54: 13/9 13/8 


1.  Book^{1}  13/9 13/8  eq: +0.115 
 Player: Opponent:  49.80% (G:14.62% B:0.68%) 50.20% (G:13.17% B:0.62%)  

2.  Book^{1}  24/20 13/8  eq: +0.113 (0.001) 
 Player: Opponent:  50.35% (G:13.18% B:0.61%) 49.65% (G:12.73% B:0.47%)  

3.  Book^{1}  24/15  eq: +0.085 (0.029) 
 Player: Opponent:  50.27% (G:11.55% B:0.46%) 49.73% (G:12.77% B:0.46%)  

4.  Book^{1}  13/4  eq: +0.045 (0.069) 
 Player: Opponent:  48.49% (G:13.50% B:0.60%) 51.51% (G:14.09% B:0.75%)  

5.  3ply  13/9 8/3  eq: +0.003 (0.111) 
 Player: Opponent:  46.63% (G:13.39% B:0.72%) 53.37% (G:15.73% B:1.03%)  


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



43: 24/21 13/9 


1.  XG Roller++  13/10 13/9  eq: 0.320 
 Player: Opponent:  46.24% (G:13.42% B:0.65%) 53.76% (G:16.52% B:1.03%)  

2.  XG Roller++  24/21 13/9  eq: 0.327 (0.006) 
 Player: Opponent:  46.37% (G:11.83% B:0.54%) 53.63% (G:16.89% B:0.76%)  

3.  XG Roller++  24/20 13/10  eq: 0.340 (0.020) 
 Player: Opponent:  46.01% (G:11.82% B:0.58%) 53.99% (G:16.72% B:0.74%)  

4.  4ply  13/9 8/5  eq: 0.351 (0.031) 
 Player: Opponent:  45.69% (G:12.60% B:0.59%) 54.31% (G:17.40% B:1.28%)  

5.  3ply  24/21 24/20  eq: 0.383 (0.062) 
 Player: Opponent:  44.87% (G:10.28% B:0.50%) 55.13% (G:16.98% B:0.59%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.78% (G:16.62% B:0.76%) 
53.79% (G:16.62% B:0.76%) 
Opponent Winning Chances: 
46.22% (G:11.60% B:0.55%) 
46.21% (G:11.61% B:0.55%) 
Cubeless Equities 
+0.149 
+0.384 
Cubeful Equities 
No double:  +0.321  
Double/Take:  +0.209 (0.112)  
Double/Pass:  +1.000 (+0.679) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.4% 


62: 24/16* 


1.  3ply  24/16*  eq: +0.322 
 Player: Opponent:  54.35% (G:15.37% B:0.75%) 45.65% (G:11.71% B:0.55%)  

2.  2ply  13/7 9/7  eq: +0.111 (0.211) 
 Player: Opponent:  49.49% (G:13.14% B:0.50%) 50.51% (G:13.23% B:0.63%)  

3.  2ply  24/18 6/4*  eq: +0.012 (0.310) 
 Player: Opponent:  47.58% (G:12.67% B:0.70%) 52.42% (G:17.08% B:1.12%)  

4.  2ply  13/7 6/4*  eq: 0.010 (0.332) 
 Player: Opponent:  46.85% (G:13.24% B:0.67%) 53.15% (G:17.59% B:1.51%)  

5.  2ply  9/3 6/4*  eq: 0.014 (0.336) 
 Player: Opponent:  46.44% (G:13.23% B:0.64%) 53.56% (G:16.68% B:1.24%)  



53: Bar/22 21/16* 


1.  3ply  Bar/22 21/16*  eq: 0.138 
 Player: Opponent:  50.09% (G:12.80% B:0.60%) 49.91% (G:13.66% B:0.56%)  

2.  2ply  Bar/20 24/21  eq: 0.388 (0.251) 
 Player: Opponent:  42.24% (G:9.13% B:0.35%) 57.76% (G:12.45% B:0.36%)  

3.  1ply  Bar/22 6/1*  eq: 0.570 (0.432) 
 Player: Opponent:  40.15% (G:9.91% B:0.38%) 59.85% (G:18.58% B:1.18%)  

4.  1ply  Bar/22 13/8  eq: 0.604 (0.466) 
 Player: Opponent:  39.59% (G:9.52% B:0.38%) 60.41% (G:18.88% B:1.04%)  

5.  1ply  Bar/20 13/10  eq: 0.651 (0.513) 
 Player: Opponent:  39.53% (G:9.47% B:0.42%) 60.47% (G:20.48% B:1.38%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.12% (G:13.72% B:0.56%) 
50.12% (G:13.72% B:0.56%) 
Opponent Winning Chances: 
49.88% (G:12.72% B:0.59%) 
49.88% (G:12.72% B:0.59%) 
Cubeless Equities 
+0.031 
+0.134 
Cubeful Equities 
No double:  +0.144  
Double/Take:  0.046 (0.190)  
Double/Pass:  +1.000 (+0.856) 

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


61: Bar/18 


1.  XG Roller++  Bar/24 16/10  eq: +0.008 (+0.002) 
 Player: Opponent:  46.56% (G:12.48% B:0.45%) 53.44% (G:13.88% B:0.75%)  

2.  XG Roller++  Bar/18  eq: +0.006 
 Player: Opponent:  47.43% (G:12.06% B:0.53%) 52.57% (G:15.67% B:0.74%)  

3.  3ply  Bar/24 13/7  eq: 0.098 (0.104) 
 Player: Opponent:  44.34% (G:11.99% B:0.48%) 55.66% (G:16.26% B:1.17%)  

4.  3ply  Bar/24 8/2  eq: 0.117 (0.123) 
 Player: Opponent:  43.83% (G:12.12% B:0.50%) 56.17% (G:16.94% B:1.22%)  



21: 24/22 8/7* 


1.  4ply  24/22 8/7*  eq: 0.184 
 Player: Opponent:  48.45% (G:12.75% B:0.57%) 51.55% (G:13.54% B:0.55%)  

2.  4ply  22/20 8/7*  eq: 0.264 (0.080) 
 Player: Opponent:  47.14% (G:12.84% B:0.64%) 52.86% (G:15.60% B:0.94%)  

3.  4ply  24/22 6/5  eq: 0.267 (0.083) 
 Player: Opponent:  46.10% (G:10.64% B:0.36%) 53.90% (G:12.70% B:0.46%)  

4.  3ply  8/7* 7/5  eq: 0.279 (0.095) 
 Player: Opponent:  47.26% (G:12.61% B:0.61%) 52.74% (G:16.57% B:0.92%)  

5.  3ply  13/11 8/7*  eq: 0.290 (0.106) 
 Player: Opponent:  47.14% (G:12.79% B:0.72%) 52.86% (G:17.34% B:1.21%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.55% (G:13.54% B:0.55%) 
51.54% (G:13.54% B:0.55%) 
Opponent Winning Chances: 
48.45% (G:12.75% B:0.57%) 
48.46% (G:12.74% B:0.57%) 
Cubeless Equities 
+0.058 
+0.186 
Cubeful Equities 
No double:  +0.184  
Double/Take:  +0.018 (0.167)  
Double/Pass:  +1.000 (+0.816) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.5% 


52: Bar/18* 


1.  3ply  Bar/18*  eq: +0.321 
 Player: Opponent:  54.85% (G:15.10% B:0.64%) 45.15% (G:11.59% B:0.50%)  

2.  2ply  Bar/23 16/11  eq: 0.010 (0.332) 
 Player: Opponent:  46.90% (G:11.45% B:0.42%) 53.10% (G:14.94% B:0.70%)  

3.  2ply  Bar/20 24/22  eq: 0.031 (0.352) 
 Player: Opponent:  46.69% (G:10.85% B:0.41%) 53.31% (G:15.36% B:0.73%)  

4.  1ply  Bar/20 16/14  eq: 0.063 (0.385) 
 Player: Opponent:  45.62% (G:11.00% B:0.41%) 54.38% (G:15.61% B:0.79%)  

5.  1ply  Bar/20 6/4  eq: 0.076 (0.397) 
 Player: Opponent:  45.67% (G:11.43% B:0.45%) 54.33% (G:17.61% B:1.09%)  



63: Bar/22 13/7* 


1.  XG Roller++  Bar/16  eq: 0.325 
 Player: Opponent:  44.54% (G:10.21% B:0.32%) 55.46% (G:12.51% B:0.43%)  

2.  XG Roller++  Bar/22 13/7*  eq: 0.330 (0.005) 
 Player: Opponent:  45.47% (G:12.06% B:0.51%) 54.53% (G:15.52% B:0.64%)  

3.  2ply  Bar/22 16/10  eq: 0.453 (0.128) 
 Player: Opponent:  41.67% (G:9.67% B:0.32%) 58.33% (G:15.76% B:0.56%)  

4.  1ply  Bar/22 8/2  eq: 0.792 (0.467) 
 Player: Opponent:  37.06% (G:8.26% B:0.37%) 62.94% (G:21.30% B:1.03%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
54.42% (G:15.59% B:0.65%) 
54.38% (G:15.54% B:0.65%) 
Opponent Winning Chances: 
45.58% (G:11.88% B:0.49%) 
45.62% (G:11.73% B:0.49%) 
Cubeless Equities 
+0.148 
+0.376 
Cubeful Equities 
No double:  +0.316  
Double/Take:  +0.209 (0.106)  
Double/Pass:  +1.000 (+0.684) 

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


61: Bar/18* 


1.  3ply  Bar/18*  eq: +0.433 
 Player: Opponent:  57.15% (G:17.00% B:0.71%) 42.85% (G:10.49% B:0.41%)  

2.  2ply  Bar/24 16/10  eq: +0.089 (0.345) 
 Player: Opponent:  48.93% (G:13.34% B:0.49%) 51.07% (G:14.04% B:0.74%)  

3.  1ply  Bar/24 13/7  eq: +0.009 (0.425) 
 Player: Opponent:  47.08% (G:12.94% B:0.53%) 52.92% (G:15.85% B:1.00%)  

4.  1ply  Bar/24 8/2  eq: +0.003 (0.431) 
 Player: Opponent:  46.92% (G:12.95% B:0.55%) 53.08% (G:16.02% B:0.98%)  



32: Bar/20 


1.  XG Roller++  Bar/23 16/13  eq: 0.546 
 Player: Opponent:  41.07% (G:9.70% B:0.36%) 58.93% (G:17.91% B:0.73%)  

2.  XG Roller++  Bar/20  eq: 0.559 (0.012) 
 Player: Opponent:  40.98% (G:9.55% B:0.35%) 59.02% (G:18.31% B:0.75%)  

3.  XG Roller++  Bar/23 6/3  eq: 0.572 (0.026) 
 Player: Opponent:  41.77% (G:9.71% B:0.38%) 58.23% (G:20.80% B:1.03%)  

4.  4ply  Bar/22 6/4  eq: 0.616 (0.070) 
 Player: Opponent:  40.55% (G:9.23% B:0.32%) 59.45% (G:21.31% B:0.94%)  

5.  3ply  Bar/22 16/14  eq: 0.653 (0.107) 
 Player: Opponent:  39.65% (G:9.01% B:0.37%) 60.35% (G:21.18% B:0.80%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
59.36% (G:18.25% B:0.76%) 
59.32% (G:18.06% B:0.75%) 
Opponent Winning Chances: 
40.64% (G:9.44% B:0.37%) 
40.68% (G:9.32% B:0.35%) 
Cubeless Equities 
+0.301 
+0.696 
Cubeful Equities 
No double:  +0.577  
Double/Take:  +0.525 (0.053)  
Double/Pass:  +1.000 (+0.423) 

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


62: 13/5* 


1.  XG Roller++  24/16  eq: +0.460 
 Player: Opponent:  58.05% (G:14.75% B:0.48%) 41.95% (G:9.70% B:0.35%)  

2.  XG Roller++  13/5*  eq: +0.347 (0.113) 
 Player: Opponent:  54.31% (G:16.81% B:0.65%) 45.69% (G:12.40% B:0.67%)  

3.  4ply  24/18 6/4  eq: +0.404 (0.056) 
 Player: Opponent:  57.10% (G:14.37% B:0.43%) 42.90% (G:9.88% B:0.34%)  

4.  4ply  24/18 16/14  eq: +0.385 (0.075) 
 Player: Opponent:  56.44% (G:14.66% B:0.42%) 43.56% (G:9.78% B:0.34%)  

5.  3ply  18/16 13/7  eq: +0.384 (0.076) 
 Player: Opponent:  56.37% (G:15.40% B:0.56%) 43.63% (G:10.48% B:0.37%)  



31: Bar/24 16/13 


1.  XG Roller++  Bar/21  eq: 0.685 
 Player: Opponent:  39.02% (G:8.65% B:0.37%) 60.98% (G:21.08% B:0.89%)  

2.  XG Roller++  Bar/22 6/5  eq: 0.708 (0.023) 
 Player: Opponent:  39.25% (G:8.41% B:0.30%) 60.75% (G:22.33% B:0.95%)  

3.  XG Roller++  Bar/24 16/13  eq: 0.710 (0.025) 
 Player: Opponent:  38.98% (G:8.71% B:0.35%) 61.02% (G:21.08% B:0.95%)  

4.  XG Roller++  Bar/22 8/7*  eq: 0.720 (0.035) 
 Player: Opponent:  39.39% (G:9.19% B:0.39%) 60.61% (G:23.44% B:1.13%)  

5.  4ply  Bar/24 6/3  eq: 0.769 (0.085) 
 Player: Opponent:  39.38% (G:8.51% B:0.35%) 60.62% (G:25.16% B:1.54%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
61.16% (G:20.95% B:0.91%) 
61.13% (G:21.03% B:0.92%) 
Opponent Winning Chances: 
38.84% (G:8.58% B:0.34%) 
38.87% (G:8.62% B:0.34%) 
Cubeless Equities 
+0.376 
+0.863 
Cubeful Equities 
No double:  +0.711  
Double/Take:  +0.687 (0.024)  
Double/Pass:  +1.000 (+0.289) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.2% 


51: 18/13 6/5 


1.  XG Roller++  18/13 6/5  eq: +0.846 
 Player: Opponent:  63.51% (G:21.87% B:1.01%) 36.49% (G:7.27% B:0.27%)  

2.  XG Roller++  16/11 6/5  eq: +0.817 (0.029) 
 Player: Opponent:  62.43% (G:23.02% B:1.09%) 37.57% (G:7.83% B:0.32%)  

3.  2ply  6/5 6/1*  eq: +0.684 (0.162) 
 Player: Opponent:  60.64% (G:21.66% B:0.77%) 39.36% (G:9.72% B:0.49%)  

4.  2ply  13/8 6/5  eq: +0.457 (0.389) 
 Player: Opponent:  55.97% (G:20.07% B:0.86%) 44.03% (G:11.91% B:0.65%)  

5.  1ply  24/18  eq: +0.416 (0.429) 
 Player: Opponent:  57.15% (G:16.24% B:0.75%) 42.85% (G:10.83% B:0.56%)  



61: 13/7 8/7 


1.  XG Roller++  22/16 6/5  eq: 0.900 
 Player: Opponent:  36.94% (G:6.73% B:0.24%) 63.06% (G:25.11% B:1.43%)  

2.  XG Roller++  13/7 8/7  eq: 1.000 (0.100) 
 Player: Opponent:  33.73% (G:6.28% B:0.21%) 66.27% (G:23.27% B:1.06%)  

3.  3ply  13/7 6/5  eq: 1.000 (0.100) 
 Player: Opponent:  36.33% (G:6.57% B:0.26%) 63.67% (G:28.42% B:1.55%)  

4.  3ply  24/23 22/16  eq: 1.000 (0.100) 
 Player: Opponent:  33.65% (G:6.20% B:0.22%) 66.35% (G:23.39% B:0.99%)  

5.  3ply  22/15  eq: 1.000 (0.100) 
 Player: Opponent:  34.17% (G:6.12% B:0.22%) 65.83% (G:24.76% B:1.31%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
66.48% (G:22.86% B:1.02%) 
66.60% (G:22.95% B:1.08%) 
Opponent Winning Chances: 
33.52% (G:6.03% B:0.20%) 
33.40% (G:5.94% B:0.20%) 
Cubeless Equities 
+0.530 
+1.198 
Cubeful Equities 
No double:  +0.942 (0.058)  
Double/Take:  +1.022 (+0.022)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


41: 16/11 


1.  4ply  16/11  eq: +0.861 
 Player: Opponent:  64.06% (G:21.77% B:0.93%) 35.94% (G:7.16% B:0.25%)  

2.  4ply  24/20 16/15  eq: +0.812 (0.049) 
 Player: Opponent:  63.00% (G:21.83% B:1.06%) 37.00% (G:8.11% B:0.30%)  

3.  4ply  24/20 6/5  eq: +0.812 (0.050) 
 Player: Opponent:  63.07% (G:21.93% B:1.09%) 36.93% (G:8.32% B:0.29%)  

4.  3ply  6/1*  eq: +0.757 (0.104) 
 Player: Opponent:  62.21% (G:22.10% B:0.87%) 37.79% (G:8.81% B:0.36%)  

5.  3ply  13/8  eq: +0.740 (0.121) 
 Player: Opponent:  61.43% (G:22.16% B:1.05%) 38.57% (G:8.54% B:0.31%)  



22: 13/9 6/4(2) 


1.  XG Roller++  7/5(2) 6/4(2)  eq: 0.607 
 Player: Opponent:  40.33% (G:9.34% B:0.33%) 59.67% (G:18.75% B:0.78%)  

2.  XG Roller++  13/9 6/4(2)  eq: 0.739 (0.132) 
 Player: Opponent:  39.28% (G:8.48% B:0.34%) 60.72% (G:23.80% B:1.17%)  

3.  2ply  24/22 13/11 6/4(2)  eq: 0.742 (0.135) 
 Player: Opponent:  37.97% (G:8.01% B:0.23%) 62.03% (G:21.17% B:0.76%)  

4.  2ply  13/11 8/4 6/4  eq: 0.761 (0.154) 
 Player: Opponent:  37.43% (G:8.49% B:0.26%) 62.57% (G:20.97% B:0.89%)  

5.  2ply  13/11(2) 6/4(2)  eq: 0.778 (0.171) 
 Player: Opponent:  39.07% (G:8.74% B:0.35%) 60.93% (G:24.99% B:1.29%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
60.98% (G:23.73% B:1.16%) 
61.04% (G:24.07% B:1.18%) 
Opponent Winning Chances: 
39.02% (G:8.34% B:0.33%) 
38.96% (G:8.43% B:0.34%) 
Cubeless Equities 
+0.408 
+0.946 
Cubeful Equities 
No double:  +0.741 (0.017)  
Double/Take:  +0.758  
Double/Pass:  +1.000 (+0.242) 

Best Cube action: Double / Take 


33: 13/7(2) 


1.  3ply  13/7(2)  eq: +0.547 
 Player: Opponent:  57.16% (G:21.39% B:1.17%) 42.84% (G:9.39% B:0.38%)  

2.  3ply  8/2(2)  eq: +0.464 (0.083) 
 Player: Opponent:  55.02% (G:22.43% B:1.08%) 44.98% (G:10.37% B:0.42%)  

3.  2ply  13/10(3) 8/5  eq: +0.435 (0.112) 
 Player: Opponent:  54.82% (G:20.40% B:1.03%) 45.18% (G:9.45% B:0.31%)  

4.  2ply  13/1*  eq: +0.424 (0.123) 
 Player: Opponent:  54.45% (G:21.93% B:0.91%) 45.55% (G:11.38% B:0.58%)  

5.  2ply  13/10(3) 11/8  eq: +0.385 (0.162) 
 Player: Opponent:  54.45% (G:18.64% B:0.75%) 45.55% (G:9.12% B:0.25%)  



21: 24/22 13/12* 


1.  XG Roller++  13/12* 12/10  eq: 0.556 
 Player: Opponent:  43.10% (G:10.95% B:0.50%) 56.90% (G:24.41% B:1.67%)  

2.  XG Roller++  24/22 13/12*  eq: 0.560 (0.003) 
 Player: Opponent:  42.18% (G:9.90% B:0.40%) 57.82% (G:22.43% B:1.12%)  

3.  XG Roller++  13/12* 9/7  eq: 0.599 (0.043) 
 Player: Opponent:  41.42% (G:10.20% B:0.45%) 58.58% (G:22.26% B:1.25%)  

4.  4ply  13/11 13/12*  eq: 0.645 (0.088) 
 Player: Opponent:  42.04% (G:10.66% B:0.46%) 57.96% (G:25.74% B:1.85%)  

5.  3ply  13/12* 8/6  eq: 0.718 (0.162) 
 Player: Opponent:  39.39% (G:9.89% B:0.39%) 60.61% (G:23.46% B:1.38%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
57.83% (G:22.42% B:1.16%) 
57.63% (G:22.32% B:1.20%) 
Opponent Winning Chances: 
42.17% (G:9.82% B:0.39%) 
42.37% (G:9.93% B:0.40%) 
Cubeless Equities 
+0.316 
+0.732 
Cubeful Equities 
No double:  +0.557  
Double/Take:  +0.545 (0.013)  
Double/Pass:  +1.000 (+0.443) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 2.8% 


42: Bar/23 24/20 


1.  3ply  Bar/23 24/20  eq: +0.525 
 Player: Opponent:  57.33% (G:20.31% B:1.02%) 42.67% (G:10.60% B:0.38%)  

2.  3ply  Bar/23 8/4  eq: +0.375 (0.149) 
 Player: Opponent:  54.59% (G:18.88% B:1.00%) 45.41% (G:12.48% B:0.66%)  

3.  2ply  Bar/23 11/7  eq: +0.362 (0.162) 
 Player: Opponent:  54.25% (G:17.93% B:0.67%) 45.75% (G:10.68% B:0.37%)  

4.  2ply  Bar/23 6/2  eq: +0.280 (0.245) 
 Player: Opponent:  52.01% (G:18.31% B:0.79%) 47.99% (G:12.42% B:0.56%)  

5.  1ply  Bar/23 5/1  eq: 0.170 (0.694) 
 Player: Opponent:  41.88% (G:13.62% B:0.63%) 58.12% (G:18.86% B:1.27%)  



54: 13/8 9/5* 


1.  3ply  13/8 9/5*  eq: 0.636 
 Player: Opponent:  40.63% (G:9.36% B:0.34%) 59.37% (G:22.64% B:0.85%)  

2.  2ply  12/8 9/4  eq: 1.000 (0.364) 
 Player: Opponent:  31.24% (G:5.96% B:0.22%) 68.76% (G:20.12% B:0.68%)  

3.  2ply  13/8 12/8  eq: 1.000 (0.364) 
 Player: Opponent:  31.47% (G:5.79% B:0.19%) 68.53% (G:22.24% B:0.69%)  

4.  2ply  9/5* 7/2*  eq: 1.000 (0.364) 
 Player: Opponent:  34.27% (G:8.96% B:0.34%) 65.73% (G:32.36% B:2.35%)  

5.  2ply  12/7 9/5*  eq: 1.000 (0.364) 
 Player: Opponent:  33.16% (G:7.37% B:0.21%) 66.84% (G:30.82% B:1.52%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.98% (G:22.51% B:0.90%) 
58.95% (G:22.39% B:0.94%) 
Opponent Winning Chances: 
41.02% (G:9.49% B:0.35%) 
41.05% (G:9.69% B:0.37%) 
Cubeless Equities 
+0.341 
+0.785 
Cubeful Equities 
No double:  +0.585 (0.021)  
Double/Take:  +0.606  
Double/Pass:  +1.000 (+0.394) 

Best Cube action: Double / Take 


22: Bar/23 8/4 6/4 


1.  4ply  Bar/23 8/4 6/4  eq: +0.365 
 Player: Opponent:  54.40% (G:17.67% B:0.60%) 45.60% (G:10.62% B:0.28%)  

2.  4ply  Bar/23 11/9 6/4(2)  eq: +0.301 (0.064) 
 Player: Opponent:  52.82% (G:16.73% B:0.57%) 47.18% (G:11.64% B:0.34%)  

3.  1ply  Bar/23 11/7 6/4  eq: +0.153 (0.211) 
 Player: Opponent:  49.01% (G:16.30% B:0.62%) 50.99% (G:12.55% B:0.26%)  

4.  1ply  Bar/23 11/5  eq: +0.075 (0.290) 
 Player: Opponent:  47.06% (G:15.22% B:0.53%) 52.94% (G:12.87% B:0.16%)  

5.  1ply  Bar/23 11/9 8/4  eq: +0.064 (0.301) 
 Player: Opponent:  46.80% (G:16.27% B:0.69%) 53.20% (G:14.91% B:0.47%)  



53: 8/5 8/3 


1.  XG Roller++  8/5 8/3  eq: 1.000 
 Player: Opponent:  32.50% (G:6.98% B:0.22%) 67.50% (G:25.29% B:0.97%)  

2.  XG Roller++  12/7 8/5  eq: 1.000 
 Player: Opponent:  31.42% (G:6.86% B:0.22%) 68.58% (G:24.08% B:0.78%)  

3.  XG Roller++  12/4  eq: 1.000 
 Player: Opponent:  30.71% (G:6.28% B:0.20%) 69.29% (G:27.07% B:0.96%)  

4.  XG Roller++  8/5 6/1  eq: 1.000 
 Player: Opponent:  29.72% (G:6.48% B:0.18%) 70.28% (G:29.48% B:1.23%)  

5.  XG Roller++  12/7 6/3  eq: 1.000 
 Player: Opponent:  30.85% (G:5.94% B:0.20%) 69.15% (G:33.34% B:1.41%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
67.70% (G:25.72% B:0.96%) 
67.68% (G:25.70% B:0.98%) 
Opponent Winning Chances: 
32.30% (G:7.02% B:0.23%) 
32.32% (G:7.00% B:0.23%) 
Cubeless Equities 
+0.575 
+1.281 
Cubeful Equities 
No double:  +0.813 (0.187)  
Double/Take:  +1.133 (+0.133)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


53: 11/6 8/5 


1.  4ply  11/6 8/5  eq: +0.577 
 Player: Opponent:  60.13% (G:17.98% B:0.54%) 39.87% (G:9.54% B:0.23%)  

2.  4ply  8/5 6/1  eq: +0.523 (0.054) 
 Player: Opponent:  58.55% (G:18.73% B:0.55%) 41.45% (G:11.11% B:0.35%)  

3.  3ply  11/8 6/1  eq: +0.447 (0.130) 
 Player: Opponent:  57.25% (G:17.45% B:0.60%) 42.75% (G:10.85% B:0.27%)  

4.  1ply  7/4 7/2  eq: +0.136 (0.441) 
 Player: Opponent:  48.61% (G:16.56% B:0.77%) 51.39% (G:13.66% B:0.35%)  

5.  1ply  6/1 4/1  eq: +0.096 (0.481) 
 Player: Opponent:  47.81% (G:17.01% B:0.60%) 52.19% (G:15.77% B:0.49%)  



64: 22/12 


1.  3ply  22/12  eq: 0.266 
 Player: Opponent:  47.49% (G:11.81% B:0.34%) 52.51% (G:15.69% B:0.55%)  

2.  2ply  22/16 12/8  eq: 0.384 (0.117) 
 Player: Opponent:  45.63% (G:10.83% B:0.26%) 54.37% (G:24.25% B:1.46%)  

3.  2ply  22/16 7/3  eq: 0.410 (0.143) 
 Player: Opponent:  42.90% (G:10.60% B:0.25%) 57.10% (G:19.65% B:1.11%)  

4.  1ply  7/3 7/1  eq: 1.000 (0.734) 
 Player: Opponent:  28.89% (G:7.64% B:0.14%) 71.11% (G:20.27% B:0.62%)  

5.  1ply  12/6 7/3  eq: 1.000 (0.734) 
 Player: Opponent:  27.11% (G:6.94% B:0.12%) 72.89% (G:24.23% B:0.67%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
52.33% (G:15.62% B:0.60%) 
52.37% (G:15.55% B:0.60%) 
Opponent Winning Chances: 
47.67% (G:11.29% B:0.34%) 
47.63% (G:11.27% B:0.34%) 
Cubeless Equities 
+0.113 
+0.307 
Cubeful Equities 
No double:  +0.250  
Double/Take:  +0.115 (0.136)  
Double/Pass:  +1.000 (+0.750) 

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


43: 6/2 5/2 


1.  3ply  6/2 5/2  eq: 0.133 
 Player: Opponent:  43.44% (G:11.60% B:0.41%) 56.56% (G:13.72% B:0.36%)  

2.  2ply  8/5 8/4  eq: 0.377 (0.244) 
 Player: Opponent:  36.15% (G:9.38% B:0.27%) 63.85% (G:16.06% B:0.37%)  

3.  2ply  7/4 6/2  eq: 0.450 (0.317) 
 Player: Opponent:  34.06% (G:9.62% B:0.33%) 65.94% (G:18.02% B:0.61%)  

4.  2ply  5/1 4/1  eq: 0.475 (0.342) 
 Player: Opponent:  34.04% (G:9.01% B:0.22%) 65.96% (G:19.33% B:0.61%)  

5.  1ply  8/5 6/2  eq: 0.446 (0.313) 
 Player: Opponent:  34.22% (G:9.52% B:0.44%) 65.78% (G:17.30% B:0.55%)  



31: 12/11 6/3 


1.  3ply  12/11 6/3  eq: +0.309 
 Player: Opponent:  61.52% (G:15.25% B:0.41%) 38.48% (G:9.53% B:0.27%)  

2.  1ply  7/3  eq: 0.246 (0.555) 
 Player: Opponent:  47.29% (G:12.93% B:0.27%) 52.71% (G:15.25% B:0.50%)  

3.  1ply  12/11 12/9  eq: 0.261 (0.569) 
 Player: Opponent:  48.85% (G:13.29% B:0.27%) 51.15% (G:19.45% B:0.84%)  

4.  1ply  12/9 6/5  eq: 0.291 (0.599) 
 Player: Opponent:  48.25% (G:12.84% B:0.27%) 51.75% (G:19.95% B:0.89%)  

5.  1ply  4/3 4/1  eq: 0.355 (0.664) 
 Player: Opponent:  43.21% (G:10.04% B:0.18%) 56.79% (G:12.60% B:0.38%)  



41: 6/1 


1.  3ply  6/1  eq: 0.478 
 Player: Opponent:  34.68% (G:7.99% B:0.25%) 65.32% (G:16.61% B:0.49%)  

2.  3ply  8/7 8/4  eq: 0.654 (0.176) 
 Player: Opponent:  29.90% (G:6.67% B:0.22%) 70.10% (G:16.35% B:0.47%)  

3.  1ply  5/4 5/1  eq: 0.883 (0.405) 
 Player: Opponent:  26.04% (G:5.74% B:0.21%) 73.96% (G:19.93% B:0.53%)  

4.  1ply  8/4 6/5  eq: 0.933 (0.455) 
 Player: Opponent:  24.80% (G:5.83% B:0.26%) 75.20% (G:19.35% B:0.55%)  

5.  1ply  5/1 2/1  eq: 0.953 (0.475) 
 Player: Opponent:  25.35% (G:6.10% B:0.21%) 74.65% (G:21.95% B:0.81%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
65.00% (G:16.31% B:0.48%) 
64.99% (G:16.31% B:0.48%) 
Opponent Winning Chances: 
35.00% (G:7.77% B:0.18%) 
35.01% (G:7.76% B:0.18%) 
Cubeless Equities 
+0.371 
+0.710 
Cubeful Equities 
No double:  +0.468  
Double/Take:  +0.281 (0.187)  
Double/Pass:  +1.000 (+0.532) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 20.6% 


62: 22/14 


1.  4ply  22/14  eq: +0.762 
 Player: Opponent:  72.53% (G:17.99% B:0.61%) 27.47% (G:7.89% B:0.27%)  

2.  4ply  22/16 11/9  eq: +0.692 (0.070) 
 Player: Opponent:  70.26% (G:17.68% B:0.62%) 29.74% (G:7.03% B:0.23%)  

3.  3ply  22/16 12/10  eq: +0.640 (0.122) 
 Player: Opponent:  69.29% (G:17.60% B:0.56%) 30.71% (G:7.51% B:0.22%)  

4.  1ply  12/6 11/9  eq: +0.367 (0.395) 
 Player: Opponent:  62.56% (G:18.06% B:0.39%) 37.44% (G:8.85% B:0.21%)  

5.  1ply  12/10 11/5  eq: +0.356 (0.406) 
 Player: Opponent:  62.35% (G:17.15% B:0.41%) 37.65% (G:8.59% B:0.21%)  



42: 8/6 8/4 


1.  XG Roller++  8/6 8/4  eq: 1.000 
 Player: Opponent:  23.13% (G:5.05% B:0.12%) 76.87% (G:18.44% B:0.59%)  

2.  XG Roller++  7/1  eq: 1.000 
 Player: Opponent:  21.03% (G:5.19% B:0.12%) 78.97% (G:21.16% B:0.81%)  

3.  XG Roller++  6/4 6/2  eq: 1.000 
 Player: Opponent:  19.43% (G:3.09% B:0.07%) 80.57% (G:21.14% B:0.73%)  

4.  XG Roller++  8/2  eq: 1.008 (0.008) 
 Player: Opponent:  17.82% (G:3.39% B:0.09%) 82.18% (G:22.60% B:0.95%)  

5.  3ply  8/4 7/5  eq: 1.047 (0.047) 
 Player: Opponent:  16.21% (G:2.88% B:0.11%) 83.79% (G:24.54% B:0.99%)  



Double/Pass 


Analyzed in Rollout 
No double 
Double/Take 
Player Winning Chances: 
77.47% (G:19.06% B:0.68%) 
77.77% (G:19.88% B:0.82%) 
Opponent Winning Chances: 
22.53% (G:5.45% B:0.11%) 
22.23% (G:5.07% B:0.12%) 
Cubeless Equities 
+0.675 
+1.376 
Cubeful Equities 
No double:  +0.923 (0.077)  ±0.014 (+0.909..+0.938) 
Double/Take:  +1.175 (+0.175)  ±0.023 (+1.152..+1.198) 
Double/Pass:  +1.000 

Best Cube action: Double / Pass 
Rollout details 
288 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller


Double Decision confidence: 
100.0% 
Take Decision confidence: 
100.0% 
Duration: 1 minute 53 seconds 


Wins 1pt. 



