52: 13/11 13/8 


1.  Book^{1}  24/22 13/8  eq: 0.126 
 Player: Opponent:  49.99% (G:14.20% B:0.87%) 50.01% (G:13.69% B:0.52%)  Conf.: ± 0.008 (0.134...0.118)  [99.9%] 

2.  Book^{1}  13/11 13/8  eq: 0.144 (0.018) 
 Player: Opponent:  49.60% (G:15.46% B:1.09%) 50.40% (G:14.74% B:0.70%)  Conf.: ± 0.008 (0.152...0.136)  [0.1%] 

3.  Book^{2}  13/8 6/4  eq: 0.195 (0.069) 
 Player: Opponent:  48.73% (G:12.98% B:0.57%) 51.27% (G:13.80% B:0.65%)  

4.  Book^{2}  13/6  eq: 0.244 (0.118) 
 Player: Opponent:  47.53% (G:13.59% B:0.68%) 52.47% (G:14.85% B:0.65%)  

5.  2ply  13/11 8/3  eq: 0.320 (0.194) 
 Player: Opponent:  46.42% (G:13.08% B:0.64%) 53.58% (G:15.85% B:0.99%)  


^{1} Generated by Miran Tuhtan on 26/01/2013 using eXtreme Gammon 2.10 5184 Games rolled with Variance Reduction. Dice Seed: 1 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
50.18% (G:13.79% B:0.63%) 
50.21% (G:13.80% B:0.63%) 
Opponent Winning Chances: 
49.82% (G:14.27% B:0.73%) 
49.79% (G:14.31% B:0.74%) 
Cubeless Equities 
+0.020 
+0.113 
Cubeful Equities 
No double:  +0.183  
Double/Take:  +0.029 (0.154)  
Double/Pass:  +1.000 (+0.817) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.7% 


55: 13/3(2) 


1.  3ply  13/3(2)  eq: +0.228 
 Player: Opponent:  50.57% (G:16.20% B:0.93%) 49.43% (G:13.46% B:0.56%)  

2.  2ply  13/3 8/3(2)  eq: +0.030 (0.198) 
 Player: Opponent:  45.40% (G:14.38% B:0.82%) 54.60% (G:15.59% B:0.81%)  

3.  2ply  13/8(2) 13/3  eq: 0.044 (0.272) 
 Player: Opponent:  44.09% (G:12.81% B:0.57%) 55.91% (G:16.35% B:0.88%)  

4.  1ply  13/8(4)  eq: 0.149 (0.378) 
 Player: Opponent:  41.19% (G:11.38% B:0.55%) 58.81% (G:15.93% B:0.90%)  



51: 11/5 


1.  XG Roller++  13/8 6/5  eq: 0.488 
 Player: Opponent:  44.31% (G:11.95% B:0.51%) 55.69% (G:19.23% B:1.68%)  

2.  XG Roller++  11/5  eq: 0.510 (0.022) 
 Player: Opponent:  43.44% (G:11.48% B:0.49%) 56.56% (G:18.49% B:1.33%)  

3.  5ply  13/8 11/10  eq: 0.553 (0.065) 
 Player: Opponent:  42.02% (G:10.84% B:0.45%) 57.98% (G:17.75% B:1.14%)  

4.  3ply  13/7  eq: 0.584 (0.096) 
 Player: Opponent:  42.12% (G:10.88% B:0.46%) 57.88% (G:20.32% B:1.74%)  

5.  3ply  24/23 13/8  eq: 0.590 (0.102) 
 Player: Opponent:  42.27% (G:10.88% B:0.49%) 57.73% (G:21.78% B:1.05%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
56.47% (G:18.28% B:1.25%) 
56.55% (G:18.16% B:1.24%) 
Opponent Winning Chances: 
43.53% (G:11.37% B:0.43%) 
43.45% (G:11.36% B:0.42%) 
Cubeless Equities 
+0.226 
+0.554 
Cubeful Equities 
No double:  +0.503  
Double/Take:  +0.455 (0.048)  
Double/Pass:  +1.000 (+0.497) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.0% 


62: 24/16 


1.  4ply  24/16  eq: +0.265 
 Player: Opponent:  52.37% (G:14.46% B:0.76%) 47.63% (G:14.05% B:0.46%)  

2.  4ply  24/18 13/11  eq: +0.177 (0.089) 
 Player: Opponent:  49.90% (G:14.89% B:0.92%) 50.10% (G:16.19% B:0.67%)  

3.  3ply  13/5  eq: +0.164 (0.102) 
 Player: Opponent:  48.55% (G:16.37% B:0.97%) 51.45% (G:14.92% B:0.77%)  

4.  3ply  24/22 24/18  eq: +0.162 (0.103) 
 Player: Opponent:  50.06% (G:13.97% B:0.84%) 49.94% (G:15.34% B:0.43%)  

5.  3ply  13/7 6/4  eq: +0.157 (0.108) 
 Player: Opponent:  48.37% (G:16.61% B:1.06%) 51.63% (G:16.01% B:1.07%)  



65: 24/13 


1.  3ply  24/13  eq: 0.585 
 Player: Opponent:  40.60% (G:8.37% B:0.28%) 59.40% (G:17.78% B:0.53%)  

2.  2ply  13/2  eq: 0.868 (0.283) 
 Player: Opponent:  36.00% (G:7.96% B:0.22%) 64.00% (G:19.59% B:1.77%)  

3.  2ply  13/7 6/1*  eq: 0.889 (0.304) 
 Player: Opponent:  37.01% (G:8.99% B:0.29%) 62.99% (G:22.19% B:2.38%)  

4.  2ply  24/18 13/8  eq: 0.987 (0.402) 
 Player: Opponent:  36.30% (G:8.39% B:0.39%) 63.70% (G:26.00% B:1.34%)  

5.  1ply  24/18 6/1*  eq: 1.000 (0.415) 
 Player: Opponent:  36.43% (G:8.40% B:0.30%) 63.57% (G:26.50% B:1.69%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.63% (G:17.97% B:0.57%) 
59.36% (G:18.43% B:0.53%) 
Opponent Winning Chances: 
40.37% (G:8.52% B:0.30%) 
40.64% (G:8.91% B:0.36%) 
Cubeless Equities 
+0.304 
+0.707 
Cubeful Equities 
No double:  +0.603  
Double/Take:  +0.598 (0.006)  
Double/Pass:  +1.000 (+0.397) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 1.4% 


52: 16/11 13/11 


1.  5ply  16/11 13/11  eq: +0.324 
 Player: Opponent:  54.15% (G:13.50% B:0.34%) 45.85% (G:10.57% B:0.28%)  

2.  5ply  24/22 6/1*  eq: +0.323 (0.001) 
 Player: Opponent:  52.93% (G:16.17% B:0.48%) 47.07% (G:11.49% B:0.46%)  

3.  5ply  13/11 6/1*  eq: +0.298 (0.026) 
 Player: Opponent:  51.43% (G:18.04% B:0.49%) 48.57% (G:12.69% B:0.70%)  

4.  5ply  16/9  eq: +0.278 (0.046) 
 Player: Opponent:  52.85% (G:13.12% B:0.34%) 47.15% (G:10.21% B:0.26%)  

5.  4ply  24/22 16/11  eq: +0.279 (0.045) 
 Player: Opponent:  53.40% (G:12.21% B:0.34%) 46.60% (G:10.91% B:0.31%)  



21: 13/11 6/5 


1.  5ply  13/11 6/5  eq: 0.317 
 Player: Opponent:  46.61% (G:10.63% B:0.34%) 53.39% (G:13.81% B:0.30%)  

2.  5ply  8/5  eq: 0.389 (0.072) 
 Player: Opponent:  44.44% (G:9.81% B:0.30%) 55.56% (G:13.51% B:0.26%)  

3.  3ply  6/4 5/4  eq: 0.474 (0.157) 
 Player: Opponent:  42.80% (G:8.89% B:0.29%) 57.20% (G:15.06% B:0.26%)  

4.  3ply  6/5 6/4  eq: 0.476 (0.159) 
 Player: Opponent:  43.11% (G:9.68% B:0.37%) 56.89% (G:17.04% B:0.47%)  

5.  1ply  13/10  eq: 0.926 (0.609) 
 Player: Opponent:  35.86% (G:7.40% B:0.25%) 64.14% (G:22.61% B:0.94%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
53.39% (G:13.81% B:0.30%) 
53.37% (G:13.83% B:0.27%) 
Opponent Winning Chances: 
46.61% (G:10.63% B:0.34%) 
46.63% (G:10.39% B:0.34%) 
Cubeless Equities 
+0.116 
+0.320 
Cubeful Equities 
No double:  +0.317  
Double/Take:  +0.199 (0.118)  
Double/Pass:  +1.000 (+0.683) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.9% 


63: 11/5 8/5 


1.  3ply  11/5 8/5  eq: +0.375 
 Player: Opponent:  53.95% (G:16.13% B:0.30%) 46.05% (G:9.16% B:0.32%)  

2.  3ply  24/15  eq: +0.197 (0.177) 
 Player: Opponent:  52.52% (G:8.92% B:0.25%) 47.48% (G:11.14% B:0.22%)  

3.  1ply  24/18 6/3  eq: +0.020 (0.354) 
 Player: Opponent:  46.77% (G:10.17% B:0.32%) 53.23% (G:13.15% B:0.24%)  

4.  1ply  24/18 11/8  eq: 0.067 (0.441) 
 Player: Opponent:  44.49% (G:9.57% B:0.29%) 55.51% (G:14.22% B:0.31%)  

5.  1ply  24/21 11/5  eq: 0.077 (0.452) 
 Player: Opponent:  43.65% (G:11.95% B:0.31%) 56.35% (G:16.94% B:0.55%)  



64: 24/14* 


1.  3ply  24/14*  eq: +0.290 
 Player: Opponent:  63.82% (G:10.70% B:0.37%) 36.18% (G:8.74% B:0.16%)  

2.  1ply  13/7 11/7  eq: 0.180 (0.470) 
 Player: Opponent:  51.06% (G:9.84% B:0.38%) 48.94% (G:14.72% B:0.17%)  

3.  1ply  8/2 6/2  eq: 0.529 (0.819) 
 Player: Opponent:  42.03% (G:8.89% B:0.34%) 57.97% (G:18.65% B:0.38%)  

4.  1ply  13/9 11/5  eq: 0.623 (0.913) 
 Player: Opponent:  40.65% (G:8.52% B:0.28%) 59.35% (G:19.90% B:0.39%)  

5.  1ply  11/1*  eq: 0.764 (1.055) 
 Player: Opponent:  38.44% (G:8.42% B:0.29%) 61.56% (G:21.51% B:0.54%)  



44: Bar/21 8/4(2) 6/2 


1.  5ply  Bar/21 8/4(2) 6/2  eq: 0.204 
 Player: Opponent:  40.37% (G:5.96% B:0.09%) 59.63% (G:6.76% B:0.20%)  

2.  5ply  Bar/21 8/4 6/2(2)  eq: 0.212 (0.008) 
 Player: Opponent:  40.27% (G:6.04% B:0.09%) 59.73% (G:7.17% B:0.26%)  

3.  3ply  Bar/21 6/2(3)  eq: 0.284 (0.080) 
 Player: Opponent:  38.20% (G:4.97% B:0.07%) 61.80% (G:8.56% B:0.28%)  

4.  2ply  Bar/21 8/4(2) 5/1  eq: 0.354 (0.151) 
 Player: Opponent:  35.22% (G:6.78% B:0.10%) 64.78% (G:10.85% B:0.47%)  

5.  2ply  Bar/21 13/9(2) 6/2  eq: 0.379 (0.176) 
 Player: Opponent:  34.01% (G:5.45% B:0.10%) 65.99% (G:7.68% B:0.34%)  



65: 14/8 11/6 


1.  3ply  14/8 11/6  eq: +0.071 
 Player: Opponent:  56.30% (G:4.40% B:0.08%) 43.70% (G:5.18% B:0.06%)  

2.  2ply  14/8 13/8  eq: 0.158 (0.229) 
 Player: Opponent:  50.82% (G:5.02% B:0.15%) 49.18% (G:11.49% B:0.13%)  

3.  1ply  14/9 11/5  eq: 0.278 (0.349) 
 Player: Opponent:  49.13% (G:6.52% B:0.22%) 50.87% (G:15.74% B:0.18%)  

4.  1ply  14/8 6/1*  eq: 0.293 (0.364) 
 Player: Opponent:  49.76% (G:6.57% B:0.18%) 50.24% (G:17.87% B:0.29%)  

5.  1ply  13/8 11/5  eq: 0.313 (0.384) 
 Player: Opponent:  47.99% (G:6.15% B:0.19%) 52.01% (G:15.66% B:0.16%)  



63: 24/18 21/18 


1.  3ply  24/18 21/18  eq: +0.050 
 Player: Opponent:  48.96% (G:1.40% B:0.02%) 51.04% (G:1.04% B:0.02%)  

2.  2ply  21/15 6/3  eq: 0.158 (0.208) 
 Player: Opponent:  40.73% (G:6.87% B:0.08%) 59.27% (G:7.08% B:0.17%)  

3.  2ply  21/15 5/2  eq: 0.174 (0.224) 
 Player: Opponent:  40.26% (G:7.00% B:0.08%) 59.74% (G:7.46% B:0.18%)  

4.  2ply  24/15  eq: 0.177 (0.227) 
 Player: Opponent:  41.33% (G:3.96% B:0.08%) 58.67% (G:6.11% B:0.13%)  

5.  2ply  24/21 13/7  eq: 0.194 (0.245) 
 Player: Opponent:  40.22% (G:2.73% B:0.06%) 59.78% (G:2.80% B:0.05%)  



31: 8/4 


1.  XG Roller++  8/5 6/5  eq: 0.174 
 Player: Opponent:  46.49% (G:1.49% B:0.04%) 53.51% (G:1.56% B:0.02%)  

2.  XG Roller++  8/4  eq: 0.182 (0.008) 
 Player: Opponent:  46.35% (G:1.48% B:0.03%) 53.65% (G:1.75% B:0.02%)  

3.  5ply  6/5 6/3  eq: 0.190 (0.016) 
 Player: Opponent:  46.48% (G:1.53% B:0.03%) 53.52% (G:1.97% B:0.02%)  

4.  5ply  6/2  eq: 0.224 (0.049) 
 Player: Opponent:  45.54% (G:1.44% B:0.03%) 54.46% (G:2.32% B:0.02%)  

5.  3ply  6/3 5/4  eq: 0.281 (0.106) 
 Player: Opponent:  43.25% (G:1.06% B:0.02%) 56.75% (G:1.41% B:0.02%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
53.07% (G:1.77% B:0.02%) 
53.07% (G:1.69% B:0.02%) 
Opponent Winning Chances: 
46.93% (G:1.45% B:0.03%) 
46.93% (G:1.46% B:0.03%) 
Cubeless Equities 
+0.067 
+0.209 
Cubeful Equities 
No double:  +0.175  
Double/Take:  0.008 (0.183)  
Double/Pass:  +1.000 (+0.825) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.4% 


32: 6/4 6/3 


1.  XG Roller++  6/4 6/3  eq: +0.050 
 Player: Opponent:  49.05% (G:1.24% B:0.01%) 50.95% (G:1.60% B:0.03%)  

2.  XG Roller++  13/11 13/10  eq: +0.046 (0.004) 
 Player: Opponent:  48.93% (G:1.05% B:0.01%) 51.07% (G:1.25% B:0.02%)  

3.  5ply  6/1  eq: +0.049 (0.001) 
 Player: Opponent:  49.16% (G:1.27% B:0.01%) 50.84% (G:1.48% B:0.04%)  

4.  5ply  6/4 5/2  eq: +0.043 (0.007) 
 Player: Opponent:  48.97% (G:1.20% B:0.01%) 51.03% (G:1.42% B:0.03%)  

5.  4ply  6/3 4/2  eq: +0.017 (0.033) 
 Player: Opponent:  47.90% (G:1.37% B:0.01%) 52.10% (G:1.87% B:0.03%)  



61: 8/2 6/5 


1.  5ply  8/2 6/5  eq: 0.097 
 Player: Opponent:  49.47% (G:1.61% B:0.03%) 50.53% (G:1.52% B:0.02%)  

2.  5ply  8/2 4/3  eq: 0.125 (0.028) 
 Player: Opponent:  48.55% (G:1.54% B:0.02%) 51.45% (G:1.62% B:0.02%)  

3.  5ply  8/2 5/4  eq: 0.129 (0.032) 
 Player: Opponent:  48.46% (G:1.50% B:0.03%) 51.54% (G:1.68% B:0.02%)  

4.  5ply  8/1  eq: 0.133 (0.037) 
 Player: Opponent:  48.35% (G:1.61% B:0.03%) 51.65% (G:1.82% B:0.02%)  



61: 13/7 3/2 


1.  5ply  13/7 3/2  eq: +0.022 
 Player: Opponent:  48.27% (G:1.77% B:0.02%) 51.73% (G:1.62% B:0.03%)  

2.  5ply  13/6  eq: 0.008 (0.029) 
 Player: Opponent:  47.10% (G:2.65% B:0.04%) 52.90% (G:2.52% B:0.09%)  

3.  5ply  13/7 2/1  eq: 0.012 (0.034) 
 Player: Opponent:  47.04% (G:2.57% B:0.03%) 52.96% (G:2.76% B:0.13%)  

4.  5ply  13/7 4/3  eq: 0.030 (0.052) 
 Player: Opponent:  46.57% (G:2.38% B:0.04%) 53.43% (G:3.01% B:0.14%)  

5.  3ply  13/7 6/5  eq: 0.096 (0.118) 
 Player: Opponent:  44.41% (G:2.95% B:0.05%) 55.59% (G:4.44% B:0.15%)  



65: 13/2 


1.  5ply  13/2  eq: +0.027 
 Player: Opponent:  53.80% (G:1.27% B:0.01%) 46.20% (G:1.26% B:0.01%)  

2.  5ply  8/2 6/1  eq: +0.013 (0.014) 
 Player: Opponent:  53.31% (G:1.51% B:0.02%) 46.69% (G:1.72% B:0.02%)  

3.  1ply  8/3 8/2  eq: 0.486 (0.513) 
 Player: Opponent:  39.78% (G:2.19% B:0.03%) 60.22% (G:9.34% B:0.11%)  



55: 18/13 18/3 


1.  5ply  18/13 18/3  eq: +0.874 
 Player: Opponent:  74.75% (G:0.00% B:0.00%) 25.25% (G:0.00% B:0.00%)  

2.  5ply  18/13 18/8 7/2  eq: +0.869 (0.004) 
 Player: Opponent:  74.59% (G:0.00% B:0.00%) 25.41% (G:0.00% B:0.00%)  

3.  5ply  18/13 18/8 6/1  eq: +0.856 (0.018) 
 Player: Opponent:  74.09% (G:0.01% B:0.00%) 25.91% (G:0.00% B:0.00%)  

4.  5ply  18/13(2) 7/2 6/1  eq: +0.816 (0.058) 
 Player: Opponent:  72.53% (G:0.05% B:0.00%) 27.47% (G:0.02% B:0.00%)  

5.  5ply  18/8(2)  eq: +0.538 (0.336) 
 Player: Opponent:  62.98% (G:2.85% B:0.06%) 37.02% (G:0.67% B:0.01%)  



22: 8/6(2) 8/4 


1.  XG Roller++  8/4(2)  eq: 0.926 
 Player: Opponent:  25.06% (G:0.01% B:0.00%) 74.94% (G:0.02% B:0.00%)  

2.  XG Roller++  8/6(2) 8/4  eq: 0.932 (0.005) 
 Player: Opponent:  24.96% (G:0.01% B:0.00%) 75.04% (G:0.03% B:0.00%)  

3.  5ply  8/6 8/4 5/3  eq: 0.945 (0.019) 
 Player: Opponent:  24.75% (G:0.01% B:0.00%) 75.25% (G:0.02% B:0.00%)  

4.  5ply  13/11(2) 8/4  eq: 0.954 (0.028) 
 Player: Opponent:  24.54% (G:0.00% B:0.00%) 75.46% (G:0.00% B:0.00%)  

5.  5ply  13/11 5/3 5/1  eq: 1.000 (0.074) 
 Player: Opponent:  17.61% (G:0.64% B:0.04%) 82.39% (G:9.17% B:0.46%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
75.02% (G:0.04% B:0.00%) 
75.06% (G:0.04% B:0.00%) 
Opponent Winning Chances: 
24.98% (G:0.02% B:0.00%) 
24.94% (G:0.01% B:0.00%) 
Cubeless Equities 
+0.501 
+1.045 
Cubeful Equities 
No double:  +0.823 (0.107)  
Double/Take:  +0.930  
Double/Pass:  +1.000 (+0.070) 

Best Cube action: Double / Take 


11: 4/1 3/2 


1.  XG Roller++  7/5 3/1  eq: +0.651 
 Player: Opponent:  67.79% (G:0.12% B:0.00%) 32.21% (G:0.05% B:0.00%)  

2.  XG Roller++  4/1 3/2  eq: +0.603 (0.049) 
 Player: Opponent:  66.23% (G:0.17% B:0.01%) 33.77% (G:0.06% B:0.01%)  

3.  5ply  7/6 3/1 2/1  eq: +0.623 (0.028) 
 Player: Opponent:  66.97% (G:0.09% B:0.00%) 33.03% (G:0.05% B:0.00%)  

4.  5ply  7/6 4/1  eq: +0.622 (0.030) 
 Player: Opponent:  66.98% (G:0.10% B:0.00%) 33.02% (G:0.05% B:0.00%)  

5.  5ply  7/4 3/2  eq: +0.615 (0.036) 
 Player: Opponent:  66.88% (G:0.07% B:0.00%) 33.12% (G:0.01% B:0.00%)  



42: 6/4 6/2 


1.  XG Roller++  13/11 13/9  eq: 0.736 
 Player: Opponent:  29.50% (G:0.00% B:0.00%) 70.50% (G:0.00% B:0.00%)  

2.  XG Roller++  6/4 6/2  eq: 0.792 (0.057) 
 Player: Opponent:  28.20% (G:0.00% B:0.00%) 71.80% (G:0.02% B:0.00%)  

3.  5ply  6/4 5/1  eq: 0.795 (0.059) 
 Player: Opponent:  28.35% (G:0.01% B:0.00%) 71.65% (G:0.03% B:0.00%)  

4.  5ply  13/9 6/4  eq: 1.000 (0.264) 
 Player: Opponent:  22.76% (G:1.25% B:0.08%) 77.24% (G:1.85% B:0.02%)  

5.  4ply  6/2 5/3  eq: 0.816 (0.081) 
 Player: Opponent:  27.74% (G:0.00% B:0.00%) 72.26% (G:0.02% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
71.75% (G:0.03% B:0.00%) 
71.76% (G:0.03% B:0.00%) 
Opponent Winning Chances: 
28.25% (G:0.00% B:0.00%) 
28.24% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.435 
+0.918 
Cubeful Equities 
No double:  +0.727 (0.057)  
Double/Take:  +0.784  
Double/Pass:  +1.000 (+0.216) 

Best Cube action: Double / Take 


64: 13/9 13/7 


1.  5ply  13/9 13/7  eq: +0.887 
 Player: Opponent:  76.24% (G:0.00% B:0.00%) 23.76% (G:0.00% B:0.00%)  

2.  5ply  7/1 6/2  eq: +0.762 (0.125) 
 Player: Opponent:  70.95% (G:0.05% B:0.00%) 29.05% (G:0.02% B:0.00%)  

3.  5ply  13/9 7/1  eq: +0.338 (0.549) 
 Player: Opponent:  57.43% (G:0.25% B:0.00%) 42.57% (G:0.47% B:0.01%)  

4.  2ply  7/1 5/1  eq: +0.724 (0.163) 
 Player: Opponent:  69.83% (G:0.01% B:0.00%) 30.17% (G:0.02% B:0.00%)  

5.  1ply  13/3  eq: +0.331 (0.556) 
 Player: Opponent:  59.03% (G:0.35% B:0.00%) 40.97% (G:0.31% B:0.00%)  



55: 13/3(2) 


1.  5ply  13/3(2)  eq: 0.012 
 Player: Opponent:  52.33% (G:0.00% B:0.00%) 47.67% (G:0.00% B:0.00%)  

2.  5ply  13/8 13/3 6/1  eq: 0.060 (0.047) 
 Player: Opponent:  50.51% (G:0.00% B:0.00%) 49.49% (G:0.00% B:0.00%)  

3.  5ply  13/3 6/1(2)  eq: 0.207 (0.194) 
 Player: Opponent:  45.20% (G:0.00% B:0.00%) 54.80% (G:0.00% B:0.00%)  

4.  5ply  13/8 6/1(3)  eq: 0.405 (0.392) 
 Player: Opponent:  38.58% (G:0.00% B:0.00%) 61.42% (G:0.00% B:0.00%)  

5.  5ply  6/1(4)  eq: 0.741 (0.729) 
 Player: Opponent:  29.56% (G:0.00% B:0.00%) 70.44% (G:0.00% B:0.00%)  



21: 7/6 7/5 


1.  5ply  7/6 7/5  eq: 0.322 
 Player: Opponent:  36.37% (G:0.00% B:0.00%) 63.63% (G:0.00% B:0.00%)  

2.  5ply  9/8 7/5  eq: 0.403 (0.081) 
 Player: Opponent:  33.46% (G:0.00% B:0.00%) 66.54% (G:0.00% B:0.00%)  

3.  5ply  6/4 2/1  eq: 0.488 (0.166) 
 Player: Opponent:  30.62% (G:0.00% B:0.00%) 69.38% (G:0.00% B:0.00%)  

4.  3ply  7/4  eq: 0.401 (0.079) 
 Player: Opponent:  33.49% (G:0.00% B:0.00%) 66.51% (G:0.00% B:0.00%)  

5.  3ply  7/5 2/1  eq: 0.408 (0.086) 
 Player: Opponent:  33.26% (G:0.00% B:0.00%) 66.74% (G:0.00% B:0.00%)  



52: 5/Off 2/Off 


1.  5ply  5/Off 2/Off  eq: +0.264 
 Player: Opponent:  61.98% (G:0.00% B:0.00%) 38.02% (G:0.00% B:0.00%)  

2.  5ply  6/1 2/Off  eq: +0.237 (0.027) 
 Player: Opponent:  61.03% (G:0.00% B:0.00%) 38.97% (G:0.00% B:0.00%)  

3.  5ply  6/4 6/1  eq: +0.130 (0.134) 
 Player: Opponent:  57.13% (G:0.00% B:0.00%) 42.87% (G:0.00% B:0.00%)  

4.  3ply  6/4 5/Off  eq: +0.179 (0.085) 
 Player: Opponent:  59.02% (G:0.00% B:0.00%) 40.98% (G:0.00% B:0.00%)  

5.  3ply  5/Off 3/1  eq: +0.170 (0.094) 
 Player: Opponent:  58.73% (G:0.00% B:0.00%) 41.27% (G:0.00% B:0.00%)  



31: 9/6 1/Off 


1.  5ply  9/6 1/Off  eq: 0.566 
 Player: Opponent:  28.25% (G:0.00% B:0.00%) 71.75% (G:0.00% B:0.00%)  

2.  5ply  9/5  eq: 0.621 (0.055) 
 Player: Opponent:  26.39% (G:0.00% B:0.00%) 73.61% (G:0.00% B:0.00%)  

3.  5ply  6/3 2/1  eq: 0.711 (0.145) 
 Player: Opponent:  23.71% (G:0.00% B:0.00%) 76.29% (G:0.00% B:0.00%)  

4.  4ply  9/6 2/1  eq: 0.628 (0.062) 
 Player: Opponent:  25.81% (G:0.00% B:0.00%) 74.19% (G:0.00% B:0.00%)  

5.  4ply  9/6 5/4  eq: 0.629 (0.063) 
 Player: Opponent:  25.77% (G:0.00% B:0.00%) 74.23% (G:0.00% B:0.00%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
71.75% (G:0.00% B:0.00%) 
71.75% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
28.25% (G:0.00% B:0.00%) 
28.25% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.435 
+0.750 
Cubeful Equities 
No double:  +0.566  
Double/Take:  +0.500 (0.066)  
Double/Pass:  +1.000 (+0.434) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.7% 


21: 6/5 2/Off 


1.  5ply  6/5 2/Off  eq: +0.177 
 Player: Opponent:  58.94% (G:0.00% B:0.00%) 41.06% (G:0.00% B:0.00%)  

2.  5ply  6/5 3/1  eq: +0.128 (0.049) 
 Player: Opponent:  57.10% (G:0.00% B:0.00%) 42.90% (G:0.00% B:0.00%)  

3.  1ply  3/Off  eq: +0.168 (0.009) 
 Player: Opponent:  58.32% (G:0.00% B:0.00%) 41.68% (G:0.00% B:0.00%)  

4.  1ply  2/1 2/Off  eq: +0.161 (0.016) 
 Player: Opponent:  58.07% (G:0.00% B:0.00%) 41.93% (G:0.00% B:0.00%)  

5.  1ply  4/3 2/Off  eq: +0.154 (0.023) 
 Player: Opponent:  57.83% (G:0.00% B:0.00%) 42.17% (G:0.00% B:0.00%)  



52: 5/Off 2/Off 


1.  5ply  5/Off 2/Off  eq: 0.245 
 Player: Opponent:  39.26% (G:0.00% B:0.00%) 60.74% (G:0.00% B:0.00%)  

2.  5ply  6/1 2/Off  eq: 0.284 (0.039) 
 Player: Opponent:  37.77% (G:0.00% B:0.00%) 62.23% (G:0.00% B:0.00%)  

3.  5ply  6/4 6/1  eq: 0.388 (0.144) 
 Player: Opponent:  33.98% (G:0.00% B:0.00%) 66.02% (G:0.00% B:0.00%)  

4.  1ply  6/4 5/Off  eq: 0.316 (0.071) 
 Player: Opponent:  36.31% (G:0.00% B:0.00%) 63.69% (G:0.00% B:0.00%)  

5.  1ply  5/Off 3/1  eq: 0.353 (0.108) 
 Player: Opponent:  34.98% (G:0.00% B:0.00%) 65.02% (G:0.00% B:0.00%)  



33: 6/Off 3/Off(2) 


1.  5ply  6/Off 3/Off(2)  eq: +0.641 
 Player: Opponent:  73.48% (G:0.00% B:0.00%) 26.52% (G:0.00% B:0.00%)  

2.  5ply  6/Off 4/1 3/Off  eq: +0.617 (0.024) 
 Player: Opponent:  72.71% (G:0.00% B:0.00%) 27.29% (G:0.00% B:0.00%)  

3.  5ply  6/Off 5/2 4/1  eq: +0.538 (0.103) 
 Player: Opponent:  70.21% (G:0.00% B:0.00%) 29.79% (G:0.00% B:0.00%)  

4.  5ply  6/3(2) 5/2 4/1  eq: +0.334 (0.307) 
 Player: Opponent:  63.94% (G:0.00% B:0.00%) 36.06% (G:0.00% B:0.00%)  

5.  1ply  6/Off 5/2 3/Off  eq: +0.548 (0.094) 
 Player: Opponent:  72.09% (G:0.00% B:0.00%) 27.91% (G:0.00% B:0.00%)  



64: 6/Off 4/Off 


1.  5ply  6/Off 4/Off  eq: 0.527 
 Player: Opponent:  29.98% (G:0.00% B:0.00%) 70.02% (G:0.00% B:0.00%)  

2.  5ply  6/Off 5/1  eq: 0.620 (0.093) 
 Player: Opponent:  26.70% (G:0.00% B:0.00%) 73.30% (G:0.00% B:0.00%)  

3.  1ply  6/2 6/Off  eq: 0.580 (0.053) 
 Player: Opponent:  26.74% (G:0.00% B:0.00%) 73.26% (G:0.00% B:0.00%)  



No double 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
70.02% (G:0.00% B:0.00%) 
70.02% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
29.98% (G:0.00% B:0.00%) 
29.98% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.400 
+0.684 
Cubeful Equities 
No double:  +0.527  
Double/Take:  +0.453 (0.074)  
Double/Pass:  +1.000 (+0.473) 

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


65: 6/Off 5/Off 


1.  5ply  6/Off 5/Off  eq: +0.835 
 Player: Opponent:  79.80% (G:0.00% B:0.00%) 20.20% (G:0.00% B:0.00%)  

2.  5ply  6/1 6/Off  eq: +0.689 (0.147) 
 Player: Opponent:  74.58% (G:0.00% B:0.00%) 25.42% (G:0.00% B:0.00%)  



22: 4/Off 2/Off(2) 


1.  5ply  4/Off 2/Off(2)  eq: 0.846 
 Player: Opponent:  22.38% (G:0.00% B:0.00%) 77.62% (G:0.00% B:0.00%)  

2.  5ply  6/Off 2/Off  eq: 0.892 (0.046) 
 Player: Opponent:  21.21% (G:0.00% B:0.00%) 78.79% (G:0.00% B:0.00%)  

3.  5ply  6/4(2) 3/1 2/Off  eq: 1.000 (0.154) 
 Player: Opponent:  18.55% (G:0.00% B:0.00%) 81.45% (G:0.00% B:0.00%)  

4.  5ply  6/4(3) 3/1  eq: 1.000 (0.154) 
 Player: Opponent:  14.41% (G:0.00% B:0.00%) 85.59% (G:0.00% B:0.00%)  

5.  1ply  6/4(2) 2/Off(2)  eq: 0.875 (0.028) 
 Player: Opponent:  20.90% (G:0.00% B:0.00%) 79.10% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
77.63% (G:0.00% B:0.00%) 
77.62% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
22.37% (G:0.00% B:0.00%) 
22.38% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.553 
+0.976 
Cubeful Equities 
No double:  +0.771 (0.107)  
Double/Take:  +0.878  
Double/Pass:  +1.000 (+0.122) 

Best Cube action: Double / Take 


61: 6/Off 4/3 


1.  3ply  6/Off 4/3  eq: +0.709 
 Player: Opponent:  74.91% (G:0.00% B:0.00%) 25.09% (G:0.00% B:0.00%)  

2.  1ply  6/Off 2/1  eq: +0.564 (0.144) 
 Player: Opponent:  72.70% (G:0.00% B:0.00%) 27.30% (G:0.00% B:0.00%)  

3.  1ply  6/Off 5/4  eq: +0.544 (0.165) 
 Player: Opponent:  71.96% (G:0.00% B:0.00%) 28.04% (G:0.00% B:0.00%)  

4.  1ply  6/Off  eq: +0.504 (0.205) 
 Player: Opponent:  70.52% (G:0.00% B:0.00%) 29.48% (G:0.00% B:0.00%)  



31: 5/4 3/Off 


1.  5ply  6/5 3/Off  eq: 1.000 
 Player: Opponent:  14.93% (G:0.00% B:0.00%) 85.07% (G:0.00% B:0.00%)  

2.  5ply  5/4 3/Off  eq: 1.000 
 Player: Opponent:  14.30% (G:0.00% B:0.00%) 85.70% (G:0.00% B:0.00%)  

3.  5ply  6/3 5/4  eq: 1.000 
 Player: Opponent:  11.26% (G:0.00% B:0.00%) 88.74% (G:0.00% B:0.00%)  

4.  1ply  3/2 3/Off  eq: 1.000 
 Player: Opponent:  13.24% (G:0.00% B:0.00%) 86.76% (G:0.00% B:0.00%)  

5.  1ply  6/2  eq: 1.000 
 Player: Opponent:  10.77% (G:0.00% B:0.00%) 89.23% (G:0.00% B:0.00%)  



Double/Pass 


Analyzed in 5ply 
No double 
Double/Take 
Player Winning Chances: 
85.70% (G:0.00% B:0.00%) 
85.70% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
14.30% (G:0.00% B:0.00%) 
14.30% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.714 
+1.285 
Cubeful Equities 
No double:  +0.902 (0.098)  
Double/Take:  +1.230 (+0.230)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



