65: 24/13 


1.  Book^{1}  24/13  eq: +0.091 
 Player: Opponent:  52.81% (G:11.60% B:0.47%) 47.19% (G:11.73% B:0.35%)  

2.  Book^{1}  24/18 13/8  eq: +0.026 (0.065) 
 Player: Opponent:  50.87% (G:12.71% B:0.58%) 49.13% (G:12.76% B:0.44%)  

3.  Book^{1}  13/8 13/7  eq: 0.056 (0.147) 
 Player: Opponent:  48.28% (G:13.73% B:0.69%) 51.72% (G:13.93% B:0.70%)  

4.  4ply  13/2  eq: 0.136 (0.228) 
 Player: Opponent:  46.49% (G:13.03% B:0.65%) 53.51% (G:15.48% B:0.81%)  

5.  4ply  24/18 8/3  eq: 0.178 (0.269) 
 Player: Opponent:  46.29% (G:11.42% B:0.52%) 53.71% (G:16.64% B:0.75%)  


^{1} Generated by GameSite 2000, Ltd on 21May11 using eXtreme Gammon 2.00 Analyzed in XG Roller++



53: 8/3 6/3 


1.  XG Roller++  8/3 6/3  eq: 0.126 
 Player: Opponent:  45.90% (G:12.42% B:0.33%) 54.10% (G:12.20% B:0.55%)  

2.  XG Roller++  24/21 13/8  eq: 0.174 (0.048) 
 Player: Opponent:  45.00% (G:10.52% B:0.31%) 55.00% (G:11.59% B:0.44%)  

3.  XG Roller++  13/10 13/8  eq: 0.208 (0.081) 
 Player: Opponent:  44.18% (G:11.43% B:0.32%) 55.82% (G:12.93% B:0.64%)  

4.  XG Roller++  13/5  eq: 0.228 (0.102) 
 Player: Opponent:  43.81% (G:11.11% B:0.31%) 56.19% (G:13.28% B:0.70%)  

5.  XG Roller++  24/21 6/1*  eq: 0.240 (0.114) 
 Player: Opponent:  43.58% (G:10.54% B:0.25%) 56.42% (G:13.08% B:0.62%)  



54: 13/9 13/8 


1.  XG Roller++  13/9 13/8  eq: +0.050 
 Player: Opponent:  51.61% (G:13.30% B:0.68%) 48.39% (G:14.05% B:0.45%)  

2.  XG Roller++  24/15  eq: +0.020 (0.031) 
 Player: Opponent:  52.11% (G:8.62% B:0.32%) 47.89% (G:12.55% B:0.33%)  

3.  XG Roller++  24/20 13/8  eq: 0.031 (0.081) 
 Player: Opponent:  50.63% (G:11.10% B:0.58%) 49.37% (G:15.37% B:0.40%)  

4.  XG Roller++  13/4  eq: 0.129 (0.179) 
 Player: Opponent:  47.99% (G:11.59% B:0.61%) 52.01% (G:16.95% B:0.57%)  

5.  4ply  13/8 6/2  eq: 0.186 (0.236) 
 Player: Opponent:  46.66% (G:11.37% B:0.57%) 53.34% (G:18.32% B:0.63%)  



64: 24/14 


1.  XG Roller++  24/18 13/9  eq: 0.203 
 Player: Opponent:  45.03% (G:11.28% B:0.39%) 54.97% (G:14.95% B:0.59%)  

2.  XG Roller++  24/14  eq: 0.215 (0.012) 
 Player: Opponent:  44.73% (G:10.02% B:0.27%) 55.27% (G:14.16% B:0.43%)  

3.  XG Roller++  13/9 13/7  eq: 0.253 (0.050) 
 Player: Opponent:  43.28% (G:12.76% B:0.37%) 56.72% (G:15.08% B:1.00%)  

4.  XG Roller++  8/2 6/2  eq: 0.260 (0.058) 
 Player: Opponent:  42.74% (G:12.68% B:0.28%) 57.26% (G:14.65% B:0.82%)  

5.  XG Roller++  24/20 13/7  eq: 0.261 (0.058) 
 Player: Opponent:  43.26% (G:12.05% B:0.42%) 56.74% (G:15.22% B:0.75%)  



53: 8/3 6/3 


1.  4ply  8/3 6/3  eq: +0.098 
 Player: Opponent:  52.08% (G:13.18% B:0.36%) 47.92% (G:10.38% B:0.35%)  

2.  4ply  24/21 13/8  eq: 0.123 (0.221) 
 Player: Opponent:  47.61% (G:10.44% B:0.40%) 52.39% (G:14.58% B:0.44%)  

3.  4ply  13/8 9/6  eq: 0.134 (0.232) 
 Player: Opponent:  46.79% (G:10.05% B:0.25%) 53.21% (G:12.95% B:0.35%)  

4.  4ply  9/1*  eq: 0.164 (0.262) 
 Player: Opponent:  45.77% (G:10.33% B:0.21%) 54.23% (G:12.94% B:0.49%)  

5.  4ply  13/10 13/8  eq: 0.165 (0.263) 
 Player: Opponent:  45.38% (G:10.80% B:0.31%) 54.62% (G:12.61% B:0.48%)  



31: 8/5 6/5 


1.  XG Roller++  8/5 6/5  eq: 0.212 
 Player: Opponent:  45.24% (G:11.41% B:0.37%) 54.76% (G:16.26% B:0.60%)  

2.  XG Roller++  14/11 6/5  eq: 0.337 (0.125) 
 Player: Opponent:  42.58% (G:10.24% B:0.33%) 57.42% (G:18.87% B:0.84%)  

3.  XG Roller++  14/10  eq: 0.340 (0.128) 
 Player: Opponent:  41.75% (G:8.85% B:0.25%) 58.25% (G:15.34% B:0.41%)  

4.  4ply  24/23 14/11  eq: 0.366 (0.154) 
 Player: Opponent:  41.61% (G:8.15% B:0.23%) 58.39% (G:17.15% B:0.45%)  

5.  4ply  24/21 14/13  eq: 0.414 (0.202) 
 Player: Opponent:  41.06% (G:6.90% B:0.24%) 58.94% (G:18.38% B:0.33%)  



31: 8/5 6/5 


1.  XG Roller++  8/5 6/5  eq: +0.168 
 Player: Opponent:  53.72% (G:15.43% B:0.47%) 46.28% (G:11.20% B:0.36%)  

2.  XG Roller++  13/9  eq: +0.010 (0.158) 
 Player: Opponent:  50.36% (G:12.17% B:0.35%) 49.64% (G:12.48% B:0.32%)  

3.  3ply  13/10 9/8  eq: 0.159 (0.327) 
 Player: Opponent:  45.79% (G:11.39% B:0.39%) 54.21% (G:13.84% B:0.30%)  

4.  3ply  24/23 13/10  eq: 0.162 (0.330) 
 Player: Opponent:  45.96% (G:13.10% B:0.53%) 54.04% (G:16.25% B:0.52%)  

5.  3ply  24/23 9/6  eq: 0.198 (0.366) 
 Player: Opponent:  45.52% (G:10.47% B:0.33%) 54.48% (G:15.43% B:0.27%)  



32: 14/11 13/11 


1.  XG Roller++  14/11 13/11  eq: 0.292 
 Player: Opponent:  43.25% (G:10.03% B:0.30%) 56.75% (G:17.39% B:0.45%)  

2.  XG Roller++  13/8  eq: 0.388 (0.095) 
 Player: Opponent:  41.30% (G:9.37% B:0.30%) 58.70% (G:18.27% B:0.58%)  

3.  XG Roller++  14/11 8/6  eq: 0.401 (0.109) 
 Player: Opponent:  40.17% (G:9.32% B:0.24%) 59.83% (G:17.17% B:0.44%)  

4.  4ply  14/9  eq: 0.448 (0.155) 
 Player: Opponent:  39.06% (G:8.43% B:0.23%) 60.94% (G:17.79% B:0.57%)  

5.  4ply  13/11 8/5  eq: 0.473 (0.181) 
 Player: Opponent:  38.94% (G:9.51% B:0.27%) 61.06% (G:20.64% B:0.82%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
56.88% (G:17.44% B:0.45%) 
57.03% (G:17.78% B:0.46%) 
Opponent Winning Chances: 
43.12% (G:10.28% B:0.32%) 
42.97% (G:10.41% B:0.31%) 
Cubeless Equities 
+0.212 
+0.442 
Cubeful Equities 
No double:  +0.302  
Double/Take:  +0.113 (0.189)  
Double/Pass:  +1.000 (+0.698) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 17.6% 


41: 13/9 6/5 


1.  XG Roller++  24/23 13/9  eq: +0.139 
 Player: Opponent:  53.61% (G:14.61% B:0.46%) 46.39% (G:12.50% B:0.36%)  

2.  XG Roller++  13/9 6/5  eq: +0.110 (0.029) 
 Player: Opponent:  52.09% (G:14.85% B:0.41%) 47.91% (G:11.23% B:0.34%)  

3.  XG Roller++  24/23 9/5  eq: +0.103 (0.036) 
 Player: Opponent:  52.31% (G:14.75% B:0.40%) 47.69% (G:12.30% B:0.33%)  

4.  XG Roller++  13/8  eq: +0.011 (0.127) 
 Player: Opponent:  49.90% (G:13.92% B:0.39%) 50.10% (G:12.02% B:0.37%)  

5.  4ply  9/5 6/5  eq: 0.009 (0.148) 
 Player: Opponent:  49.22% (G:13.51% B:0.30%) 50.78% (G:12.16% B:0.33%)  



65: 24/13 


1.  3ply  24/13  eq: +0.180 
 Player: Opponent:  56.23% (G:5.48% B:0.12%) 43.77% (G:5.69% B:0.12%)  

2.  3ply  13/8 11/5  eq: 0.168 (0.348) 
 Player: Opponent:  45.43% (G:11.28% B:0.31%) 54.57% (G:13.43% B:0.34%)  

3.  3ply  24/18 13/8  eq: 0.226 (0.406) 
 Player: Opponent:  45.73% (G:8.56% B:0.36%) 54.27% (G:15.91% B:0.26%)  

4.  3ply  13/8 13/7  eq: 0.286 (0.466) 
 Player: Opponent:  43.36% (G:11.42% B:0.37%) 56.64% (G:17.80% B:0.60%)  

5.  3ply  11/5 8/3  eq: 0.330 (0.511) 
 Player: Opponent:  41.32% (G:10.67% B:0.27%) 58.68% (G:16.03% B:0.47%)  



53: 24/16 


1.  XG Roller++  24/21 13/8  eq: 0.234 
 Player: Opponent:  43.27% (G:7.25% B:0.15%) 56.73% (G:7.22% B:0.12%)  

2.  XG Roller++  24/21 9/4  eq: 0.236 (0.002) 
 Player: Opponent:  43.01% (G:9.92% B:0.24%) 56.99% (G:8.19% B:0.19%)  

3.  XG Roller++  24/21 8/3  eq: 0.283 (0.049) 
 Player: Opponent:  41.66% (G:8.54% B:0.18%) 58.34% (G:9.39% B:0.18%)  

4.  XG Roller++  24/16  eq: 0.462 (0.228) 
 Player: Opponent:  37.67% (G:2.66% B:0.06%) 62.33% (G:7.12% B:0.08%)  

5.  4ply  13/10 9/4  eq: 0.400 (0.166) 
 Player: Opponent:  37.42% (G:4.24% B:0.09%) 62.58% (G:5.80% B:0.18%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
62.34% (G:6.88% B:0.08%) 
62.60% (G:6.81% B:0.08%) 
Opponent Winning Chances: 
37.66% (G:2.57% B:0.06%) 
37.40% (G:2.40% B:0.05%) 
Cubeless Equities 
+0.291 
+0.602 
Cubeful Equities 
No double:  +0.466  
Double/Take:  +0.334 (0.133)  
Double/Pass:  +1.000 (+0.534) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.6% 


63: 13/4 


1.  XG Roller++  13/7 8/5  eq: 0.035 
 Player: Opponent:  48.43% (G:0.97% B:0.01%) 51.57% (G:0.53% B:0.02%)  

2.  XG Roller++  13/4  eq: 0.039 (0.003) 
 Player: Opponent:  48.42% (G:1.06% B:0.02%) 51.58% (G:0.66% B:0.02%)  

3.  XG Roller++  13/7 6/3  eq: 0.061 (0.026) 
 Player: Opponent:  47.63% (G:0.82% B:0.01%) 52.37% (G:0.61% B:0.01%)  

4.  XG Roller++  8/2 5/2  eq: 0.083 (0.048) 
 Player: Opponent:  46.89% (G:0.95% B:0.01%) 53.11% (G:0.63% B:0.01%)  

5.  XG Roller++  11/8 11/5  eq: 0.093 (0.057) 
 Player: Opponent:  46.81% (G:0.15% B:0.00%) 53.19% (G:0.08% B:0.00%)  



64: 16/6 


1.  XG Roller++  16/10 8/4  eq: +0.214 
 Player: Opponent:  57.08% (G:0.00% B:0.00%) 42.92% (G:0.00% B:0.00%)  

2.  XG Roller++  16/6  eq: +0.213 (0.001) 
 Player: Opponent:  57.04% (G:0.00% B:0.00%) 42.96% (G:0.00% B:0.00%)  

3.  XG Roller++  16/10 9/5  eq: +0.213 (0.002) 
 Player: Opponent:  57.02% (G:0.00% B:0.00%) 42.98% (G:0.00% B:0.00%)  

4.  XG Roller++  16/10 13/9  eq: +0.212 (0.002) 
 Player: Opponent:  57.02% (G:0.00% B:0.00%) 42.98% (G:0.00% B:0.00%)  

5.  XG Roller++  16/10 6/2  eq: +0.202 (0.013) 
 Player: Opponent:  56.68% (G:0.01% B:0.00%) 43.32% (G:0.09% B:0.01%)  



22: 13/9 8/4 


1.  XG Roller++  13/9 11/9 8/6  eq: 0.223 
 Player: Opponent:  42.52% (G:0.00% B:0.00%) 57.48% (G:0.00% B:0.00%)  

2.  XG Roller++  13/7 8/6  eq: 0.224 (0.000) 
 Player: Opponent:  42.51% (G:0.00% B:0.00%) 57.49% (G:0.00% B:0.00%)  

3.  XG Roller++  13/9(2)  eq: 0.224 (0.001) 
 Player: Opponent:  42.50% (G:0.00% B:0.00%) 57.50% (G:0.00% B:0.00%)  

4.  XG Roller++  13/5  eq: 0.224 (0.001) 
 Player: Opponent:  42.49% (G:0.00% B:0.00%) 57.51% (G:0.00% B:0.00%)  

5.  XG Roller++  13/11 13/9 8/6  eq: 0.224 (0.001) 
 Player: Opponent:  42.50% (G:0.00% B:0.00%) 57.50% (G:0.00% B:0.00%)  

6.  XG Roller++  13/9 8/4  eq: 0.225 (0.001) 
 Player: Opponent:  42.48% (G:0.00% B:0.00%) 57.52% (G:0.00% B:0.00%)  



64: 13/7 8/4 


1.  XG Roller++  13/7 8/4  eq: +0.340 
 Player: Opponent:  61.08% (G:0.01% B:0.00%) 38.92% (G:0.00% B:0.00%)  

2.  XG Roller++  13/7 9/5  eq: +0.338 (0.002) 
 Player: Opponent:  61.00% (G:0.01% B:0.00%) 39.00% (G:0.00% B:0.00%)  

3.  XG Roller++  8/4 8/2  eq: +0.332 (0.008) 
 Player: Opponent:  60.82% (G:0.01% B:0.00%) 39.18% (G:0.01% B:0.00%)  

4.  XG Roller++  9/5 8/2  eq: +0.332 (0.008) 
 Player: Opponent:  60.79% (G:0.01% B:0.00%) 39.21% (G:0.00% B:0.00%)  

5.  XG Roller++  9/3 8/4  eq: +0.330 (0.010) 
 Player: Opponent:  60.72% (G:0.01% B:0.00%) 39.28% (G:0.01% B:0.00%)  



66: 13/7(3) 11/5 


1.  XG Roller++  13/7(3) 11/5  eq: +0.643 
 Player: Opponent:  69.53% (G:0.00% B:0.00%) 30.47% (G:0.00% B:0.00%)  

2.  XG Roller++  13/7(2) 13/1  eq: +0.634 (0.009) 
 Player: Opponent:  69.27% (G:0.00% B:0.00%) 30.73% (G:0.00% B:0.00%)  

3.  XG Roller++  13/7 11/5(2) 9/3  eq: +0.625 (0.018) 
 Player: Opponent:  69.16% (G:0.01% B:0.00%) 30.84% (G:0.01% B:0.00%)  

4.  XG Roller++  13/1 11/5(2)  eq: +0.625 (0.018) 
 Player: Opponent:  69.16% (G:0.01% B:0.00%) 30.84% (G:0.01% B:0.00%)  

5.  XG Roller++  13/7(3) 9/3  eq: +0.621 (0.022) 
 Player: Opponent:  68.94% (G:0.00% B:0.00%) 31.06% (G:0.00% B:0.00%)  



63: 13/10 13/7 


1.  XG Roller++  13/10 13/7  eq: 0.569 
 Player: Opponent:  31.48% (G:0.00% B:0.00%) 68.52% (G:0.00% B:0.00%)  

2.  XG Roller++  13/4  eq: 0.569 (0.001) 
 Player: Opponent:  31.45% (G:0.00% B:0.00%) 68.55% (G:0.00% B:0.00%)  

3.  XG Roller++  13/7 9/6  eq: 0.571 (0.002) 
 Player: Opponent:  31.39% (G:0.00% B:0.00%) 68.61% (G:0.00% B:0.00%)  

4.  XG Roller++  13/10 8/2  eq: 0.575 (0.006) 
 Player: Opponent:  31.30% (G:0.00% B:0.00%) 68.70% (G:0.00% B:0.00%)  

5.  XG Roller++  8/2 7/4  eq: 0.576 (0.007) 
 Player: Opponent:  31.26% (G:0.00% B:0.00%) 68.74% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
68.50% (G:0.00% B:0.00%) 
68.50% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
31.50% (G:0.00% B:0.00%) 
31.50% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.370 
+0.746 
Cubeful Equities 
No double:  +0.569  
Double/Take:  +0.533 (0.036)  
Double/Pass:  +1.000 (+0.431) 

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


51: 9/4 7/6 


1.  XG Roller++  11/6 7/6  eq: +0.469 
 Player: Opponent:  64.98% (G:0.00% B:0.00%) 35.02% (G:0.00% B:0.00%)  

2.  XG Roller++  9/4 7/6  eq: +0.467 (0.002) 
 Player: Opponent:  64.90% (G:0.00% B:0.00%) 35.10% (G:0.00% B:0.00%)  

3.  XG Roller++  7/6 7/2  eq: +0.466 (0.004) 
 Player: Opponent:  64.88% (G:0.00% B:0.00%) 35.12% (G:0.00% B:0.00%)  

4.  XG Roller++  11/6 3/2  eq: +0.453 (0.016) 
 Player: Opponent:  64.51% (G:0.00% B:0.00%) 35.49% (G:0.00% B:0.00%)  

5.  XG Roller++  11/10 7/2  eq: +0.452 (0.017) 
 Player: Opponent:  64.50% (G:0.00% B:0.00%) 35.50% (G:0.00% B:0.00%)  



61: 10/4 7/6 


1.  XG Roller++  10/4 7/6  eq: 0.540 
 Player: Opponent:  32.42% (G:0.00% B:0.00%) 67.58% (G:0.00% B:0.00%)  

2.  XG Roller++  8/2 7/6  eq: 0.547 (0.007) 
 Player: Opponent:  32.24% (G:0.00% B:0.00%) 67.76% (G:0.00% B:0.00%)  

3.  XG Roller++  10/4 3/2  eq: 0.552 (0.012) 
 Player: Opponent:  32.04% (G:0.00% B:0.00%) 67.96% (G:0.00% B:0.00%)  

4.  XG Roller++  9/3 7/6  eq: 0.552 (0.012) 
 Player: Opponent:  32.04% (G:0.00% B:0.00%) 67.96% (G:0.00% B:0.00%)  

5.  XG Roller++  10/4 9/8  eq: 0.555 (0.015) 
 Player: Opponent:  31.95% (G:0.00% B:0.00%) 68.05% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
67.56% (G:0.00% B:0.00%) 
67.57% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
32.44% (G:0.00% B:0.00%) 
32.43% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.351 
+0.709 
Cubeful Equities 
No double:  +0.535  
Double/Take:  +0.487 (0.049)  
Double/Pass:  +1.000 (+0.465) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.7% 


11: 11/10 7/6 7/5 


1.  XG Roller++  7/6 7/5 3/2  eq: +0.283 
 Player: Opponent:  59.32% (G:0.00% B:0.00%) 40.68% (G:0.00% B:0.00%)  

2.  XG Roller++  11/10 7/6(2) 3/2  eq: +0.283 (0.000) 
 Player: Opponent:  59.32% (G:0.00% B:0.00%) 40.68% (G:0.00% B:0.00%)  

3.  XG Roller++  11/10 7/6 7/5  eq: +0.283 (0.001) 
 Player: Opponent:  59.31% (G:0.00% B:0.00%) 40.69% (G:0.00% B:0.00%)  

4.  XG Roller++  11/9 7/6(2)  eq: +0.279 (0.004) 
 Player: Opponent:  59.19% (G:0.00% B:0.00%) 40.81% (G:0.00% B:0.00%)  

5.  XG Roller++  7/6 7/4  eq: +0.277 (0.006) 
 Player: Opponent:  59.10% (G:0.00% B:0.00%) 40.90% (G:0.00% B:0.00%)  



65: 9/4 8/2 


1.  XG Roller++  9/4 8/2  eq: 0.092 
 Player: Opponent:  46.60% (G:0.00% B:0.00%) 53.40% (G:0.00% B:0.00%)  

2.  XG Roller++  9/4 7/1  eq: 0.101 (0.009) 
 Player: Opponent:  46.27% (G:0.00% B:0.00%) 53.73% (G:0.00% B:0.00%)  

3.  XG Roller++  9/4 9/3  eq: 0.103 (0.010) 
 Player: Opponent:  46.18% (G:0.00% B:0.00%) 53.82% (G:0.00% B:0.00%)  

4.  XG Roller++  9/3 7/2  eq: 0.112 (0.020) 
 Player: Opponent:  45.83% (G:0.00% B:0.00%) 54.17% (G:0.00% B:0.00%)  

5.  XG Roller++  8/2 7/2  eq: 0.117 (0.025) 
 Player: Opponent:  45.70% (G:0.00% B:0.00%) 54.30% (G:0.00% B:0.00%)  



51: 10/4 


1.  XG Roller++  10/5 3/2  eq: 0.051 
 Player: Opponent:  48.25% (G:0.00% B:0.00%) 51.75% (G:0.00% B:0.00%)  

2.  XG Roller++  10/4  eq: 0.052 (0.001) 
 Player: Opponent:  48.15% (G:0.00% B:0.00%) 51.85% (G:0.00% B:0.00%)  

3.  XG Roller++  10/5 6/5  eq: 0.066 (0.016) 
 Player: Opponent:  47.67% (G:0.00% B:0.00%) 52.33% (G:0.00% B:0.00%)  

4.  XG Roller++  10/5 4/3  eq: 0.068 (0.017) 
 Player: Opponent:  47.64% (G:0.00% B:0.00%) 52.36% (G:0.00% B:0.00%)  

5.  XG Roller++  6/1 3/2  eq: 0.072 (0.022) 
 Player: Opponent:  47.44% (G:0.00% B:0.00%) 52.56% (G:0.00% B:0.00%)  



61: 9/3 7/6 


1.  XG Roller++  9/3 7/6  eq: 0.024 
 Player: Opponent:  48.79% (G:0.00% B:0.00%) 51.21% (G:0.00% B:0.00%)  

2.  XG Roller++  9/8 7/1  eq: 0.035 (0.011) 
 Player: Opponent:  48.38% (G:0.00% B:0.00%) 51.62% (G:0.00% B:0.00%)  

3.  XG Roller++  7/1 6/5  eq: 0.041 (0.017) 
 Player: Opponent:  48.18% (G:0.00% B:0.00%) 51.82% (G:0.00% B:0.00%)  

4.  XG Roller++  7/1 3/2  eq: 0.044 (0.019) 
 Player: Opponent:  48.08% (G:0.00% B:0.00%) 51.92% (G:0.00% B:0.00%)  

5.  XG Roller++  9/2  eq: 0.044 (0.020) 
 Player: Opponent:  48.07% (G:0.00% B:0.00%) 51.93% (G:0.00% B:0.00%)  



62: 6/Off 4/2 


1.  4ply  6/Off 4/2  eq: +0.022 
 Player: Opponent:  50.57% (G:0.00% B:0.00%) 49.43% (G:0.00% B:0.00%)  

2.  4ply  6/Off 3/1  eq: +0.014 (0.007) 
 Player: Opponent:  50.29% (G:0.00% B:0.00%) 49.71% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/3  eq: +0.003 (0.019) 
 Player: Opponent:  49.86% (G:0.00% B:0.00%) 50.14% (G:0.00% B:0.00%)  

4.  4ply  6/4 6/Off  eq: 0.003 (0.025) 
 Player: Opponent:  49.67% (G:0.00% B:0.00%) 50.33% (G:0.00% B:0.00%)  



64: 6/Off 4/Off 


1.  4ply  6/Off 4/Off  eq: +0.133 
 Player: Opponent:  54.32% (G:0.00% B:0.00%) 45.68% (G:0.00% B:0.00%)  

2.  4ply  6/2 6/Off  eq: +0.088 (0.045) 
 Player: Opponent:  52.69% (G:0.00% B:0.00%) 47.31% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/1  eq: +0.080 (0.054) 
 Player: Opponent:  52.38% (G:0.00% B:0.00%) 47.62% (G:0.00% B:0.00%)  



61: 6/Off 5/4 


1.  4ply  6/Off 5/4  eq: 0.242 
 Player: Opponent:  41.38% (G:0.00% B:0.00%) 58.62% (G:0.00% B:0.00%)  

2.  4ply  6/Off 2/1  eq: 0.246 (0.003) 
 Player: Opponent:  41.28% (G:0.00% B:0.00%) 58.72% (G:0.00% B:0.00%)  

3.  4ply  6/Off 3/2  eq: 0.248 (0.005) 
 Player: Opponent:  41.24% (G:0.00% B:0.00%) 58.76% (G:0.00% B:0.00%)  

4.  4ply  6/Off 4/3  eq: 0.259 (0.017) 
 Player: Opponent:  40.85% (G:0.00% B:0.00%) 59.15% (G:0.00% B:0.00%)  

5.  4ply  6/5 6/Off  eq: 0.266 (0.024) 
 Player: Opponent:  40.63% (G:0.00% B:0.00%) 59.37% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
58.61% (G:0.00% B:0.00%) 
58.59% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
41.39% (G:0.00% B:0.00%) 
41.41% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.172 
+0.347 
Cubeful Equities 
No double:  +0.246  
Double/Take:  +0.068 (0.178)  
Double/Pass:  +1.000 (+0.754) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.0% 


53: 5/Off 3/Off 


1.  4ply  5/Off 3/Off  eq: +0.295 
 Player: Opponent:  59.63% (G:0.00% B:0.00%) 40.37% (G:0.00% B:0.00%)  

2.  4ply  6/1 3/Off  eq: +0.260 (0.036) 
 Player: Opponent:  58.49% (G:0.00% B:0.00%) 41.51% (G:0.00% B:0.00%)  

3.  4ply  6/3 5/Off  eq: +0.182 (0.114) 
 Player: Opponent:  55.84% (G:0.00% B:0.00%) 44.16% (G:0.00% B:0.00%)  

4.  4ply  5/Off 4/1  eq: +0.180 (0.116) 
 Player: Opponent:  55.83% (G:0.00% B:0.00%) 44.17% (G:0.00% B:0.00%)  

5.  4ply  5/2 5/Off  eq: +0.165 (0.130) 
 Player: Opponent:  55.30% (G:0.00% B:0.00%) 44.70% (G:0.00% B:0.00%)  



21: 4/3 2/Off 


1.  XG Roller++  3/Off  eq: 0.751 
 Player: Opponent:  26.97% (G:0.00% B:0.00%) 73.03% (G:0.00% B:0.00%)  

2.  XG Roller++  4/3 2/Off  eq: 0.780 (0.029) 
 Player: Opponent:  26.32% (G:0.00% B:0.00%) 73.68% (G:0.00% B:0.00%)  

3.  4ply  6/5 2/Off  eq: 0.786 (0.035) 
 Player: Opponent:  26.31% (G:0.00% B:0.00%) 73.69% (G:0.00% B:0.00%)  

4.  4ply  5/4 2/Off  eq: 0.820 (0.069) 
 Player: Opponent:  25.60% (G:0.00% B:0.00%) 74.40% (G:0.00% B:0.00%)  

5.  4ply  4/1  eq: 0.830 (0.079) 
 Player: Opponent:  25.42% (G:0.00% B:0.00%) 74.58% (G:0.00% B:0.00%)  



Double/Take 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
73.64% (G:0.00% B:0.00%) 
73.60% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
26.36% (G:0.00% B:0.00%) 
26.40% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.473 
+0.952 
Cubeful Equities 
No double:  +0.718 (0.068)  
Double/Take:  +0.786  
Double/Pass:  +1.000 (+0.214) 

Best Cube action: Double / Take 


32: 3/Off 2/Off 


1.  4ply  3/Off 2/Off  eq: +0.239 
 Player: Opponent:  67.13% (G:0.00% B:0.00%) 32.87% (G:0.00% B:0.00%)  

2.  4ply  6/4 3/Off  eq: +0.218 (0.022) 
 Player: Opponent:  66.19% (G:0.00% B:0.00%) 33.81% (G:0.00% B:0.00%)  

3.  4ply  3/1 3/Off  eq: +0.201 (0.038) 
 Player: Opponent:  65.50% (G:0.00% B:0.00%) 34.50% (G:0.00% B:0.00%)  

4.  4ply  5/Off  eq: +0.197 (0.043) 
 Player: Opponent:  65.28% (G:0.00% B:0.00%) 34.72% (G:0.00% B:0.00%)  

5.  4ply  6/3 2/Off  eq: +0.196 (0.043) 
 Player: Opponent:  65.24% (G:0.00% B:0.00%) 34.76% (G:0.00% B:0.00%)  



44: 6/2 4/Off(3) 


1.  4ply  6/2 4/Off(3)  eq: +0.260 
 Player: Opponent:  54.02% (G:0.00% B:0.00%) 45.98% (G:0.00% B:0.00%)  

2.  4ply  5/1 4/Off(3)  eq: +0.251 (0.009) 
 Player: Opponent:  53.58% (G:0.00% B:0.00%) 46.42% (G:0.00% B:0.00%)  

3.  4ply  6/2 5/1 4/Off(2)  eq: +0.240 (0.019) 
 Player: Opponent:  53.11% (G:0.00% B:0.00%) 46.89% (G:0.00% B:0.00%)  

4.  4ply  6/2(2) 4/Off(2)  eq: +0.197 (0.063) 
 Player: Opponent:  51.35% (G:0.00% B:0.00%) 48.65% (G:0.00% B:0.00%)  

5.  4ply  6/2(2) 5/1 4/Off  eq: +0.153 (0.107) 
 Player: Opponent:  49.56% (G:0.00% B:0.00%) 50.44% (G:0.00% B:0.00%)  



41: 6/5 4/Off 


1.  4ply  6/5 4/Off  eq: 0.494 
 Player: Opponent:  35.58% (G:0.00% B:0.00%) 64.42% (G:0.00% B:0.00%)  

2.  4ply  5/Off  eq: 0.518 (0.024) 
 Player: Opponent:  34.60% (G:0.00% B:0.00%) 65.40% (G:0.00% B:0.00%)  

3.  4ply  4/Off 3/2  eq: 0.523 (0.029) 
 Player: Opponent:  34.43% (G:0.00% B:0.00%) 65.57% (G:0.00% B:0.00%)  

4.  4ply  6/5 6/2  eq: 0.545 (0.051) 
 Player: Opponent:  33.75% (G:0.00% B:0.00%) 66.25% (G:0.00% B:0.00%)  

5.  4ply  4/3 4/Off  eq: 0.551 (0.057) 
 Player: Opponent:  33.42% (G:0.00% B:0.00%) 66.58% (G:0.00% B:0.00%)  



No double 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
64.29% (G:0.00% B:0.00%) 
64.28% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
35.71% (G:0.00% B:0.00%) 
35.72% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.286 
+0.584 
Cubeful Equities 
No redouble:  +0.521  
Redouble/Take:  +0.380 (0.141)  
Redouble/Pass:  +1.000 (+0.479) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 18.6% 


53: 5/Off 3/Off 


1.  4ply  5/Off 3/Off  eq: +0.643 
 Player: Opponent:  67.61% (G:0.00% B:0.00%) 32.39% (G:0.00% B:0.00%)  

2.  4ply  6/1 3/Off  eq: +0.499 (0.145) 
 Player: Opponent:  62.68% (G:0.00% B:0.00%) 37.32% (G:0.00% B:0.00%)  

3.  4ply  5/2 5/Off  eq: +0.440 (0.204) 
 Player: Opponent:  60.66% (G:0.00% B:0.00%) 39.34% (G:0.00% B:0.00%)  

4.  4ply  6/3 5/Off  eq: +0.429 (0.214) 
 Player: Opponent:  60.36% (G:0.00% B:0.00%) 39.64% (G:0.00% B:0.00%)  

5.  4ply  6/1 5/2  eq: +0.342 (0.302) 
 Player: Opponent:  57.14% (G:0.00% B:0.00%) 42.86% (G:0.00% B:0.00%)  



62: 6/4 6/Off 


1.  4ply  6/4 6/Off  eq: 0.648 
 Player: Opponent:  29.61% (G:0.00% B:0.00%) 70.39% (G:0.00% B:0.00%)  

2.  4ply  6/Off 5/3  eq: 0.649 (0.001) 
 Player: Opponent:  29.49% (G:0.00% B:0.00%) 70.51% (G:0.00% B:0.00%)  

3.  4ply  6/Off 3/1  eq: 0.739 (0.091) 
 Player: Opponent:  27.85% (G:0.00% B:0.00%) 72.15% (G:0.00% B:0.00%)  

4.  4ply  6/Off 4/2  eq: 0.745 (0.097) 
 Player: Opponent:  27.75% (G:0.00% B:0.00%) 72.25% (G:0.00% B:0.00%)  



Double/Take 


Analyzed in XG Roller++ 
No redouble 
Redouble/Take 
Player Winning Chances: 
70.38% (G:0.00% B:0.00%) 
70.39% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
29.62% (G:0.00% B:0.00%) 
29.61% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.408 
+0.834 
Cubeful Equities 
No redouble:  +0.681 (0.012)  
Redouble/Take:  +0.693  
Redouble/Pass:  +1.000 (+0.307) 

Best Cube action: Redouble / Take 


11: 5/4 3/Off 


1.  4ply  5/4 3/Off  eq: +0.093 
 Player: Opponent:  59.38% (G:0.00% B:0.00%) 40.62% (G:0.00% B:0.00%)  

2.  4ply  6/4 2/Off  eq: +0.058 (0.034) 
 Player: Opponent:  58.17% (G:0.00% B:0.00%) 41.83% (G:0.00% B:0.00%)  

3.  4ply  3/Off 2/1  eq: +0.043 (0.050) 
 Player: Opponent:  57.36% (G:0.00% B:0.00%) 42.64% (G:0.00% B:0.00%)  

4.  4ply  6/5 3/Off  eq: +0.034 (0.058) 
 Player: Opponent:  57.00% (G:0.00% B:0.00%) 43.00% (G:0.00% B:0.00%)  

5.  4ply  5/4(2) 2/Off  eq: +0.017 (0.076) 
 Player: Opponent:  56.53% (G:0.00% B:0.00%) 43.47% (G:0.00% B:0.00%)  



61: 6/Off 5/4 


1.  4ply  6/Off 5/4  eq: 0.253 
 Player: Opponent:  32.93% (G:0.00% B:0.00%) 67.07% (G:0.00% B:0.00%)  

2.  4ply  6/Off 3/2  eq: 0.269 (0.016) 
 Player: Opponent:  32.20% (G:0.00% B:0.00%) 67.80% (G:0.00% B:0.00%)  

3.  4ply  6/Off 4/3  eq: 0.280 (0.027) 
 Player: Opponent:  31.69% (G:0.00% B:0.00%) 68.31% (G:0.00% B:0.00%)  

4.  4ply  6/Off  eq: 0.317 (0.064) 
 Player: Opponent:  30.15% (G:0.00% B:0.00%) 69.85% (G:0.00% B:0.00%)  



64: 6/Off 4/Off 


1.  4ply  6/Off 4/Off  eq: +0.505 
 Player: Opponent:  77.16% (G:0.00% B:0.00%) 22.84% (G:0.00% B:0.00%)  

2.  4ply  6/Off 5/1  eq: +0.431 (0.074) 
 Player: Opponent:  73.65% (G:0.00% B:0.00%) 26.35% (G:0.00% B:0.00%)  

3.  4ply  6/2 6/Off  eq: +0.408 (0.097) 
 Player: Opponent:  72.63% (G:0.00% B:0.00%) 27.37% (G:0.00% B:0.00%)  



42: 4/2 4/Off 


1.  XG Roller++  5/3 4/Off  eq: 0.693 
 Player: Opponent:  14.86% (G:0.00% B:0.00%) 85.14% (G:0.00% B:0.00%)  

2.  XG Roller++  4/2 4/Off  eq: 0.721 (0.028) 
 Player: Opponent:  13.47% (G:0.00% B:0.00%) 86.53% (G:0.00% B:0.00%)  

3.  4ply  4/Off 3/1  eq: 0.734 (0.041) 
 Player: Opponent:  12.39% (G:0.00% B:0.00%) 87.61% (G:0.00% B:0.00%)  

4.  4ply  5/1 4/2  eq: 0.739 (0.046) 
 Player: Opponent:  12.18% (G:0.00% B:0.00%) 87.82% (G:0.00% B:0.00%)  

5.  4ply  5/3 5/1  eq: 0.750 (0.057) 
 Player: Opponent:  11.60% (G:0.00% B:0.00%) 88.40% (G:0.00% B:0.00%)  



32: 3/Off 2/Off 


1.  4ply  3/Off 2/Off  eq: +0.628 
 Player: Opponent:  81.83% (G:0.00% B:0.00%) 18.17% (G:0.00% B:0.00%)  

2.  4ply  6/4 3/Off  eq: +0.561 (0.067) 
 Player: Opponent:  78.58% (G:0.00% B:0.00%) 21.42% (G:0.00% B:0.00%)  

3.  4ply  5/Off  eq: +0.530 (0.098) 
 Player: Opponent:  77.50% (G:0.00% B:0.00%) 22.50% (G:0.00% B:0.00%)  

4.  4ply  6/3 2/Off  eq: +0.501 (0.127) 
 Player: Opponent:  75.97% (G:0.00% B:0.00%) 24.03% (G:0.00% B:0.00%)  

5.  4ply  6/1  eq: +0.369 (0.259) 
 Player: Opponent:  70.78% (G:0.00% B:0.00%) 29.22% (G:0.00% B:0.00%)  



51: 5/Off 3/2 


1.  XG Roller++  5/4 5/Off  eq: 0.743 
 Player: Opponent:  12.11% (G:0.00% B:0.00%) 87.89% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 3/2  eq: 0.799 (0.056) 
 Player: Opponent:  9.39% (G:0.00% B:0.00%) 90.61% (G:0.00% B:0.00%)  

3.  4ply  5/Off 2/1  eq: 0.776 (0.032) 
 Player: Opponent:  10.62% (G:0.00% B:0.00%) 89.38% (G:0.00% B:0.00%)  

4.  4ply  5/Off 4/3  eq: 0.796 (0.052) 
 Player: Opponent:  9.43% (G:0.00% B:0.00%) 90.57% (G:0.00% B:0.00%)  



65: 6/Off 5/Off 


1.  4ply  6/Off 5/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  

2.  4ply  6/1 5/Off  eq: +0.889 (0.111) 
 Player: Opponent:  94.44% (G:0.00% B:0.00%) 5.56% (G:0.00% B:0.00%)  



Wins a Single Game 4pts. 



