41: 24/23 13/9 


1.  Book^{1}  24/23 13/9  eq: 0.247 
 Player: Opponent:  49.89% (G:13.72% B:0.60%) 50.11% (G:13.35% B:0.55%)  

2.  Book^{1}  24/23 24/20  eq: 0.291 (0.044) 
 Player: Opponent:  48.94% (G:12.65% B:0.60%) 51.06% (G:13.53% B:0.48%)  

3.  Book^{1}  13/8  eq: 0.303 (0.056) 
 Player: Opponent:  48.92% (G:13.31% B:0.65%) 51.08% (G:14.36% B:0.59%)  

4.  Book^{1}  13/9 6/5  eq: 0.314 (0.067) 
 Player: Opponent:  49.31% (G:13.99% B:0.64%) 50.69% (G:14.89% B:0.96%)  

5.  Book^{1}  24/20 6/5  eq: 0.318 (0.071) 
 Player: Opponent:  48.67% (G:12.45% B:0.54%) 51.33% (G:14.39% 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 XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
49.97% (G:13.46% B:0.54%) 
49.95% (G:13.19% B:0.52%) 
Opponent Winning Chances: 
50.03% (G:13.99% B:0.63%) 
50.05% (G:13.78% B:0.62%) 
Cubeless Equities 
0.001 
+0.145 
Cubeful Equities 
No double:  +0.246  
Double/Take:  +0.153 (0.093)  
Double/Pass:  +1.000 (+0.754) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.9% 


62: 24/16* 


1.  3ply  24/16*  eq: +0.407 
 Player: Opponent:  54.82% (G:14.11% B:0.63%) 45.18% (G:11.64% B:0.44%)  

2.  2ply  24/18 13/11  eq: +0.095 (0.313) 
 Player: Opponent:  47.30% (G:11.28% B:0.55%) 52.70% (G:16.34% B:0.74%)  

3.  1ply  24/22 24/18  eq: +0.024 (0.383) 
 Player: Opponent:  45.76% (G:10.37% B:0.44%) 54.24% (G:17.76% B:0.63%)  

4.  1ply  24/22 8/2*  eq: +0.024 (0.383) 
 Player: Opponent:  44.78% (G:11.40% B:0.53%) 55.22% (G:16.24% B:0.91%)  

5.  1ply  13/11 8/2*  eq: +0.017 (0.390) 
 Player: Opponent:  44.35% (G:11.90% B:0.66%) 55.65% (G:17.06% B:1.36%)  



61: Bar/18 


1.  3ply  Bar/18  eq: 0.480 
 Player: Opponent:  43.76% (G:10.22% B:0.36%) 56.24% (G:15.11% B:0.65%)  

2.  3ply  Bar/24 13/7  eq: 0.591 (0.111) 
 Player: Opponent:  42.18% (G:10.79% B:0.40%) 57.82% (G:16.81% B:1.11%)  

3.  2ply  Bar/24 8/2  eq: 0.765 (0.285) 
 Player: Opponent:  39.49% (G:10.12% B:0.38%) 60.51% (G:19.01% B:1.46%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
56.13% (G:14.98% B:0.62%) 
56.08% (G:15.25% B:0.63%) 
Opponent Winning Chances: 
43.87% (G:10.33% B:0.38%) 
43.92% (G:10.39% B:0.40%) 
Cubeless Equities 
+0.171 
+0.476 
Cubeful Equities 
No double:  +0.480  
Double/Take:  +0.468 (0.012)  
Double/Pass:  +1.000 (+0.520) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.2% 


54: 16/7* 


1.  3ply  16/7*  eq: +0.417 
 Player: Opponent:  54.43% (G:14.60% B:0.66%) 45.57% (G:10.87% B:0.43%)  

2.  3ply  24/20 6/1*  eq: +0.284 (0.133) 
 Player: Opponent:  51.57% (G:13.15% B:0.55%) 48.43% (G:12.55% B:0.57%)  

3.  3ply  24/20 16/11  eq: +0.255 (0.162) 
 Player: Opponent:  51.51% (G:12.12% B:0.49%) 48.49% (G:12.11% B:0.39%)  

4.  3ply  13/8 6/2*  eq: +0.250 (0.167) 
 Player: Opponent:  50.85% (G:12.94% B:0.53%) 49.15% (G:12.75% B:0.62%)  

5.  3ply  24/20 13/8  eq: +0.250 (0.167) 
 Player: Opponent:  51.20% (G:12.63% B:0.50%) 48.80% (G:12.73% B:0.41%)  



65: Bar/20 24/18* 


1.  3ply  Bar/20 24/18*  eq: 0.267 
 Player: Opponent:  48.89% (G:11.24% B:0.48%) 51.11% (G:12.73% B:0.45%)  

2.  1ply  Bar/14  eq: 0.764 (0.497) 
 Player: Opponent:  38.99% (G:8.28% B:0.30%) 61.01% (G:18.57% B:0.83%)  

3.  1ply  Bar/20 13/7  eq: 0.793 (0.526) 
 Player: Opponent:  39.37% (G:9.21% B:0.34%) 60.63% (G:20.28% B:1.07%)  

4.  1ply  Bar/20 8/2  eq: 0.925 (0.658) 
 Player: Opponent:  36.85% (G:8.37% B:0.28%) 63.15% (G:21.31% B:1.17%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
51.18% (G:12.73% B:0.49%) 
51.15% (G:12.62% B:0.48%) 
Opponent Winning Chances: 
48.82% (G:11.54% B:0.50%) 
48.85% (G:11.33% B:0.49%) 
Cubeless Equities 
+0.038 
+0.209 
Cubeful Equities 
No double:  +0.280  
Double/Take:  +0.198 (0.082)  
Double/Pass:  +1.000 (+0.720) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 9.2% 


61: Bar/18 


1.  XG Roller++  Bar/24 13/7*  eq: +0.232 
 Player: Opponent:  49.88% (G:12.66% B:0.48%) 50.12% (G:12.54% B:0.62%)  

2.  XG Roller++  Bar/18  eq: +0.117 (0.115) 
 Player: Opponent:  48.26% (G:9.33% B:0.29%) 51.74% (G:11.92% B:0.42%)  

3.  3ply  Bar/24 8/2*  eq: +0.085 (0.147) 
 Player: Opponent:  46.42% (G:11.64% B:0.42%) 53.58% (G:14.23% B:0.73%)  



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


1.  XG Roller++  23/18 13/8 6/1*(2)  eq: +0.144 
 Player: Opponent:  58.16% (G:19.13% B:0.37%) 41.84% (G:8.07% B:0.30%)  

2.  XG Roller++  8/3(2) 6/1*(2)  eq: +0.003 (0.142) 
 Player: Opponent:  54.35% (G:22.55% B:0.40%) 45.65% (G:10.42% B:0.47%)  

3.  XG Roller+  23/18 20/15 6/1*(2)  eq: +0.153 (+0.009) 
 Player: Opponent:  58.55% (G:18.26% B:0.41%) 41.45% (G:7.96% B:0.26%)  

4.  3ply  18/8 6/1*(2)  eq: +0.106 (0.039) 
 Player: Opponent:  56.76% (G:19.59% B:0.38%) 43.24% (G:8.00% B:0.26%)  

5.  3ply  20/15 18/13 6/1*(2)  eq: +0.035 (0.109) 
 Player: Opponent:  55.67% (G:18.15% B:0.45%) 44.33% (G:9.38% B:0.36%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
45.17% (G:10.35% B:0.49%) 
45.17% (G:10.30% B:0.49%) 
Opponent Winning Chances: 
54.83% (G:22.84% B:0.47%) 
54.83% (G:22.76% B:0.47%) 
Cubeless Equities 
0.205 
0.223 
Cubeful Equities 
No double:  0.020  
Double/Take:  0.150 (0.130)  
Double/Pass:  +1.000 (+1.020) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.1% 


52: Bar/18 


1.  3ply  Bar/18  eq: +0.125 
 Player: Opponent:  48.94% (G:9.23% B:0.30%) 51.06% (G:12.14% B:0.11%)  

2.  3ply  Bar/23 18/13  eq: 0.008 (0.133) 
 Player: Opponent:  46.00% (G:9.05% B:0.35%) 54.00% (G:19.78% B:0.21%)  

3.  2ply  Bar/23 13/8  eq: 0.087 (0.212) 
 Player: Opponent:  43.43% (G:9.57% B:0.44%) 56.57% (G:22.92% B:0.42%)  

4.  2ply  Bar/20 18/16  eq: 0.168 (0.293) 
 Player: Opponent:  41.44% (G:9.36% B:0.52%) 58.56% (G:26.53% B:0.47%)  

5.  1ply  Bar/23 6/1  eq: 0.221 (0.346) 
 Player: Opponent:  39.99% (G:9.23% B:0.36%) 60.01% (G:27.38% B:0.51%)  



11: 23/20 6/5 


1.  3ply  23/20 6/5  eq: 0.236 
 Player: Opponent:  47.20% (G:11.59% B:0.22%) 52.80% (G:8.70% B:0.26%)  

2.  3ply  23/20 3/2  eq: 0.379 (0.144) 
 Player: Opponent:  43.70% (G:9.84% B:0.18%) 56.30% (G:9.86% B:0.31%)  

3.  2ply  23/21 3/2(2)  eq: 0.504 (0.269) 
 Player: Opponent:  43.11% (G:13.11% B:0.19%) 56.89% (G:15.62% B:0.78%)  

4.  2ply  23/22 6/5(3)  eq: 0.568 (0.333) 
 Player: Opponent:  41.92% (G:11.14% B:0.16%) 58.08% (G:15.94% B:0.79%)  

5.  2ply  6/4(2)  eq: 0.630 (0.394) 
 Player: Opponent:  41.61% (G:13.65% B:0.27%) 58.39% (G:18.11% B:1.05%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
52.96% (G:9.50% B:0.34%) 
53.04% (G:9.36% B:0.32%) 
Opponent Winning Chances: 
47.04% (G:12.71% B:0.25%) 
46.96% (G:12.60% B:0.25%) 
Cubeless Equities 
+0.034 
+0.186 
Cubeful Equities 
No double:  +0.264  
Double/Take:  +0.184 (0.080)  
Double/Pass:  +1.000 (+0.736) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.9% 


62: 13/11 13/7* 


1.  3ply  13/11 13/7*  eq: +0.200 
 Player: Opponent:  51.21% (G:10.78% B:0.46%) 48.79% (G:15.51% B:0.27%)  

2.  3ply  13/7* 8/6  eq: +0.147 (0.054) 
 Player: Opponent:  50.14% (G:8.94% B:0.26%) 49.86% (G:13.41% B:0.16%)  

3.  3ply  13/7* 6/4  eq: +0.141 (0.060) 
 Player: Opponent:  49.96% (G:10.09% B:0.39%) 50.04% (G:17.61% B:0.26%)  

4.  2ply  8/2 6/4  eq: +0.038 (0.162) 
 Player: Opponent:  47.35% (G:6.70% B:0.17%) 52.65% (G:11.08% B:0.22%)  

5.  2ply  18/16 13/7*  eq: 0.078 (0.279) 
 Player: Opponent:  44.70% (G:8.75% B:0.36%) 55.30% (G:24.58% B:0.80%)  



65: Bar/14* 


1.  3ply  Bar/14*  eq: 0.123 
 Player: Opponent:  51.51% (G:17.97% B:0.37%) 48.49% (G:10.81% B:0.37%)  

2.  2ply  Bar/20 8/2  eq: 0.270 (0.147) 
 Player: Opponent:  45.80% (G:7.51% B:0.06%) 54.20% (G:7.32% B:0.28%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
48.49% (G:10.81% B:0.37%) 
48.50% (G:10.75% B:0.36%) 
Opponent Winning Chances: 
51.51% (G:17.97% B:0.37%) 
51.50% (G:17.89% B:0.37%) 
Cubeless Equities 
0.091 
0.024 
Cubeful Equities 
No double:  +0.123  
Double/Take:  +0.013 (0.110)  
Double/Pass:  +1.000 (+0.877) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.0% 


64: Bar/21 13/7 


1.  3ply  Bar/21 13/7  eq: 0.006 
 Player: Opponent:  46.08% (G:7.38% B:0.23%) 53.92% (G:14.59% B:0.15%)  

2.  2ply  Bar/21 7/1  eq: 0.189 (0.184) 
 Player: Opponent:  40.86% (G:6.92% B:0.17%) 59.14% (G:18.37% B:0.33%)  

3.  2ply  Bar/21 8/2  eq: 0.210 (0.204) 
 Player: Opponent:  40.05% (G:8.49% B:0.35%) 59.95% (G:23.46% B:0.54%)  

4.  2ply  Bar/15  eq: 0.211 (0.205) 
 Player: Opponent:  40.63% (G:7.55% B:0.28%) 59.37% (G:23.04% B:0.43%)  



52: 13/8 5/3 


1.  3ply  13/8 5/3  eq: 0.065 
 Player: Opponent:  52.39% (G:11.75% B:0.18%) 47.61% (G:7.79% B:0.21%)  

2.  2ply  13/11 13/8  eq: 0.253 (0.188) 
 Player: Opponent:  47.38% (G:12.95% B:0.24%) 52.62% (G:10.53% B:0.42%)  

3.  2ply  14/9 8/6  eq: 0.257 (0.192) 
 Player: Opponent:  46.62% (G:11.62% B:0.17%) 53.38% (G:9.25% B:0.28%)  

4.  2ply  13/6  eq: 0.292 (0.227) 
 Player: Opponent:  46.12% (G:11.53% B:0.16%) 53.88% (G:10.29% B:0.36%)  

5.  2ply  8/3 5/3  eq: 0.383 (0.318) 
 Player: Opponent:  43.38% (G:10.50% B:0.15%) 56.62% (G:10.71% B:0.33%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
47.61% (G:7.79% B:0.21%) 
47.80% (G:8.12% B:0.22%) 
Opponent Winning Chances: 
52.39% (G:11.75% B:0.18%) 
52.20% (G:12.31% B:0.19%) 
Cubeless Equities 
0.081 
0.041 
Cubeful Equities 
No double:  +0.065  
Double/Take:  0.058 (0.123)  
Double/Pass:  +1.000 (+0.935) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.4% 


65: 13/8 13/7 


1.  XG Roller++  21/10  eq: +0.004 
 Player: Opponent:  45.74% (G:7.78% B:0.26%) 54.26% (G:13.24% B:0.23%)  

2.  XG Roller++  13/8 13/7  eq: 0.045 (0.049) 
 Player: Opponent:  44.35% (G:7.17% B:0.21%) 55.65% (G:12.55% B:0.19%)  

3.  3ply  8/2 6/1  eq: 0.095 (0.099) 
 Player: Opponent:  42.88% (G:8.20% B:0.22%) 57.12% (G:16.46% B:0.21%)  

4.  3ply  7/1 6/1  eq: 0.113 (0.117) 
 Player: Opponent:  42.19% (G:8.89% B:0.23%) 57.81% (G:18.08% B:0.29%)  

5.  3ply  21/15 8/3  eq: 0.119 (0.123) 
 Player: Opponent:  42.58% (G:7.34% B:0.25%) 57.42% (G:16.68% B:0.13%)  



53: 14/6 


1.  3ply  14/6  eq: +0.056 
 Player: Opponent:  55.71% (G:9.35% B:0.11%) 44.29% (G:5.77% B:0.14%)  

2.  3ply  14/11 13/8  eq: 0.070 (0.126) 
 Player: Opponent:  51.95% (G:10.36% B:0.18%) 48.05% (G:6.95% B:0.20%)  

3.  2ply  13/5  eq: 0.160 (0.216) 
 Player: Opponent:  49.42% (G:11.80% B:0.13%) 50.58% (G:8.34% B:0.30%)  

4.  1ply  14/9 13/10  eq: 0.300 (0.356) 
 Player: Opponent:  46.00% (G:11.69% B:0.20%) 54.00% (G:10.53% B:0.42%)  

5.  1ply  13/10 13/8  eq: 0.339 (0.395) 
 Player: Opponent:  44.96% (G:10.51% B:0.19%) 55.04% (G:10.63% B:0.49%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
44.29% (G:5.77% B:0.14%) 
44.57% (G:6.33% B:0.16%) 
Opponent Winning Chances: 
55.71% (G:9.35% B:0.11%) 
55.43% (G:10.57% B:0.11%) 
Cubeless Equities 
0.144 
0.184 
Cubeful Equities 
No double:  0.056  
Double/Take:  0.227 (0.171)  
Double/Pass:  +1.000 (+1.056) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.2% 


64: 8/2 6/2 


1.  3ply  8/2 6/2  eq: 0.035 
 Player: Opponent:  44.79% (G:6.99% B:0.22%) 55.21% (G:12.04% B:0.10%)  

2.  3ply  21/15 8/4  eq: 0.109 (0.074) 
 Player: Opponent:  42.70% (G:6.71% B:0.27%) 57.30% (G:13.22% B:0.10%)  

3.  3ply  8/4 8/2  eq: 0.122 (0.087) 
 Player: Opponent:  42.16% (G:7.87% B:0.28%) 57.84% (G:16.23% B:0.20%)  

4.  3ply  8/2 7/3  eq: 0.127 (0.092) 
 Player: Opponent:  42.01% (G:7.75% B:0.27%) 57.99% (G:16.04% B:0.16%)  

5.  3ply  21/11  eq: 0.150 (0.115) 
 Player: Opponent:  41.69% (G:5.14% B:0.19%) 58.31% (G:10.81% B:0.09%)  



22: 13/11 8/4* 6/4 


1.  XG Roller++  8/4*(2)  eq: +0.340 
 Player: Opponent:  63.29% (G:21.85% B:0.25%) 36.71% (G:7.11% B:0.27%)  

2.  XG Roller++  13/11 8/4* 6/4  eq: +0.255 (0.085) 
 Player: Opponent:  60.72% (G:23.23% B:0.38%) 39.28% (G:7.70% B:0.32%)  

3.  2ply  8/4* 6/4 3/1  eq: +0.077 (0.263) 
 Player: Opponent:  56.19% (G:15.54% B:0.13%) 43.81% (G:7.40% B:0.25%)  

4.  2ply  13/11(3) 6/4*  eq: +0.016 (0.324) 
 Player: Opponent:  54.05% (G:14.84% B:0.10%) 45.95% (G:7.15% B:0.22%)  

5.  1ply  13/11(3) 3/1  eq: 0.046 (0.386) 
 Player: Opponent:  52.59% (G:8.98% B:0.13%) 47.41% (G:6.43% B:0.10%)  



52: Bar/18 


1.  3ply  Bar/18  eq: 0.020 
 Player: Opponent:  44.98% (G:6.00% B:0.17%) 55.02% (G:7.42% B:0.04%)  

2.  2ply  Bar/23 8/3  eq: 0.278 (0.258) 
 Player: Opponent:  38.08% (G:7.72% B:0.25%) 61.92% (G:22.54% B:0.26%)  

3.  2ply  Bar/20 6/4  eq: 0.303 (0.283) 
 Player: Opponent:  37.91% (G:7.82% B:0.30%) 62.09% (G:26.37% B:0.26%)  

4.  2ply  Bar/23 6/1  eq: 0.334 (0.315) 
 Player: Opponent:  36.63% (G:7.46% B:0.21%) 63.37% (G:23.98% B:0.26%)  

5.  2ply  Bar/20 8/6  eq: 0.339 (0.319) 
 Player: Opponent:  36.70% (G:7.21% B:0.23%) 63.30% (G:24.44% B:0.21%)  



33: 13/10(2) 11/5 


1.  XG Roller++  11/2 8/5  eq: +0.026 (+0.004) 
 Player: Opponent:  55.59% (G:11.94% B:0.13%) 44.41% (G:8.48% B:0.27%)  

2.  XG Roller++  13/10(2) 11/8 6/3  eq: +0.022 
 Player: Opponent:  55.64% (G:7.64% B:0.11%) 44.36% (G:7.35% B:0.27%)  

3.  XG Roller++  13/10(2) 11/5  eq: 0.040 (0.062) 
 Player: Opponent:  53.22% (G:9.12% B:0.11%) 46.78% (G:6.63% B:0.27%)  

4.  XG Roller+  13/10(2) 11/8 4/1  eq: +0.038 (+0.016) 
 Player: Opponent:  56.10% (G:7.10% B:0.11%) 43.90% (G:6.65% B:0.21%)  

5.  3ply  11/5 8/5 6/3  eq: +0.005 (0.017) 
 Player: Opponent:  55.17% (G:7.36% B:0.11%) 44.83% (G:7.10% B:0.16%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
46.46% (G:5.18% B:0.13%) 
46.56% (G:5.19% B:0.14%) 
Opponent Winning Chances: 
53.54% (G:7.45% B:0.17%) 
53.44% (G:7.47% B:0.17%) 
Cubeless Equities 
0.090 
0.094 
Cubeful Equities 
No double:  +0.013  
Double/Take:  0.163 (0.175)  
Double/Pass:  +1.000 (+0.987) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.1% 


54: 8/3 7/3 


1.  XG Roller+  8/3 7/3  eq: 0.090 
 Player: Opponent:  42.55% (G:6.63% B:0.20%) 57.45% (G:9.81% B:0.17%)  

2.  XG Roller+  18/13 8/4  eq: 0.138 (0.048) 
 Player: Opponent:  41.52% (G:6.72% B:0.27%) 58.48% (G:12.26% B:0.24%)  

3.  XG Roller+  18/14 8/3  eq: 0.143 (0.053) 
 Player: Opponent:  41.09% (G:6.85% B:0.27%) 58.91% (G:12.98% B:0.27%)  

4.  3ply  18/13 7/3  eq: 0.159 (0.069) 
 Player: Opponent:  41.01% (G:5.44% B:0.18%) 58.99% (G:10.99% B:0.09%)  

5.  3ply  18/14 6/1  eq: 0.207 (0.117) 
 Player: Opponent:  39.36% (G:6.13% B:0.23%) 60.64% (G:13.21% B:0.16%)  



65: 10/5 10/4 


1.  3ply  10/5 10/4  eq: 0.042 
 Player: Opponent:  52.34% (G:10.18% B:0.22%) 47.66% (G:5.25% B:0.12%)  

2.  3ply  10/5 8/2  eq: 0.103 (0.061) 
 Player: Opponent:  50.45% (G:9.50% B:0.20%) 49.55% (G:5.33% B:0.14%)  

3.  3ply  8/2 6/1  eq: 0.138 (0.096) 
 Player: Opponent:  51.20% (G:6.38% B:0.07%) 48.80% (G:7.99% B:0.19%)  

4.  3ply  20/15 20/14  eq: 0.168 (0.126) 
 Player: Opponent:  51.33% (G:7.08% B:0.14%) 48.67% (G:14.10% B:0.78%)  

5.  2ply  10/4 8/3  eq: 0.322 (0.280) 
 Player: Opponent:  44.68% (G:7.55% B:0.06%) 55.32% (G:8.56% B:0.19%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
47.66% (G:5.25% B:0.12%) 
47.62% (G:5.23% B:0.12%) 
Opponent Winning Chances: 
52.34% (G:10.18% B:0.22%) 
52.38% (G:10.17% B:0.21%) 
Cubeless Equities 
0.090 
0.090 
Cubeful Equities 
No double:  +0.042  
Double/Take:  0.129 (0.171)  
Double/Pass:  +1.000 (+0.958) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.2% 


61: 18/12 18/17* 


1.  3ply  18/12 18/17*  eq: +0.425 
 Player: Opponent:  59.22% (G:6.28% B:0.19%) 40.78% (G:7.22% B:0.12%)  

2.  2ply  18/17* 17/11  eq: +0.200 (0.225) 
 Player: Opponent:  53.01% (G:6.03% B:0.13%) 46.99% (G:11.92% B:0.19%)  

3.  1ply  18/17* 8/2  eq: 0.068 (0.493) 
 Player: Opponent:  45.57% (G:6.39% B:0.10%) 54.43% (G:18.88% B:0.28%)  

4.  1ply  8/7 8/2  eq: 0.308 (0.733) 
 Player: Opponent:  36.66% (G:4.11% B:0.07%) 63.34% (G:9.58% B:0.03%)  

5.  1ply  7/6 7/1  eq: 0.352 (0.777) 
 Player: Opponent:  35.21% (G:4.76% B:0.07%) 64.79% (G:11.85% B:0.04%)  



64: Bar/15 


1.  3ply  Bar/15  eq: 0.214 
 Player: Opponent:  46.62% (G:9.34% B:0.26%) 53.38% (G:4.67% B:0.11%)  

2.  1ply  Bar/21 20/14  eq: 0.879 (0.665) 
 Player: Opponent:  36.28% (G:10.93% B:0.69%) 63.72% (G:19.02% B:1.10%)  



No double 


Analyzed in 3ply 
No double 
Double/Take 
Player Winning Chances: 
53.38% (G:4.67% B:0.11%) 
53.40% (G:4.82% B:0.11%) 
Opponent Winning Chances: 
46.62% (G:9.34% B:0.26%) 
46.60% (G:9.39% B:0.27%) 
Cubeless Equities 
+0.026 
+0.132 
Cubeful Equities 
No double:  +0.214  
Double/Take:  +0.096 (0.119)  
Double/Pass:  +1.000 (+0.786) 

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


44: 18/10* 8/4(2) 


1.  XG Roller++  18/10* 17/13 10/6  eq: +0.796 
 Player: Opponent:  70.99% (G:4.71% B:0.12%) 29.01% (G:2.99% B:0.08%)  

2.  XG Roller++  18/10* 8/4(2)  eq: +0.774 (0.022) 
 Player: Opponent:  72.05% (G:10.26% B:0.28%) 27.95% (G:5.66% B:0.25%)  

3.  3ply  18/10* 12/8 10/6  eq: +0.740 (0.056) 
 Player: Opponent:  69.05% (G:5.65% B:0.13%) 30.95% (G:2.68% B:0.03%)  

4.  3ply  18/10* 10/2  eq: +0.712 (0.084) 
 Player: Opponent:  67.74% (G:5.77% B:0.12%) 32.26% (G:3.76% B:0.05%)  

5.  2ply  18/10* 17/13 12/8  eq: +0.489 (0.307) 
 Player: Opponent:  62.85% (G:5.43% B:0.12%) 37.15% (G:11.04% B:0.20%)  



52: Bar/20 4/2 


1.  XG Roller+  Bar/20 4/2  eq: 0.677 
 Player: Opponent:  33.14% (G:2.91% B:0.04%) 66.86% (G:4.22% B:0.08%)  

2.  XG Roller+  Bar/20 3/1  eq: 0.709 (0.032) 
 Player: Opponent:  32.28% (G:2.38% B:0.04%) 67.72% (G:4.17% B:0.07%)  

3.  2ply  Bar/20 6/4  eq: 0.867 (0.190) 
 Player: Opponent:  28.53% (G:1.43% B:0.02%) 71.47% (G:4.84% B:0.12%)  

4.  2ply  Bar/20 5/3  eq: 0.915 (0.238) 
 Player: Opponent:  27.48% (G:1.46% B:0.02%) 72.52% (G:5.04% B:0.13%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
66.68% (G:4.28% B:0.07%) 
66.60% (G:4.29% B:0.07%) 
Opponent Winning Chances: 
33.32% (G:3.08% B:0.03%) 
33.40% (G:3.09% B:0.03%) 
Cubeless Equities 
+0.346 
+0.706 
Cubeful Equities 
No double:  +0.666  
Double/Take:  +0.649 (0.017)  
Double/Pass:  +1.000 (+0.334) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.6% 


62: 10/4 6/4 


1.  XG Roller++  17/15 10/4  eq: +0.501 
 Player: Opponent:  60.70% (G:5.15% B:0.12%) 39.30% (G:8.24% B:0.14%)  

2.  XG Roller++  10/4 6/4  eq: +0.471 (0.029) 
 Player: Opponent:  59.29% (G:6.24% B:0.16%) 40.71% (G:9.64% B:0.18%)  

3.  3ply  10/2  eq: +0.446 (0.055) 
 Player: Opponent:  58.80% (G:6.26% B:0.13%) 41.20% (G:9.35% B:0.14%)  

4.  3ply  17/11 12/10  eq: +0.391 (0.110) 
 Player: Opponent:  57.75% (G:4.02% B:0.10%) 42.25% (G:5.42% B:0.02%)  

5.  2ply  10/4 3/1  eq: +0.175 (0.326) 
 Player: Opponent:  52.19% (G:5.60% B:0.08%) 47.81% (G:13.26% B:0.37%)  



61: 20/13* 


1.  3ply  20/13*  eq: +0.511 
 Player: Opponent:  69.53% (G:32.57% B:0.68%) 30.47% (G:10.12% B:0.35%)  

2.  1ply  20/14 3/2  eq: 0.800 (1.310) 
 Player: Opponent:  32.07% (G:3.46% B:0.11%) 67.93% (G:8.41% B:0.11%)  

3.  1ply  20/14 2/1  eq: 1.000 (1.511) 
 Player: Opponent:  25.92% (G:2.37% B:0.06%) 74.08% (G:10.05% B:0.16%)  

4.  1ply  20/14 6/5  eq: 1.000 (1.511) 
 Player: Opponent:  22.23% (G:1.89% B:0.06%) 77.77% (G:13.17% B:0.29%)  

5.  1ply  20/14 5/4  eq: 1.000 (1.511) 
 Player: Opponent:  21.89% (G:1.97% B:0.06%) 78.11% (G:13.12% B:0.31%)  



65: Cannot Move 


1.  3ply  Cannot Move  eq: 1.048 
 Player: Opponent:  14.33% (G:4.87% B:0.40%) 85.67% (G:44.23% B:0.75%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
85.79% (G:41.40% B:0.73%) 
86.00% (G:41.19% B:0.74%) 
Opponent Winning Chances: 
14.21% (G:3.30% B:0.24%) 
14.00% (G:4.06% B:0.31%) 
Cubeless Equities 
+1.060 
+1.807 
Cubeful Equities 
No double:  +1.066  
Double/Take:  +1.528 (+0.462)  
Double/Pass:  +1.000 (0.066) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 12.5% 


63: 13/4 


1.  XG Roller++  20/14 13/10  eq: +0.612 
 Player: Opponent:  72.99% (G:34.21% B:0.65%) 27.01% (G:12.30% B:1.31%)  

2.  XG Roller++  13/4  eq: +0.572 (0.040) 
 Player: Opponent:  71.87% (G:31.90% B:0.54%) 28.13% (G:5.82% B:0.20%)  

3.  XG Roller+  20/17 20/14  eq: +0.593 (0.019) 
 Player: Opponent:  73.03% (G:34.75% B:0.67%) 26.97% (G:14.49% B:1.25%)  

4.  3ply  20/17 13/7  eq: +0.561 (0.051) 
 Player: Opponent:  71.57% (G:33.34% B:0.56%) 28.43% (G:12.85% B:1.10%)  

5.  3ply  20/11  eq: +0.545 (0.066) 
 Player: Opponent:  70.74% (G:34.34% B:0.65%) 29.26% (G:13.56% B:1.32%)  



43: Cannot Move 


1.  3ply  Cannot Move  eq: 1.064 
 Player: Opponent:  13.42% (G:3.33% B:0.18%) 86.58% (G:41.77% B:0.58%)  



No double 


Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
87.23% (G:42.29% B:0.75%) 
87.50% (G:40.60% B:0.69%) 
Opponent Winning Chances: 
12.77% (G:3.33% B:0.14%) 
12.50% (G:3.67% B:0.17%) 
Cubeless Equities 
+1.097 
+1.869 
Cubeful Equities 
No double:  +1.092  
Double/Take:  +1.693 (+0.601)  
Double/Pass:  +1.000 (0.092) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 13.3% 


65: 20/15 20/14 


1.  3ply  20/15 20/14  eq: +0.695 
 Player: Opponent:  75.49% (G:33.97% B:0.55%) 24.51% (G:9.21% B:0.50%)  

2.  3ply  20/9  eq: +0.615 (0.079) 
 Player: Opponent:  72.68% (G:29.78% B:0.41%) 27.32% (G:7.88% B:0.36%)  

3.  1ply  20/14 6/1  eq: 0.695 (1.390) 
 Player: Opponent:  45.25% (G:13.39% B:0.21%) 54.75% (G:25.24% B:2.30%)  



11: Cannot Move 


1.  3ply  Cannot Move  eq: 1.266 
 Player: Opponent:  7.36% (G:0.80% B:0.05%) 92.64% (G:44.78% B:0.71%)  



31: 15/12 3/2 


1.  3ply  15/12 3/2  eq: +1.410 
 Player: Opponent:  96.64% (G:51.04% B:0.88%) 3.36% (G:0.02% B:0.00%)  

2.  3ply  4/1 3/2  eq: +1.367 (0.043) 
 Player: Opponent:  95.94% (G:47.53% B:0.70%) 4.06% (G:0.03% B:0.00%)  

3.  3ply  14/11 3/2  eq: +1.363 (0.046) 
 Player: Opponent:  96.39% (G:46.60% B:0.72%) 3.61% (G:0.01% B:0.00%)  

4.  1ply  14/11 2/1  eq: +1.059 (0.351) 
 Player: Opponent:  87.40% (G:25.19% B:0.28%) 12.60% (G:0.73% B:0.01%)  

5.  1ply  15/12 2/1  eq: +1.040 (0.369) 
 Player: Opponent:  85.37% (G:27.97% B:0.39%) 14.63% (G:1.41% B:0.03%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 1.410 
 Player: Opponent:  3.36% (G:0.02% B:0.00%) 96.64% (G:51.04% B:0.88%)  



21: 4/1 


1.  XG Roller++  14/11  eq: +1.379 
 Player: Opponent:  96.54% (G:48.23% B:0.87%) 3.46% (G:0.00% B:0.00%)  

2.  XG Roller++  4/1  eq: +1.376 (0.003) 
 Player: Opponent:  96.24% (G:48.36% B:0.78%) 3.76% (G:0.00% B:0.00%)  

3.  XG Roller+  12/10 4/3  eq: +1.375 (0.004) 
 Player: Opponent:  96.26% (G:48.08% B:0.86%) 3.74% (G:0.00% B:0.00%)  

4.  XG Roller+  14/13 4/2  eq: +1.374 (0.005) 
 Player: Opponent:  96.30% (G:47.91% B:0.80%) 3.70% (G:0.00% B:0.00%)  

5.  XG Roller+  12/9  eq: +1.372 (0.007) 
 Player: Opponent:  96.12% (G:48.31% B:0.90%) 3.88% (G:0.00% B:0.00%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 1.374 
 Player: Opponent:  3.95% (G:0.02% B:0.00%) 96.05% (G:48.14% B:0.73%)  



51: 14/8* 


1.  3ply  14/8*  eq: +1.390 
 Player: Opponent:  95.71% (G:50.62% B:0.84%) 4.29% (G:0.01% B:0.00%)  

2.  3ply  14/9 12/11  eq: +1.315 (0.075) 
 Player: Opponent:  96.12% (G:41.10% B:0.56%) 3.88% (G:0.01% B:0.00%)  

3.  3ply  12/6  eq: +1.314 (0.076) 
 Player: Opponent:  95.82% (G:41.60% B:0.58%) 4.18% (G:0.01% B:0.00%)  

4.  3ply  14/13 12/7  eq: +1.278 (0.112) 
 Player: Opponent:  95.57% (G:38.21% B:0.47%) 4.43% (G:0.01% B:0.00%)  

5.  1ply  6/5 6/1  eq: +1.036 (0.354) 
 Player: Opponent:  86.47% (G:24.09% B:0.16%) 13.53% (G:0.99% B:0.02%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 1.390 
 Player: Opponent:  4.29% (G:0.01% B:0.00%) 95.71% (G:50.62% B:0.84%)  



54: 12/7 8/4 


1.  XG Roller+  12/7 8/4  eq: +1.371 
 Player: Opponent:  95.38% (G:50.07% B:0.86%) 4.62% (G:0.00% B:0.00%)  

2.  XG Roller+  12/3  eq: +1.352 (0.019) 
 Player: Opponent:  94.78% (G:49.62% B:0.89%) 5.22% (G:0.00% B:0.00%)  

3.  2ply  6/2 6/1  eq: +1.181 (0.190) 
 Player: Opponent:  92.90% (G:33.12% B:0.27%) 7.11% (G:0.24% B:0.01%)  

4.  2ply  12/8 6/1  eq: +1.045 (0.327) 
 Player: Opponent:  86.13% (G:34.02% B:0.39%) 13.87% (G:0.61% B:0.03%)  

5.  2ply  12/7 6/2  eq: +1.034 (0.337) 
 Player: Opponent:  86.21% (G:36.66% B:0.44%) 13.79% (G:2.18% B:0.08%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 1.389 
 Player: Opponent:  4.03% (G:0.00% B:0.00%) 95.97% (G:50.41% B:0.80%)  



55: 7/2 6/1(2) 5/Off 


1.  XG Roller++  7/2 6/1 5/Off(2)  eq: +1.068 
 Player: Opponent:  85.99% (G:40.62% B:0.57%) 14.01% (G:0.00% B:0.00%)  

2.  XG Roller++  7/2 6/1(2) 5/Off  eq: +0.973 (0.096) 
 Player: Opponent:  84.79% (G:33.27% B:0.24%) 15.21% (G:0.00% B:0.00%)  



43: Cannot Move 


1.  3ply  Cannot Move  eq: 1.440 
 Player: Opponent:  2.43% (G:0.00% B:0.00%) 97.57% (G:53.21% B:0.51%)  



64: 5/Off 4/Off 


1.  XG Roller++  5/Off 4/Off  eq: +1.511 
 Player: Opponent:  98.86% (G:58.80% B:0.67%) 1.14% (G:0.00% B:0.00%)  

2.  3ply  5/1 4/Off  eq: +1.407 (0.105) 
 Player: Opponent:  98.81% (G:47.39% B:0.25%) 1.19% (G:0.00% B:0.00%)  



21: Cannot Move 


1.  3ply  Cannot Move  eq: 1.621 
 Player: Opponent:  1.85% (G:0.00% B:0.00%) 98.15% (G:72.22% B:1.10%)  



52: 4/2 4/Off 


1.  3ply  4/2 4/Off  eq: +1.618 
 Player: Opponent:  99.63% (G:69.18% B:0.64%) 0.37% (G:0.00% B:0.00%)  

2.  1ply  4/Off 2/Off  eq: +1.194 (0.423) 
 Player: Opponent:  83.10% (G:53.94% B:1.33%) 16.90% (G:0.00% B:0.00%)  

3.  1ply  4/Off 3/1  eq: +0.622 (0.996) 
 Player: Opponent:  65.47% (G:33.78% B:0.30%) 34.53% (G:0.00% B:0.00%)  



11: Cannot Move 


1.  3ply  Cannot Move  eq: 1.786 
 Player: Opponent:  0.42% (G:0.00% B:0.00%) 99.58% (G:86.64% B:2.17%)  



21: 3/2 3/1 


1.  XG Roller++  2/Off 1/Off  eq: +1.758 
 Player: Opponent:  98.91% (G:83.73% B:2.31%) 1.09% (G:0.00% B:0.00%)  

2.  XG Roller++  3/2 3/1  eq: +1.541 (0.217) 
 Player: Opponent:  98.87% (G:62.53% B:0.26%) 1.13% (G:0.00% B:0.00%)  

3.  XG Roller+  2/1 2/Off  eq: +1.730 (0.028) 
 Player: Opponent:  99.77% (G:80.50% B:1.56%) 0.23% (G:0.00% B:0.00%)  

4.  1ply  3/Off  eq: +1.276 (0.482) 
 Player: Opponent:  85.52% (G:59.28% B:0.88%) 14.48% (G:0.00% B:0.00%)  

5.  1ply  3/1 2/1  eq: +1.178 (0.580) 
 Player: Opponent:  83.86% (G:50.24% B:0.36%) 16.14% (G:0.00% B:0.00%)  



63: Bar/22 Bar/19 


1.  3ply  Bar/22 Bar/19  eq: 1.525 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:58.73% B:0.01%)  



42: 2/Off(2) 


1.  3ply  2/Off(2)  eq: +1.493 
 Player: Opponent:  100.00% (G:55.05% B:0.00%) 0.00% (G:0.00% B:0.00%)  



21: 7/6 7/5 


1.  XG Roller+  22/20 7/6  eq: 1.641 (+0.004) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:71.69% B:0.00%)  

2.  XG Roller+  7/6 7/5  eq: 1.646 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:72.13% B:0.06%)  

3.  XG Roller+  19/17 7/6  eq: 1.646 (0.000) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:72.21% B:0.01%)  

4.  XG Roller+  22/21 7/5  eq: 1.665 (0.019) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:74.31% B:0.00%)  

5.  XG Roller+  19/18 7/5  eq: 1.668 (0.023) 
 Player: Opponent:  0.01% (G:0.00% B:0.00%) 99.99% (G:74.66% B:0.06%)  



65: 2/Off(2) 


1.  3ply  2/Off(2)  eq: +1.614 
 Player: Opponent:  100.00% (G:68.60% B:0.05%) 0.00% (G:0.00% B:0.00%)  



62: 22/16 19/17 


1.  XG Roller++  19/11  eq: 1.634 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:70.72% B:0.15%)  

2.  XG Roller++  22/16 19/17  eq: 1.637 (0.003) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:71.19% B:0.00%)  

3.  XG Roller+  22/14  eq: 1.640 (0.006) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:71.50% B:0.00%)  

4.  XG Roller+  22/20 19/13  eq: 1.640 (0.006) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:71.57% B:0.00%)  

5.  3ply  22/16 3/1  eq: 1.688 (0.054) 
 Player: Opponent:  0.02% (G:0.00% B:0.00%) 99.98% (G:76.94% B:0.00%)  



53: 2/Off 1/Off 


1.  3ply  2/Off 1/Off  eq: +1.604 
 Player: Opponent:  100.00% (G:67.49% B:0.00%) 0.00% (G:0.00% B:0.00%)  



21: 17/14 


1.  XG Roller+  17/14  eq: 1.801 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:89.47% B:0.00%)  

2.  XG Roller+  16/14 2/1  eq: 1.802 (0.002) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:89.66% B:0.00%)  

3.  XG Roller+  16/13  eq: 1.803 (0.003) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:89.77% B:0.00%)  

4.  XG Roller+  16/14 6/5  eq: 1.807 (0.006) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:90.15% B:0.00%)  

5.  XG Roller+  16/14 3/2  eq: 1.807 (0.006) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:90.16% B:0.00%)  



51: 1/Off(2) 


1.  3ply  1/Off(2)  eq: +1.783 
 Player: Opponent:  100.00% (G:87.54% B:0.00%) 0.00% (G:0.00% B:0.00%)  



52: 16/9 


1.  XG Roller+  16/9  eq: 1.833 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:93.06% B:0.00%)  

2.  XG Roller+  14/9 6/4  eq: 1.853 (0.021) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:95.37% B:0.00%)  

3.  XG Roller+  16/11 14/12  eq: 1.853 (0.021) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:95.37% B:0.00%)  

4.  XG Roller+  16/11 6/4  eq: 1.853 (0.021) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:95.37% B:0.00%)  

5.  XG Roller+  14/7  eq: 1.853 (0.021) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:95.37% B:0.00%)  



51: 1/Off(2) 


1.  3ply  1/Off(2)  eq: +1.820 
 Player: Opponent:  100.00% (G:91.67% B:0.00%) 0.00% (G:0.00% B:0.00%)  



54: ???? 


1.  XG Roller+  6/2 6/1  eq: 1.895 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:0.00%)  

2.  XG Roller+  6/1 5/1  eq: 1.895 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:0.00%)  

3.  XG Roller+  9/4 5/1  eq: 1.895 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:0.00%)  

4.  XG Roller+  14/5  eq: 1.895 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:0.00%)  

5.  XG Roller+  14/9 6/2  eq: 1.895 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:100.00% B:0.00%)  



Resigns a Gammon 2pts. 



