54: 24/20 13/8 


1.  Book^{1}  24/20 13/8  eq: 0.309 
 Player: Opponent:  50.48% (G:19.42% B:3.27%) 49.52% (G:13.57% B:0.91%)  Conf.: ± 0.007 (0.317...0.302)  [100.0%] 

2.  Book^{2}  24/15  eq: 0.343 (0.033) 
 Player: Opponent:  50.41% (G:14.56% B:1.93%) 49.59% (G:14.09% B:1.11%)  Conf.: ± 0.007 (0.350...0.336)  [0.0%] 

3.  Book^{1}  13/9 13/8  eq: 0.345 (0.035) 
 Player: Opponent:  49.91% (G:20.92% B:3.31%) 50.09% (G:14.08% B:1.51%)  Conf.: ± 0.008 (0.352...0.337)  [0.0%] 

4.  Book^{1}  13/4  eq: 0.418 (0.108) 
 Player: Opponent:  48.13% (G:19.46% B:2.87%) 51.87% (G:14.28% B:1.53%)  Conf.: ± 0.007 (0.425...0.410)  [0.0%] 

5.  Book^{1}  24/20 8/3  eq: 0.515 (0.206) 
 Player: Opponent:  45.96% (G:16.67% B:2.35%) 54.04% (G:15.58% B:1.52%)  Conf.: ± 0.007 (0.523...0.508)  [0.0%] 


^{1} Generated by GameSite 2000, Ltd on 26/02/2011 using eXtreme Gammon 2.00 10368 Games rolled with Variance Reduction. Dice Seed: 38613390 Moves: 2ply, cube decisions: 3ply Red
^{2} Generated by Stick Rice on 18/01/2011 using eXtreme Gammon 1.21 15552 Games rolled with Variance Reduction. Dice Seed: 74138057 Moves and cube decisions: 3ply



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
49.23% (G:13.53% B:0.47%) 
49.13% (G:13.71% B:0.47%) 
Opponent Winning Chances: 
50.77% (G:13.96% B:0.77%) 
50.87% (G:14.47% B:0.85%) 
Cubeless Equities 
0.096 
+0.254 
Cubeful Equities 
No double:  +0.326  
Double/Take:  +0.254 (0.072)  
Double/Pass:  +1.000 (+0.674) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.8% 


21: 13/11 6/5* 


1.  3ply  13/11 6/5*  eq: +0.284 
 Player: Opponent:  48.93% (G:13.02% B:0.54%) 51.07% (G:15.31% B:0.97%)  

2.  3ply  24/22 6/5*  eq: +0.182 (0.102) 
 Player: Opponent:  47.39% (G:11.69% B:0.46%) 52.61% (G:14.92% B:0.65%)  

3.  3ply  6/5* 5/3  eq: +0.112 (0.172) 
 Player: Opponent:  45.97% (G:11.44% B:0.46%) 54.03% (G:15.72% B:0.86%)  

4.  3ply  8/5*  eq: +0.111 (0.173) 
 Player: Opponent:  45.46% (G:11.68% B:0.44%) 54.54% (G:15.94% B:0.89%)  

5.  3ply  6/4 6/5*  eq: +0.103 (0.181) 
 Player: Opponent:  45.95% (G:10.96% B:0.45%) 54.05% (G:17.85% B:1.34%)  



32: Bar/20* 


1.  3ply  Bar/20*  eq: 0.123 
 Player: Opponent:  53.40% (G:16.75% B:1.15%) 46.60% (G:11.04% B:0.41%)  

2.  1ply  Bar/22 24/22  eq: 0.425 (0.302) 
 Player: Opponent:  46.02% (G:11.55% B:0.49%) 53.98% (G:12.81% B:0.37%)  

3.  1ply  Bar/23 24/21  eq: 0.611 (0.488) 
 Player: Opponent:  45.02% (G:11.28% B:0.62%) 54.98% (G:16.08% B:0.58%)  

4.  1ply  Bar/22 13/11  eq: 0.648 (0.525) 
 Player: Opponent:  44.59% (G:11.75% B:0.74%) 55.41% (G:16.50% B:0.79%)  

5.  1ply  Bar/23 13/10  eq: 0.660 (0.537) 
 Player: Opponent:  44.43% (G:12.16% B:0.72%) 55.57% (G:16.62% B:0.83%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
47.07% (G:11.97% B:0.45%) 
47.04% (G:12.02% B:0.45%) 
Opponent Winning Chances: 
52.93% (G:17.86% B:1.36%) 
52.96% (G:18.00% B:1.38%) 
Cubeless Equities 
0.211 
+0.090 
Cubeful Equities 
No double:  +0.188  
Double/Take:  +0.090 (0.099)  
Double/Pass:  +1.000 (+0.812) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.8% 


43: Bar/21 8/5* 


1.  4ply  Bar/21 8/5*  eq: +0.144 
 Player: Opponent:  46.49% (G:11.64% B:0.47%) 53.51% (G:18.29% B:1.52%)  

2.  4ply  Bar/21 24/21  eq: +0.073 (0.071) 
 Player: Opponent:  45.46% (G:10.12% B:0.34%) 54.54% (G:15.07% B:0.55%)  

3.  3ply  Bar/22 13/9  eq: 0.040 (0.184) 
 Player: Opponent:  43.11% (G:10.18% B:0.46%) 56.89% (G:20.66% B:1.85%)  

4.  3ply  Bar/21 11/8  eq: 0.045 (0.189) 
 Player: Opponent:  42.77% (G:9.28% B:0.32%) 57.23% (G:16.05% B:0.84%)  

5.  2ply  Bar/18  eq: 0.050 (0.194) 
 Player: Opponent:  43.23% (G:8.93% B:0.32%) 56.77% (G:18.50% B:1.29%)  



64: Bar/15 


1.  XG Roller++  Bar/21 24/18  eq: 0.420 (+0.003) 
 Player: Opponent:  49.29% (G:14.22% B:1.02%) 50.71% (G:15.55% B:0.56%)  

2.  XG Roller++  Bar/15  eq: 0.424 
 Player: Opponent:  49.75% (G:14.43% B:0.93%) 50.25% (G:15.24% B:0.57%)  

3.  3ply  Bar/21 13/7  eq: 0.453 (0.030) 
 Player: Opponent:  47.76% (G:14.71% B:1.13%) 52.24% (G:15.19% B:0.81%)  

4.  2ply  Bar/21 8/2  eq: 0.589 (0.166) 
 Player: Opponent:  45.57% (G:14.07% B:0.94%) 54.43% (G:16.12% B:0.90%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
50.30% (G:15.48% B:0.57%) 
50.36% (G:15.76% B:0.58%) 
Opponent Winning Chances: 
49.70% (G:14.71% B:1.04%) 
49.64% (G:15.18% B:1.16%) 
Cubeless Equities 
0.067 
+0.396 
Cubeful Equities 
No double:  +0.435  
Double/Take:  +0.396 (0.038)  
Double/Pass:  +1.000 (+0.565) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.0% 


21: 13/11 6/5 


1.  4ply  13/11 6/5  eq: +0.316 
 Player: Opponent:  49.56% (G:13.32% B:0.44%) 50.44% (G:13.96% B:0.76%)  

2.  4ply  11/9 6/5  eq: +0.268 (0.048) 
 Player: Opponent:  48.54% (G:12.97% B:0.44%) 51.46% (G:14.33% B:0.86%)  

3.  3ply  13/10*  eq: +0.197 (0.119) 
 Player: Opponent:  47.69% (G:12.37% B:0.58%) 52.31% (G:18.79% B:1.74%)  

4.  3ply  24/22 6/5  eq: +0.193 (0.122) 
 Player: Opponent:  47.80% (G:12.46% B:0.45%) 52.20% (G:15.53% B:0.76%)  

5.  3ply  6/5 6/4  eq: +0.153 (0.163) 
 Player: Opponent:  47.52% (G:11.72% B:0.56%) 52.48% (G:19.00% B:1.68%)  



63: 24/15 


1.  3ply  24/15  eq: 0.011 
 Player: Opponent:  57.32% (G:12.20% B:0.46%) 42.68% (G:11.01% B:0.27%)  

2.  1ply  15/6  eq: 0.440 (0.429) 
 Player: Opponent:  47.24% (G:12.81% B:0.49%) 52.76% (G:14.36% B:0.40%)  

3.  1ply  24/21 15/9  eq: 0.581 (0.570) 
 Player: Opponent:  45.40% (G:12.17% B:0.62%) 54.60% (G:15.76% B:0.68%)  

4.  1ply  15/9 6/3  eq: 0.686 (0.675) 
 Player: Opponent:  43.33% (G:11.08% B:0.60%) 56.67% (G:16.12% B:0.91%)  

5.  1ply  15/9 13/10  eq: 0.700 (0.689) 
 Player: Opponent:  42.69% (G:11.48% B:0.65%) 57.31% (G:15.79% B:0.88%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
42.29% (G:10.64% B:0.33%) 
42.21% (G:10.90% B:0.36%) 
Opponent Winning Chances: 
57.71% (G:11.93% B:0.43%) 
57.79% (G:13.15% B:0.56%) 
Cubeless Equities 
0.232 
0.169 
Cubeful Equities 
No double:  0.008  
Double/Take:  0.169 (0.161)  
Double/Pass:  +1.000 (+1.008) 

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


64: 13/7 8/4 


1.  XG Roller++  13/7 11/7  eq: +0.034 (+0.014) 
 Player: Opponent:  41.89% (G:10.89% B:0.29%) 58.11% (G:13.06% B:0.67%)  

2.  XG Roller++  13/7 8/4  eq: +0.020 
 Player: Opponent:  41.26% (G:11.53% B:0.28%) 58.74% (G:13.57% B:0.86%)  

3.  4ply  11/7 11/5  eq: 0.021 (0.042) 
 Player: Opponent:  41.23% (G:10.77% B:0.27%) 58.77% (G:12.91% B:0.65%)  

4.  4ply  11/5 8/4  eq: 0.026 (0.046) 
 Player: Opponent:  40.86% (G:11.65% B:0.39%) 59.14% (G:15.85% B:1.17%)  

5.  3ply  24/20 13/7  eq: 0.063 (0.083) 
 Player: Opponent:  41.22% (G:10.08% B:0.33%) 58.78% (G:13.52% B:0.56%)  



53: 8/3 6/3 


1.  3ply  8/3 6/3  eq: +0.068 
 Player: Opponent:  59.25% (G:12.77% B:0.72%) 40.75% (G:10.27% B:0.23%)  

2.  2ply  13/8 6/3  eq: 0.199 (0.267) 
 Player: Opponent:  53.71% (G:11.75% B:0.54%) 46.29% (G:14.30% B:0.41%)  

3.  2ply  15/10 13/10  eq: 0.236 (0.304) 
 Player: Opponent:  52.34% (G:12.98% B:1.01%) 47.66% (G:14.19% B:0.40%)  

4.  1ply  13/10 13/8  eq: 0.210 (0.279) 
 Player: Opponent:  53.22% (G:13.52% B:0.77%) 46.78% (G:14.52% B:0.56%)  

5.  1ply  13/5  eq: 0.271 (0.340) 
 Player: Opponent:  51.76% (G:12.60% B:0.79%) 48.24% (G:14.96% B:0.65%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
40.77% (G:10.10% B:0.31%) 
41.05% (G:10.53% B:0.32%) 
Opponent Winning Chances: 
59.23% (G:12.29% B:0.64%) 
58.95% (G:13.31% B:0.71%) 
Cubeless Equities 
0.273 
0.235 
Cubeful Equities 
No double:  0.069  
Double/Take:  0.235 (0.167)  
Double/Pass:  +1.000 (+1.069) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.9% 


42: 7/3 6/4 


1.  XG Roller++  24/20 6/4  eq: 0.012 (+0.002) 
 Player: Opponent:  41.04% (G:10.92% B:0.30%) 58.96% (G:16.34% B:1.05%)  

2.  XG Roller++  11/7 6/4  eq: 0.014 
 Player: Opponent:  41.39% (G:10.78% B:0.30%) 58.61% (G:15.09% B:0.97%)  

3.  XG Roller++  7/3 6/4  eq: 0.025 (0.011) 
 Player: Opponent:  40.53% (G:11.24% B:0.26%) 59.47% (G:15.13% B:1.01%)  

4.  4ply  8/4 7/5  eq: 0.097 (0.083) 
 Player: Opponent:  39.13% (G:10.56% B:0.23%) 60.87% (G:14.39% B:0.83%)  

5.  4ply  11/9 11/7  eq: 0.100 (0.085) 
 Player: Opponent:  39.44% (G:10.88% B:0.33%) 60.56% (G:17.45% B:1.54%)  



32: 13/8 


1.  3ply  13/8  eq: 0.023 
 Player: Opponent:  57.58% (G:11.45% B:0.59%) 42.42% (G:11.22% B:0.21%)  

2.  3ply  13/11 6/3  eq: 0.162 (0.139) 
 Player: Opponent:  54.46% (G:12.29% B:0.78%) 45.54% (G:12.96% B:0.27%)  

3.  2ply  13/10 6/4*  eq: 0.162 (0.138) 
 Player: Opponent:  55.26% (G:17.52% B:1.37%) 44.74% (G:15.97% B:0.67%)  

4.  2ply  8/3  eq: 0.175 (0.151) 
 Player: Opponent:  53.74% (G:11.23% B:0.59%) 46.26% (G:13.31% B:0.42%)  

5.  2ply  13/10 8/6  eq: 0.281 (0.257) 
 Player: Opponent:  52.08% (G:13.76% B:0.86%) 47.92% (G:15.53% B:0.47%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
42.43% (G:11.22% B:0.32%) 
42.53% (G:11.76% B:0.35%) 
Opponent Winning Chances: 
57.57% (G:11.25% B:0.52%) 
57.47% (G:12.79% B:0.60%) 
Cubeless Equities 
0.215 
0.118 
Cubeful Equities 
No double:  +0.021  
Double/Take:  0.118 (0.139)  
Double/Pass:  +1.000 (+0.979) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.1% 


53: 24/21 8/3 


1.  3ply  24/21 8/3  eq: +0.139 
 Player: Opponent:  44.63% (G:12.26% B:0.31%) 55.37% (G:8.21% B:0.21%)  

2.  3ply  11/3  eq: +0.047 (0.093) 
 Player: Opponent:  42.28% (G:12.09% B:0.34%) 57.72% (G:13.32% B:0.81%)  

3.  3ply  24/21 11/6  eq: +0.043 (0.097) 
 Player: Opponent:  42.81% (G:11.58% B:0.34%) 57.19% (G:10.44% B:0.38%)  

4.  3ply  21/18 8/3  eq: +0.018 (0.121) 
 Player: Opponent:  42.35% (G:11.63% B:0.37%) 57.65% (G:13.22% B:0.67%)  

5.  2ply  11/8 11/6  eq: 0.084 (0.223) 
 Player: Opponent:  39.95% (G:10.79% B:0.25%) 60.05% (G:14.31% B:0.92%)  



44: 15/7(2) 


1.  3ply  15/7(2)  eq: +0.501 
 Player: Opponent:  69.97% (G:8.03% B:0.11%) 30.03% (G:4.09% B:0.06%)  

2.  2ply  15/11(2) 6/2(2)  eq: +0.227 (0.274) 
 Player: Opponent:  62.80% (G:7.93% B:0.18%) 37.20% (G:7.18% B:0.18%)  

3.  1ply  15/11 15/3  eq: 0.077 (0.578) 
 Player: Opponent:  55.20% (G:8.11% B:0.15%) 44.80% (G:10.50% B:0.23%)  

4.  1ply  13/5(2)  eq: 0.093 (0.594) 
 Player: Opponent:  54.83% (G:10.96% B:0.32%) 45.17% (G:11.23% B:0.36%)  

5.  1ply  15/11(2) 13/9(2)  eq: 0.107 (0.608) 
 Player: Opponent:  54.42% (G:7.96% B:0.18%) 45.58% (G:10.75% B:0.26%)  



42: 11/9 11/7 


1.  XG Roller++  11/9 11/7  eq: 0.488 (+0.014) 
 Player: Opponent:  30.29% (G:4.50% B:0.09%) 69.71% (G:10.10% B:0.22%)  

2.  XG Roller++  11/5  eq: 0.491 (+0.011) 
 Player: Opponent:  30.02% (G:4.56% B:0.08%) 69.98% (G:10.08% B:0.22%)  

3.  XG Roller++  13/7  eq: 0.502 
 Player: Opponent:  30.19% (G:4.39% B:0.09%) 69.81% (G:11.48% B:0.29%)  

4.  XG Roller++  13/9 11/9  eq: 0.516 (0.015) 
 Player: Opponent:  29.63% (G:4.17% B:0.08%) 70.37% (G:11.10% B:0.28%)  

5.  3ply  11/7 4/2  eq: 0.560 (0.059) 
 Player: Opponent:  28.81% (G:4.01% B:0.10%) 71.19% (G:10.32% B:0.28%)  



64: 8/2 6/2 


1.  3ply  8/2 6/2  eq: +0.572 
 Player: Opponent:  71.85% (G:7.27% B:0.08%) 28.15% (G:3.02% B:0.05%)  

2.  3ply  13/3  eq: +0.427 (0.145) 
 Player: Opponent:  67.88% (G:8.69% B:0.12%) 32.12% (G:4.67% B:0.08%)  

3.  1ply  13/7 6/2  eq: +0.030 (0.543) 
 Player: Opponent:  58.10% (G:8.19% B:0.16%) 41.90% (G:9.75% B:0.20%)  

4.  1ply  7/3 7/1*  eq: 0.222 (0.794) 
 Player: Opponent:  51.89% (G:8.44% B:0.16%) 48.11% (G:12.43% B:0.22%)  

5.  1ply  13/9 8/2  eq: 0.709 (1.282) 
 Player: Opponent:  46.45% (G:8.80% B:0.24%) 53.55% (G:19.77% B:0.63%)  



42: 9/3 


1.  XG Roller++  9/3  eq: 0.525 (+0.017) 
 Player: Opponent:  29.42% (G:3.86% B:0.07%) 70.58% (G:10.72% B:0.18%)  

2.  XG Roller++  13/7  eq: 0.539 (+0.003) 
 Player: Opponent:  29.35% (G:3.60% B:0.08%) 70.65% (G:10.37% B:0.18%)  

3.  XG Roller++  24/20 9/7  eq: 0.542 
 Player: Opponent:  28.84% (G:3.48% B:0.08%) 71.16% (G:8.87% B:0.09%)  

4.  XG Roller++  9/5 7/5  eq: 0.546 (0.005) 
 Player: Opponent:  28.74% (G:3.66% B:0.06%) 71.26% (G:10.48% B:0.19%)  

5.  XG Roller++  24/20 7/5  eq: 0.556 (0.015) 
 Player: Opponent:  28.28% (G:3.39% B:0.07%) 71.72% (G:9.09% B:0.11%)  



42: 13/7 


1.  3ply  13/7  eq: +0.620 
 Player: Opponent:  73.35% (G:7.55% B:0.08%) 26.65% (G:2.66% B:0.05%)  

2.  3ply  8/2  eq: +0.490 (0.130) 
 Player: Opponent:  69.39% (G:8.08% B:0.08%) 30.61% (G:3.71% B:0.07%)  

3.  1ply  13/11 6/2  eq: +0.235 (0.385) 
 Player: Opponent:  62.85% (G:9.34% B:0.14%) 37.15% (G:7.16% B:0.17%)  

4.  1ply  13/9 8/6  eq: +0.049 (0.572) 
 Player: Opponent:  58.73% (G:10.66% B:0.21%) 41.27% (G:10.25% B:0.23%)  

5.  1ply  7/1*  eq: 0.378 (0.998) 
 Player: Opponent:  51.17% (G:10.87% B:0.21%) 48.83% (G:16.87% B:0.59%)  



53: 13/10 13/8 


1.  XG Roller++  24/16  eq: 0.591 (+0.010) 
 Player: Opponent:  27.15% (G:2.74% B:0.05%) 72.85% (G:6.60% B:0.09%)  

2.  XG Roller++  24/21 7/2  eq: 0.601 
 Player: Opponent:  26.92% (G:2.60% B:0.04%) 73.08% (G:6.03% B:0.08%)  

3.  XG Roller++  13/10 7/2  eq: 0.609 (0.008) 
 Player: Opponent:  27.23% (G:3.25% B:0.05%) 72.77% (G:12.51% B:0.33%)  

4.  XG Roller++  13/10 13/8  eq: 0.613 (0.012) 
 Player: Opponent:  26.52% (G:3.04% B:0.05%) 73.48% (G:9.01% B:0.22%)  

5.  3ply  13/5  eq: 0.660 (0.059) 
 Player: Opponent:  26.67% (G:2.78% B:0.09%) 73.33% (G:11.27% B:0.25%)  



42: 13/7 


1.  XG Roller++  8/6 7/3  eq: +0.595 (+0.003) 
 Player: Opponent:  71.19% (G:8.52% B:0.22%) 28.81% (G:3.22% B:0.08%)  

2.  XG Roller++  8/2  eq: +0.592 
 Player: Opponent:  70.92% (G:8.71% B:0.23%) 29.08% (G:3.20% B:0.07%)  

3.  XG Roller++  13/7  eq: +0.551 (0.041) 
 Player: Opponent:  71.00% (G:8.45% B:0.35%) 29.00% (G:3.72% B:0.08%)  

4.  1ply  13/11 7/3  eq: +0.199 (0.393) 
 Player: Opponent:  61.98% (G:7.74% B:0.14%) 38.02% (G:7.25% B:0.25%)  

5.  1ply  7/1*  eq: +0.196 (0.396) 
 Player: Opponent:  62.00% (G:8.92% B:0.17%) 38.00% (G:7.72% B:0.11%)  



21: 10/8 3/2 


1.  XG Roller++  10/8 3/2  eq: 0.706 (+0.010) 
 Player: Opponent:  23.83% (G:2.27% B:0.03%) 76.17% (G:9.20% B:0.19%)  

2.  XG Roller++  8/6 3/2  eq: 0.716 
 Player: Opponent:  23.52% (G:2.24% B:0.03%) 76.48% (G:9.15% B:0.22%)  

3.  XG Roller++  4/2 3/2  eq: 0.716 (0.000) 
 Player: Opponent:  23.77% (G:2.26% B:0.03%) 76.23% (G:10.03% B:0.27%)  

4.  XG Roller++  7/5 3/2  eq: 0.719 (0.003) 
 Player: Opponent:  23.54% (G:2.25% B:0.03%) 76.46% (G:9.58% B:0.24%)  

5.  3ply  10/7  eq: 0.788 (0.072) 
 Player: Opponent:  23.03% (G:1.80% B:0.05%) 76.97% (G:7.49% B:0.11%)  



61: 13/6 


1.  3ply  13/6  eq: +0.810 
 Player: Opponent:  79.17% (G:6.62% B:0.05%) 20.83% (G:1.14% B:0.01%)  

2.  2ply  13/7 8/7  eq: +0.600 (0.211) 
 Player: Opponent:  72.54% (G:6.62% B:0.07%) 27.46% (G:2.38% B:0.06%)  

3.  2ply  8/2 7/6  eq: +0.531 (0.279) 
 Player: Opponent:  70.43% (G:8.19% B:0.19%) 29.57% (G:3.33% B:0.12%)  

4.  2ply  13/12 8/2  eq: +0.529 (0.282) 
 Player: Opponent:  70.83% (G:7.76% B:0.18%) 29.17% (G:3.35% B:0.11%)  

5.  1ply  13/12 7/1*  eq: +0.276 (0.534) 
 Player: Opponent:  64.23% (G:9.39% B:0.13%) 35.77% (G:7.25% B:0.19%)  



41: 7/2 


1.  XG Roller++  7/2  eq: 0.731 
 Player: Opponent:  23.29% (G:1.82% B:0.03%) 76.71% (G:10.39% B:0.11%)  

2.  XG Roller++  8/4 7/6  eq: 0.731 (0.001) 
 Player: Opponent:  23.23% (G:1.83% B:0.03%) 76.77% (G:10.61% B:0.13%)  

3.  XG Roller++  8/7 8/4  eq: 0.739 (0.008) 
 Player: Opponent:  22.89% (G:1.81% B:0.03%) 77.11% (G:10.36% B:0.11%)  

4.  XG Roller++  8/4 3/2  eq: 0.740 (0.010) 
 Player: Opponent:  22.94% (G:1.77% B:0.03%) 77.06% (G:10.68% B:0.13%)  

5.  3ply  8/3  eq: 0.832 (0.101) 
 Player: Opponent:  21.22% (G:1.47% B:0.04%) 78.78% (G:8.30% B:0.09%)  



44: 7/3(2) 6/2(2) 


1.  XG Roller++  7/3(4)  eq: +0.461 
 Player: Opponent:  66.52% (G:11.26% B:0.13%) 33.48% (G:3.11% B:0.09%)  

2.  XG Roller++  7/3(2) 6/2(2)  eq: +0.161 (0.300) 
 Player: Opponent:  59.11% (G:9.32% B:0.07%) 40.89% (G:6.89% B:0.20%)  

3.  1ply  6/2(4)  eq: +0.058 (0.404) 
 Player: Opponent:  56.40% (G:5.01% B:0.04%) 43.60% (G:5.44% B:0.01%)  

4.  1ply  7/3(3) 6/2  eq: 1.000 (1.461) 
 Player: Opponent:  32.96% (G:5.66% B:0.10%) 67.04% (G:13.84% B:0.10%)  

5.  1ply  7/3 6/2(3)  eq: 1.000 (1.461) 
 Player: Opponent:  28.45% (G:4.57% B:0.10%) 71.55% (G:18.92% B:0.11%)  



41: 8/7 8/4 


1.  XG Roller++  8/7 8/4  eq: 0.088 
 Player: Opponent:  42.27% (G:7.67% B:0.24%) 57.73% (G:10.11% B:0.09%)  

2.  XG Roller++  8/3  eq: 0.112 (0.024) 
 Player: Opponent:  41.56% (G:7.29% B:0.23%) 58.44% (G:10.17% B:0.09%)  

3.  3ply  8/4 2/1  eq: 0.260 (0.172) 
 Player: Opponent:  37.02% (G:6.01% B:0.16%) 62.98% (G:11.77% B:0.14%)  

4.  2ply  21/20 8/4  eq: 0.288 (0.200) 
 Player: Opponent:  37.90% (G:4.58% B:0.05%) 62.10% (G:17.96% B:0.51%)  

5.  2ply  8/7 5/1  eq: 0.292 (0.204) 
 Player: Opponent:  36.07% (G:5.54% B:0.10%) 63.93% (G:13.15% B:0.13%)  



64: 7/3 7/1* 


1.  3ply  7/3 7/1*  eq: 0.131 
 Player: Opponent:  48.39% (G:7.57% B:0.07%) 51.61% (G:8.41% B:0.15%)  

2.  1ply  8/2 7/3  eq: 1.000 (0.869) 
 Player: Opponent:  29.30% (G:5.68% B:0.10%) 70.70% (G:15.03% B:0.11%)  

3.  1ply  8/2 6/2  eq: 1.000 (0.869) 
 Player: Opponent:  26.44% (G:4.53% B:0.09%) 73.56% (G:16.56% B:0.08%)  

4.  1ply  7/1* 6/2  eq: 1.344 (1.213) 
 Player: Opponent:  18.85% (G:3.78% B:0.06%) 81.15% (G:56.56% B:3.48%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
51.66% (G:9.90% B:0.30%) 
52.07% (G:10.35% B:0.33%) 
Opponent Winning Chances: 
48.34% (G:8.25% B:0.05%) 
47.93% (G:10.72% B:0.06%) 
Cubeless Equities 
+0.003 
+0.236 
Cubeful Equities 
No double:  +0.137 (0.099)  
Double/Take:  +0.236  
Double/Pass:  +1.000 (+0.764) 

Best Cube action: Double / Take 


21: Bar/24* 7/5 


1.  XG Roller++  Bar/24* 7/5  eq: +0.981 
 Player: Opponent:  82.31% (G:18.64% B:0.49%) 17.69% (G:2.64% B:0.07%)  

2.  XG Roller++  Bar/24* 4/2  eq: +0.969 (0.011) 
 Player: Opponent:  82.24% (G:17.89% B:0.39%) 17.76% (G:4.30% B:0.12%)  

3.  1ply  Bar/24* 3/1  eq: +0.493 (0.488) 
 Player: Opponent:  59.42% (G:11.52% B:0.21%) 40.58% (G:17.71% B:0.47%)  

4.  1ply  Bar/24* 6/4  eq: +0.115 (0.866) 
 Player: Opponent:  49.69% (G:7.03% B:0.17%) 50.31% (G:15.10% B:0.34%)  

5.  1ply  Bar/24* 5/3  eq: +0.078 (0.903) 
 Player: Opponent:  49.13% (G:6.33% B:0.14%) 50.87% (G:16.13% B:0.37%)  



64: Cannot Move 


1.  3ply  Cannot Move  eq: 1.007 
 Player: Opponent:  13.79% (G:1.84% B:0.06%) 86.21% (G:15.96% B:0.31%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
85.00% (G:16.87% B:0.38%) 
85.06% (G:17.57% B:0.41%) 
Opponent Winning Chances: 
15.00% (G:2.01% B:0.05%) 
14.94% (G:2.21% B:0.04%) 
Cubeless Equities 
+0.824 
+1.984 
Cubeful Equities 
No double:  +1.012  
Double/Take:  +1.984 (+0.971)  
Double/Pass:  +1.000 (0.012) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 1.3% 


42: 24/18 


1.  XG Roller++  24/18  eq: +1.015 
 Player: Opponent:  85.06% (G:18.02% B:0.46%) 14.94% (G:1.93% B:0.04%)  

2.  XG Roller++  24/20 5/3  eq: +0.991 (0.024) 
 Player: Opponent:  83.40% (G:17.24% B:0.42%) 16.60% (G:2.12% B:0.05%)  

3.  XG Roller++  24/20 4/2  eq: +0.984 (0.030) 
 Player: Opponent:  83.06% (G:16.48% B:0.41%) 16.94% (G:2.10% B:0.04%)  

4.  3ply  5/1 4/2  eq: +0.919 (0.096) 
 Player: Opponent:  78.10% (G:15.77% B:0.36%) 21.90% (G:5.96% B:0.13%)  

5.  2ply  5/1 3/1  eq: +0.641 (0.373) 
 Player: Opponent:  67.00% (G:9.47% B:0.06%) 33.00% (G:8.68% B:0.21%)  



21: Bar/24 8/6 


1.  XG Roller++  Bar/24 8/6  eq: 1.000 
 Player: Opponent:  18.67% (G:3.99% B:0.07%) 81.33% (G:12.59% B:0.36%)  

2.  XG Roller++  Bar/24 3/1  eq: 1.007 (0.007) 
 Player: Opponent:  17.24% (G:3.73% B:0.04%) 82.76% (G:17.43% B:0.51%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
81.14% (G:12.79% B:0.40%) 
81.85% (G:12.88% B:0.36%) 
Opponent Winning Chances: 
18.86% (G:4.19% B:0.07%) 
18.15% (G:4.27% B:0.07%) 
Cubeless Equities 
+0.679 
+1.640 
Cubeful Equities 
No double:  +0.905 (0.095)  
Double/Take:  +1.640 (+0.640)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


63: 18/12 4/1* 


1.  XG Roller++  18/12 4/1*  eq: +0.934 
 Player: Opponent:  83.34% (G:12.36% B:0.28%) 16.66% (G:4.11% B:0.08%)  

2.  XG Roller++  21/15 4/1*  eq: +0.923 (0.011) 
 Player: Opponent:  82.92% (G:12.58% B:0.36%) 17.08% (G:5.99% B:0.17%)  

3.  3ply  21/12  eq: +0.820 (0.114) 
 Player: Opponent:  71.11% (G:15.91% B:0.81%) 28.89% (G:4.81% B:0.08%)  

4.  3ply  21/15 5/2  eq: +0.774 (0.160) 
 Player: Opponent:  70.37% (G:14.86% B:0.73%) 29.63% (G:4.70% B:0.08%)  

5.  3ply  21/15 18/15  eq: +0.758 (0.176) 
 Player: Opponent:  72.51% (G:12.66% B:0.42%) 27.49% (G:2.67% B:0.03%)  



61: Bar/24* 24/18 


1.  3ply  Bar/24* 24/18  eq: +0.045 
 Player: Opponent:  54.01% (G:14.31% B:0.15%) 45.99% (G:6.67% B:0.18%)  

2.  1ply  Bar/24* 8/2  eq: 1.000 (1.045) 
 Player: Opponent:  24.98% (G:6.70% B:0.10%) 75.02% (G:19.12% B:0.79%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
46.80% (G:6.90% B:0.20%) 
47.10% (G:7.05% B:0.23%) 
Opponent Winning Chances: 
53.20% (G:15.21% B:0.27%) 
52.90% (G:17.19% B:0.27%) 
Cubeless Equities 
0.225 
0.124 
Cubeful Equities 
No double:  0.076  
Double/Take:  0.124 (0.047)  
Double/Pass:  +1.000 (+1.076) 

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


43: Bar/21 5/2 


1.  XG Roller++  Bar/18  eq: 0.010 
 Player: Opponent:  46.38% (G:6.55% B:0.20%) 53.62% (G:13.04% B:0.13%)  

2.  XG Roller++  Bar/21 5/2  eq: 0.330 (0.320) 
 Player: Opponent:  36.92% (G:4.30% B:0.12%) 63.08% (G:12.20% B:0.10%)  

3.  2ply  Bar/21 12/9  eq: 0.331 (0.321) 
 Player: Opponent:  35.62% (G:4.48% B:0.14%) 64.38% (G:10.33% B:0.07%)  

4.  1ply  Bar/21 4/1  eq: 0.425 (0.415) 
 Player: Opponent:  33.24% (G:4.44% B:0.22%) 66.76% (G:14.00% B:0.14%)  

5.  1ply  Bar/21 6/3  eq: 0.458 (0.448) 
 Player: Opponent:  32.54% (G:3.70% B:0.19%) 67.46% (G:13.78% B:0.14%)  



32: 18/13* 


1.  3ply  18/13*  eq: +0.476 
 Player: Opponent:  67.62% (G:20.58% B:0.18%) 32.38% (G:3.79% B:0.07%)  

2.  1ply  18/15 3/1  eq: 0.359 (0.835) 
 Player: Opponent:  44.93% (G:6.58% B:0.08%) 55.07% (G:9.03% B:0.40%)  

3.  1ply  18/16 6/3  eq: 0.591 (1.067) 
 Player: Opponent:  39.62% (G:5.52% B:0.08%) 60.38% (G:10.22% B:0.39%)  

4.  1ply  6/1  eq: 0.833 (1.309) 
 Player: Opponent:  36.28% (G:6.84% B:0.08%) 63.72% (G:12.44% B:0.49%)  

5.  1ply  8/6 8/5  eq: 1.000 (1.476) 
 Player: Opponent:  28.22% (G:5.27% B:0.10%) 71.78% (G:17.98% B:1.06%)  



53: Bar/20 21/18 


1.  3ply  Bar/20 21/18  eq: 0.466 
 Player: Opponent:  34.57% (G:5.19% B:0.23%) 65.43% (G:22.17% B:0.21%)  

2.  1ply  Bar/20 4/1  eq: 0.687 (0.221) 
 Player: Opponent:  26.50% (G:3.31% B:0.14%) 73.50% (G:23.03% B:0.23%)  

3.  1ply  Bar/20 6/3  eq: 0.706 (0.240) 
 Player: Opponent:  25.94% (G:2.86% B:0.13%) 74.06% (G:22.14% B:0.23%)  

4.  1ply  Bar/20 5/2  eq: 0.716 (0.250) 
 Player: Opponent:  25.78% (G:2.67% B:0.12%) 74.22% (G:22.74% B:0.25%)  



22: 13/7* 7/5* 


1.  3ply  13/7* 7/5*  eq: +0.222 
 Player: Opponent:  57.17% (G:33.38% B:0.49%) 42.83% (G:6.03% B:0.11%)  

2.  1ply  8/6(2) 3/1(2)  eq: 0.299 (0.522) 
 Player: Opponent:  43.14% (G:9.29% B:0.08%) 56.86% (G:4.86% B:0.16%)  

3.  1ply  13/7* 8/6  eq: 0.673 (0.895) 
 Player: Opponent:  45.96% (G:19.02% B:0.21%) 54.04% (G:18.43% B:0.61%)  

4.  1ply  13/11 3/1(3)  eq: 0.718 (0.940) 
 Player: Opponent:  35.30% (G:7.56% B:0.10%) 64.70% (G:8.82% B:0.14%)  

5.  1ply  13/9 3/1(2)  eq: 0.730 (0.952) 
 Player: Opponent:  35.79% (G:7.76% B:0.12%) 64.21% (G:9.57% B:0.12%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
44.42% (G:6.28% B:0.15%) 
44.68% (G:6.69% B:0.21%) 
Opponent Winning Chances: 
55.58% (G:31.39% B:0.53%) 
55.32% (G:31.55% B:0.51%) 
Cubeless Equities 
0.518 
0.245 
Cubeful Equities 
No double:  0.270 (0.026)  
Double/Take:  0.245  
Double/Pass:  +1.000 (+1.245) 

Best Cube action: Double / Take 


64: Bar/21 


1.  3ply  Bar/21  eq: 0.880 
 Player: Opponent:  27.62% (G:2.66% B:0.08%) 72.38% (G:39.40% B:0.23%)  



66: 8/2(2) 6/Off(2) 


1.  3ply  8/2(2) 6/Off(2)  eq: 0.518 
 Player: Opponent:  31.09% (G:20.32% B:0.26%) 68.91% (G:0.00% B:0.00%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
69.09% (G:0.00% B:0.00%) 
69.68% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
30.91% (G:19.36% B:1.03%) 
30.32% (G:20.02% B:0.60%) 
Cubeless Equities 
+0.096 
+0.551 
Cubeful Equities 
No double:  +0.292 (0.259)  
Double/Take:  +0.551  
Double/Pass:  +1.000 (+0.449) 

Best Cube action: Double / Take 


Wins 1pt. 



