1ply  8/1*  eq: +0.219 (0.316) 
 Player: Opponent:  56.34% (G:23.57% B:0.45%) 43.66% (G:9.47% B:0.41%)  



61: 9/3 6/5 


1.  3ply  9/3 6/5  eq: 0.482 
 Player: Opponent:  33.61% (G:5.38% B:0.16%) 66.39% (G:24.41% B:0.35%)  

2.  3ply  8/2 6/5  eq: 0.567 (0.085) 
 Player: Opponent:  30.79% (G:5.06% B:0.15%) 69.21% (G:26.00% B:0.38%)  

3.  3ply  9/3 8/7  eq: 0.575 (0.093) 
 Player: Opponent:  30.31% (G:4.60% B:0.15%) 69.69% (G:25.40% B:0.45%)  

4.  3ply  18/12 6/5  eq: 0.595 (0.113) 
 Player: Opponent:  31.51% (G:5.19% B:0.22%) 68.49% (G:30.04% B:0.47%)  

5.  3ply  9/3 4/3  eq: 0.600 (0.117) 
 Player: Opponent:  29.65% (G:4.58% B:0.15%) 70.35% (G:26.28% B:0.41%)  



44: 10/2 8/4(2) 


1.  3ply  10/2 8/4(2)  eq: +0.685 
 Player: Opponent:  72.68% (G:28.26% B:0.36%) 27.32% (G:2.66% B:0.03%)  

2.  3ply  10/6(2) 10/2  eq: +0.557 (0.128) 
 Player: Opponent:  66.04% (G:31.48% B:0.37%) 33.96% (G:4.52% B:0.04%)  

3.  2ply  8/4(2) 6/2(2)  eq: +0.443 (0.243) 
 Player: Opponent:  65.13% (G:23.17% B:0.18%) 34.87% (G:4.45% B:0.11%)  

4.  1ply  10/6(2) 8/4(2)  eq: +0.379 (0.306) 
 Player: Opponent:  58.86% (G:31.04% B:0.94%) 41.14% (G:6.60% B:0.11%)  

5.  1ply  10/2 6/2(2)  eq: +0.120 (0.565) 
 Player: Opponent:  51.44% (G:25.17% B:0.46%) 48.56% (G:9.75% B:0.04%)  



53: 9/6 8/3 


1.  XG Roller+  9/6 8/3  eq: 0.671 
 Player: Opponent:  28.96% (G:3.52% B:0.11%) 71.04% (G:30.72% B:0.15%)  

2.  XG Roller+  8/5 8/3  eq: 0.673 (0.001) 
 Player: Opponent:  29.21% (G:3.67% B:0.11%) 70.79% (G:31.49% B:0.12%)  

3.  3ply  9/4 8/5  eq: 0.785 (0.113) 
 Player: Opponent:  26.57% (G:3.29% B:0.12%) 73.43% (G:36.01% B:0.27%)  

4.  2ply  9/4 6/3  eq: 0.887 (0.216) 
 Player: Opponent:  24.40% (G:2.75% B:0.04%) 75.60% (G:40.15% B:0.58%)  

5.  2ply  8/3 5/2  eq: 0.899 (0.227) 
 Player: Opponent:  25.01% (G:2.85% B:0.05%) 74.99% (G:42.15% B:0.89%)  



52: 6/4 6/1* 


1.  XG Roller+  6/1* 3/1  eq: +0.440 (+0.010) 
 Player: Opponent:  62.26% (G:29.84% B:0.19%) 37.74% (G:6.46% B:0.17%)  

2.  XG Roller+  6/4 6/1*  eq: +0.431 
 Player: Opponent:  61.96% (G:29.33% B:0.22%) 38.04% (G:6.69% B:0.18%)  

3.  3ply  10/8 6/1*  eq: +0.257 (0.174) 
 Player: Opponent:  56.22% (G:29.05% B:0.33%) 43.78% (G:12.73% B:0.53%)  

4.  2ply  10/3  eq: +0.176 (0.254) 
 Player: Opponent:  55.33% (G:20.26% B:0.33%) 44.67% (G:5.82% B:0.15%)  

5.  1ply  9/4 6/4  eq: +0.136 (0.295) 
 Player: Opponent:  52.44% (G:23.56% B:0.63%) 47.56% (G:8.38% B:0.15%)  



11: Bar/24* 8/5 


1.  XG Roller++  Bar/24* 18/17(2) 6/5  eq: +0.156 
 Player: Opponent:  55.83% (G:14.12% B:0.48%) 44.17% (G:17.34% B:0.50%)  

2.  XG Roller++  Bar/24* 8/5  eq: +0.150 (0.007) 
 Player: Opponent:  54.45% (G:13.71% B:0.41%) 45.55% (G:14.80% B:0.34%)  

3.  XG Roller+  Bar/24* 18/17(2) 8/7  eq: +0.122 (0.035) 
 Player: Opponent:  55.07% (G:14.27% B:0.54%) 44.93% (G:18.89% B:0.50%)  

4.  3ply  Bar/24* 6/3  eq: +0.097 (0.059) 
 Player: Opponent:  53.96% (G:12.53% B:0.36%) 46.04% (G:17.82% B:0.47%)  

5.  3ply  Bar/24* 8/7 6/4  eq: +0.084 (0.072) 
 Player: Opponent:  53.96% (G:12.62% B:0.36%) 46.04% (G:19.04% B:0.53%)  



53: Cannot Move 


1.  3ply  Cannot Move  eq: 0.244 
 Player: Opponent:  41.94% (G:13.09% B:0.43%) 58.06% (G:13.17% B:0.28%)  



44: 24/20 18/14 18/10 


1.  3ply  24/20 18/14 18/10  eq: +0.426 
 Player: Opponent:  63.12% (G:14.12% B:0.29%) 36.88% (G:7.52% B:0.16%)  

2.  3ply  18/10(2)  eq: +0.275 (0.151) 
 Player: Opponent:  57.55% (G:14.00% B:0.38%) 42.45% (G:9.66% B:0.21%)  

3.  2ply  24/20 18/6  eq: +0.251 (0.175) 
 Player: Opponent:  56.39% (G:13.69% B:0.36%) 43.61% (G:9.15% B:0.24%)  

4.  2ply  18/14 18/6  eq: +0.245 (0.180) 
 Player: Opponent:  56.55% (G:13.78% B:0.33%) 43.45% (G:10.00% B:0.34%)  

5.  2ply  24/20 18/14(2) 6/2  eq: +0.130 (0.296) 
 Player: Opponent:  54.30% (G:11.77% B:0.21%) 45.70% (G:15.02% B:0.37%)  



51: Bar/24 9/4 


1.  3ply  Bar/24 9/4  eq: 0.601 
 Player: Opponent:  30.33% (G:7.72% B:0.21%) 69.67% (G:19.04% B:0.57%)  

2.  3ply  Bar/24 6/1  eq: 0.719 (0.119) 
 Player: Opponent:  27.82% (G:7.27% B:0.20%) 72.18% (G:29.14% B:0.89%)  



43: 20/16* 16/13 


1.  3ply  20/16* 16/13  eq: +0.972 
 Player: Opponent:  81.94% (G:28.77% B:1.10%) 18.06% (G:3.82% B:0.09%)  

2.  3ply  20/16* 14/11  eq: +0.900 (0.073) 
 Player: Opponent:  79.66% (G:27.94% B:1.24%) 20.34% (G:4.98% B:0.13%)  

3.  3ply  20/16* 6/3  eq: +0.872 (0.101) 
 Player: Opponent:  78.80% (G:27.31% B:1.18%) 21.20% (G:5.58% B:0.16%)  

4.  3ply  20/16* 10/7  eq: +0.764 (0.208) 
 Player: Opponent:  75.64% (G:27.20% B:1.09%) 24.36% (G:8.79% B:0.25%)  

5.  2ply  20/17 20/16*  eq: +0.725 (0.247) 
 Player: Opponent:  74.40% (G:25.31% B:1.19%) 25.60% (G:10.96% B:1.00%)  



65: Cannot Move 


1.  3ply  Cannot Move  eq: 1.027 
 Player: Opponent:  16.47% (G:2.88% B:0.10%) 83.53% (G:31.54% B:1.01%)  



No double 


Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
84.00% (G:33.30% B:1.12%) 
84.13% (G:32.85% B:1.10%) 
Opponent Winning Chances: 
16.00% (G:3.03% B:0.10%) 
15.87% (G:3.11% B:0.12%) 
Cubeless Equities 
+0.991 
+1.548 
Cubeful Equities 
No redouble:  +1.061  
Redouble/Take:  +1.312 (+0.251)  
Redouble/Pass:  +1.000 (0.061) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 19.5% 


64: 14/4 


1.  3ply  14/4  eq: +1.020 
 Player: Opponent:  82.74% (G:32.24% B:1.18%) 17.26% (G:3.22% B:0.07%)  

2.  3ply  14/8 13/9  eq: +0.979 (0.041) 
 Player: Opponent:  82.02% (G:31.23% B:1.18%) 17.98% (G:4.11% B:0.10%)  

3.  3ply  13/3  eq: +0.975 (0.045) 
 Player: Opponent:  81.37% (G:31.55% B:1.10%) 18.63% (G:3.65% B:0.08%)  

4.  3ply  13/9 10/4  eq: +0.970 (0.050) 
 Player: Opponent:  81.15% (G:31.84% B:1.13%) 18.85% (G:3.78% B:0.09%)  

5.  3ply  10/4 5/1*  eq: +0.956 (0.064) 
 Player: Opponent:  80.79% (G:35.01% B:0.79%) 19.21% (G:5.63% B:0.16%)  



32: Bar/23 4/1 


1.  3ply  Bar/23 4/1  eq: 1.000 
 Player: Opponent:  18.98% (G:5.28% B:0.17%) 81.02% (G:35.16% B:1.04%)  

2.  2ply  Bar/23 10/7  eq: 1.208 (0.208) 
 Player: Opponent:  13.68% (G:3.04% B:0.11%) 86.32% (G:47.99% B:5.17%)  

3.  2ply  Bar/23 6/3  eq: 1.252 (0.252) 
 Player: Opponent:  11.64% (G:2.36% B:0.06%) 88.36% (G:49.02% B:2.94%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
80.71% (G:36.15% B:1.14%) 
81.03% (G:35.45% B:1.12%) 
Opponent Winning Chances: 
19.29% (G:4.78% B:0.11%) 
18.97% (G:4.50% B:0.09%) 
Cubeless Equities 
+0.934 
+1.402 
Cubeful Equities 
No redouble:  +0.987 (0.013)  
Redouble/Take:  +1.110 (+0.110)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


62: 10/4 5/3 


1.  Rollout^{1}  10/2*  eq: +0.852 
 Player: Opponent:  75.76% (G:35.60% B:1.56%) 24.24% (G:8.74% B:0.16%)  Conf.: ± 0.009 (+0.843...+0.861)  [100.0%] Duration: 2 minutes 02 seconds 

2.  Rollout^{1}  10/4 5/3  eq: +0.707 (0.145) 
 Player: Opponent:  71.08% (G:25.62% B:1.18%) 28.92% (G:5.95% B:0.14%)  Conf.: ± 0.009 (+0.698...+0.715)  [0.0%] Duration: 1 minute 48 seconds 

3.  2ply  13/7 4/2*  eq: +0.647 (0.205) 
 Player: Opponent:  72.43% (G:30.03% B:1.05%) 27.57% (G:13.73% B:0.44%)  

4.  2ply  13/5  eq: +0.638 (0.214) 
 Player: Opponent:  69.20% (G:23.88% B:0.86%) 30.80% (G:5.77% B:0.12%)  

5.  2ply  20/14 4/2*  eq: +0.637 (0.215) 
 Player: Opponent:  72.62% (G:29.50% B:1.32%) 27.38% (G:14.45% B:1.54%)  


^{1} 681 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller



52: 23/16 


1.  3ply  23/16  eq: 0.848 
 Player: Opponent:  23.88% (G:5.55% B:0.16%) 76.12% (G:33.73% B:0.99%)  

2.  3ply  23/18 3/1  eq: 0.892 (0.044) 
 Player: Opponent:  22.83% (G:5.28% B:0.11%) 77.17% (G:36.79% B:1.14%)  

3.  3ply  23/18 4/2  eq: 0.895 (0.047) 
 Player: Opponent:  22.72% (G:4.71% B:0.12%) 77.28% (G:35.00% B:0.99%)  

4.  3ply  6/4 6/1  eq: 1.000 (0.152) 
 Player: Opponent:  17.73% (G:4.43% B:0.09%) 82.27% (G:35.19% B:0.90%)  

5.  2ply  10/3  eq: 1.123 (0.274) 
 Player: Opponent:  15.15% (G:4.05% B:0.12%) 84.85% (G:43.26% B:3.41%)  



Double/Pass 


Analyzed in Rollout 
No redouble 
Redouble/Take 
Player Winning Chances: 
75.36% (G:33.39% B:1.22%) 
76.22% (G:30.01% B:2.22%) 
Opponent Winning Chances: 
24.64% (G:5.89% B:0.15%) 
23.78% (G:6.27% B:0.39%) 
Cubeless Equities 
+0.786 
+1.102 
Cubeful Equities 
No redouble:  +0.856  ±0.009 (+0.847..+0.865) 
Redouble/Take:  +0.771 (0.085)  ±0.018 (+0.753..+0.789) 
Redouble/Pass:  +1.000 (+0.144) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 27.1% 
Rollout details 
681 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 3 minutes 14 seconds 


Wins 2pts. 



