31: 8/5 6/5 


1.  Book^{1}  8/5 6/5  eq: +0.082 
 Player: Opponent:  55.24% (G:16.76% B:0.74%) 44.76% (G:11.25% B:0.50%)  

2.  2ply  24/21 6/5  eq: 0.190 (0.273) 
 Player: Opponent:  49.21% (G:12.22% B:0.48%) 50.79% (G:13.64% B:0.61%)  

3.  Book^{1}  24/23 13/10  eq: 0.197 (0.279) 
 Player: Opponent:  49.64% (G:13.51% B:0.58%) 50.36% (G:13.50% B:0.58%)  

4.  Book^{1}  13/10 6/5  eq: 0.218 (0.300) 
 Player: Opponent:  49.72% (G:13.90% B:0.56%) 50.28% (G:14.50% B:0.90%)  

5.  Book^{1}  13/9  eq: 0.231 (0.313) 
 Player: Opponent:  49.01% (G:14.03% B:0.67%) 50.99% (G:13.71% B:0.63%)  


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



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
44.78% (G:11.24% B:0.53%) 
44.69% (G:11.30% B:0.50%) 
Opponent Winning Chances: 
55.22% (G:16.68% B:0.74%) 
55.31% (G:16.65% B:0.78%) 
Cubeless Equities 
0.263 
0.283 
Cubeful Equities 
No double:  0.097  
Double/Take:  0.283 (0.186)  
Double/Pass:  +1.000 (+1.097) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.6% 


64: 8/2 6/2 


1.  XG Roller++  24/14  eq: 0.207 
 Player: Opponent:  42.49% (G:8.69% B:0.31%) 57.51% (G:16.72% B:0.58%)  

2.  XG Roller++  24/18 13/9  eq: 0.210 (0.003) 
 Player: Opponent:  42.22% (G:10.13% B:0.45%) 57.78% (G:19.09% B:0.94%)  

3.  XG Roller++  8/2 6/2  eq: 0.228 (0.021) 
 Player: Opponent:  41.00% (G:11.77% B:0.51%) 59.00% (G:18.76% B:0.93%)  

4.  3ply  24/18 6/2  eq: 0.353 (0.146) 
 Player: Opponent:  39.78% (G:8.93% B:0.45%) 60.22% (G:22.36% B:1.06%)  

5.  3ply  13/3  eq: 0.361 (0.155) 
 Player: Opponent:  38.85% (G:9.99% B:0.51%) 61.15% (G:19.80% B:1.22%)  



63: 24/18 13/10 


1.  4ply  24/18 13/10  eq: +0.151 
 Player: Opponent:  57.80% (G:16.97% B:1.03%) 42.20% (G:13.85% B:0.56%)  

2.  4ply  24/15  eq: +0.089 (0.062) 
 Player: Opponent:  56.02% (G:14.81% B:0.75%) 43.98% (G:12.93% B:0.45%)  

3.  4ply  13/10 13/7  eq: +0.060 (0.091) 
 Player: Opponent:  55.61% (G:17.68% B:0.99%) 44.39% (G:14.25% B:1.06%)  

4.  3ply  13/4  eq: +0.042 (0.109) 
 Player: Opponent:  54.65% (G:17.48% B:0.77%) 45.35% (G:13.41% B:0.80%)  

5.  3ply  24/21 13/7  eq: +0.002 (0.149) 
 Player: Opponent:  54.50% (G:17.22% B:0.96%) 45.50% (G:14.69% B:0.70%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
42.20% (G:13.85% B:0.56%) 
42.53% (G:14.21% B:0.58%) 
Opponent Winning Chances: 
57.80% (G:16.97% B:1.03%) 
57.47% (G:17.75% B:1.12%) 
Cubeless Equities 
0.283 
0.325 
Cubeful Equities 
No double:  0.151  
Double/Take:  0.325 (0.173)  
Double/Pass:  +1.000 (+1.151) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.6% 


63: 24/15* 


1.  3ply  24/15*  eq: +0.091 
 Player: Opponent:  48.00% (G:14.03% B:0.72%) 52.00% (G:14.74% B:0.63%)  

2.  2ply  24/21 13/7*  eq: 0.072 (0.163) 
 Player: Opponent:  44.01% (G:14.18% B:0.73%) 55.99% (G:16.56% B:0.97%)  

3.  2ply  13/10 13/7*  eq: 0.166 (0.257) 
 Player: Opponent:  41.99% (G:14.05% B:0.66%) 58.01% (G:18.71% B:1.37%)  

4.  1ply  13/7* 7/4  eq: 0.247 (0.338) 
 Player: Opponent:  40.69% (G:12.60% B:0.62%) 59.31% (G:18.44% B:1.37%)  

5.  1ply  13/7* 6/3  eq: 0.375 (0.466) 
 Player: Opponent:  38.16% (G:11.76% B:0.63%) 61.84% (G:21.65% B:2.08%)  



54: Bar/20 24/20 


1.  3ply  Bar/20 24/20  eq: 0.021 
 Player: Opponent:  51.27% (G:13.01% B:0.41%) 48.73% (G:8.22% B:0.18%)  

2.  2ply  Bar/21 18/13  eq: 0.180 (0.159) 
 Player: Opponent:  49.38% (G:13.08% B:0.51%) 50.62% (G:13.71% B:0.45%)  

3.  2ply  Bar/21 13/8  eq: 0.249 (0.228) 
 Player: Opponent:  48.89% (G:14.32% B:0.75%) 51.11% (G:17.20% B:0.87%)  

4.  2ply  Bar/20 13/9  eq: 0.324 (0.303) 
 Player: Opponent:  48.20% (G:14.56% B:0.80%) 51.80% (G:20.30% B:1.41%)  

5.  2ply  Bar/21 6/1*  eq: 0.341 (0.320) 
 Player: Opponent:  47.17% (G:13.66% B:0.57%) 52.83% (G:18.40% B:1.28%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
48.68% (G:8.23% B:0.21%) 
48.64% (G:8.35% B:0.21%) 
Opponent Winning Chances: 
51.32% (G:13.09% B:0.36%) 
51.36% (G:12.96% B:0.39%) 
Cubeless Equities 
0.165 
0.146 
Cubeful Equities 
No double:  +0.018  
Double/Take:  0.146 (0.164)  
Double/Pass:  +1.000 (+0.982) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.5% 


54: 15/6 


1.  3ply  15/6  eq: 0.065 
 Player: Opponent:  46.77% (G:7.56% B:0.17%) 53.23% (G:13.47% B:0.34%)  

2.  2ply  13/4  eq: 0.254 (0.189) 
 Player: Opponent:  41.76% (G:8.62% B:0.22%) 58.24% (G:16.93% B:0.76%)  

3.  2ply  15/11 13/8  eq: 0.280 (0.215) 
 Player: Opponent:  40.83% (G:8.55% B:0.21%) 59.17% (G:15.44% B:0.64%)  

4.  2ply  13/8 6/2  eq: 0.363 (0.298) 
 Player: Opponent:  39.30% (G:7.90% B:0.18%) 60.70% (G:18.21% B:0.69%)  

5.  2ply  13/9 13/8  eq: 0.412 (0.348) 
 Player: Opponent:  37.95% (G:8.49% B:0.27%) 62.05% (G:19.43% B:1.08%)  



55: 8/3(2) 6/1*(2) 


1.  XG Roller++  8/3(2) 6/1*(2)  eq: +0.328 
 Player: Opponent:  58.63% (G:22.61% B:0.21%) 41.37% (G:6.43% B:0.20%)  

2.  XG Roller++  18/8 6/1*(2)  eq: +0.286 (0.042) 
 Player: Opponent:  57.64% (G:19.24% B:0.16%) 42.36% (G:5.80% B:0.17%)  

3.  4ply  20/15(2) 18/8  eq: +0.286 (0.042) 
 Player: Opponent:  59.22% (G:8.96% B:0.23%) 40.78% (G:6.02% B:0.12%)  

4.  4ply  13/3(2)  eq: +0.279 (0.049) 
 Player: Opponent:  57.87% (G:17.12% B:0.29%) 42.13% (G:6.08% B:0.15%)  

5.  3ply  18/3 8/3  eq: +0.224 (0.103) 
 Player: Opponent:  56.28% (G:15.93% B:0.30%) 43.72% (G:5.26% B:0.11%)  



62: Bar/23 13/7* 


1.  3ply  Bar/23 13/7*  eq: 0.094 
 Player: Opponent:  46.18% (G:8.93% B:0.26%) 53.82% (G:18.44% B:0.29%)  

2.  2ply  Bar/17  eq: 0.244 (0.150) 
 Player: Opponent:  43.67% (G:5.66% B:0.15%) 56.33% (G:19.87% B:0.21%)  

3.  1ply  Bar/23 8/2  eq: 0.668 (0.574) 
 Player: Opponent:  33.15% (G:6.56% B:0.15%) 66.85% (G:28.13% B:0.46%)  



43: Bar/18* 


1.  3ply  Bar/18*  eq: +0.482 
 Player: Opponent:  62.72% (G:23.93% B:0.62%) 37.28% (G:7.07% B:0.21%)  

2.  1ply  Bar/22 13/9  eq: 0.049 (0.531) 
 Player: Opponent:  50.61% (G:16.07% B:0.44%) 49.39% (G:9.66% B:0.28%)  

3.  1ply  Bar/21 13/10  eq: 0.064 (0.546) 
 Player: Opponent:  50.24% (G:15.61% B:0.43%) 49.76% (G:9.55% B:0.28%)  

4.  1ply  Bar/22 20/16  eq: 0.602 (1.084) 
 Player: Opponent:  43.66% (G:14.97% B:0.47%) 56.34% (G:21.22% B:1.06%)  

5.  1ply  Bar/21 5/2*  eq: 0.670 (1.152) 
 Player: Opponent:  40.97% (G:13.41% B:0.33%) 59.03% (G:18.20% B:0.71%)  



62: Bar/23 13/7* 


1.  3ply  Bar/23 13/7*  eq: 0.309 
 Player: Opponent:  40.34% (G:8.69% B:0.27%) 59.66% (G:17.77% B:0.60%)  

2.  2ply  Bar/17  eq: 0.511 (0.201) 
 Player: Opponent:  37.18% (G:6.71% B:0.20%) 62.82% (G:27.21% B:0.55%)  

3.  1ply  Bar/23 8/2  eq: 0.724 (0.414) 
 Player: Opponent:  30.92% (G:6.11% B:0.14%) 69.08% (G:22.41% B:0.81%)  



52: Bar/18* 


1.  3ply  Bar/18*  eq: +0.566 
 Player: Opponent:  65.32% (G:20.85% B:0.84%) 34.68% (G:6.60% B:0.19%)  

2.  2ply  Bar/20 13/11  eq: +0.256 (0.309) 
 Player: Opponent:  58.24% (G:14.95% B:0.38%) 41.76% (G:7.62% B:0.24%)  

3.  1ply  Bar/20 5/3  eq: 0.400 (0.965) 
 Player: Opponent:  43.74% (G:10.68% B:0.31%) 56.26% (G:13.52% B:0.46%)  

4.  1ply  Bar/20 6/4  eq: 0.451 (1.017) 
 Player: Opponent:  43.81% (G:11.28% B:0.36%) 56.19% (G:15.69% B:0.59%)  

5.  1ply  Bar/20 3/1  eq: 0.491 (1.057) 
 Player: Opponent:  42.41% (G:10.61% B:0.27%) 57.59% (G:14.30% B:0.43%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 0.742 
 Player: Opponent:  31.20% (G:5.64% B:0.19%) 68.80% (G:22.73% B:0.92%)  



62: 20/18 20/14 


1.  XG Roller++  18/10  eq: +0.741 
 Player: Opponent:  69.28% (G:23.69% B:0.97%) 30.72% (G:5.58% B:0.19%)  

2.  XG Roller++  20/18 20/14  eq: +0.619 (0.122) 
 Player: Opponent:  66.91% (G:21.83% B:0.87%) 33.09% (G:7.53% B:0.25%)  

3.  4ply  13/5  eq: +0.721 (0.019) 
 Player: Opponent:  68.32% (G:22.43% B:0.87%) 31.68% (G:5.62% B:0.19%)  

4.  4ply  18/16 13/7  eq: +0.712 (0.029) 
 Player: Opponent:  68.21% (G:22.21% B:0.85%) 31.79% (G:5.70% B:0.19%)  

5.  3ply  13/11 13/7  eq: +0.623 (0.118) 
 Player: Opponent:  66.63% (G:22.94% B:0.99%) 33.37% (G:6.66% B:0.24%)  



63: Cannot Move 


1.  3ply  Cannot Move  eq: 0.805 
 Player: Opponent:  29.84% (G:5.70% B:0.20%) 70.16% (G:23.50% B:0.93%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
70.00% (G:23.21% B:0.94%) 
70.19% (G:22.59% B:0.93%) 
Opponent Winning Chances: 
30.00% (G:5.83% B:0.18%) 
29.81% (G:5.71% B:0.17%) 
Cubeless Equities 
+0.774 
+1.230 
Cubeful Equities 
No double:  +0.760  
Double/Take:  +0.610 (0.150)  
Double/Pass:  +1.000 (+0.240) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 27.8% 


11: 6/4(2) 


1.  3ply  6/4(2)  eq: +0.497 
 Player: Opponent:  64.20% (G:19.76% B:0.79%) 35.80% (G:8.14% B:0.24%)  

2.  1ply  6/5 6/3  eq: +0.008 (0.489) 
 Player: Opponent:  53.59% (G:14.87% B:0.58%) 46.41% (G:12.67% B:0.32%)  

3.  1ply  14/13 6/5 6/4  eq: 0.001 (0.498) 
 Player: Opponent:  53.63% (G:15.70% B:0.60%) 46.37% (G:13.67% B:0.38%)  

4.  1ply  14/13 5/4 5/3  eq: 0.112 (0.610) 
 Player: Opponent:  51.25% (G:15.23% B:0.57%) 48.75% (G:14.76% B:0.49%)  

5.  1ply  14/13 6/3  eq: 0.128 (0.625) 
 Player: Opponent:  50.85% (G:15.08% B:0.59%) 49.15% (G:14.77% B:0.45%)  



31: Cannot Move 


1.  3ply  Cannot Move  eq: 0.744 
 Player: Opponent:  31.10% (G:6.11% B:0.24%) 68.90% (G:22.72% B:0.98%)  



32: 14/11 13/11 


1.  4ply  14/11 13/11  eq: +0.722 
 Player: Opponent:  68.99% (G:21.56% B:0.89%) 31.01% (G:5.98% B:0.23%)  

2.  4ply  13/11 13/10  eq: +0.672 (0.050) 
 Player: Opponent:  68.02% (G:23.14% B:1.01%) 31.98% (G:7.20% B:0.33%)  

3.  4ply  18/16 13/10  eq: +0.595 (0.127) 
 Player: Opponent:  66.78% (G:21.35% B:1.05%) 33.22% (G:8.62% B:0.55%)  

4.  3ply  13/8  eq: +0.611 (0.111) 
 Player: Opponent:  66.81% (G:21.20% B:0.85%) 33.19% (G:7.27% B:0.24%)  

5.  3ply  18/16 14/11  eq: +0.610 (0.111) 
 Player: Opponent:  67.06% (G:21.23% B:0.91%) 32.94% (G:7.67% B:0.29%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 0.884 
 Player: Opponent:  27.48% (G:4.69% B:0.20%) 72.52% (G:23.85% B:1.04%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
71.81% (G:24.12% B:0.93%) 
71.94% (G:23.91% B:0.93%) 
Opponent Winning Chances: 
28.19% (G:5.12% B:0.19%) 
28.06% (G:5.03% B:0.17%) 
Cubeless Equities 
+0.838 
+1.343 
Cubeful Equities 
No double:  +0.831  
Double/Take:  +0.750 (0.081)  
Double/Pass:  +1.000 (+0.169) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 24.6% 


65: 13/8 13/7 


1.  XG Roller++  18/7  eq: +0.773 
 Player: Opponent:  70.23% (G:25.30% B:1.05%) 29.77% (G:5.82% B:0.22%)  

2.  XG Roller++  13/8 13/7  eq: +0.728 (0.044) 
 Player: Opponent:  69.09% (G:26.51% B:1.05%) 30.91% (G:6.17% B:0.27%)  

3.  3ply  18/13 11/5  eq: +0.724 (0.049) 
 Player: Opponent:  69.17% (G:22.21% B:0.80%) 30.83% (G:5.67% B:0.19%)  

4.  3ply  13/8 11/5  eq: +0.675 (0.097) 
 Player: Opponent:  67.78% (G:24.07% B:0.88%) 32.22% (G:6.42% B:0.28%)  

5.  3ply  13/7 11/6  eq: +0.626 (0.146) 
 Player: Opponent:  67.40% (G:26.26% B:1.00%) 32.60% (G:7.96% B:0.38%)  



54: Cannot Move 


1.  3ply  Cannot Move  eq: 0.972 
 Player: Opponent:  25.73% (G:3.83% B:0.18%) 74.27% (G:29.20% B:1.16%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
74.39% (G:29.59% B:1.11%) 
73.90% (G:32.61% B:1.38%) 
Opponent Winning Chances: 
25.61% (G:3.71% B:0.15%) 
26.10% (G:3.99% B:0.17%) 
Cubeless Equities 
+1.020 
+1.475 
Cubeful Equities 
No double:  +0.952  
Double/Take:  +0.906 (0.046)  
Double/Pass:  +1.000 (+0.048) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 32.8% 


44: 18/14(2) 11/7(2) 


1.  XG Roller++  18/10(2)  eq: +1.061 
 Player: Opponent:  76.37% (G:33.41% B:1.29%) 23.63% (G:3.18% B:0.15%)  

2.  XG Roller++  18/14(2) 13/9 11/7  eq: +1.032 (0.029) 
 Player: Opponent:  75.57% (G:30.74% B:1.15%) 24.43% (G:2.65% B:0.11%)  

3.  XG Roller++  18/14(2) 11/7(2)  eq: +0.942 (0.118) 
 Player: Opponent:  73.51% (G:29.04% B:1.07%) 26.49% (G:2.95% B:0.10%)  

4.  4ply  18/14(2) 13/9 7/3  eq: +1.013 (0.048) 
 Player: Opponent:  75.06% (G:30.85% B:1.16%) 24.94% (G:3.27% B:0.17%)  

5.  3ply  18/14(2) 13/5  eq: +1.011 (0.050) 
 Player: Opponent:  75.04% (G:31.61% B:1.07%) 24.96% (G:3.54% B:0.15%)  



62: Bar/17* 


1.  3ply  Bar/17*  eq: 0.642 
 Player: Opponent:  33.23% (G:6.34% B:0.25%) 66.77% (G:21.44% B:0.88%)  

2.  1ply  Bar/23 13/7  eq: 1.000 (0.358) 
 Player: Opponent:  25.63% (G:2.75% B:0.12%) 74.37% (G:21.01% B:0.78%)  

3.  1ply  Bar/19 6/4  eq: 1.000 (0.358) 
 Player: Opponent:  26.40% (G:3.31% B:0.20%) 73.60% (G:29.81% B:1.00%)  

4.  1ply  Bar/19 8/6  eq: 1.053 (0.411) 
 Player: Opponent:  23.44% (G:2.76% B:0.14%) 76.56% (G:29.35% B:1.03%)  

5.  1ply  Bar/23 8/2  eq: 1.055 (0.413) 
 Player: Opponent:  21.29% (G:2.18% B:0.09%) 78.71% (G:22.47% B:0.89%)  



52: Bar/20 13/11 


1.  3ply  Bar/20 13/11  eq: +0.634 
 Player: Opponent:  67.83% (G:17.22% B:0.66%) 32.17% (G:6.19% B:0.21%)  

2.  2ply  Bar/20 7/5  eq: +0.490 (0.144) 
 Player: Opponent:  63.77% (G:17.37% B:0.78%) 36.23% (G:7.88% B:0.27%)  

3.  2ply  Bar/18  eq: +0.461 (0.173) 
 Player: Opponent:  63.16% (G:16.36% B:0.75%) 36.84% (G:8.54% B:0.26%)  

4.  1ply  Bar/20 5/3  eq: 0.098 (0.733) 
 Player: Opponent:  51.92% (G:17.21% B:0.65%) 48.08% (G:15.94% B:1.05%)  

5.  1ply  Bar/20 3/1  eq: 0.131 (0.766) 
 Player: Opponent:  51.18% (G:16.44% B:0.60%) 48.82% (G:16.03% B:0.90%)  



21: 17/14* 


1.  3ply  17/14*  eq: 0.552 
 Player: Opponent:  34.97% (G:6.55% B:0.21%) 65.03% (G:17.27% B:0.69%)  

2.  2ply  17/15 6/5*  eq: 0.783 (0.231) 
 Player: Opponent:  30.90% (G:5.82% B:0.24%) 69.10% (G:32.69% B:1.65%)  

3.  2ply  6/5* 5/3  eq: 0.793 (0.241) 
 Player: Opponent:  30.45% (G:5.93% B:0.25%) 69.55% (G:31.47% B:1.60%)  

4.  1ply  6/4 6/5*  eq: 0.845 (0.293) 
 Player: Opponent:  30.65% (G:5.34% B:0.19%) 69.35% (G:40.28% B:2.66%)  

5.  1ply  8/5*  eq: 0.927 (0.376) 
 Player: Opponent:  28.05% (G:4.76% B:0.15%) 71.95% (G:36.02% B:2.28%)  



53: Bar/20 14/11* 


1.  3ply  Bar/20 14/11*  eq: +0.809 
 Player: Opponent:  70.74% (G:24.90% B:0.99%) 29.26% (G:4.60% B:0.16%)  

2.  2ply  Bar/20 7/4  eq: +0.596 (0.213) 
 Player: Opponent:  66.36% (G:15.05% B:0.54%) 33.64% (G:5.17% B:0.16%)  

3.  2ply  Bar/22 20/15  eq: +0.371 (0.438) 
 Player: Opponent:  61.61% (G:16.10% B:0.67%) 38.39% (G:8.90% B:0.26%)  

4.  1ply  Bar/20 4/1  eq: +0.059 (0.750) 
 Player: Opponent:  54.09% (G:14.18% B:0.43%) 45.91% (G:10.24% B:0.32%)  

5.  1ply  Bar/22 14/9  eq: +0.018 (0.791) 
 Player: Opponent:  53.86% (G:19.01% B:0.87%) 46.14% (G:13.96% B:0.99%)  



63: Bar/19 6/3 


1.  XG Roller++  Bar/19 6/3  eq: 0.751 
 Player: Opponent:  30.35% (G:5.23% B:0.18%) 69.65% (G:27.19% B:1.04%)  

2.  XG Roller++  Bar/16  eq: 0.771 (0.021) 
 Player: Opponent:  29.91% (G:4.83% B:0.19%) 70.09% (G:25.38% B:0.97%)  

3.  3ply  Bar/19 13/10  eq: 0.840 (0.090) 
 Player: Opponent:  29.67% (G:4.81% B:0.17%) 70.33% (G:31.26% B:1.48%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
69.57% (G:26.82% B:1.10%) 
69.49% (G:28.05% B:1.23%) 
Opponent Winning Chances: 
30.43% (G:5.61% B:0.21%) 
30.51% (G:5.57% B:0.20%) 
Cubeless Equities 
+0.840 
+1.196 
Cubeful Equities 
No double:  +0.754  
Double/Take:  +0.555 (0.199)  
Double/Pass:  +1.000 (+0.246) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 30.9% 


61: 14/8 7/6* 


1.  XG Roller++  20/14 7/6*  eq: +0.816 
 Player: Opponent:  71.04% (G:30.88% B:1.34%) 28.96% (G:5.88% B:0.28%)  

2.  XG Roller++  14/8 7/6*  eq: +0.687 (0.129) 
 Player: Opponent:  67.91% (G:29.88% B:1.28%) 32.09% (G:6.23% B:0.27%)  

3.  2ply  11/5 7/6*  eq: +0.677 (0.139) 
 Player: Opponent:  66.85% (G:27.98% B:1.23%) 33.15% (G:5.64% B:0.17%)  

4.  2ply  20/14 11/10  eq: +0.518 (0.298) 
 Player: Opponent:  64.14% (G:19.02% B:0.86%) 35.86% (G:8.04% B:0.29%)  

5.  1ply  14/7  eq: +0.476 (0.340) 
 Player: Opponent:  63.06% (G:18.02% B:0.72%) 36.94% (G:5.72% B:0.17%)  



32: Bar/23 6/3 


1.  3ply  Bar/23 6/3  eq: 0.711 
 Player: Opponent:  31.35% (G:5.45% B:0.18%) 68.65% (G:21.77% B:0.86%)  

2.  2ply  Bar/23 13/10  eq: 0.961 (0.250) 
 Player: Opponent:  26.65% (G:4.70% B:0.22%) 73.35% (G:33.36% B:1.71%)  



32: 11/6 


1.  3ply  11/6  eq: +0.790 
 Player: Opponent:  70.94% (G:21.87% B:0.87%) 29.06% (G:4.42% B:0.13%)  

2.  2ply  8/6 7/4  eq: +0.625 (0.166) 
 Player: Opponent:  65.81% (G:21.42% B:0.77%) 34.19% (G:5.21% B:0.15%)  

3.  2ply  11/8 6/4  eq: +0.599 (0.191) 
 Player: Opponent:  65.82% (G:18.93% B:0.75%) 34.18% (G:5.33% B:0.11%)  

4.  1ply  8/5 6/4  eq: +0.458 (0.332) 
 Player: Opponent:  62.57% (G:19.62% B:0.71%) 37.43% (G:6.52% B:0.17%)  

5.  1ply  11/9 8/5  eq: +0.436 (0.354) 
 Player: Opponent:  62.19% (G:19.59% B:0.73%) 37.81% (G:7.08% B:0.26%)  



21: 6/3 


1.  XG Roller++  13/12 6/4  eq: 0.813 
 Player: Opponent:  29.29% (G:4.79% B:0.17%) 70.71% (G:32.13% B:1.94%)  

2.  XG Roller++  6/3  eq: 0.972 (0.160) 
 Player: Opponent:  24.76% (G:3.32% B:0.09%) 75.24% (G:26.63% B:1.21%)  

3.  3ply  13/10  eq: 0.990 (0.177) 
 Player: Opponent:  26.29% (G:3.74% B:0.13%) 73.71% (G:34.76% B:1.70%)  

4.  3ply  8/7 8/6  eq: 1.051 (0.238) 
 Player: Opponent:  23.61% (G:2.91% B:0.09%) 76.39% (G:31.00% B:1.41%)  

5.  2ply  6/4 2/1  eq: 1.105 (0.292) 
 Player: Opponent:  20.98% (G:2.95% B:0.09%) 79.02% (G:28.54% B:1.25%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
74.88% (G:26.97% B:1.25%) 
74.06% (G:32.61% B:1.84%) 
Opponent Winning Chances: 
25.12% (G:3.45% B:0.09%) 
25.94% (G:3.89% B:0.12%) 
Cubeless Equities 
+0.983 
+1.487 
Cubeful Equities 
No double:  +0.914 (0.005)  
Double/Take:  +0.919  
Double/Pass:  +1.000 (+0.081) 

Best Cube action: Double / Take 


31: 8/4 


1.  3ply  8/4  eq: +0.978 
 Player: Opponent:  75.68% (G:24.39% B:0.97%) 24.32% (G:3.13% B:0.08%)  

2.  2ply  8/5 7/6  eq: +0.794 (0.184) 
 Player: Opponent:  69.62% (G:22.92% B:0.80%) 30.38% (G:3.97% B:0.07%)  

3.  2ply  7/6 7/4  eq: +0.771 (0.207) 
 Player: Opponent:  69.25% (G:23.07% B:0.80%) 30.75% (G:4.28% B:0.08%)  

4.  1ply  7/3  eq: +0.581 (0.397) 
 Player: Opponent:  65.36% (G:22.45% B:0.83%) 34.64% (G:6.27% B:0.22%)  

5.  1ply  8/5 4/3  eq: +0.541 (0.437) 
 Player: Opponent:  64.48% (G:20.88% B:0.76%) 35.52% (G:6.12% B:0.14%)  



54: 13/4 


1.  3ply  13/4  eq: 1.005 
 Player: Opponent:  22.69% (G:2.85% B:0.09%) 77.31% (G:23.94% B:0.95%)  

2.  2ply  8/4 8/3  eq: 1.164 (0.158) 
 Player: Opponent:  17.77% (G:1.81% B:0.04%) 82.23% (G:25.77% B:1.18%)  

3.  2ply  6/2 6/1  eq: 1.314 (0.309) 
 Player: Opponent:  12.89% (G:1.01% B:0.02%) 87.11% (G:29.11% B:1.27%)  

4.  2ply  13/9 13/8  eq: 1.326 (0.320) 
 Player: Opponent:  18.85% (G:1.96% B:0.05%) 81.15% (G:40.11% B:2.27%)  

5.  1ply  13/8 6/2  eq: 1.378 (0.373) 
 Player: Opponent:  13.73% (G:1.04% B:0.02%) 86.27% (G:35.26% B:1.50%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
76.10% (G:26.20% B:1.30%) 
75.02% (G:34.63% B:2.18%) 
Opponent Winning Chances: 
23.90% (G:3.09% B:0.09%) 
24.98% (G:3.53% B:0.10%) 
Cubeless Equities 
+0.997 
+1.547 
Cubeful Equities 
No double:  +0.942 (0.054)  
Double/Take:  +0.995  
Double/Pass:  +1.000 (+0.005) 

Best Cube action: Double / Take 


41: 20/16 4/3 


1.  XG Roller++  20/15  eq: +0.976 
 Player: Opponent:  76.93% (G:25.16% B:1.16%) 23.07% (G:2.99% B:0.10%)  

2.  XG Roller++  20/16 4/3  eq: +0.933 (0.043) 
 Player: Opponent:  75.53% (G:26.68% B:1.28%) 24.47% (G:3.59% B:0.12%)  

3.  2ply  7/6 7/3  eq: +0.786 (0.191) 
 Player: Opponent:  69.89% (G:23.71% B:0.77%) 30.11% (G:4.83% B:0.09%)  

4.  1ply  20/16 7/6  eq: +0.647 (0.329) 
 Player: Opponent:  67.04% (G:25.81% B:1.17%) 32.96% (G:7.84% B:0.47%)  

5.  1ply  7/3 4/3  eq: +0.543 (0.433) 
 Player: Opponent:  64.45% (G:22.31% B:0.94%) 35.55% (G:6.61% B:0.17%)  



61: 23/17 3/2 


1.  XG Roller++  23/17 3/2  eq: 0.924 
 Player: Opponent:  25.50% (G:2.95% B:0.08%) 74.50% (G:24.62% B:0.98%)  

2.  XG Roller++  23/16  eq: 0.976 (0.052) 
 Player: Opponent:  24.69% (G:2.65% B:0.07%) 75.31% (G:24.86% B:0.96%)  

3.  3ply  23/17 4/3  eq: 1.054 (0.130) 
 Player: Opponent:  21.19% (G:1.99% B:0.07%) 78.81% (G:22.83% B:0.77%)  

4.  3ply  23/17 2/1  eq: 1.083 (0.159) 
 Player: Opponent:  19.86% (G:2.09% B:0.08%) 80.14% (G:24.56% B:0.92%)  

5.  2ply  23/17 8/7  eq: 1.264 (0.340) 
 Player: Opponent:  21.40% (G:1.89% B:0.06%) 78.60% (G:43.04% B:2.90%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
74.12% (G:25.16% B:1.09%) 
73.23% (G:32.59% B:1.82%) 
Opponent Winning Chances: 
25.88% (G:3.03% B:0.08%) 
26.77% (G:3.43% B:0.09%) 
Cubeless Equities 
+0.938 
+1.453 
Cubeful Equities 
No double:  +0.883  
Double/Take:  +0.853 (0.030)  
Double/Pass:  +1.000 (+0.117) 

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


42: 20/16 3/1 


1.  XG Roller++  20/16 3/1  eq: +0.856 
 Player: Opponent:  74.16% (G:19.91% B:0.67%) 25.84% (G:2.81% B:0.09%)  

2.  XG Roller++  20/16 7/5  eq: +0.807 (0.048) 
 Player: Opponent:  72.26% (G:23.97% B:0.93%) 27.74% (G:3.80% B:0.13%)  

3.  4ply  16/10  eq: +0.838 (0.018) 
 Player: Opponent:  73.53% (G:21.45% B:0.85%) 26.47% (G:3.50% B:0.11%)  

4.  3ply  20/14  eq: +0.807 (0.049) 
 Player: Opponent:  72.73% (G:21.75% B:1.01%) 27.27% (G:4.24% B:0.10%)  

5.  2ply  7/5 7/3  eq: +0.629 (0.227) 
 Player: Opponent:  66.34% (G:23.68% B:0.91%) 33.66% (G:6.00% B:0.21%)  



63: 17/8 


1.  XG Roller++  17/8  eq: 1.000 
 Player: Opponent:  20.93% (G:1.64% B:0.04%) 79.07% (G:13.96% B:0.49%)  

2.  XG Roller++  17/11 8/5  eq: 1.000 
 Player: Opponent:  24.43% (G:2.27% B:0.06%) 75.57% (G:22.06% B:0.87%)  

3.  4ply  8/5 8/2  eq: 1.044 (0.044) 
 Player: Opponent:  19.37% (G:1.74% B:0.03%) 80.63% (G:20.05% B:0.64%)  

4.  3ply  13/4  eq: 1.098 (0.098) 
 Player: Opponent:  22.77% (G:2.08% B:0.08%) 77.23% (G:29.95% B:1.18%)  

5.  3ply  8/2 4/1  eq: 1.107 (0.107) 
 Player: Opponent:  17.10% (G:1.33% B:0.03%) 82.90% (G:20.11% B:0.63%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
79.05% (G:14.50% B:0.53%) 
77.60% (G:20.15% B:0.88%) 
Opponent Winning Chances: 
20.95% (G:1.76% B:0.05%) 
22.40% (G:2.27% B:0.07%) 
Cubeless Equities 
+0.843 
+1.719 
Cubeful Equities 
No double:  +0.929 (0.071)  
Double/Take:  +1.201 (+0.201)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


52: 16/9 


1.  XG Roller++  16/9  eq: +0.919 
 Player: Opponent:  78.44% (G:16.11% B:0.58%) 21.56% (G:1.90% B:0.07%)  

2.  XG Roller++  16/14 16/11  eq: +0.910 (0.009) 
 Player: Opponent:  78.95% (G:14.12% B:0.50%) 21.05% (G:1.71% B:0.06%)  

3.  2ply  16/11 7/5  eq: +0.796 (0.124) 
 Player: Opponent:  73.25% (G:15.68% B:0.36%) 26.75% (G:4.31% B:0.21%)  

4.  1ply  16/11 6/4  eq: +0.546 (0.373) 
 Player: Opponent:  66.01% (G:13.13% B:0.37%) 33.99% (G:6.70% B:0.29%)  

5.  1ply  6/4 6/1  eq: +0.483 (0.437) 
 Player: Opponent:  64.21% (G:10.23% B:0.22%) 35.79% (G:4.91% B:0.06%)  



42: 13/9* 4/2 


1.  XG Roller++  13/9* 8/6  eq: 0.875 
 Player: Opponent:  27.89% (G:2.80% B:0.07%) 72.11% (G:29.39% B:1.73%)  

2.  XG Roller++  13/9* 4/2  eq: 1.000 (0.125) 
 Player: Opponent:  22.19% (G:1.56% B:0.04%) 77.81% (G:15.88% B:0.53%)  

3.  4ply  8/6 8/4  eq: 1.000 (0.125) 
 Player: Opponent:  19.54% (G:1.02% B:0.01%) 80.46% (G:9.70% B:0.21%)  

4.  3ply  13/11 13/9*  eq: 0.967 (0.091) 
 Player: Opponent:  25.93% (G:2.75% B:0.13%) 74.07% (G:28.68% B:1.32%)  

5.  3ply  8/4 3/1  eq: 1.010 (0.134) 
 Player: Opponent:  16.20% (G:0.60% B:0.02%) 83.80% (G:10.37% B:0.27%)  



Double/Take 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
77.87% (G:15.80% B:0.53%) 
76.54% (G:23.92% B:1.01%) 
Opponent Winning Chances: 
22.13% (G:1.44% B:0.04%) 
23.46% (G:1.89% B:0.04%) 
Cubeless Equities 
+0.850 
+1.672 
Cubeful Equities 
No double:  +0.935 (0.065)  
Double/Take:  +1.117 (+0.117)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


54: Bar/16* 


1.  3ply  Bar/16*  eq: +0.648 
 Player: Opponent:  88.08% (G:46.15% B:1.83%) 11.92% (G:0.42% B:0.00%)  

2.  2ply  Bar/21 9/4  eq: +0.334 (0.314) 
 Player: Opponent:  77.44% (G:22.48% B:0.86%) 22.56% (G:1.30% B:0.05%)  

3.  2ply  Bar/20 9/5  eq: +0.320 (0.328) 
 Player: Opponent:  76.98% (G:21.64% B:0.82%) 23.02% (G:1.24% B:0.05%)  

4.  1ply  Bar/20 7/3  eq: 0.079 (0.727) 
 Player: Opponent:  63.46% (G:17.73% B:0.56%) 36.54% (G:7.23% B:0.26%)  

5.  1ply  Bar/20 5/1  eq: 0.236 (0.884) 
 Player: Opponent:  58.15% (G:13.20% B:0.40%) 41.85% (G:8.98% B:0.29%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
14.31% (G:0.33% B:0.01%) 
14.31% (G:0.33% B:0.01%) 
Opponent Winning Chances: 
85.69% (G:46.36% B:1.85%) 
85.69% (G:46.35% B:1.85%) 
Cubeless Equities 
0.711 
0.578 
Cubeful Equities 
No redouble:  0.577  
Redouble/Take:  0.577  
Redouble/Pass:  +1.000 (+1.577) 

Best Cube action: Redouble / Take 


22: Bar/23 13/9* 8/6 


1.  4ply  Bar/23 13/9* 8/6  eq: 0.458 
 Player: Opponent:  18.36% (G:1.35% B:0.02%) 81.64% (G:23.76% B:0.92%)  

2.  4ply  Bar/23 13/9* 9/7  eq: 0.529 (0.071) 
 Player: Opponent:  15.96% (G:1.03% B:0.02%) 84.04% (G:27.33% B:0.96%)  

3.  2ply  Bar/23 8/6 8/4  eq: 0.651 (0.193) 
 Player: Opponent:  11.81% (G:0.33% B:0.00%) 88.19% (G:32.45% B:1.32%)  

4.  2ply  Bar/23 13/11 8/4  eq: 0.658 (0.200) 
 Player: Opponent:  11.58% (G:0.33% B:0.00%) 88.42% (G:30.44% B:1.08%)  

5.  2ply  Bar/23 13/11 8/6(2)  eq: 0.675 (0.217) 
 Player: Opponent:  11.02% (G:0.27% B:0.00%) 88.98% (G:28.95% B:1.07%)  



51: Bar/24 9/4 


1.  4ply  Bar/24 9/4  eq: +0.312 
 Player: Opponent:  76.69% (G:22.69% B:0.82%) 23.31% (G:1.73% B:0.07%)  

2.  4ply  Bar/20 9/8  eq: +0.268 (0.044) 
 Player: Opponent:  75.20% (G:26.94% B:1.34%) 24.80% (G:3.57% B:0.10%)  

3.  2ply  Bar/20 7/6  eq: 0.035 (0.346) 
 Player: Opponent:  64.96% (G:21.86% B:1.04%) 35.04% (G:7.86% B:0.35%)  

4.  1ply  Bar/20 6/5  eq: +0.011 (0.300) 
 Player: Opponent:  66.52% (G:17.87% B:0.66%) 33.48% (G:6.77% B:0.25%)  

5.  1ply  Bar/20 5/4  eq: 0.014 (0.325) 
 Player: Opponent:  65.67% (G:17.52% B:0.64%) 34.33% (G:6.93% B:0.25%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
23.09% (G:1.70% B:0.04%) 
23.08% (G:1.68% B:0.04%) 
Opponent Winning Chances: 
76.91% (G:25.11% B:1.01%) 
76.92% (G:25.09% B:1.01%) 
Cubeless Equities 
0.522 
0.318 
Cubeful Equities 
No redouble:  0.318  
Redouble/Take:  0.318  
Redouble/Pass:  +1.000 (+1.318) 

Best Cube action: Redouble / Take 


63: 23/14 


1.  4ply  23/14  eq: 0.320 
 Player: Opponent:  23.03% (G:1.46% B:0.03%) 76.97% (G:21.66% B:0.83%)  

2.  4ply  23/17 9/6  eq: 0.382 (0.062) 
 Player: Opponent:  20.93% (G:1.13% B:0.02%) 79.07% (G:16.50% B:0.48%)  

3.  4ply  23/17 8/5  eq: 0.388 (0.068) 
 Player: Opponent:  20.72% (G:1.21% B:0.02%) 79.28% (G:37.43% B:2.49%)  

4.  3ply  23/17 6/3  eq: 0.413 (0.093) 
 Player: Opponent:  19.88% (G:1.03% B:0.04%) 80.12% (G:22.39% B:0.74%)  

5.  2ply  9/3 8/5  eq: 0.609 (0.289) 
 Player: Opponent:  13.24% (G:0.51% B:0.00%) 86.76% (G:33.37% B:1.42%)  



41: 24/20 4/3 


1.  3ply  24/20 4/3  eq: +0.248 
 Player: Opponent:  74.53% (G:23.04% B:1.14%) 25.47% (G:1.84% B:0.03%)  

2.  3ply  7/6 7/3  eq: +0.167 (0.081) 
 Player: Opponent:  71.79% (G:17.42% B:0.51%) 28.21% (G:1.48% B:0.02%)  

3.  2ply  24/20 7/6  eq: 0.089 (0.337) 
 Player: Opponent:  63.13% (G:21.51% B:1.02%) 36.87% (G:4.94% B:0.16%)  

4.  1ply  24/20 6/5  eq: 0.100 (0.348) 
 Player: Opponent:  62.75% (G:13.39% B:0.47%) 37.25% (G:5.31% B:0.15%)  

5.  1ply  5/4 5/1  eq: 0.119 (0.367) 
 Player: Opponent:  62.12% (G:10.42% B:0.27%) 37.88% (G:2.81% B:0.04%)  



Double/Take 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
27.06% (G:2.21% B:0.07%) 
27.06% (G:2.21% B:0.07%) 
Opponent Winning Chances: 
72.94% (G:25.21% B:1.10%) 
72.94% (G:25.27% B:1.10%) 
Cubeless Equities 
0.438 
0.201 
Cubeful Equities 
No redouble:  0.201  
Redouble/Take:  0.201  
Redouble/Pass:  +1.000 (+1.201) 

Best Cube action: Redouble / Take 


54: 14/5* 


1.  3ply  14/5*  eq: 0.499 
 Player: Opponent:  25.03% (G:1.71% B:0.07%) 74.97% (G:26.27% B:0.97%)  

2.  3ply  9/5* 8/3  eq: 0.598 (0.099) 
 Player: Opponent:  20.08% (G:0.94% B:0.04%) 79.92% (G:30.24% B:1.50%)  

3.  3ply  9/5* 6/1  eq: 0.617 (0.117) 
 Player: Opponent:  19.17% (G:1.14% B:0.04%) 80.83% (G:34.47% B:1.43%)  

4.  3ply  9/4 8/4  eq: 0.629 (0.130) 
 Player: Opponent:  18.53% (G:0.67% B:0.03%) 81.47% (G:22.99% B:0.92%)  

5.  3ply  14/9 6/2  eq: 0.656 (0.156) 
 Player: Opponent:  17.22% (G:0.55% B:0.02%) 82.78% (G:13.15% B:0.33%)  



21: Bar/24 3/1 


1.  3ply  Bar/24 3/1  eq: +0.330 
 Player: Opponent:  66.52% (G:14.58% B:0.45%) 33.48% (G:2.95% B:0.08%)  

2.  3ply  Bar/24 7/5  eq: +0.167 (0.163) 
 Player: Opponent:  58.35% (G:15.39% B:0.55%) 41.65% (G:6.11% B:0.18%)  

3.  2ply  Bar/24 6/4  eq: +0.076 (0.254) 
 Player: Opponent:  53.80% (G:13.87% B:0.43%) 46.20% (G:8.35% B:0.33%)  

4.  1ply  Bar/24 5/3  eq: +0.032 (0.298) 
 Player: Opponent:  51.60% (G:10.83% B:0.33%) 48.40% (G:9.02% B:0.25%)  



41: 9/5 6/5 


1.  XG Roller++  9/5 2/1*  eq: 0.225 
 Player: Opponent:  38.73% (G:4.75% B:0.11%) 61.27% (G:13.26% B:0.32%)  

2.  XG Roller++  9/5 6/5  eq: 0.277 (0.052) 
 Player: Opponent:  36.13% (G:3.66% B:0.12%) 63.87% (G:7.63% B:0.14%)  

3.  4ply  8/4 6/5  eq: 0.306 (0.081) 
 Player: Opponent:  34.68% (G:4.17% B:0.12%) 65.32% (G:22.77% B:0.96%)  

4.  3ply  9/5 8/7  eq: 0.304 (0.079) 
 Player: Opponent:  34.79% (G:3.68% B:0.17%) 65.21% (G:17.38% B:0.48%)  

5.  3ply  5/1* 2/1  eq: 0.339 (0.113) 
 Player: Opponent:  33.07% (G:2.86% B:0.06%) 66.93% (G:11.67% B:0.27%)  



61: 7/6 7/1 


1.  XG Roller++  24/18 7/6  eq: +0.173 
 Player: Opponent:  58.67% (G:8.78% B:0.17%) 41.33% (G:6.29% B:0.18%)  

2.  XG Roller++  7/6 7/1  eq: +0.097 (0.076) 
 Player: Opponent:  54.85% (G:8.07% B:0.12%) 45.15% (G:3.67% B:0.12%)  

3.  4ply  24/18 6/5  eq: +0.098 (0.075) 
 Player: Opponent:  54.91% (G:6.83% B:0.12%) 45.09% (G:8.86% B:0.25%)  

4.  3ply  24/18 5/4  eq: +0.063 (0.110) 
 Player: Opponent:  53.17% (G:6.86% B:0.15%) 46.83% (G:8.86% B:0.21%)  

5.  3ply  24/18 4/3  eq: +0.054 (0.120) 
 Player: Opponent:  52.68% (G:7.24% B:0.16%) 47.32% (G:9.00% B:0.19%)  



31: 8/5 2/1* 


1.  4ply  8/5 2/1*  eq: 0.214 
 Player: Opponent:  39.30% (G:2.10% B:0.03%) 60.70% (G:13.14% B:0.34%)  

2.  4ply  8/4  eq: 0.255 (0.041) 
 Player: Opponent:  37.23% (G:4.26% B:0.10%) 62.77% (G:16.00% B:0.42%)  

3.  4ply  5/1*  eq: 0.263 (0.049) 
 Player: Opponent:  36.87% (G:1.98% B:0.03%) 63.13% (G:12.93% B:0.27%)  

4.  3ply  8/7 8/5  eq: 0.284 (0.070) 
 Player: Opponent:  35.81% (G:3.18% B:0.09%) 64.19% (G:13.83% B:0.24%)  

5.  3ply  8/7 5/2  eq: 0.347 (0.134) 
 Player: Opponent:  32.63% (G:2.81% B:0.10%) 67.37% (G:18.03% B:0.40%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 0.040 
 Player: Opponent:  47.98% (G:7.05% B:0.17%) 52.02% (G:2.08% B:0.02%)  



53: 23/18 8/5 


1.  XG Roller++  23/15  eq: 0.068 
 Player: Opponent:  46.60% (G:2.07% B:0.04%) 53.40% (G:13.71% B:0.37%)  

2.  XG Roller++  23/18 8/5  eq: 0.151 (0.083) 
 Player: Opponent:  42.47% (G:1.78% B:0.03%) 57.53% (G:10.58% B:0.18%)  

3.  3ply  23/18 5/2  eq: 0.132 (0.064) 
 Player: Opponent:  43.38% (G:1.80% B:0.06%) 56.62% (G:16.10% B:0.42%)  

4.  2ply  8/3 5/2  eq: 0.322 (0.254) 
 Player: Opponent:  33.92% (G:1.00% B:0.00%) 66.08% (G:9.51% B:0.20%)  

5.  1ply  6/3 6/1  eq: 0.471 (0.403) 
 Player: Opponent:  26.43% (G:0.65% B:0.01%) 73.57% (G:8.37% B:0.11%)  



55: Cannot Move 


1.  3ply  Cannot Move  eq: 0.204 
 Player: Opponent:  39.81% (G:3.67% B:0.08%) 60.19% (G:1.70% B:0.02%)  



31: 18/15 2/1 


1.  XG Roller++  18/15 2/1  eq: +0.233 
 Player: Opponent:  61.63% (G:1.10% B:0.01%) 38.37% (G:1.36% B:0.02%)  

2.  XG Roller++  5/1  eq: +0.196 (0.037) 
 Player: Opponent:  59.79% (G:1.09% B:0.01%) 40.21% (G:1.72% B:0.03%)  

3.  2ply  18/14  eq: 0.110 (0.343) 
 Player: Opponent:  44.49% (G:1.77% B:0.02%) 55.51% (G:9.47% B:0.24%)  

4.  2ply  18/15 5/4  eq: 0.142 (0.375) 
 Player: Opponent:  42.88% (G:2.16% B:0.01%) 57.12% (G:20.46% B:0.68%)  

5.  2ply  18/17 5/2  eq: 0.159 (0.391) 
 Player: Opponent:  42.07% (G:1.48% B:0.01%) 57.93% (G:10.55% B:0.27%)  



21: Cannot Move 


1.  3ply  Cannot Move  eq: 0.420 
 Player: Opponent:  29.01% (G:0.86% B:0.02%) 70.99% (G:1.51% B:0.01%)  



55: 23/13 15/5 


1.  XG Roller++  23/13 15/5  eq: +0.653 
 Player: Opponent:  82.67% (G:0.91% B:0.01%) 17.33% (G:0.05% B:0.00%)  

2.  XG Roller++  23/8 15/10  eq: +0.631 (0.023) 
 Player: Opponent:  81.53% (G:1.23% B:0.01%) 18.47% (G:0.13% B:0.00%)  

3.  XG Roller++  23/3  eq: +0.626 (0.028) 
 Player: Opponent:  81.28% (G:0.99% B:0.01%) 18.72% (G:0.12% B:0.00%)  

4.  1ply  23/13 6/1(2)  eq: +0.225 (0.428) 
 Player: Opponent:  61.25% (G:0.39% B:0.01%) 38.75% (G:1.25% B:0.00%)  

5.  1ply  23/18 15/10 6/1(2)  eq: +0.160 (0.493) 
 Player: Opponent:  58.00% (G:0.45% B:0.01%) 42.00% (G:1.73% B:0.01%)  



43: Bar/21 6/3 


1.  XG Roller++  Bar/18  eq: 0.415 
 Player: Opponent:  29.25% (G:0.09% B:0.00%) 70.75% (G:0.48% B:0.00%)  

2.  XG Roller++  Bar/21 6/3  eq: 0.449 (0.034) 
 Player: Opponent:  27.55% (G:0.34% B:0.00%) 72.45% (G:0.80% B:0.01%)  

3.  3ply  Bar/21 5/2  eq: 0.516 (0.101) 
 Player: Opponent:  24.20% (G:0.31% B:0.00%) 75.80% (G:2.01% B:0.02%)  

4.  3ply  Bar/21 4/1  eq: 0.549 (0.134) 
 Player: Opponent:  22.53% (G:0.22% B:0.00%) 77.47% (G:1.31% B:0.01%)  



43: 13/6 


1.  3ply  13/6  eq: +0.331 
 Player: Opponent:  66.54% (G:0.09% B:0.00%) 33.46% (G:0.00% B:0.00%)  

2.  3ply  5/2 5/1  eq: +0.178 (0.153) 
 Player: Opponent:  58.88% (G:0.41% B:0.00%) 41.12% (G:0.21% B:0.00%)  

3.  2ply  6/3 6/2  eq: +0.080 (0.251) 
 Player: Opponent:  53.98% (G:0.15% B:0.00%) 46.02% (G:0.19% B:0.00%)  

4.  1ply  13/9 5/2  eq: 0.086 (0.417) 
 Player: Opponent:  45.69% (G:0.28% B:0.00%) 54.31% (G:0.51% B:0.00%)  

5.  1ply  13/10 5/1  eq: 0.122 (0.453) 
 Player: Opponent:  43.91% (G:0.28% B:0.00%) 56.09% (G:0.60% B:0.00%)  



53: 21/13 


1.  XG Roller++  21/13  eq: 0.325 
 Player: Opponent:  33.75% (G:0.00% B:0.00%) 66.25% (G:0.00% B:0.00%)  

2.  XG Roller++  6/3 6/1  eq: 0.679 (0.354) 
 Player: Opponent:  16.05% (G:0.00% B:0.00%) 83.95% (G:0.69% B:0.01%)  

3.  4ply  21/16 5/2  eq: 0.366 (0.041) 
 Player: Opponent:  31.69% (G:0.00% B:0.00%) 68.31% (G:0.00% B:0.00%)  

4.  4ply  21/16 6/3  eq: 0.394 (0.069) 
 Player: Opponent:  30.29% (G:0.00% B:0.00%) 69.71% (G:0.00% B:0.00%)  

5.  3ply  21/16 4/1  eq: 0.467 (0.142) 
 Player: Opponent:  26.67% (G:0.00% B:0.00%) 73.33% (G:0.00% B:0.00%)  



42: 6/Off 


1.  XG Roller++  6/Off  eq: +0.166 
 Player: Opponent:  58.28% (G:0.00% B:0.00%) 41.72% (G:0.00% B:0.00%)  

2.  XG Roller++  5/1 2/Off  eq: +0.160 (0.006) 
 Player: Opponent:  58.00% (G:0.00% B:0.00%) 42.00% (G:0.00% B:0.00%)  

3.  XG Roller++  6/4 5/1  eq: +0.152 (0.014) 
 Player: Opponent:  57.58% (G:0.00% B:0.00%) 42.42% (G:0.00% B:0.00%)  

4.  XG Roller++  6/4 6/2  eq: +0.138 (0.028) 
 Player: Opponent:  56.89% (G:0.00% B:0.00%) 43.11% (G:0.00% B:0.00%)  

5.  3ply  6/2 5/3  eq: +0.096 (0.069) 
 Player: Opponent:  54.81% (G:0.00% B:0.00%) 45.19% (G:0.00% B:0.00%)  



52: 13/6 


1.  XG Roller++  13/6  eq: 0.221 
 Player: Opponent:  38.93% (G:0.00% B:0.00%) 61.07% (G:0.00% B:0.00%)  

2.  XG Roller++  13/8 6/4  eq: 0.255 (0.034) 
 Player: Opponent:  37.24% (G:0.00% B:0.00%) 62.76% (G:0.00% B:0.00%)  

3.  XG Roller++  13/8 4/2  eq: 0.257 (0.035) 
 Player: Opponent:  37.17% (G:0.00% B:0.00%) 62.83% (G:0.00% B:0.00%)  

4.  XG Roller++  6/1 4/2  eq: 0.464 (0.242) 
 Player: Opponent:  26.82% (G:0.00% B:0.00%) 73.18% (G:0.00% B:0.00%)  

5.  3ply  13/8 5/3  eq: 0.319 (0.097) 
 Player: Opponent:  34.07% (G:0.00% B:0.00%) 65.93% (G:0.00% B:0.00%)  



62: 6/Off 2/Off 


1.  4ply  6/Off 2/Off  eq: +0.219 
 Player: Opponent:  60.95% (G:0.00% B:0.00%) 39.05% (G:0.00% B:0.00%)  

2.  4ply  6/4 6/Off  eq: +0.200 (0.019) 
 Player: Opponent:  60.00% (G:0.00% B:0.00%) 40.00% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/3  eq: +0.163 (0.057) 
 Player: Opponent:  58.13% (G:0.00% B:0.00%) 41.87% (G:0.00% B:0.00%)  

4.  2ply  6/Off 3/1  eq: +0.044 (0.175) 
 Player: Opponent:  52.20% (G:0.00% B:0.00%) 47.80% (G:0.00% B:0.00%)  



54: 5/Off 4/Off 


1.  4ply  5/Off 4/Off  eq: 0.239 
 Player: Opponent:  38.04% (G:0.00% B:0.00%) 61.96% (G:0.00% B:0.00%)  

2.  4ply  6/2 5/Off  eq: 0.247 (0.008) 
 Player: Opponent:  37.65% (G:0.00% B:0.00%) 62.35% (G:0.00% B:0.00%)  

3.  4ply  6/2 6/1  eq: 0.420 (0.181) 
 Player: Opponent:  29.01% (G:0.00% B:0.00%) 70.99% (G:0.00% B:0.00%)  

4.  3ply  6/1 4/Off  eq: 0.386 (0.147) 
 Player: Opponent:  30.71% (G:0.00% B:0.00%) 69.29% (G:0.00% B:0.00%)  

5.  2ply  5/1 5/Off  eq: 0.476 (0.237) 
 Player: Opponent:  26.20% (G:0.00% B:0.00%) 73.80% (G:0.00% B:0.00%)  



53: 5/Off 3/Off 


1.  4ply  5/Off 3/Off  eq: +0.301 
 Player: Opponent:  65.07% (G:0.00% B:0.00%) 34.93% (G:0.00% B:0.00%)  

2.  4ply  5/2 5/Off  eq: +0.248 (0.054) 
 Player: Opponent:  62.38% (G:0.00% B:0.00%) 37.62% (G:0.00% B:0.00%)  

3.  4ply  6/1 5/2  eq: +0.010 (0.292) 
 Player: Opponent:  50.49% (G:0.00% B:0.00%) 49.51% (G:0.00% B:0.00%)  

4.  3ply  6/3 5/Off  eq: +0.154 (0.148) 
 Player: Opponent:  57.69% (G:0.00% B:0.00%) 42.31% (G:0.00% B:0.00%)  

5.  2ply  6/1 3/Off  eq: +0.054 (0.248) 
 Player: Opponent:  52.68% (G:0.00% B:0.00%) 47.32% (G:0.00% B:0.00%)  



51: 5/Off 1/Off 


1.  4ply  5/Off 1/Off  eq: 0.395 
 Player: Opponent:  30.27% (G:0.00% B:0.00%) 69.73% (G:0.00% B:0.00%)  

2.  4ply  6/Off  eq: 0.481 (0.087) 
 Player: Opponent:  25.95% (G:0.00% B:0.00%) 74.05% (G:0.00% B:0.00%)  

3.  4ply  6/1 3/2  eq: 0.607 (0.213) 
 Player: Opponent:  19.64% (G:0.00% B:0.00%) 80.36% (G:0.00% B:0.00%)  

4.  3ply  5/Off 3/2  eq: 0.534 (0.140) 
 Player: Opponent:  23.29% (G:0.00% B:0.00%) 76.71% (G:0.00% B:0.00%)  

5.  2ply  5/Off 4/3  eq: 0.605 (0.210) 
 Player: Opponent:  19.76% (G:0.00% B:0.00%) 80.24% (G:0.00% B:0.00%)  



42: 6/Off 


1.  4ply  6/Off  eq: +0.192 
 Player: Opponent:  59.61% (G:0.00% B:0.00%) 40.39% (G:0.00% B:0.00%)  

2.  4ply  5/1 2/Off  eq: +0.175 (0.017) 
 Player: Opponent:  58.75% (G:0.00% B:0.00%) 41.25% (G:0.00% B:0.00%)  

3.  4ply  6/4 5/1  eq: +0.153 (0.039) 
 Player: Opponent:  57.65% (G:0.00% B:0.00%) 42.35% (G:0.00% B:0.00%)  

4.  4ply  6/2 5/3  eq: +0.136 (0.056) 
 Player: Opponent:  56.79% (G:0.00% B:0.00%) 43.21% (G:0.00% B:0.00%)  

5.  3ply  5/3 5/1  eq: +0.127 (0.065) 
 Player: Opponent:  56.34% (G:0.00% B:0.00%) 43.66% (G:0.00% B:0.00%)  



21: 6/4 1/Off 


1.  4ply  6/4 1/Off  eq: 0.420 
 Player: Opponent:  29.00% (G:0.00% B:0.00%) 71.00% (G:0.00% B:0.00%)  

2.  4ply  6/5 6/4  eq: 0.523 (0.103) 
 Player: Opponent:  23.86% (G:0.00% B:0.00%) 76.14% (G:0.00% B:0.00%)  

3.  3ply  4/2 1/Off  eq: 0.502 (0.082) 
 Player: Opponent:  24.92% (G:0.00% B:0.00%) 75.08% (G:0.00% B:0.00%)  

4.  3ply  3/Off  eq: 0.527 (0.107) 
 Player: Opponent:  23.64% (G:0.00% B:0.00%) 76.36% (G:0.00% B:0.00%)  

5.  3ply  6/4 3/2  eq: 0.561 (0.142) 
 Player: Opponent:  21.93% (G:0.00% B:0.00%) 78.07% (G:0.00% B:0.00%)  



61: 5/Off 1/Off 


1.  4ply  5/Off 1/Off  eq: +0.468 
 Player: Opponent:  73.41% (G:0.00% B:0.00%) 26.59% (G:0.00% B:0.00%)  

2.  4ply  5/4 5/Off  eq: +0.431 (0.037) 
 Player: Opponent:  71.55% (G:0.00% B:0.00%) 28.45% (G:0.00% B:0.00%)  

3.  2ply  5/Off 3/2  eq: +0.237 (0.231) 
 Player: Opponent:  61.85% (G:0.00% B:0.00%) 38.15% (G:0.00% B:0.00%)  

4.  2ply  5/Off 2/1  eq: +0.175 (0.293) 
 Player: Opponent:  58.73% (G:0.00% B:0.00%) 41.27% (G:0.00% B:0.00%)  



33: 6/Off 3/Off(2) 


1.  4ply  6/Off 3/Off(2)  eq: +0.015 
 Player: Opponent:  50.74% (G:0.00% B:0.00%) 49.26% (G:0.00% B:0.00%)  

2.  4ply  6/Off(2)  eq: 0.230 (0.244) 
 Player: Opponent:  38.52% (G:0.00% B:0.00%) 61.48% (G:0.00% B:0.00%)  

3.  4ply  6/3 6/Off 4/1  eq: 0.510 (0.524) 
 Player: Opponent:  24.52% (G:0.00% B:0.00%) 75.48% (G:0.00% B:0.00%)  

4.  4ply  6/3(2) 4/1(2)  eq: 0.663 (0.677) 
 Player: Opponent:  16.87% (G:0.00% B:0.00%) 83.13% (G:0.00% B:0.00%)  

5.  2ply  4/1 3/Off(3)  eq: 0.223 (0.238) 
 Player: Opponent:  38.86% (G:0.00% B:0.00%) 61.14% (G:0.00% B:0.00%)  



61: 5/Off 1/Off 


1.  4ply  5/Off 1/Off  eq: +0.016 
 Player: Opponent:  50.78% (G:0.00% B:0.00%) 49.22% (G:0.00% B:0.00%)  

2.  4ply  5/4 5/Off  eq: 0.031 (0.046) 
 Player: Opponent:  48.47% (G:0.00% B:0.00%) 51.53% (G:0.00% B:0.00%)  

3.  1ply  5/Off 3/2  eq: 0.309 (0.324) 
 Player: Opponent:  34.56% (G:0.00% B:0.00%) 65.44% (G:0.00% B:0.00%)  

4.  1ply  5/Off 2/1  eq: 0.342 (0.357) 
 Player: Opponent:  32.92% (G:0.00% B:0.00%) 67.08% (G:0.00% B:0.00%)  



22: 4/Off(2) 


1.  4ply  4/Off(2)  eq: +0.066 
 Player: Opponent:  53.28% (G:0.00% B:0.00%) 46.72% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/2  eq: +0.024 (0.042) 
 Player: Opponent:  51.20% (G:0.00% B:0.00%) 48.80% (G:0.00% B:0.00%)  

3.  4ply  6/2 4/2 3/1  eq: 0.573 (0.639) 
 Player: Opponent:  21.33% (G:0.00% B:0.00%) 78.67% (G:0.00% B:0.00%)  

4.  1ply  6/Off 3/1  eq: 0.298 (0.363) 
 Player: Opponent:  35.11% (G:0.00% B:0.00%) 64.89% (G:0.00% B:0.00%)  

5.  1ply  4/2 4/Off 3/1  eq: 0.335 (0.401) 
 Player: Opponent:  33.23% (G:0.00% B:0.00%) 66.77% (G:0.00% B:0.00%)  



63: 5/Off 3/Off 


1.  4ply  5/Off 3/Off  eq: +0.094 
 Player: Opponent:  54.71% (G:0.00% B:0.00%) 45.29% (G:0.00% B:0.00%)  

2.  4ply  5/2 5/Off  eq: 0.167 (0.261) 
 Player: Opponent:  41.67% (G:0.00% B:0.00%) 58.33% (G:0.00% B:0.00%)  



64: 6/Off 3/Off 


1.  4ply  6/Off 3/Off  eq: 0.163 
 Player: Opponent:  41.85% (G:0.00% B:0.00%) 58.15% (G:0.00% B:0.00%)  

2.  4ply  6/2 3/Off  eq: 0.198 (0.035) 
 Player: Opponent:  40.09% (G:0.00% B:0.00%) 59.91% (G:0.00% B:0.00%)  



31: 5/4 5/2 


1.  4ply  5/4 5/2  eq: 0.769 
 Player: Opponent:  11.57% (G:0.00% B:0.00%) 88.43% (G:0.00% B:0.00%)  

2.  4ply  5/1  eq: 0.815 (0.046) 
 Player: Opponent:  9.26% (G:0.00% B:0.00%) 90.74% (G:0.00% B:0.00%)  



43: 1/Off(2) 


1.  3ply  1/Off(2)  eq: +0.722 
 Player: Opponent:  86.11% (G:0.00% B:0.00%) 13.89% (G:0.00% B:0.00%)  



22: 4/Off 2/Off(2) 


1.  3ply  4/Off 2/Off(2)  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  



Wins a Single Game 4pts. 



