21: 13/11 6/5 


1.  Book^{1}  24/23 13/11  eq: 0.095 
 Player: Opponent:  50.00% (G:13.63% B:0.54%) 50.00% (G:13.08% B:0.54%)  

2.  Book^{1}  13/11 6/5  eq: 0.108 (0.014) 
 Player: Opponent:  50.07% (G:13.86% B:0.64%) 49.93% (G:14.11% B:0.85%)  

3.  Book^{1}  24/21  eq: 0.135 (0.040) 
 Player: Opponent:  49.17% (G:12.48% B:0.57%) 50.83% (G:13.52% B:0.50%)  

4.  Book^{1}  24/23 24/22  eq: 0.152 (0.058) 
 Player: Opponent:  48.53% (G:12.37% B:0.53%) 51.47% (G:13.40% B:0.49%)  

5.  Book^{1}  13/10  eq: 0.154 (0.059) 
 Player: Opponent:  48.75% (G:13.46% B:0.59%) 51.25% (G:14.00% B:0.70%)  


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



42: 24/20* 13/11 


1.  XG Roller++  24/20* 13/11  eq: +0.276 
 Player: Opponent:  52.98% (G:16.47% B:1.07%) 47.02% (G:11.39% B:0.48%)  

2.  XG Roller++  24/22 24/20*  eq: +0.246 (0.031) 
 Player: Opponent:  52.84% (G:15.26% B:0.90%) 47.16% (G:11.46% B:0.41%)  

3.  4ply  24/20* 20/18  eq: +0.228 (0.048) 
 Player: Opponent:  52.88% (G:14.93% B:0.93%) 47.12% (G:11.90% B:0.48%)  

4.  3ply  24/20* 8/6  eq: +0.155 (0.121) 
 Player: Opponent:  50.53% (G:15.25% B:1.01%) 49.47% (G:12.27% B:0.49%)  

5.  3ply  24/20* 6/4  eq: +0.134 (0.142) 
 Player: Opponent:  50.64% (G:13.99% B:0.95%) 49.36% (G:12.76% B:0.63%)  



55: Bar/5* 


1.  4ply  Bar/5*  eq: 0.176 
 Player: Opponent:  48.70% (G:13.03% B:0.57%) 51.30% (G:15.21% B:1.08%)  

2.  4ply  Bar/20 11/1* 6/1  eq: 0.226 (0.050) 
 Player: Opponent:  46.19% (G:13.14% B:0.36%) 53.81% (G:13.53% B:0.69%)  

3.  3ply  Bar/20 13/8 6/1*(2)  eq: 0.286 (0.110) 
 Player: Opponent:  44.94% (G:12.81% B:0.43%) 55.06% (G:14.36% B:0.76%)  

4.  3ply  Bar/20 13/3 8/3  eq: 0.305 (0.129) 
 Player: Opponent:  45.16% (G:12.53% B:0.58%) 54.84% (G:15.82% B:1.03%)  

5.  2ply  Bar/15 6/1*(2)  eq: 0.362 (0.187) 
 Player: Opponent:  43.25% (G:11.68% B:0.34%) 56.75% (G:15.94% B:1.04%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.30% (G:15.21% B:1.08%) 
51.39% (G:15.25% B:1.08%) 
Opponent Winning Chances: 
48.70% (G:13.03% B:0.57%) 
48.61% (G:13.07% B:0.58%) 
Cubeless Equities 
+0.041 
+0.122 
Cubeful Equities 
No double:  +0.176  
Double/Take:  0.002 (0.178)  
Double/Pass:  +1.000 (+0.824) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.1% 


54: Bar/20* 24/20 


1.  3ply  Bar/20* 24/20  eq: +0.510 
 Player: Opponent:  59.17% (G:17.68% B:0.99%) 40.83% (G:7.38% B:0.25%)  

2.  2ply  Bar/20* 20/16  eq: +0.319 (0.191) 
 Player: Opponent:  54.72% (G:16.71% B:1.17%) 45.28% (G:11.26% B:0.55%)  

3.  2ply  Bar/20* 13/9  eq: +0.302 (0.207) 
 Player: Opponent:  53.54% (G:17.72% B:1.41%) 46.46% (G:11.24% B:0.62%)  

4.  2ply  Bar/20* 11/7  eq: +0.227 (0.282) 
 Player: Opponent:  52.18% (G:15.93% B:0.95%) 47.82% (G:11.05% B:0.56%)  

5.  1ply  Bar/20* 6/2  eq: +0.129 (0.381) 
 Player: Opponent:  50.16% (G:14.63% B:1.11%) 49.84% (G:12.99% B:0.83%)  



52: Bar/20 13/11 


1.  3ply  Bar/20 13/11  eq: 0.500 
 Player: Opponent:  41.54% (G:7.40% B:0.22%) 58.46% (G:17.24% B:0.80%)  

2.  3ply  Bar/20 24/22  eq: 0.602 (0.102) 
 Player: Opponent:  39.42% (G:7.17% B:0.21%) 60.58% (G:19.98% B:1.10%)  

3.  3ply  Bar/18  eq: 0.604 (0.105) 
 Player: Opponent:  39.47% (G:6.75% B:0.20%) 60.53% (G:19.20% B:1.06%)  

4.  3ply  Bar/20 6/4  eq: 0.622 (0.122) 
 Player: Opponent:  39.56% (G:7.36% B:0.24%) 60.44% (G:20.14% B:1.46%)  

5.  3ply  Bar/23 13/8  eq: 0.652 (0.153) 
 Player: Opponent:  38.13% (G:6.95% B:0.22%) 61.87% (G:18.85% B:1.08%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.59% (G:17.00% B:0.80%) 
58.71% (G:16.87% B:0.81%) 
Opponent Winning Chances: 
41.41% (G:7.39% B:0.26%) 
41.29% (G:7.60% B:0.26%) 
Cubeless Equities 
+0.270 
+0.573 
Cubeful Equities 
No double:  +0.512  
Double/Take:  +0.430 (0.082)  
Double/Pass:  +1.000 (+0.488) 

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


54: 20/11 


1.  XG Roller++  13/9 11/6  eq: +0.243 
 Player: Opponent:  52.36% (G:14.52% B:0.51%) 47.64% (G:8.17% B:0.28%)  

2.  XG Roller++  20/11  eq: +0.234 (0.009) 
 Player: Opponent:  53.50% (G:13.51% B:0.71%) 46.50% (G:12.09% B:0.38%)  

3.  4ply  13/9 13/8  eq: +0.184 (0.059) 
 Player: Opponent:  51.23% (G:13.96% B:0.50%) 48.77% (G:8.70% B:0.28%)  

4.  3ply  11/2  eq: +0.174 (0.069) 
 Player: Opponent:  51.62% (G:12.56% B:0.46%) 48.38% (G:8.37% B:0.29%)  

5.  3ply  13/8 6/2  eq: +0.160 (0.083) 
 Player: Opponent:  51.27% (G:12.60% B:0.47%) 48.73% (G:8.81% B:0.31%)  



65: 24/13 


1.  XG Roller++  13/8 11/5*  eq: 0.452 
 Player: Opponent:  42.30% (G:10.74% B:0.38%) 57.70% (G:17.31% B:1.38%)  

2.  XG Roller++  24/13  eq: 0.601 (0.149) 
 Player: Opponent:  37.64% (G:7.42% B:0.24%) 62.36% (G:15.06% B:0.65%)  

3.  4ply  20/15 11/5*  eq: 0.493 (0.041) 
 Player: Opponent:  42.28% (G:10.40% B:0.36%) 57.72% (G:19.39% B:1.73%)  

4.  4ply  11/6 11/5*  eq: 0.514 (0.062) 
 Player: Opponent:  40.47% (G:9.86% B:0.35%) 59.53% (G:17.33% B:1.28%)  

5.  3ply  20/9  eq: 0.545 (0.093) 
 Player: Opponent:  39.30% (G:8.87% B:0.30%) 60.70% (G:15.66% B:0.90%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
62.23% (G:15.04% B:0.67%) 
62.19% (G:14.97% B:0.70%) 
Opponent Winning Chances: 
37.77% (G:7.45% B:0.25%) 
37.81% (G:7.47% B:0.25%) 
Cubeless Equities 
+0.320 
+0.674 
Cubeful Equities 
No double:  +0.596  
Double/Take:  +0.551 (0.045)  
Double/Pass:  +1.000 (+0.404) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.1% 


64: 11/5* 5/1* 


1.  XG Roller++  20/10  eq: +0.529 
 Player: Opponent:  62.42% (G:9.58% B:0.31%) 37.58% (G:6.50% B:0.21%)  

2.  XG Roller++  11/5* 5/1*  eq: +0.329 (0.201) 
 Player: Opponent:  54.65% (G:16.28% B:0.46%) 45.35% (G:10.05% B:0.40%)  

3.  2ply  8/2 6/2  eq: +0.296 (0.234) 
 Player: Opponent:  55.34% (G:14.05% B:0.48%) 44.66% (G:10.30% B:0.33%)  

4.  2ply  13/7 11/7  eq: +0.251 (0.279) 
 Player: Opponent:  53.76% (G:13.81% B:0.48%) 46.24% (G:9.64% B:0.37%)  

5.  2ply  20/16 11/5*  eq: +0.246 (0.283) 
 Player: Opponent:  53.65% (G:13.51% B:0.49%) 46.35% (G:11.49% B:0.51%)  



61: Bar/24* 


1.  3ply  Bar/24*  eq: 0.234 
 Player: Opponent:  47.06% (G:9.48% B:0.37%) 52.94% (G:14.28% B:0.54%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.14% (G:14.38% B:0.58%) 
53.11% (G:14.40% B:0.57%) 
Opponent Winning Chances: 
46.86% (G:9.46% B:0.36%) 
46.89% (G:9.48% B:0.37%) 
Cubeless Equities 
+0.106 
+0.234 
Cubeful Equities 
No double:  +0.241  
Double/Take:  +0.083 (0.159)  
Double/Pass:  +1.000 (+0.759) 

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


51: Bar/20 11/10 


1.  3ply  Bar/20 11/10  eq: +0.303 
 Player: Opponent:  54.89% (G:13.61% B:0.40%) 45.11% (G:6.64% B:0.19%)  

2.  3ply  Bar/20 6/5  eq: +0.198 (0.105) 
 Player: Opponent:  52.15% (G:13.18% B:0.45%) 47.85% (G:8.59% B:0.25%)  

3.  3ply  Bar/20 8/7  eq: +0.183 (0.120) 
 Player: Opponent:  51.75% (G:12.60% B:0.38%) 48.25% (G:7.70% B:0.23%)  

4.  2ply  Bar/24 13/8  eq: +0.090 (0.213) 
 Player: Opponent:  49.33% (G:13.52% B:0.58%) 50.67% (G:11.78% B:0.54%)  

5.  2ply  Bar/24 20/15  eq: +0.070 (0.233) 
 Player: Opponent:  49.32% (G:12.80% B:0.55%) 50.68% (G:12.72% B:0.60%)  



64: Bar/15* 


1.  3ply  Bar/15*  eq: +0.008 
 Player: Opponent:  53.58% (G:8.69% B:0.25%) 46.42% (G:11.26% B:0.30%)  

2.  1ply  Bar/21 13/7  eq: 0.346 (0.354) 
 Player: Opponent:  44.30% (G:7.48% B:0.26%) 55.70% (G:15.10% B:0.59%)  

3.  1ply  Bar/21 24/18  eq: 0.364 (0.372) 
 Player: Opponent:  44.43% (G:6.16% B:0.22%) 55.57% (G:15.98% B:0.43%)  

4.  1ply  Bar/21 8/2  eq: 0.441 (0.449) 
 Player: Opponent:  42.15% (G:6.97% B:0.22%) 57.85% (G:16.74% B:0.64%)  



64: Bar/21 13/7 


1.  XG Roller++  Bar/15  eq: 0.104 
 Player: Opponent:  44.19% (G:9.23% B:0.23%) 55.81% (G:8.28% B:0.28%)  

2.  XG Roller++  Bar/21 13/7  eq: 0.120 (0.016) 
 Player: Opponent:  43.45% (G:9.95% B:0.25%) 56.55% (G:9.07% B:0.29%)  

3.  3ply  Bar/21 8/2  eq: 0.198 (0.094) 
 Player: Opponent:  41.59% (G:9.30% B:0.28%) 58.41% (G:10.18% B:0.34%)  



51: 24/18* 


1.  3ply  24/18*  eq: +0.162 
 Player: Opponent:  57.52% (G:10.85% B:0.32%) 42.48% (G:10.31% B:0.29%)  

2.  2ply  15/10 11/10  eq: 0.051 (0.213) 
 Player: Opponent:  52.16% (G:8.67% B:0.28%) 47.84% (G:12.22% B:0.41%)  

3.  2ply  15/14 13/8  eq: 0.168 (0.330) 
 Player: Opponent:  49.37% (G:7.73% B:0.22%) 50.63% (G:13.74% B:0.43%)  

4.  2ply  24/23 13/8  eq: 0.170 (0.332) 
 Player: Opponent:  49.39% (G:7.91% B:0.24%) 50.61% (G:14.07% B:0.42%)  

5.  1ply  15/9  eq: 0.156 (0.318) 
 Player: Opponent:  49.39% (G:8.64% B:0.25%) 50.61% (G:13.50% B:0.48%)  



64: Bar/21 13/7* 


1.  3ply  Bar/21 13/7*  eq: 0.129 
 Player: Opponent:  43.15% (G:10.57% B:0.30%) 56.85% (G:10.01% B:0.22%)  

2.  2ply  Bar/15  eq: 0.324 (0.195) 
 Player: Opponent:  38.56% (G:7.83% B:0.23%) 61.44% (G:11.29% B:0.38%)  

3.  2ply  Bar/21 8/2  eq: 0.341 (0.211) 
 Player: Opponent:  37.66% (G:7.43% B:0.14%) 62.34% (G:9.47% B:0.30%)  



52: Bar/18* 


1.  3ply  Bar/18*  eq: +0.307 
 Player: Opponent:  60.63% (G:13.29% B:0.37%) 39.37% (G:8.63% B:0.23%)  

2.  2ply  Bar/20 15/13  eq: +0.074 (0.233) 
 Player: Opponent:  55.58% (G:9.07% B:0.18%) 44.42% (G:11.13% B:0.26%)  

3.  2ply  Bar/20 13/11  eq: +0.054 (0.253) 
 Player: Opponent:  54.89% (G:10.14% B:0.28%) 45.11% (G:11.71% B:0.32%)  

4.  2ply  Bar/23 13/8  eq: 0.015 (0.322) 
 Player: Opponent:  53.20% (G:10.08% B:0.22%) 46.80% (G:12.71% B:0.38%)  

5.  2ply  Bar/20 8/6  eq: 0.037 (0.344) 
 Player: Opponent:  52.64% (G:9.88% B:0.25%) 47.36% (G:12.98% B:0.39%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 0.412 
 Player: Opponent:  36.81% (G:7.04% B:0.20%) 63.19% (G:13.52% B:0.27%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.58% (G:13.95% B:0.37%) 
63.58% (G:13.96% B:0.37%) 
Opponent Winning Chances: 
36.42% (G:7.16% B:0.21%) 
36.42% (G:7.16% B:0.21%) 
Cubeless Equities 
+0.359 
+0.735 
Cubeful Equities 
No double:  +0.429  
Double/Take:  +0.231 (0.197)  
Double/Pass:  +1.000 (+0.571) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 20.4% 


42: 18/14 13/11 


1.  XG Roller++  18/16 15/11  eq: +0.427 
 Player: Opponent:  63.18% (G:14.43% B:0.41%) 36.82% (G:7.13% B:0.24%)  

2.  XG Roller++  18/14 13/11  eq: +0.408 (0.019) 
 Player: Opponent:  62.56% (G:14.53% B:0.41%) 37.44% (G:7.32% B:0.25%)  

3.  XG Roller++  18/14 15/13  eq: +0.399 (0.028) 
 Player: Opponent:  62.75% (G:13.40% B:0.36%) 37.25% (G:7.47% B:0.26%)  

4.  4ply  15/11 13/11  eq: +0.357 (0.070) 
 Player: Opponent:  61.78% (G:12.88% B:0.24%) 38.22% (G:7.36% B:0.19%)  

5.  3ply  13/9 11/9  eq: +0.350 (0.077) 
 Player: Opponent:  61.50% (G:14.69% B:0.46%) 38.50% (G:8.45% B:0.27%)  



62: Bar/23 8/2 


1.  XG Roller++  Bar/23 21/15  eq: 0.534 (+0.021) 
 Player: Opponent:  34.95% (G:6.63% B:0.22%) 65.05% (G:17.12% B:0.58%)  

2.  XG Roller++  Bar/23 13/7  eq: 0.555 
 Player: Opponent:  34.12% (G:6.29% B:0.21%) 65.88% (G:16.26% B:0.48%)  

3.  XG Roller++  Bar/23 8/2  eq: 0.562 (0.007) 
 Player: Opponent:  33.43% (G:6.36% B:0.17%) 66.57% (G:14.78% B:0.44%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
66.19% (G:14.91% B:0.45%) 
66.18% (G:14.92% B:0.45%) 
Opponent Winning Chances: 
33.81% (G:6.59% B:0.16%) 
33.82% (G:6.59% B:0.16%) 
Cubeless Equities 
+0.429 
+0.879 
Cubeful Equities 
No double:  +0.529  
Double/Take:  +0.416 (0.113)  
Double/Pass:  +1.000 (+0.471) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.2% 


44: 11/7(3) 6/2* 


1.  XG Roller++  15/11 13/9(3)  eq: +0.575 
 Player: Opponent:  66.13% (G:15.60% B:0.47%) 33.87% (G:5.78% B:0.18%)  

2.  XG Roller++  15/7 11/7 6/2*  eq: +0.571 (0.004) 
 Player: Opponent:  66.36% (G:15.30% B:0.39%) 33.64% (G:5.97% B:0.22%)  

3.  XG Roller++  13/9(2) 6/2*(2)  eq: +0.547 (0.028) 
 Player: Opponent:  64.98% (G:18.15% B:0.49%) 35.02% (G:6.32% B:0.23%)  

4.  XG Roller++  15/7 14/10 11/7  eq: +0.544 (0.031) 
 Player: Opponent:  65.33% (G:16.54% B:0.57%) 34.67% (G:6.55% B:0.21%)  

5.  XG Roller++  11/7(3) 6/2*  eq: +0.425 (0.149) 
 Player: Opponent:  62.72% (G:16.61% B:0.49%) 37.28% (G:8.07% B:0.32%)  



52: Bar/20 13/11* 


1.  4ply  Bar/20 13/11*  eq: 0.425 
 Player: Opponent:  38.31% (G:7.99% B:0.31%) 61.69% (G:20.99% B:0.58%)  

2.  4ply  Bar/23* 21/16  eq: 0.485 (0.060) 
 Player: Opponent:  36.48% (G:7.71% B:0.29%) 63.52% (G:20.02% B:0.90%)  

3.  3ply  Bar/23* 8/3  eq: 0.519 (0.095) 
 Player: Opponent:  35.21% (G:7.19% B:0.25%) 64.79% (G:19.18% B:0.59%)  

4.  3ply  Bar/23* 6/1  eq: 0.520 (0.095) 
 Player: Opponent:  34.55% (G:7.09% B:0.23%) 65.45% (G:17.09% B:0.51%)  

5.  3ply  Bar/23* 20/15  eq: 0.531 (0.106) 
 Player: Opponent:  35.66% (G:7.54% B:0.31%) 64.34% (G:21.25% B:1.00%)  



22: Bar/23* 23/21 13/11(2) 


1.  XG Roller++  Bar/23* 15/11 13/11  eq: +0.349 
 Player: Opponent:  58.80% (G:23.53% B:0.73%) 41.20% (G:8.57% B:0.35%)  

2.  XG Roller++  Bar/23* 23/21 13/11(2)  eq: +0.287 (0.062) 
 Player: Opponent:  57.60% (G:22.49% B:0.73%) 42.40% (G:9.47% B:0.41%)  

3.  4ply  Bar/23* 23/21 15/13 8/6  eq: +0.294 (0.054) 
 Player: Opponent:  57.74% (G:22.59% B:0.65%) 42.26% (G:9.10% B:0.37%)  

4.  4ply  Bar/23* 13/11(3)  eq: +0.280 (0.069) 
 Player: Opponent:  57.65% (G:21.06% B:0.62%) 42.35% (G:9.11% B:0.36%)  

5.  3ply  Bar/23* 23/21 15/11  eq: +0.277 (0.071) 
 Player: Opponent:  57.54% (G:21.81% B:0.66%) 42.46% (G:9.27% B:0.38%)  



43: Bar/21 13/10* 


1.  XG Roller++  Bar/21 13/10*  eq: 0.268 
 Player: Opponent:  42.53% (G:9.50% B:0.41%) 57.47% (G:21.27% B:0.61%)  

2.  XG Roller++  Bar/22 8/4*  eq: 0.377 (0.109) 
 Player: Opponent:  41.54% (G:8.97% B:0.43%) 58.46% (G:28.50% B:1.12%)  

3.  4ply  Bar/22 20/16  eq: 0.352 (0.084) 
 Player: Opponent:  41.55% (G:8.83% B:0.42%) 58.45% (G:25.86% B:0.79%)  

4.  3ply  Bar/22 13/9  eq: 0.403 (0.135) 
 Player: Opponent:  40.15% (G:8.35% B:0.36%) 59.85% (G:25.57% B:0.72%)  

5.  3ply  Bar/22 11/7  eq: 0.404 (0.136) 
 Player: Opponent:  40.19% (G:8.36% B:0.36%) 59.81% (G:25.87% B:0.73%)  



31: Bar/21 


1.  XG Roller++  Bar/21  eq: +0.224 (+0.020) 
 Player: Opponent:  56.74% (G:18.10% B:0.48%) 43.26% (G:9.32% B:0.35%)  

2.  XG Roller++  Bar/24 21/18  eq: +0.205 
 Player: Opponent:  56.15% (G:19.88% B:0.60%) 43.85% (G:10.17% B:0.44%)  

3.  4ply  Bar/22 13/12  eq: +0.152 (0.053) 
 Player: Opponent:  55.02% (G:18.34% B:0.51%) 44.98% (G:10.32% B:0.42%)  

4.  3ply  Bar/22 21/20  eq: +0.163 (0.042) 
 Player: Opponent:  55.59% (G:19.22% B:0.54%) 44.41% (G:11.01% B:0.48%)  

5.  3ply  Bar/22 7/6  eq: +0.153 (0.052) 
 Player: Opponent:  55.34% (G:18.65% B:0.52%) 44.66% (G:10.78% B:0.48%)  



41: 20/16 11/10 


1.  3ply  20/16 11/10  eq: 0.205 
 Player: Opponent:  43.83% (G:9.24% B:0.27%) 56.17% (G:18.34% B:0.43%)  

2.  3ply  11/10 6/2  eq: 0.296 (0.091) 
 Player: Opponent:  41.54% (G:8.55% B:0.33%) 58.46% (G:19.09% B:0.47%)  

3.  3ply  20/16 6/5  eq: 0.305 (0.100) 
 Player: Opponent:  42.67% (G:9.59% B:0.42%) 57.33% (G:26.14% B:0.96%)  

4.  3ply  21/16  eq: 0.319 (0.114) 
 Player: Opponent:  41.59% (G:8.96% B:0.35%) 58.41% (G:22.58% B:0.66%)  

5.  3ply  20/15  eq: 0.327 (0.122) 
 Player: Opponent:  41.53% (G:8.90% B:0.33%) 58.47% (G:23.15% B:0.68%)  



32: 11/9* 6/3 


1.  XG Roller++  21/18 13/11  eq: +0.168 
 Player: Opponent:  55.50% (G:18.14% B:0.50%) 44.50% (G:10.22% B:0.38%)  

2.  XG Roller++  11/9* 6/3  eq: 0.155 (0.323) 
 Player: Opponent:  48.71% (G:13.60% B:0.41%) 51.29% (G:14.17% B:0.63%)  

3.  4ply  13/11 6/3  eq: +0.115 (0.053) 
 Player: Opponent:  54.18% (G:16.69% B:0.40%) 45.82% (G:10.08% B:0.29%)  

4.  3ply  13/8  eq: +0.125 (0.044) 
 Player: Opponent:  54.69% (G:17.27% B:0.44%) 45.31% (G:10.30% B:0.41%)  

5.  3ply  11/9* 9/6  eq: +0.103 (0.065) 
 Player: Opponent:  53.71% (G:17.59% B:0.54%) 46.29% (G:10.24% B:0.34%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.08% (G:14.03% B:0.59%) 
51.08% (G:14.05% B:0.60%) 
Opponent Winning Chances: 
48.92% (G:13.36% B:0.37%) 
48.92% (G:13.41% B:0.38%) 
Cubeless Equities 
+0.017 
+0.063 
Cubeful Equities 
No double:  +0.138  
Double/Take:  0.058 (0.197)  
Double/Pass:  +1.000 (+0.862) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.7% 


41: Bar/24 20/16* 


1.  XG Roller++  Bar/24 20/16*  eq: +0.037 
 Player: Opponent:  49.38% (G:12.21% B:0.45%) 50.62% (G:15.95% B:0.69%)  

2.  XG Roller++  Bar/20  eq: 0.196 (0.234) 
 Player: Opponent:  44.25% (G:9.88% B:0.42%) 55.75% (G:20.18% B:0.50%)  

3.  2ply  Bar/21 6/5  eq: 0.181 (0.219) 
 Player: Opponent:  44.58% (G:10.85% B:0.53%) 55.42% (G:22.55% B:0.59%)  

4.  2ply  Bar/24 6/2  eq: 0.283 (0.320) 
 Player: Opponent:  42.18% (G:9.72% B:0.39%) 57.82% (G:22.45% B:0.71%)  

5.  1ply  Bar/21 8/7  eq: 0.354 (0.391) 
 Player: Opponent:  40.95% (G:9.75% B:0.41%) 59.05% (G:25.95% B:0.87%)  



43: Bar/21 8/5* 


1.  XG Roller++  Bar/22 7/3  eq: 0.152 
 Player: Opponent:  48.22% (G:15.17% B:0.70%) 51.78% (G:14.23% B:0.58%)  

2.  XG Roller++  Bar/21 11/8  eq: 0.182 (0.030) 
 Player: Opponent:  47.25% (G:13.09% B:0.46%) 52.75% (G:13.03% B:0.45%)  

3.  XG Roller++  Bar/22 13/9*  eq: 0.192 (0.040) 
 Player: Opponent:  48.02% (G:13.87% B:0.58%) 51.98% (G:15.45% B:0.70%)  

4.  XG Roller++  Bar/21 8/5*  eq: 0.300 (0.148) 
 Player: Opponent:  46.34% (G:13.40% B:0.56%) 53.66% (G:18.22% B:0.89%)  

5.  4ply  Bar/22 11/7  eq: 0.212 (0.060) 
 Player: Opponent:  46.73% (G:12.88% B:0.43%) 53.27% (G:14.06% B:0.52%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.28% (G:18.00% B:0.85%) 
53.28% (G:18.01% B:0.85%) 
Opponent Winning Chances: 
46.72% (G:13.33% B:0.49%) 
46.72% (G:13.34% B:0.49%) 
Cubeless Equities 
+0.104 
+0.255 
Cubeful Equities 
No double:  +0.278  
Double/Take:  +0.142 (0.136)  
Double/Pass:  +1.000 (+0.722) 

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


55: Bar/20* 21/16 10/5(2) 


1.  3ply  Bar/20* 21/16 10/5(2)  eq: +0.615 
 Player: Opponent:  60.25% (G:22.98% B:1.08%) 39.75% (G:9.31% B:0.23%)  

2.  3ply  Bar/20* 20/15 10/5(2)  eq: +0.501 (0.114) 
 Player: Opponent:  58.11% (G:21.68% B:1.06%) 41.89% (G:10.51% B:0.30%)  

3.  3ply  Bar/20* 16/11 10/5(2)  eq: +0.452 (0.163) 
 Player: Opponent:  56.36% (G:21.84% B:1.16%) 43.64% (G:11.08% B:0.33%)  

4.  2ply  Bar/20* 21/11 16/11  eq: +0.448 (0.167) 
 Player: Opponent:  57.45% (G:19.33% B:1.08%) 42.55% (G:10.97% B:0.49%)  

5.  2ply  Bar/20* 21/16(2) 20/15  eq: +0.420 (0.195) 
 Player: Opponent:  57.80% (G:17.51% B:0.92%) 42.20% (G:11.46% B:0.66%)  



43: Bar/22 7/3 


1.  XG Roller++  Bar/21 11/8  eq: 0.672 
 Player: Opponent:  38.44% (G:9.09% B:0.30%) 61.56% (G:21.78% B:0.91%)  

2.  XG Roller++  Bar/22 7/3  eq: 0.793 (0.121) 
 Player: Opponent:  38.32% (G:9.87% B:0.45%) 61.68% (G:27.43% B:1.49%)  

3.  4ply  Bar/22 11/7  eq: 0.777 (0.105) 
 Player: Opponent:  37.65% (G:8.59% B:0.23%) 62.35% (G:24.57% B:1.12%)  

4.  2ply  Bar/21 13/10  eq: 0.958 (0.286) 
 Player: Opponent:  35.41% (G:7.79% B:0.14%) 64.59% (G:27.37% B:1.22%)  

5.  2ply  Bar/18  eq: 0.970 (0.298) 
 Player: Opponent:  36.55% (G:7.86% B:0.20%) 63.45% (G:29.59% B:1.82%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.26% (G:27.31% B:1.47%) 
61.07% (G:28.02% B:1.63%) 
Opponent Winning Chances: 
38.74% (G:10.00% B:0.48%) 
38.92% (G:10.09% B:0.47%) 
Cubeless Equities 
+0.406 
+0.904 
Cubeful Equities 
No double:  +0.726 (0.064)  
Double/Take:  +0.789  
Double/Pass:  +1.000 (+0.211) 

Best Cube action: Double / Take 


61: 20/14* 6/5 


1.  XG Roller++  24/23* 20/14*  eq: +0.785 
 Player: Opponent:  61.47% (G:27.80% B:1.42%) 38.53% (G:8.47% B:0.36%)  

2.  XG Roller++  20/14* 6/5  eq: +0.657 (0.128) 
 Player: Opponent:  60.85% (G:23.45% B:1.09%) 39.15% (G:9.84% B:0.45%)  

3.  2ply  20/14* 14/13  eq: +0.618 (0.167) 
 Player: Opponent:  60.69% (G:22.10% B:0.97%) 39.31% (G:9.83% B:0.43%)  

4.  2ply  21/14*  eq: +0.610 (0.175) 
 Player: Opponent:  60.99% (G:21.70% B:0.88%) 39.01% (G:10.50% B:0.61%)  

5.  2ply  20/14* 16/15  eq: +0.531 (0.255) 
 Player: Opponent:  59.06% (G:21.39% B:1.00%) 40.94% (G:11.38% B:0.63%)  



64: Bar/21 13/7 


1.  3ply  Bar/21 13/7  eq: 0.704 
 Player: Opponent:  37.57% (G:9.42% B:0.39%) 62.43% (G:21.93% B:0.84%)  

2.  2ply  Bar/21 22/16  eq: 0.962 (0.258) 
 Player: Opponent:  35.63% (G:8.74% B:0.21%) 64.37% (G:28.37% B:1.26%)  

3.  2ply  Bar/21 8/2  eq: 1.000 (0.296) 
 Player: Opponent:  33.95% (G:10.23% B:0.37%) 66.05% (G:28.59% B:1.25%)  

4.  2ply  Bar/15  eq: 1.000 (0.296) 
 Player: Opponent:  34.60% (G:8.50% B:0.35%) 65.40% (G:31.97% B:1.95%)  

5.  2ply  Bar/21 7/1*  eq: 1.000 (0.296) 
 Player: Opponent:  28.87% (G:6.57% B:0.14%) 71.13% (G:36.58% B:2.40%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.93% (G:22.62% B:0.90%) 
61.71% (G:22.77% B:0.92%) 
Opponent Winning Chances: 
38.07% (G:10.31% B:0.48%) 
38.29% (G:10.45% B:0.46%) 
Cubeless Equities 
+0.360 
+0.780 
Cubeful Equities 
No double:  +0.688  
Double/Take:  +0.680 (0.008)  
Double/Pass:  +1.000 (+0.312) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.4% 


61: 24/23* 16/10 


1.  XG Roller++  24/23* 21/15  eq: +0.669 
 Player: Opponent:  61.02% (G:22.70% B:0.87%) 38.98% (G:9.60% B:0.48%)  

2.  XG Roller++  24/23* 16/10  eq: +0.545 (0.124) 
 Player: Opponent:  58.26% (G:21.41% B:0.87%) 41.74% (G:10.32% B:0.45%)  

3.  3ply  24/23* 14/8  eq: +0.580 (0.088) 
 Player: Opponent:  59.65% (G:21.66% B:0.74%) 40.35% (G:9.11% B:0.19%)  

4.  2ply  21/14  eq: +0.501 (0.168) 
 Player: Opponent:  59.51% (G:18.70% B:0.74%) 40.49% (G:12.41% B:0.50%)  

5.  2ply  16/15 14/8  eq: +0.467 (0.202) 
 Player: Opponent:  57.90% (G:19.08% B:0.86%) 42.10% (G:11.03% B:0.46%)  



53: Bar/22 21/16 


1.  3ply  Bar/22 21/16  eq: 0.405 
 Player: Opponent:  43.77% (G:9.81% B:0.35%) 56.23% (G:18.57% B:0.62%)  

2.  2ply  Bar/22 7/2*  eq: 0.621 (0.215) 
 Player: Opponent:  39.61% (G:10.71% B:0.36%) 60.39% (G:23.29% B:0.85%)  

3.  1ply  Bar/22 8/3  eq: 1.000 (0.595) 
 Player: Opponent:  33.59% (G:6.69% B:0.27%) 66.41% (G:27.00% B:1.08%)  

4.  1ply  Bar/22 6/1  eq: 1.000 (0.595) 
 Player: Opponent:  29.58% (G:4.70% B:0.17%) 70.42% (G:31.67% B:1.33%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
56.29% (G:18.85% B:0.76%) 
56.30% (G:18.83% B:0.76%) 
Opponent Winning Chances: 
43.71% (G:10.50% B:0.48%) 
43.70% (G:10.44% B:0.47%) 
Cubeless Equities 
+0.205 
+0.456 
Cubeful Equities 
No double:  +0.426  
Double/Take:  +0.322 (0.104)  
Double/Pass:  +1.000 (+0.574) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.3% 


61: 16/9* 


1.  XG Roller++  21/15 10/9*  eq: +0.371 
 Player: Opponent:  54.70% (G:20.22% B:0.88%) 45.30% (G:13.84% B:1.26%)  

2.  XG Roller++  14/8 10/9*  eq: +0.331 (0.040) 
 Player: Opponent:  53.97% (G:18.40% B:0.69%) 46.03% (G:11.17% B:0.47%)  

3.  XG Roller++  16/9*  eq: +0.305 (0.067) 
 Player: Opponent:  53.31% (G:18.36% B:0.72%) 46.69% (G:12.24% B:0.57%)  

4.  4ply  16/10 6/5  eq: +0.281 (0.090) 
 Player: Opponent:  53.59% (G:16.46% B:0.58%) 46.41% (G:10.68% B:0.37%)  

5.  3ply  16/10 14/13  eq: +0.280 (0.092) 
 Player: Opponent:  53.74% (G:16.24% B:0.59%) 46.26% (G:10.44% B:0.33%)  



41: Bar/21 7/6 


1.  3ply  Bar/21 7/6  eq: 0.570 
 Player: Opponent:  40.73% (G:9.27% B:0.38%) 59.27% (G:21.91% B:0.80%)  

2.  3ply  Bar/24 22/18  eq: 0.699 (0.129) 
 Player: Opponent:  40.19% (G:9.45% B:0.40%) 59.81% (G:26.60% B:1.40%)  

3.  2ply  Bar/24 7/3  eq: 0.787 (0.217) 
 Player: Opponent:  36.52% (G:8.37% B:0.34%) 63.48% (G:22.90% B:0.95%)  

4.  2ply  Bar/21 3/2*  eq: 0.831 (0.262) 
 Player: Opponent:  37.77% (G:8.44% B:0.28%) 62.23% (G:27.74% B:1.25%)  

5.  1ply  Bar/21 8/7  eq: 0.840 (0.270) 
 Player: Opponent:  37.48% (G:6.75% B:0.25%) 62.52% (G:26.29% B:1.08%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.39% (G:21.95% B:0.87%) 
59.38% (G:21.79% B:0.85%) 
Opponent Winning Chances: 
40.61% (G:9.69% B:0.44%) 
40.62% (G:9.71% B:0.44%) 
Cubeless Equities 
+0.310 
+0.673 
Cubeful Equities 
No double:  +0.586  
Double/Take:  +0.545 (0.041)  
Double/Pass:  +1.000 (+0.414) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.3% 


51: 21/16 10/9 


1.  4ply  21/16 10/9  eq: +0.757 
 Player: Opponent:  62.42% (G:25.01% B:1.04%) 37.58% (G:8.91% B:0.51%)  

2.  4ply  14/9 10/9  eq: +0.711 (0.045) 
 Player: Opponent:  62.05% (G:23.44% B:0.92%) 37.95% (G:7.59% B:0.26%)  

3.  4ply  10/9 6/1  eq: +0.674 (0.083) 
 Player: Opponent:  60.76% (G:23.95% B:0.86%) 39.24% (G:8.64% B:0.34%)  

4.  3ply  14/9 6/5  eq: +0.648 (0.109) 
 Player: Opponent:  60.97% (G:22.84% B:0.94%) 39.03% (G:8.98% B:0.30%)  

5.  2ply  21/20 14/9  eq: +0.515 (0.242) 
 Player: Opponent:  57.75% (G:21.96% B:0.87%) 42.25% (G:10.94% B:0.59%)  



65: 21/10 


1.  3ply  21/10  eq: 0.823 
 Player: Opponent:  36.60% (G:7.25% B:0.34%) 63.40% (G:24.25% B:0.88%)  

2.  2ply  21/15 7/2*  eq: 1.000 (0.177) 
 Player: Opponent:  34.37% (G:8.03% B:0.44%) 65.63% (G:29.96% B:1.38%)  

3.  2ply  21/15 6/1  eq: 1.000 (0.177) 
 Player: Opponent:  30.96% (G:6.37% B:0.19%) 69.04% (G:27.72% B:1.04%)  

4.  2ply  8/2* 7/2  eq: 1.000 (0.177) 
 Player: Opponent:  30.04% (G:8.12% B:0.35%) 69.96% (G:29.34% B:1.04%)  

5.  2ply  21/15 8/3  eq: 1.000 (0.177) 
 Player: Opponent:  30.13% (G:5.89% B:0.19%) 69.87% (G:28.42% B:1.04%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
63.02% (G:23.63% B:0.95%) 
63.00% (G:23.74% B:0.97%) 
Opponent Winning Chances: 
36.98% (G:8.02% B:0.36%) 
37.00% (G:8.05% B:0.36%) 
Cubeless Equities 
+0.421 
+0.908 
Cubeful Equities 
No double:  +0.769 (0.005)  
Double/Take:  +0.774  
Double/Pass:  +1.000 (+0.226) 

Best Cube action: Double / Take 


42: 23/21 16/12 


1.  XG Roller++  23/21 16/12  eq: +0.649 
 Player: Opponent:  61.76% (G:19.61% B:0.72%) 38.24% (G:8.07% B:0.32%)  

2.  XG Roller++  23/21 6/2  eq: +0.611 (0.039) 
 Player: Opponent:  60.60% (G:19.96% B:0.73%) 39.40% (G:9.19% B:0.39%)  

3.  3ply  16/12 14/12  eq: +0.582 (0.067) 
 Player: Opponent:  60.09% (G:21.09% B:0.79%) 39.91% (G:9.81% B:0.40%)  

4.  3ply  23/21 14/10  eq: +0.554 (0.095) 
 Player: Opponent:  60.20% (G:18.91% B:0.66%) 39.80% (G:9.28% B:0.35%)  

5.  3ply  23/21 5/1  eq: +0.545 (0.104) 
 Player: Opponent:  59.74% (G:19.70% B:0.62%) 40.26% (G:9.43% B:0.42%)  



41: 10/5 


1.  3ply  10/5  eq: 0.788 
 Player: Opponent:  36.15% (G:7.00% B:0.28%) 63.85% (G:21.79% B:0.76%)  

2.  2ply  10/6 3/2  eq: 1.000 (0.212) 
 Player: Opponent:  30.74% (G:5.79% B:0.18%) 69.26% (G:21.21% B:0.74%)  

3.  2ply  10/6 8/7  eq: 1.000 (0.212) 
 Player: Opponent:  31.05% (G:5.43% B:0.17%) 68.95% (G:21.75% B:0.66%)  

4.  2ply  10/9 6/2  eq: 1.000 (0.212) 
 Player: Opponent:  32.04% (G:6.07% B:0.21%) 67.96% (G:24.44% B:0.85%)  

5.  2ply  6/2 3/2  eq: 1.000 (0.212) 
 Player: Opponent:  31.34% (G:5.77% B:0.17%) 68.66% (G:24.68% B:0.82%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
64.05% (G:21.08% B:0.79%) 
63.98% (G:21.40% B:0.83%) 
Opponent Winning Chances: 
35.95% (G:7.66% B:0.33%) 
36.02% (G:7.72% B:0.33%) 
Cubeless Equities 
+0.417 
+0.897 
Cubeful Equities 
No double:  +0.758 (0.011)  
Double/Take:  +0.769  
Double/Pass:  +1.000 (+0.231) 

Best Cube action: Double / Take 


43: 14/11 12/8 


1.  XG Roller++  6/2 5/2  eq: +0.682 
 Player: Opponent:  61.86% (G:21.17% B:0.78%) 38.14% (G:8.35% B:0.33%)  

2.  XG Roller++  14/11 12/8  eq: +0.649 (0.033) 
 Player: Opponent:  62.11% (G:18.92% B:0.66%) 37.89% (G:8.11% B:0.31%)  

3.  4ply  12/9 6/2  eq: +0.616 (0.066) 
 Player: Opponent:  60.95% (G:20.05% B:0.73%) 39.05% (G:8.46% B:0.30%)  

4.  3ply  12/8 5/2  eq: +0.601 (0.081) 
 Player: Opponent:  60.81% (G:20.17% B:0.71%) 39.19% (G:8.64% B:0.32%)  

5.  3ply  12/5  eq: +0.583 (0.099) 
 Player: Opponent:  60.68% (G:19.28% B:0.70%) 39.32% (G:8.40% B:0.30%)  



63: 21/12 


1.  XG Roller++  21/15 8/5  eq: 0.605 
 Player: Opponent:  38.65% (G:8.40% B:0.33%) 61.35% (G:17.99% B:0.64%)  

2.  XG Roller++  21/12  eq: 0.646 (0.041) 
 Player: Opponent:  38.07% (G:7.81% B:0.31%) 61.93% (G:19.04% B:0.65%)  

3.  2ply  21/15 5/2  eq: 0.773 (0.169) 
 Player: Opponent:  35.34% (G:7.45% B:0.21%) 64.66% (G:19.66% B:0.68%)  

4.  2ply  21/15 6/3  eq: 0.828 (0.223) 
 Player: Opponent:  34.57% (G:7.47% B:0.23%) 65.43% (G:20.44% B:0.71%)  

5.  1ply  8/5 8/2  eq: 0.891 (0.286) 
 Player: Opponent:  32.64% (G:6.56% B:0.18%) 67.36% (G:18.96% B:0.52%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.93% (G:18.72% B:0.65%) 
61.92% (G:18.98% B:0.66%) 
Opponent Winning Chances: 
38.07% (G:7.79% B:0.29%) 
38.08% (G:7.87% B:0.30%) 
Cubeless Equities 
+0.348 
+0.746 
Cubeful Equities 
No double:  +0.640  
Double/Take:  +0.614 (0.026)  
Double/Pass:  +1.000 (+0.360) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 6.4% 


42: 11/9 6/2 


1.  4ply  11/9 6/2  eq: +0.588 
 Player: Opponent:  60.98% (G:18.01% B:0.63%) 39.02% (G:8.09% B:0.23%)  

2.  4ply  11/9 5/1  eq: +0.514 (0.074) 
 Player: Opponent:  59.27% (G:17.92% B:0.57%) 40.73% (G:8.81% B:0.27%)  

3.  4ply  11/5  eq: +0.510 (0.079) 
 Player: Opponent:  59.38% (G:16.92% B:0.56%) 40.62% (G:8.39% B:0.25%)  

4.  3ply  8/2  eq: +0.470 (0.118) 
 Player: Opponent:  58.52% (G:17.66% B:0.58%) 41.48% (G:9.35% B:0.36%)  

5.  2ply  8/6 5/1  eq: +0.365 (0.223) 
 Player: Opponent:  55.95% (G:16.96% B:0.56%) 44.05% (G:10.21% B:0.32%)  



11: 12/11 6/5 3/2(2) 


1.  XG Roller++  22/21(2) 12/11 6/5  eq: 0.480 
 Player: Opponent:  39.10% (G:7.89% B:0.31%) 60.90% (G:13.34% B:0.34%)  

2.  XG Roller++  12/11 6/5 3/2(2)  eq: 0.521 (0.042) 
 Player: Opponent:  40.25% (G:9.49% B:0.34%) 59.75% (G:17.50% B:0.56%)  

3.  4ply  12/9 6/5  eq: 0.508 (0.028) 
 Player: Opponent:  40.97% (G:8.93% B:0.35%) 59.03% (G:18.37% B:0.58%)  

4.  3ply  12/11 8/5  eq: 0.571 (0.091) 
 Player: Opponent:  38.94% (G:8.33% B:0.23%) 61.06% (G:17.47% B:0.52%)  

5.  3ply  7/5(2)  eq: 0.575 (0.095) 
 Player: Opponent:  38.16% (G:8.44% B:0.24%) 61.84% (G:16.43% B:0.48%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.60% (G:17.47% B:0.57%) 
59.59% (G:17.27% B:0.55%) 
Opponent Winning Chances: 
40.40% (G:9.82% B:0.37%) 
40.41% (G:9.66% B:0.36%) 
Cubeless Equities 
+0.263 
+0.569 
Cubeful Equities 
No double:  +0.515  
Double/Take:  +0.448 (0.066)  
Double/Pass:  +1.000 (+0.485) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.7% 


11: 9/7 8/7 2/1 


1.  4ply  9/7 8/7 2/1  eq: +0.875 
 Player: Opponent:  68.43% (G:18.43% B:0.55%) 31.57% (G:6.48% B:0.21%)  

2.  4ply  9/7 8/7 6/5  eq: +0.804 (0.071) 
 Player: Opponent:  66.74% (G:18.02% B:0.59%) 33.26% (G:7.06% B:0.22%)  

3.  2ply  9/6 2/1  eq: +0.433 (0.441) 
 Player: Opponent:  58.39% (G:15.93% B:0.52%) 41.61% (G:8.95% B:0.23%)  

4.  2ply  9/5  eq: +0.433 (0.442) 
 Player: Opponent:  58.22% (G:16.29% B:0.57%) 41.78% (G:9.08% B:0.22%)  

5.  2ply  8/7(3) 2/1  eq: +0.414 (0.460) 
 Player: Opponent:  57.89% (G:15.54% B:0.53%) 42.11% (G:8.40% B:0.20%)  



51: 22/21 11/6 


1.  XG Roller++  11/5  eq: 0.951 
 Player: Opponent:  31.54% (G:6.27% B:0.21%) 68.46% (G:18.65% B:0.51%)  

2.  XG Roller++  22/21 11/6  eq: 1.000 (0.049) 
 Player: Opponent:  29.44% (G:6.23% B:0.21%) 70.56% (G:17.41% B:0.43%)  

3.  XG Roller++  11/6 2/1  eq: 1.000 (0.049) 
 Player: Opponent:  29.06% (G:5.51% B:0.15%) 70.94% (G:19.33% B:0.55%)  

4.  XG Roller++  8/7 8/3  eq: 1.000 (0.049) 
 Player: Opponent:  28.00% (G:5.10% B:0.17%) 72.00% (G:20.10% B:0.57%)  

5.  XG Roller++  11/6 8/7  eq: 1.000 (0.049) 
 Player: Opponent:  27.88% (G:4.91% B:0.16%) 72.12% (G:19.75% B:0.51%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
70.12% (G:17.71% B:0.44%) 
70.45% (G:17.73% B:0.42%) 
Opponent Winning Chances: 
29.88% (G:6.63% B:0.25%) 
29.55% (G:6.60% B:0.24%) 
Cubeless Equities 
+0.513 
+1.093 
Cubeful Equities 
No double:  +0.847 (0.153)  
Double/Take:  +1.005 (+0.005)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


62: 21/13 


1.  3ply  21/13  eq: +0.903 
 Player: Opponent:  71.70% (G:18.73% B:0.54%) 28.30% (G:6.21% B:0.20%)  

2.  3ply  21/15 5/3*  eq: +0.791 (0.112) 
 Player: Opponent:  68.43% (G:18.58% B:0.61%) 31.57% (G:10.15% B:0.54%)  

3.  1ply  7/5 7/1  eq: +0.494 (0.409) 
 Player: Opponent:  59.83% (G:17.32% B:0.44%) 40.17% (G:8.62% B:0.21%)  

4.  1ply  9/3* 5/3  eq: +0.475 (0.428) 
 Player: Opponent:  59.58% (G:16.79% B:0.47%) 40.42% (G:9.03% B:0.31%)  

5.  1ply  9/3* 3/1  eq: +0.474 (0.429) 
 Player: Opponent:  59.30% (G:17.11% B:0.32%) 40.70% (G:8.39% B:0.21%)  



65: 21/10 


1.  XG Roller++  21/10  eq: 1.000 
 Player: Opponent:  27.53% (G:4.97% B:0.17%) 72.47% (G:16.82% B:0.39%)  

2.  XG Roller++  21/15 6/1  eq: 1.000 
 Player: Opponent:  24.72% (G:4.20% B:0.12%) 75.28% (G:20.56% B:0.62%)  

3.  XG Roller++  21/15 8/3  eq: 1.009 (0.009) 
 Player: Opponent:  25.92% (G:5.65% B:0.24%) 74.08% (G:26.17% B:0.98%)  

4.  XG Roller++  21/15 7/2  eq: 1.023 (0.023) 
 Player: Opponent:  23.68% (G:3.94% B:0.11%) 76.32% (G:22.08% B:0.73%)  

5.  XG Roller++  8/3 8/2  eq: 1.049 (0.049) 
 Player: Opponent:  19.43% (G:2.65% B:0.06%) 80.57% (G:20.40% B:0.48%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
72.28% (G:17.43% B:0.45%) 
72.24% (G:17.77% B:0.44%) 
Opponent Winning Chances: 
27.72% (G:5.18% B:0.16%) 
27.76% (G:5.27% B:0.16%) 
Cubeless Equities 
+0.570 
+1.198 
Cubeful Equities 
No double:  +0.854 (0.146)  
Double/Take:  +1.103 (+0.103)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


64: 21/15* 5/1 


1.  XG Roller++  21/15* 5/1  eq: +1.069 
 Player: Opponent:  78.43% (G:22.66% B:0.37%) 21.57% (G:2.34% B:0.09%)  

2.  XG Roller++  21/15* 15/11  eq: +1.033 (0.036) 
 Player: Opponent:  77.66% (G:18.64% B:0.45%) 22.34% (G:2.71% B:0.10%)  

3.  XG Roller++  21/15* 13/9  eq: +1.031 (0.038) 
 Player: Opponent:  77.08% (G:18.92% B:0.46%) 22.92% (G:2.84% B:0.09%)  

4.  3ply  21/15* 6/2  eq: +0.965 (0.103) 
 Player: Opponent:  72.93% (G:20.74% B:0.63%) 27.07% (G:6.09% B:0.29%)  

5.  1ply  21/15* 7/3*  eq: +0.619 (0.450) 
 Player: Opponent:  63.00% (G:21.98% B:0.70%) 37.00% (G:14.56% B:1.23%)  



53: Bar/22 8/3 


1.  XG Roller++  Bar/22 8/3  eq: 1.000 
 Player: Opponent:  26.99% (G:2.65% B:0.07%) 73.01% (G:15.70% B:0.29%)  

2.  XG Roller++  Bar/22 6/1  eq: 1.000 
 Player: Opponent:  26.00% (G:2.46% B:0.05%) 74.00% (G:16.17% B:0.27%)  

3.  XG Roller++  Bar/22 7/2  eq: 1.000 
 Player: Opponent:  25.05% (G:2.33% B:0.05%) 74.95% (G:16.41% B:0.27%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
73.08% (G:15.84% B:0.29%) 
74.00% (G:15.29% B:0.29%) 
Opponent Winning Chances: 
26.92% (G:2.66% B:0.07%) 
26.00% (G:2.67% B:0.05%) 
Cubeless Equities 
+0.598 
+1.263 
Cubeful Equities 
No double:  +0.985 (0.015)  
Double/Take:  +1.148 (+0.148)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


43: 15/8 


1.  XG Roller++  15/8  eq: +1.005 
 Player: Opponent:  73.39% (G:15.79% B:0.29%) 26.61% (G:2.57% B:0.07%)  

2.  XG Roller++  15/12 13/9  eq: +0.998 (0.006) 
 Player: Opponent:  73.52% (G:15.45% B:0.28%) 26.48% (G:2.62% B:0.07%)  

3.  XG Roller++  13/6  eq: +0.994 (0.011) 
 Player: Opponent:  73.19% (G:15.65% B:0.29%) 26.81% (G:2.68% B:0.07%)  

4.  XG Roller++  15/12 6/2  eq: +0.983 (0.022) 
 Player: Opponent:  71.59% (G:15.96% B:0.35%) 28.41% (G:3.53% B:0.11%)  

5.  3ply  15/11 13/10  eq: +0.905 (0.099) 
 Player: Opponent:  70.70% (G:16.69% B:0.37%) 29.30% (G:4.81% B:0.14%)  



65: 21/10 


1.  XG Roller++  21/10  eq: 1.000 
 Player: Opponent:  22.76% (G:2.11% B:0.06%) 77.24% (G:14.08% B:0.38%)  

2.  XG Roller++  8/3 7/1  eq: 1.000 
 Player: Opponent:  23.14% (G:2.11% B:0.04%) 76.86% (G:15.87% B:0.27%)  

3.  XG Roller++  7/1 6/1  eq: 1.000 
 Player: Opponent:  22.63% (G:1.94% B:0.04%) 77.37% (G:15.94% B:0.27%)  

4.  XG Roller++  7/2 7/1  eq: 1.011 (0.011) 
 Player: Opponent:  21.52% (G:1.83% B:0.03%) 78.48% (G:17.08% B:0.29%)  

5.  XG Roller++  8/2 6/1  eq: 1.014 (0.014) 
 Player: Opponent:  21.01% (G:1.77% B:0.03%) 78.99% (G:17.52% B:0.30%)  



Double/Pass 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
77.48% (G:13.41% B:0.26%) 
77.32% (G:16.10% B:0.40%) 
Opponent Winning Chances: 
22.52% (G:2.02% B:0.05%) 
22.68% (G:2.79% B:0.07%) 
Cubeless Equities 
+0.668 
+1.421 
Cubeful Equities 
No double:  +0.994 (0.006)  
Double/Take:  +1.329 (+0.329)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



