64: 24/18 13/9 


1.  Book^{1}  8/2 6/2  eq: +0.013 
 Player: Opponent:  49.81% (G:15.31% B:0.80%) 50.19% (G:13.96% B:0.61%)  

2.  Book^{1}  24/18 13/9  eq: +0.008 (0.005) 
 Player: Opponent:  50.33% (G:13.11% B:0.63%) 49.67% (G:13.19% B:0.56%)  

3.  Book^{1}  24/14  eq: +0.002 (0.011) 
 Player: Opponent:  50.45% (G:11.90% B:0.51%) 49.55% (G:12.87% B:0.46%)  

4.  Book^{1}  24/20 13/7  eq: 0.067 (0.080) 
 Player: Opponent:  48.28% (G:12.96% B:0.58%) 51.72% (G:13.83% B:0.61%)  

5.  Book^{1}  24/20 24/18  eq: 0.077 (0.091) 
 Player: Opponent:  48.80% (G:11.18% B:0.49%) 51.20% (G:14.34% B:0.50%)  


^{1} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



43: 24/21 13/9 


1.  XG Roller++  24/21 13/9  eq: 0.269 
 Player: Opponent:  43.56% (G:10.14% B:0.37%) 56.44% (G:15.37% B:0.73%)  

2.  XG Roller++  24/20 13/10  eq: 0.292 (0.023) 
 Player: Opponent:  43.12% (G:9.55% B:0.34%) 56.88% (G:15.20% B:0.76%)  

3.  XG Roller++  24/20 8/5  eq: 0.301 (0.031) 
 Player: Opponent:  42.89% (G:10.07% B:0.39%) 57.11% (G:16.13% B:0.79%)  

4.  XG Roller++  24/21 24/20  eq: 0.308 (0.038) 
 Player: Opponent:  42.66% (G:8.89% B:0.34%) 57.34% (G:14.90% B:0.53%)  

5.  3ply  8/1*  eq: 0.308 (0.039) 
 Player: Opponent:  42.00% (G:11.20% B:0.38%) 58.00% (G:16.20% B:0.99%)  



31: 8/5 6/5 


1.  4ply  8/5 6/5  eq: +0.063 
 Player: Opponent:  51.71% (G:13.75% B:0.61%) 48.29% (G:13.00% B:0.63%)  

2.  4ply  13/9  eq: +0.008 (0.055) 
 Player: Opponent:  50.82% (G:11.85% B:0.54%) 49.18% (G:13.23% B:0.52%)  

3.  2ply  18/15 9/8  eq: 0.118 (0.180) 
 Player: Opponent:  47.57% (G:11.10% B:0.44%) 52.43% (G:14.90% B:0.57%)  

4.  2ply  13/10 9/8  eq: 0.205 (0.268) 
 Player: Opponent:  45.28% (G:10.59% B:0.45%) 54.72% (G:15.82% B:0.78%)  

5.  2ply  24/23 9/6  eq: 0.212 (0.275) 
 Player: Opponent:  45.26% (G:10.25% B:0.44%) 54.74% (G:16.28% B:0.58%)  



61: 13/7* 8/7 


1.  3ply  13/7* 8/7  eq: 0.114 
 Player: Opponent:  47.44% (G:13.21% B:0.74%) 52.56% (G:15.79% B:0.84%)  

2.  2ply  8/7* 7/1*  eq: 0.308 (0.194) 
 Player: Opponent:  42.30% (G:12.31% B:0.56%) 57.70% (G:18.64% B:1.21%)  

3.  2ply  13/7* 7/6  eq: 0.323 (0.209) 
 Player: Opponent:  41.82% (G:11.69% B:0.61%) 58.18% (G:18.15% B:1.00%)  

4.  2ply  13/7* 9/8  eq: 0.377 (0.263) 
 Player: Opponent:  40.79% (G:10.72% B:0.47%) 59.21% (G:18.92% B:1.15%)  

5.  2ply  24/23 13/7*  eq: 0.378 (0.264) 
 Player: Opponent:  41.02% (G:11.19% B:0.60%) 58.98% (G:20.16% B:1.41%)  



41: Bar/24 13/9 


1.  4ply  Bar/24 13/9  eq: +0.025 
 Player: Opponent:  50.56% (G:13.95% B:0.59%) 49.44% (G:13.47% B:0.68%)  

2.  4ply  Bar/21 9/8  eq: 0.036 (0.061) 
 Player: Opponent:  49.32% (G:12.03% B:0.45%) 50.68% (G:13.29% B:0.54%)  

3.  3ply  Bar/21 6/5  eq: 0.089 (0.115) 
 Player: Opponent:  48.20% (G:12.11% B:0.53%) 51.80% (G:14.71% B:0.72%)  

4.  3ply  Bar/24 8/4*  eq: 0.117 (0.143) 
 Player: Opponent:  47.56% (G:14.72% B:0.81%) 52.44% (G:17.40% B:1.56%)  

5.  3ply  Bar/21 24/23  eq: 0.119 (0.145) 
 Player: Opponent:  47.46% (G:11.58% B:0.51%) 52.54% (G:14.97% B:0.70%)  



53: 24/21 13/8 


1.  3ply  24/21 13/8  eq: +0.045 
 Player: Opponent:  50.08% (G:12.74% B:0.46%) 49.92% (G:8.98% B:0.33%)  

2.  3ply  21/13  eq: 0.119 (0.165) 
 Player: Opponent:  47.49% (G:11.55% B:0.51%) 52.51% (G:14.96% B:0.47%)  

3.  2ply  24/21 9/4  eq: 0.132 (0.178) 
 Player: Opponent:  45.54% (G:10.84% B:0.38%) 54.46% (G:10.82% B:0.37%)  

4.  1ply  24/21 8/3  eq: 0.286 (0.332) 
 Player: Opponent:  41.80% (G:10.49% B:0.48%) 58.20% (G:13.74% B:0.87%)  

5.  1ply  8/3 6/3  eq: 0.293 (0.339) 
 Player: Opponent:  43.25% (G:13.77% B:0.80%) 56.75% (G:21.03% B:1.53%)  



66: 13/7(2) 13/1 


1.  XG Roller++  13/7(2) 13/1  eq: 0.324 
 Player: Opponent:  42.09% (G:9.09% B:0.27%) 57.91% (G:14.42% B:0.55%)  

2.  XG Roller++  9/3(2) 8/2(2)  eq: 0.334 (0.010) 
 Player: Opponent:  41.58% (G:9.75% B:0.25%) 58.42% (G:14.62% B:0.56%)  

3.  4ply  13/7(2) 9/3(2)  eq: 0.389 (0.065) 
 Player: Opponent:  39.65% (G:8.36% B:0.32%) 60.35% (G:13.90% B:0.56%)  

4.  3ply  13/1 9/3(2)  eq: 0.395 (0.071) 
 Player: Opponent:  39.99% (G:9.68% B:0.23%) 60.01% (G:15.63% B:0.82%)  

5.  3ply  13/7(2) 8/2(2)  eq: 0.422 (0.099) 
 Player: Opponent:  39.05% (G:8.64% B:0.29%) 60.95% (G:14.90% B:0.77%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.80% (G:14.13% B:0.52%) 
57.80% (G:14.13% B:0.52%) 
Opponent Winning Chances: 
42.20% (G:8.60% B:0.25%) 
42.20% (G:8.60% B:0.25%) 
Cubeless Equities 
+0.214 
+0.428 
Cubeful Equities 
No double:  +0.310  
Double/Take:  +0.123 (0.187)  
Double/Pass:  +1.000 (+0.690) 

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


51: 13/7 


1.  4ply  13/7  eq: 0.017 
 Player: Opponent:  49.01% (G:10.75% B:0.46%) 50.99% (G:10.15% B:0.29%)  

2.  4ply  13/12 13/8  eq: 0.087 (0.070) 
 Player: Opponent:  47.09% (G:9.96% B:0.40%) 52.91% (G:10.15% B:0.29%)  

3.  3ply  13/8 6/5  eq: 0.140 (0.123) 
 Player: Opponent:  47.25% (G:10.82% B:0.41%) 52.75% (G:15.35% B:0.54%)  

4.  2ply  13/8 9/8  eq: 0.161 (0.144) 
 Player: Opponent:  45.01% (G:8.47% B:0.31%) 54.99% (G:9.59% B:0.27%)  

5.  2ply  9/4 8/7  eq: 0.178 (0.161) 
 Player: Opponent:  45.15% (G:9.74% B:0.40%) 54.85% (G:12.66% B:0.38%)  



42: 24/22 24/20 


1.  3ply  24/22 24/20  eq: 0.087 
 Player: Opponent:  48.47% (G:9.69% B:0.34%) 51.53% (G:12.43% B:0.48%)  

2.  3ply  24/22 6/2  eq: 0.199 (0.112) 
 Player: Opponent:  45.48% (G:9.10% B:0.27%) 54.52% (G:13.40% B:0.64%)  

3.  2ply  24/20 7/5  eq: 0.362 (0.275) 
 Player: Opponent:  40.61% (G:9.78% B:0.37%) 59.39% (G:16.64% B:0.86%)  

4.  2ply  24/22 5/1  eq: 0.423 (0.336) 
 Player: Opponent:  39.08% (G:9.08% B:0.29%) 60.92% (G:17.05% B:0.78%)  

5.  1ply  24/22 7/3  eq: 0.414 (0.327) 
 Player: Opponent:  39.65% (G:9.79% B:0.34%) 60.35% (G:18.09% B:1.22%)  



61: 13/7 9/8 


1.  Rollout^{1}  9/3* 6/5*  eq: 0.161 
 Player: Opponent:  46.26% (G:11.95% B:0.47%) 53.74% (G:15.36% B:0.63%)  Conf.: ± 0.014 (0.175...0.147)  [100.0%] Duration: 9 minutes 53 seconds 

2.  Rollout^{1}  13/7 9/8  eq: 0.450 (0.289) 
 Player: Opponent:  37.03% (G:5.30% B:0.17%) 62.97% (G:6.64% B:0.21%)  Conf.: ± 0.010 (0.460...0.440)  [0.0%] Duration: 9 minutes 45 seconds 

3.  2ply  13/12 9/3*  eq: 0.405 (0.244) 
 Player: Opponent:  38.18% (G:6.62% B:0.23%) 61.82% (G:11.11% B:0.33%)  

4.  2ply  9/3* 3/2  eq: 0.426 (0.265) 
 Player: Opponent:  37.48% (G:6.71% B:0.24%) 62.52% (G:11.28% B:0.35%)  

5.  2ply  9/2  eq: 0.465 (0.304) 
 Player: Opponent:  35.70% (G:5.71% B:0.20%) 64.30% (G:9.13% B:0.27%)  


^{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: 
62.37% (G:5.90% B:0.13%) 
62.37% (G:5.90% B:0.13%) 
Opponent Winning Chances: 
37.63% (G:4.85% B:0.14%) 
37.63% (G:4.85% B:0.14%) 
Cubeless Equities 
+0.258 
+0.516 
Cubeful Equities 
No double:  +0.389  
Double/Take:  +0.255 (0.134)  
Double/Pass:  +1.000 (+0.611) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.2% 


21: 22/20 6/5 


1.  3ply  22/20 6/5  eq: +0.368 
 Player: Opponent:  61.95% (G:5.37% B:0.11%) 38.05% (G:3.98% B:0.09%)  

2.  2ply  22/20 9/8  eq: +0.163 (0.205) 
 Player: Opponent:  54.59% (G:7.14% B:0.17%) 45.41% (G:4.86% B:0.14%)  

3.  2ply  22/20 7/6  eq: +0.148 (0.219) 
 Player: Opponent:  54.04% (G:7.77% B:0.17%) 45.96% (G:5.33% B:0.16%)  

4.  2ply  22/20 8/7  eq: +0.145 (0.222) 
 Player: Opponent:  53.99% (G:7.14% B:0.16%) 46.01% (G:4.84% B:0.13%)  

5.  2ply  6/3  eq: +0.051 (0.317) 
 Player: Opponent:  52.21% (G:9.32% B:0.29%) 47.79% (G:10.54% B:0.37%)  



11: 8/6(2) 


1.  XG Roller++  8/6(2)  eq: 0.632 
 Player: Opponent:  31.28% (G:2.79% B:0.06%) 68.72% (G:4.94% B:0.11%)  

2.  XG Roller++  8/6 7/6(2)  eq: 0.667 (0.035) 
 Player: Opponent:  30.30% (G:2.42% B:0.05%) 69.70% (G:4.79% B:0.10%)  

3.  2ply  8/7(4)  eq: 0.710 (0.079) 
 Player: Opponent:  29.32% (G:1.76% B:0.02%) 70.68% (G:5.94% B:0.13%)  

4.  2ply  7/6(4)  eq: 0.727 (0.095) 
 Player: Opponent:  28.44% (G:2.18% B:0.03%) 71.56% (G:5.04% B:0.11%)  

5.  2ply  8/7(2) 8/6  eq: 0.838 (0.206) 
 Player: Opponent:  27.21% (G:2.36% B:0.04%) 72.79% (G:7.96% B:0.15%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.45% (G:4.75% B:0.10%) 
68.53% (G:4.77% B:0.10%) 
Opponent Winning Chances: 
31.55% (G:2.65% B:0.06%) 
31.47% (G:2.61% B:0.06%) 
Cubeless Equities 
+0.390 
+0.785 
Cubeful Equities 
No double:  +0.625  
Double/Take:  +0.565 (0.059)  
Double/Pass:  +1.000 (+0.375) 

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


42: 6/2 5/3 


1.  Rollout^{1}  20/14  eq: +0.571 
 Player: Opponent:  66.16% (G:5.77% B:0.18%) 33.84% (G:3.86% B:0.11%)  Conf.: ± 0.010 (+0.561...+0.581)  [100.0%] Duration: 8 minutes 26 seconds 

2.  Rollout^{1}  6/2 5/3  eq: +0.512 (0.058) 
 Player: Opponent:  64.51% (G:6.80% B:0.23%) 35.49% (G:4.29% B:0.15%)  Conf.: ± 0.010 (+0.502...+0.522)  [0.0%] Duration: 9 minutes 09 seconds 

3.  XG Roller++  20/16 5/3  eq: +0.521 (0.050) 
 Player: Opponent:  65.46% (G:5.36% B:0.13%) 34.54% (G:4.35% B:0.10%)  

4.  3ply  7/5 7/3  eq: +0.406 (0.165) 
 Player: Opponent:  62.99% (G:5.58% B:0.11%) 37.01% (G:3.71% B:0.09%)  

5.  3ply  7/1  eq: +0.367 (0.204) 
 Player: Opponent:  61.17% (G:7.31% B:0.14%) 38.83% (G:4.32% B:0.10%)  


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



31: 6/2 


1.  XG Roller++  6/2  eq: 0.568 
 Player: Opponent:  33.27% (G:4.03% B:0.11%) 66.73% (G:6.55% B:0.15%)  

2.  XG Roller++  7/3  eq: 0.597 (0.029) 
 Player: Opponent:  32.38% (G:3.82% B:0.11%) 67.62% (G:6.10% B:0.14%)  

3.  3ply  7/6 7/4  eq: 0.620 (0.051) 
 Player: Opponent:  31.66% (G:3.30% B:0.09%) 68.34% (G:6.40% B:0.14%)  

4.  2ply  8/7 6/3  eq: 0.657 (0.088) 
 Player: Opponent:  29.59% (G:3.62% B:0.10%) 70.41% (G:8.53% B:0.18%)  

5.  2ply  8/4  eq: 0.706 (0.138) 
 Player: Opponent:  29.68% (G:3.74% B:0.12%) 70.32% (G:8.56% B:0.19%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.80% (G:6.45% B:0.17%) 
67.00% (G:6.35% B:0.16%) 
Opponent Winning Chances: 
33.20% (G:4.08% B:0.13%) 
33.00% (G:3.95% B:0.15%) 
Cubeless Equities 
+0.360 
+0.728 
Cubeful Equities 
No double:  +0.569  
Double/Take:  +0.500 (0.069)  
Double/Pass:  +1.000 (+0.431) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.1% 


54: 20/16 20/15 


1.  3ply  20/16 20/15  eq: +0.746 
 Player: Opponent:  71.77% (G:4.58% B:0.10%) 28.23% (G:2.06% B:0.10%)  

2.  2ply  20/11  eq: +0.429 (0.317) 
 Player: Opponent:  63.04% (G:9.24% B:0.23%) 36.96% (G:5.86% B:0.18%)  

3.  2ply  7/3 7/2  eq: +0.394 (0.352) 
 Player: Opponent:  62.40% (G:6.42% B:0.16%) 37.60% (G:4.31% B:0.13%)  

4.  1ply  20/15 7/3  eq: +0.279 (0.467) 
 Player: Opponent:  59.49% (G:9.03% B:0.18%) 40.51% (G:9.07% B:0.41%)  

5.  1ply  20/16 7/2  eq: +0.278 (0.468) 
 Player: Opponent:  59.50% (G:9.32% B:0.17%) 40.50% (G:9.42% B:0.46%)  



43: 8/4 7/4 


1.  XG Roller++  8/4 7/4  eq: 0.837 
 Player: Opponent:  25.98% (G:1.45% B:0.05%) 74.02% (G:3.66% B:0.15%)  

2.  XG Roller++  7/3 6/3  eq: 0.838 (0.001) 
 Player: Opponent:  25.77% (G:1.28% B:0.02%) 74.23% (G:3.10% B:0.06%)  

3.  XG Roller++  7/4 6/2  eq: 0.840 (0.002) 
 Player: Opponent:  25.83% (G:1.31% B:0.03%) 74.17% (G:3.35% B:0.07%)  

4.  XG Roller++  6/3 6/2  eq: 0.845 (0.008) 
 Player: Opponent:  25.89% (G:1.40% B:0.03%) 74.11% (G:3.80% B:0.11%)  

5.  XG Roller++  8/5 7/3  eq: 0.876 (0.039) 
 Player: Opponent:  25.03% (G:0.90% B:0.01%) 74.97% (G:2.67% B:0.05%)  



Double/Take 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
74.17% (G:3.27% B:0.15%) 
74.38% (G:3.35% B:0.16%) 
Opponent Winning Chances: 
25.83% (G:1.37% B:0.06%) 
25.62% (G:1.36% B:0.08%) 
Cubeless Equities 
+0.503 
+1.017 
Cubeful Equities 
No double:  +0.850 (0.007)  ±0.008 (+0.841..+0.858) 
Double/Take:  +0.857  ±0.009 (+0.847..+0.866) 
Double/Pass:  +1.000 (+0.143) 

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


Double Decision confidence: 
86.9% 
Take Decision confidence: 
100.0% 
Duration: 6 minutes 58 seconds 


11: 16/14 15/14 3/2 


1.  XG Roller++  16/13 2/1  eq: +0.358 
 Player: Opponent:  70.90% (G:5.71% B:0.33%) 29.10% (G:2.23% B:0.09%)  

2.  XG Roller++  15/12 2/1  eq: +0.355 (0.003) 
 Player: Opponent:  71.72% (G:3.10% B:0.06%) 28.28% (G:1.58% B:0.02%)  

3.  XG Roller++  16/13 3/2  eq: +0.355 (0.004) 
 Player: Opponent:  71.18% (G:4.39% B:0.23%) 28.82% (G:1.98% B:0.08%)  

4.  XG Roller++  15/12 3/2  eq: +0.348 (0.011) 
 Player: Opponent:  71.23% (G:3.53% B:0.10%) 28.77% (G:1.81% B:0.03%)  

5.  XG Roller++  16/14 15/14 2/1  eq: +0.347 (0.012) 
 Player: Opponent:  71.23% (G:3.08% B:0.09%) 28.77% (G:1.29% B:0.01%)  

6.  XG Roller++  16/14 15/14 3/2  eq: +0.341 (0.017) 
 Player: Opponent:  71.01% (G:3.11% B:0.08%) 28.99% (G:1.50% B:0.03%)  



64: 7/1 6/2 


1.  XG Roller++  7/1 6/2  eq: 0.353 
 Player: Opponent:  28.53% (G:1.48% B:0.03%) 71.47% (G:3.59% B:0.13%)  

2.  XG Roller++  8/2 7/3  eq: 0.354 (0.000) 
 Player: Opponent:  28.49% (G:1.37% B:0.03%) 71.51% (G:3.39% B:0.07%)  

3.  XG Roller++  8/2 6/2  eq: 0.360 (0.007) 
 Player: Opponent:  28.14% (G:1.00% B:0.01%) 71.86% (G:3.00% B:0.05%)  

4.  XG Roller++  7/3 7/1  eq: 0.375 (0.022) 
 Player: Opponent:  27.58% (G:1.11% B:0.01%) 72.42% (G:3.12% B:0.09%)  

5.  XG Roller++  8/4 7/1  eq: 0.393 (0.040) 
 Player: Opponent:  26.86% (G:0.86% B:0.01%) 73.14% (G:3.08% B:0.06%)  



43: 14/7 


1.  3ply  14/7  eq: +0.341 
 Player: Opponent:  70.95% (G:3.56% B:0.08%) 29.05% (G:1.41% B:0.02%)  

2.  3ply  9/6 9/5  eq: +0.258 (0.083) 
 Player: Opponent:  67.42% (G:3.44% B:0.02%) 32.58% (G:1.29% B:0.01%)  

3.  3ply  8/1  eq: +0.186 (0.156) 
 Player: Opponent:  63.86% (G:7.94% B:0.30%) 36.14% (G:4.58% B:0.05%)  

4.  3ply  14/11 14/10  eq: +0.180 (0.162) 
 Player: Opponent:  65.05% (G:6.37% B:0.29%) 34.95% (G:6.44% B:0.15%)  

5.  2ply  5/2 5/1  eq: +0.118 (0.223) 
 Player: Opponent:  62.41% (G:2.34% B:0.03%) 37.59% (G:2.70% B:0.02%)  



61: 7/1 6/5 


1.  XG Roller++  7/1 6/5  eq: 0.383 
 Player: Opponent:  27.41% (G:1.03% B:0.01%) 72.59% (G:3.05% B:0.08%)  

2.  XG Roller++  8/2 6/5  eq: 0.406 (0.023) 
 Player: Opponent:  26.39% (G:0.75% B:0.01%) 73.61% (G:2.93% B:0.06%)  

3.  XG Roller++  7/1 4/3  eq: 0.417 (0.034) 
 Player: Opponent:  25.87% (G:0.66% B:0.00%) 74.13% (G:2.79% B:0.05%)  

4.  XG Roller++  8/1  eq: 0.417 (0.034) 
 Player: Opponent:  25.84% (G:0.73% B:0.01%) 74.16% (G:2.69% B:0.04%)  

5.  XG Roller++  7/6 7/1  eq: 0.432 (0.049) 
 Player: Opponent:  25.29% (G:0.86% B:0.01%) 74.71% (G:3.20% B:0.06%)  



41: 14/9 


1.  4ply  14/9  eq: +0.346 
 Player: Opponent:  71.33% (G:2.71% B:0.03%) 28.67% (G:1.03% B:0.00%)  

2.  4ply  14/13 7/3  eq: +0.302 (0.044) 
 Player: Opponent:  69.38% (G:3.94% B:0.17%) 30.62% (G:1.91% B:0.02%)  

3.  4ply  7/3 2/1  eq: +0.289 (0.057) 
 Player: Opponent:  68.69% (G:4.84% B:0.20%) 31.31% (G:2.61% B:0.04%)  

4.  3ply  7/2  eq: +0.256 (0.090) 
 Player: Opponent:  67.61% (G:3.59% B:0.11%) 32.39% (G:1.92% B:0.01%)  

5.  3ply  9/8 9/5  eq: +0.197 (0.149) 
 Player: Opponent:  64.87% (G:3.72% B:0.11%) 35.13% (G:2.09% B:0.02%)  



33: 8/5 7/4 6/3(2) 


1.  XG Roller++  8/5 7/4 6/3(2)  eq: 0.291 
 Player: Opponent:  31.29% (G:1.24% B:0.01%) 68.71% (G:2.45% B:0.03%)  

2.  XG Roller++  8/5 6/3(3)  eq: 0.314 (0.023) 
 Player: Opponent:  30.37% (G:1.36% B:0.01%) 69.63% (G:2.91% B:0.05%)  

3.  XG Roller++  8/2 6/3(2)  eq: 0.329 (0.038) 
 Player: Opponent:  29.78% (G:1.37% B:0.01%) 70.22% (G:3.13% B:0.06%)  

4.  4ply  7/1 6/3(2)  eq: 0.333 (0.042) 
 Player: Opponent:  29.29% (G:0.95% B:0.00%) 70.71% (G:2.86% B:0.04%)  

5.  3ply  8/5 6/3(2) 4/1  eq: 0.347 (0.056) 
 Player: Opponent:  28.77% (G:0.99% B:0.00%) 71.23% (G:2.89% B:0.03%)  



32: 9/6 7/5 


1.  3ply  9/6 7/5  eq: +0.298 
 Player: Opponent:  69.34% (G:2.82% B:0.04%) 30.66% (G:1.45% B:0.00%)  

2.  3ply  7/2  eq: +0.171 (0.127) 
 Player: Opponent:  64.10% (G:2.03% B:0.03%) 35.90% (G:1.22% B:0.00%)  

3.  3ply  8/6 8/5  eq: +0.169 (0.129) 
 Player: Opponent:  63.93% (G:2.14% B:0.02%) 36.07% (G:0.87% B:0.00%)  

4.  1ply  5/3 5/2  eq: +0.001 (0.297) 
 Player: Opponent:  57.43% (G:1.32% B:0.01%) 42.57% (G:1.72% B:0.00%)  

5.  1ply  9/6 5/3  eq: 0.262 (0.560) 
 Player: Opponent:  48.65% (G:3.05% B:0.02%) 51.35% (G:9.51% B:0.03%)  



54: 6/2 6/1 


1.  4ply  6/2 6/1  eq: 0.344 
 Player: Opponent:  29.05% (G:0.91% B:0.00%) 70.95% (G:3.06% B:0.04%)  

2.  4ply  6/1 5/1  eq: 0.397 (0.053) 
 Player: Opponent:  27.13% (G:0.85% B:0.00%) 72.87% (G:3.90% B:0.07%)  



65: 7/2 7/1 


1.  3ply  7/2 7/1  eq: +0.369 
 Player: Opponent:  72.22% (G:2.21% B:0.02%) 27.78% (G:0.33% B:0.00%)  

2.  3ply  8/3 8/2  eq: +0.279 (0.090) 
 Player: Opponent:  68.58% (G:2.17% B:0.02%) 31.42% (G:0.72% B:0.00%)  

3.  1ply  9/3 6/1  eq: +0.051 (0.319) 
 Player: Opponent:  58.96% (G:3.80% B:0.02%) 41.04% (G:2.63% B:0.01%)  

4.  1ply  7/1 6/1  eq: +0.049 (0.321) 
 Player: Opponent:  59.14% (G:3.40% B:0.02%) 40.86% (G:2.90% B:0.00%)  

5.  1ply  8/2 6/1  eq: +0.017 (0.352) 
 Player: Opponent:  57.76% (G:3.17% B:0.02%) 42.24% (G:2.55% B:0.00%)  



44: 5/1(2) 


1.  3ply  5/1(2)  eq: 0.435 
 Player: Opponent:  25.24% (G:0.38% B:0.00%) 74.76% (G:2.62% B:0.03%)  



22: 9/7(2) 8/6(2) 


1.  Rollout^{1}  9/5(2)  eq: +0.410 
 Player: Opponent:  74.46% (G:1.38% B:0.00%) 25.54% (G:0.09% B:0.00%)  Conf.: ± 0.004 (+0.406...+0.414)  [100.0%] Duration: 29.4 seconds 

2.  Rollout^{1}  9/7(2) 8/6(2)  eq: +0.383 (0.026) 
 Player: Opponent:  73.29% (G:1.14% B:0.01%) 26.71% (G:0.05% B:0.00%)  Conf.: ± 0.004 (+0.380...+0.387)  [0.0%] Duration: 19.2 seconds 

3.  3ply  9/7(2) 5/1  eq: +0.350 (0.060) 
 Player: Opponent:  71.59% (G:1.80% B:0.02%) 28.41% (G:0.23% B:0.00%)  

4.  3ply  8/6(2) 5/1  eq: +0.328 (0.082) 
 Player: Opponent:  70.52% (G:2.10% B:0.02%) 29.48% (G:0.45% B:0.00%)  

5.  3ply  5/3(2) 5/1  eq: +0.327 (0.082) 
 Player: Opponent:  70.54% (G:2.16% B:0.02%) 29.46% (G:0.42% B:0.00%)  


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



43: 21/14 


1.  3ply  21/14  eq: 0.483 
 Player: Opponent:  23.35% (G:0.16% B:0.00%) 76.65% (G:2.34% B:0.02%)  

2.  3ply  21/17 4/1  eq: 0.585 (0.102) 
 Player: Opponent:  19.31% (G:0.03% B:0.00%) 80.69% (G:2.81% B:0.02%)  



41: 6/2 5/4* 


1.  Rollout^{1}  7/6 7/3  eq: +0.216 
 Player: Opponent:  66.60% (G:0.10% B:0.00%) 33.40% (G:0.00% B:0.00%)  Conf.: ± 0.004 (+0.212...+0.220)  [100.0%] Duration: 5.1 seconds 

2.  Rollout^{1}  6/2 5/4*  eq: +0.158 (0.059) 
 Player: Opponent:  63.60% (G:2.37% B:0.02%) 36.40% (G:0.71% B:0.01%)  Conf.: ± 0.004 (+0.154...+0.161)  [0.0%] Duration: 43.8 seconds 

3.  3ply  6/5 6/2  eq: +0.122 (0.095) 
 Player: Opponent:  61.69% (G:0.23% B:0.00%) 38.31% (G:0.07% B:0.00%)  

4.  3ply  6/1  eq: +0.112 (0.105) 
 Player: Opponent:  61.21% (G:0.27% B:0.00%) 38.79% (G:0.08% B:0.00%)  

5.  2ply  5/1 2/1  eq: +0.050 (0.167) 
 Player: Opponent:  58.34% (G:0.15% B:0.00%) 41.66% (G:0.06% B:0.00%)  


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



41: Bar/21* 14/13 


1.  XG Roller++  Bar/21* 14/13  eq: +0.442 
 Player: Opponent:  60.88% (G:1.80% B:0.01%) 39.12% (G:2.45% B:0.04%)  

2.  XG Roller++  Bar/21* 4/3  eq: +0.393 (0.049) 
 Player: Opponent:  59.60% (G:1.76% B:0.01%) 40.40% (G:2.63% B:0.05%)  

3.  4ply  Bar/21* 2/1  eq: +0.395 (0.046) 
 Player: Opponent:  59.60% (G:1.65% B:0.01%) 40.40% (G:2.47% B:0.04%)  

4.  1ply  Bar/21* 3/2  eq: 0.211 (0.653) 
 Player: Opponent:  37.76% (G:0.57% B:0.01%) 62.24% (G:10.55% B:0.20%)  



32: Cannot Move 


1.  3ply  Cannot Move  eq: 0.832 
 Player: Opponent:  24.44% (G:0.97% B:0.01%) 75.56% (G:0.93% B:0.00%)  



Double/Take 


Analyzed in Rollout 
No redouble 
Redouble/Take 
Player Winning Chances: 
75.20% (G:0.95% B:0.00%) 
75.18% (G:0.96% B:0.01%) 
Opponent Winning Chances: 
24.80% (G:1.16% B:0.02%) 
24.82% (G:1.17% B:0.02%) 
Cubeless Equities 
+0.502 
+1.003 
Cubeful Equities 
No redouble:  +0.760 (0.055)  ±0.004 (+0.757..+0.764) 
Redouble/Take:  +0.815  ±0.007 (+0.808..+0.822) 
Redouble/Pass:  +1.000 (+0.185) 

Best Cube action: Redouble / 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: 1 minute 10 seconds 


54: 21/12 


1.  3ply  21/12  eq: +0.547 
 Player: Opponent:  81.02% (G:0.74% B:0.00%) 18.98% (G:0.43% B:0.00%)  

2.  3ply  21/17 13/8  eq: +0.462 (0.086) 
 Player: Opponent:  77.59% (G:0.77% B:0.01%) 22.41% (G:0.90% B:0.01%)  

3.  3ply  21/16 13/9  eq: +0.455 (0.092) 
 Player: Opponent:  77.32% (G:0.79% B:0.01%) 22.68% (G:0.89% B:0.01%)  

4.  2ply  13/4  eq: +0.367 (0.180) 
 Player: Opponent:  73.22% (G:1.64% B:0.00%) 26.78% (G:0.35% B:0.01%)  



11: Cannot Move 


1.  3ply  Cannot Move  eq: 0.721 
 Player: Opponent:  11.89% (G:0.34% B:0.00%) 88.11% (G:0.92% B:0.00%)  



21: 12/10 4/3 


1.  XG Roller++  13/11 4/3  eq: +0.562 
 Player: Opponent:  81.65% (G:0.93% B:0.00%) 18.35% (G:0.68% B:0.01%)  

2.  XG Roller++  13/11 12/11  eq: +0.560 (0.002) 
 Player: Opponent:  81.43% (G:1.00% B:0.01%) 18.57% (G:0.66% B:0.01%)  

3.  XG Roller++  13/11 2/1  eq: +0.559 (0.004) 
 Player: Opponent:  81.44% (G:0.86% B:0.00%) 18.56% (G:0.66% B:0.01%)  

4.  XG Roller++  13/10  eq: +0.556 (0.006) 
 Player: Opponent:  81.43% (G:0.90% B:0.00%) 18.57% (G:0.49% B:0.01%)  

5.  XG Roller++  12/10 4/3  eq: +0.551 (0.011) 
 Player: Opponent:  81.14% (G:0.81% B:0.00%) 18.86% (G:0.54% B:0.01%)  



62: Bar/19 6/4 


1.  XG Roller++  Bar/19 7/5  eq: 0.590 
 Player: Opponent:  17.04% (G:0.17% B:0.00%) 82.96% (G:0.31% B:0.00%)  

2.  XG Roller++  Bar/19 6/4  eq: 0.592 (0.002) 
 Player: Opponent:  17.10% (G:0.21% B:0.00%) 82.90% (G:0.59% B:0.00%)  

3.  4ply  Bar/19 5/3  eq: 0.667 (0.077) 
 Player: Opponent:  14.24% (G:0.29% B:0.00%) 85.76% (G:1.14% B:0.01%)  

4.  3ply  Bar/17  eq: 0.740 (0.150) 
 Player: Opponent:  11.01% (G:0.14% B:0.00%) 88.99% (G:0.45% B:0.00%)  



53: 10/2 


1.  4ply  10/2  eq: +0.457 
 Player: Opponent:  77.15% (G:0.71% B:0.00%) 22.85% (G:0.29% B:0.01%)  

2.  4ply  10/5 4/1  eq: +0.381 (0.076) 
 Player: Opponent:  74.39% (G:0.37% B:0.00%) 25.61% (G:0.66% B:0.02%)  

3.  2ply  13/5  eq: +0.265 (0.192) 
 Player: Opponent:  69.22% (G:1.14% B:0.00%) 30.78% (G:0.59% B:0.02%)  

4.  1ply  13/8 10/7  eq: +0.129 (0.328) 
 Player: Opponent:  63.98% (G:0.39% B:0.00%) 36.02% (G:1.30% B:0.00%)  

5.  1ply  13/8 4/1  eq: 0.136 (0.593) 
 Player: Opponent:  53.49% (G:0.43% B:0.00%) 46.51% (G:3.82% B:0.01%)  



61: 19/12* 


1.  3ply  19/12*  eq: +0.199 
 Player: Opponent:  50.11% (G:1.05% B:0.02%) 49.89% (G:2.91% B:0.01%)  

2.  1ply  7/1 5/4  eq: 0.678 (0.877) 
 Player: Opponent:  13.46% (G:0.07% B:0.00%) 86.54% (G:0.25% B:0.00%)  

3.  1ply  7/1 6/5  eq: 0.679 (0.879) 
 Player: Opponent:  13.40% (G:0.07% B:0.00%) 86.60% (G:0.25% B:0.00%)  

4.  1ply  7/1 2/1  eq: 0.686 (0.885) 
 Player: Opponent:  13.13% (G:0.07% B:0.00%) 86.87% (G:0.24% B:0.00%)  

5.  1ply  7/1 4/3  eq: 0.687 (0.886) 
 Player: Opponent:  13.10% (G:0.07% B:0.00%) 86.90% (G:0.25% B:0.00%)  



43: Bar/21* 4/1 


1.  3ply  Bar/21* 4/1  eq: 0.177 
 Player: Opponent:  51.00% (G:2.87% B:0.01%) 49.00% (G:6.82% B:0.14%)  



21: Cannot Move 


1.  3ply  Cannot Move  eq: 0.404 
 Player: Opponent:  25.61% (G:1.15% B:0.03%) 74.39% (G:2.86% B:0.00%)  



21: 4/1 


1.  4ply  4/1  eq: +0.230 
 Player: Opponent:  66.50% (G:4.20% B:0.01%) 33.50% (G:0.66% B:0.02%)  

2.  4ply  4/2 3/2  eq: +0.183 (0.047) 
 Player: Opponent:  64.73% (G:3.90% B:0.01%) 35.27% (G:0.98% B:0.03%)  

3.  1ply  3/1 2/1  eq: 0.204 (0.434) 
 Player: Opponent:  50.70% (G:2.41% B:0.00%) 49.30% (G:7.09% B:0.15%)  

4.  1ply  3/2 3/1  eq: 0.745 (0.975) 
 Player: Opponent:  31.73% (G:0.98% B:0.00%) 68.27% (G:21.09% B:0.57%)  



52: Bar/20 6/4* 


1.  3ply  Bar/20 6/4*  eq: +0.011 
 Player: Opponent:  44.47% (G:0.90% B:0.03%) 55.53% (G:6.57% B:0.01%)  

2.  2ply  Bar/18  eq: 0.274 (0.285) 
 Player: Opponent:  30.50% (G:0.61% B:0.00%) 69.50% (G:1.32% B:0.00%)  

3.  1ply  Bar/20 12/10  eq: 0.353 (0.364) 
 Player: Opponent:  27.97% (G:0.66% B:0.01%) 72.03% (G:3.24% B:0.00%)  

4.  1ply  Bar/20 7/5  eq: 0.382 (0.393) 
 Player: Opponent:  27.56% (G:0.49% B:0.01%) 72.44% (G:5.25% B:0.00%)  

5.  1ply  Bar/20 5/3  eq: 0.520 (0.531) 
 Player: Opponent:  23.05% (G:0.37% B:0.01%) 76.95% (G:8.23% B:0.00%)  



64: Bar/21* 21/15 


1.  3ply  Bar/21* 21/15  eq: +0.564 
 Player: Opponent:  76.44% (G:14.16% B:0.02%) 23.56% (G:0.95% B:0.03%)  



62: Bar/19 12/10* 


1.  3ply  Bar/19 12/10*  eq: 0.003 
 Player: Opponent:  42.69% (G:0.75% B:0.03%) 57.31% (G:4.11% B:0.00%)  

2.  1ply  Bar/19 7/5  eq: 0.689 (0.686) 
 Player: Opponent:  18.95% (G:0.53% B:0.00%) 81.05% (G:15.55% B:0.00%)  

3.  1ply  Bar/17  eq: 0.754 (0.751) 
 Player: Opponent:  16.55% (G:0.57% B:0.01%) 83.45% (G:16.25% B:0.00%)  

4.  1ply  Bar/19 20/18  eq: 0.780 (0.777) 
 Player: Opponent:  15.98% (G:0.50% B:0.01%) 84.02% (G:17.43% B:0.00%)  

5.  1ply  Bar/19 6/4  eq: 0.827 (0.824) 
 Player: Opponent:  15.65% (G:0.39% B:0.01%) 84.35% (G:21.40% B:0.00%)  



52: Cannot Move 


1.  3ply  Cannot Move  eq: 0.142 
 Player: Opponent:  51.94% (G:2.67% B:0.00%) 48.06% (G:1.15% B:0.02%)  



32: 20/15 


1.  XG Roller++  20/17 7/5  eq: +0.099 
 Player: Opponent:  46.18% (G:0.90% B:0.01%) 53.82% (G:4.89% B:0.01%)  

2.  XG Roller++  19/14  eq: +0.090 (0.008) 
 Player: Opponent:  45.63% (G:0.88% B:0.01%) 54.37% (G:4.14% B:0.01%)  

3.  XG Roller++  20/15  eq: +0.084 (0.015) 
 Player: Opponent:  45.52% (G:0.89% B:0.01%) 54.48% (G:4.32% B:0.01%)  

4.  XG Roller++  19/16 7/5  eq: +0.072 (0.026) 
 Player: Opponent:  45.37% (G:0.88% B:0.01%) 54.63% (G:5.34% B:0.01%)  

5.  4ply  20/18 19/16  eq: +0.035 (0.064) 
 Player: Opponent:  44.06% (G:1.00% B:0.01%) 55.94% (G:3.94% B:0.00%)  



65: Cannot Move 


1.  3ply  Cannot Move  eq: 0.224 
 Player: Opponent:  49.05% (G:1.80% B:0.00%) 50.95% (G:1.01% B:0.02%)  



51: 19/18 15/10 


1.  Rollout^{1}  15/10 7/6  eq: +0.229 
 Player: Opponent:  50.19% (G:0.77% B:0.01%) 49.81% (G:2.26% B:0.00%)  Conf.: ± 0.005 (+0.224...+0.233)  [100.0%] Duration: 50.4 seconds 

2.  Rollout^{1}  19/18 15/10  eq: +0.187 (0.041) 
 Player: Opponent:  48.81% (G:0.75% B:0.01%) 51.19% (G:2.19% B:0.01%)  Conf.: ± 0.004 (+0.183...+0.192)  [0.0%] Duration: 47.0 seconds 

3.  XG Roller++  19/14 7/6  eq: +0.206 (0.023) 
 Player: Opponent:  50.02% (G:0.82% B:0.01%) 49.98% (G:3.68% B:0.01%)  

4.  XG Roller++  10/5 7/6  eq: +0.195 (0.034) 
 Player: Opponent:  49.17% (G:0.81% B:0.01%) 50.83% (G:2.29% B:0.00%)  

5.  4ply  19/14 2/1  eq: +0.125 (0.104) 
 Player: Opponent:  47.21% (G:0.80% B:0.01%) 52.79% (G:2.69% B:0.00%)  


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



11: Cannot Move 


1.  3ply  Cannot Move  eq: 0.344 
 Player: Opponent:  44.54% (G:0.97% B:0.00%) 55.46% (G:0.95% B:0.01%)  



44: 18/10 7/3(2) 


1.  XG Roller++  18/10 7/3(2)  eq: +0.764 
 Player: Opponent:  68.94% (G:1.04% B:0.01%) 31.06% (G:0.40% B:0.00%)  

2.  XG Roller++  18/14 10/6 7/3(2)  eq: +0.753 (0.011) 
 Player: Opponent:  70.41% (G:1.01% B:0.01%) 29.59% (G:0.34% B:0.00%)  

3.  4ply  10/6(2) 7/3(2)  eq: +0.699 (0.066) 
 Player: Opponent:  67.78% (G:0.80% B:0.01%) 32.22% (G:0.07% B:0.00%)  

4.  2ply  10/2 7/3(2)  eq: +0.607 (0.157) 
 Player: Opponent:  64.27% (G:0.77% B:0.01%) 35.73% (G:0.38% B:0.00%)  

5.  1ply  18/6 10/6  eq: +0.336 (0.428) 
 Player: Opponent:  55.36% (G:0.83% B:0.04%) 44.64% (G:0.27% B:0.00%)  



52: Cannot Move 


1.  3ply  Cannot Move  eq: 0.983 
 Player: Opponent:  23.74% (G:0.24% B:0.00%) 76.26% (G:1.19% B:0.01%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
76.64% (G:1.07% B:0.01%) 
76.81% (G:1.19% B:0.01%) 
Opponent Winning Chances: 
23.36% (G:0.18% B:0.00%) 
23.19% (G:0.20% B:0.00%) 
Cubeless Equities 
+0.542 
+1.077 
Cubeful Equities 
No redouble:  +0.809 (0.191)  
Redouble/Take:  +1.005 (+0.005)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


62: 10/2 


1.  3ply  10/2  eq: +0.812 
 Player: Opponent:  74.44% (G:0.69% B:0.02%) 25.56% (G:0.09% B:0.00%)  

2.  2ply  10/4 6/4  eq: +0.589 (0.223) 
 Player: Opponent:  69.11% (G:1.37% B:0.01%) 30.89% (G:0.53% B:0.00%)  

3.  2ply  10/8 10/4  eq: +0.588 (0.224) 
 Player: Opponent:  71.25% (G:1.30% B:0.01%) 28.75% (G:2.57% B:0.00%)  

4.  1ply  10/4 3/1  eq: +0.196 (0.616) 
 Player: Opponent:  50.25% (G:0.66% B:0.02%) 49.75% (G:2.24% B:0.00%)  

5.  1ply  10/4 5/3  eq: +0.168 (0.644) 
 Player: Opponent:  49.16% (G:0.81% B:0.02%) 50.84% (G:2.49% B:0.01%)  



62: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  18.77% (G:0.04% B:0.00%) 81.23% (G:0.87% B:0.01%)  



Double/Pass 


Analyzed in Rollout 
No redouble 
Redouble/Take 
Player Winning Chances: 
81.18% (G:0.91% B:0.01%) 
81.18% (G:0.81% B:0.01%) 
Opponent Winning Chances: 
18.82% (G:0.03% B:0.00%) 
18.82% (G:0.02% B:0.00%) 
Cubeless Equities 
+0.633 
+1.251 
Cubeful Equities 
No redouble:  +0.859 (0.141)  ±0.001 (+0.858..+0.861) 
Redouble/Take:  +1.194 (+0.194)  ±0.003 (+1.191..+1.197) 
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 
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: 11.4 seconds 


Wins 4pts. 



