54: 13/9 13/8 


1.  Book^{1}  13/9 13/8  eq: +0.255 
 Player: Opponent:  50.19% (G:15.08% B:0.60%) 49.81% (G:14.38% B:1.64%)  Conf.: ± 0.003 (+0.252...+0.258)  [100.0%] 

2.  Book^{1}  24/20 13/8  eq: +0.244 (0.011) 
 Player: Opponent:  50.85% (G:13.47% B:0.52%) 49.15% (G:13.79% B:1.36%)  Conf.: ± 0.003 (+0.241...+0.247)  [0.0%] 

3.  Book^{2}  24/15  eq: +0.196 (0.059) 
 Player: Opponent:  50.41% (G:12.01% B:0.45%) 49.59% (G:13.89% B:1.41%)  Conf.: ± 0.002 (+0.194...+0.198)  [0.0%] 

4.  Book^{3}  13/4  eq: +0.181 (0.074) 
 Player: Opponent:  48.72% (G:14.08% B:0.53%) 51.28% (G:15.10% B:2.03%)  Conf.: ± 0.003 (+0.178...+0.185)  [0.0%] 

5.  Book^{4}  13/8 6/2  eq: +0.124 (0.131) 
 Player: Opponent:  46.78% (G:12.93% B:0.53%) 53.22% (G:14.88% B:0.74%)  


^{1} Generated by Steven Carey on 02/08/2012 using eXtreme Gammon 2.10 23328 Games rolled with Variance Reduction. Dice Seed: 53850934 Moves: 3ply, cube decisions: XG Roller
^{2} Generated by Steven Carey on 31/07/2012 using eXtreme Gammon 2.10 46656 Games rolled with Variance Reduction. Dice Seed: 53850934 Moves: 3ply, cube decisions: XG Roller
^{3} Generated by Steven Carey on 31/07/2012 using eXtreme Gammon 2.10 23328 Games rolled with Variance Reduction. Dice Seed: 53850934 Moves: 3ply, cube decisions: XG Roller
^{4} Generated by GameSite 2000, Ltd on 21/05/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



52: 24/22 13/8 


1.  XG Roller++  24/22 13/8  eq: 0.447 
 Player: Opponent:  45.32% (G:11.42% B:0.53%) 54.68% (G:17.29% B:0.60%)  

2.  XG Roller++  13/11 13/8  eq: 0.455 (0.008) 
 Player: Opponent:  45.66% (G:12.63% B:0.61%) 54.34% (G:16.94% B:0.93%)  

3.  XG Roller++  13/8 6/4  eq: 0.477 (0.029) 
 Player: Opponent:  45.35% (G:11.93% B:0.54%) 54.65% (G:17.25% B:0.94%)  

4.  4ply  13/6  eq: 0.536 (0.089) 
 Player: Opponent:  43.35% (G:11.26% B:0.48%) 56.65% (G:17.45% B:0.92%)  

5.  4ply  13/11 8/3  eq: 0.578 (0.130) 
 Player: Opponent:  43.23% (G:11.64% B:0.56%) 56.77% (G:18.82% B:1.34%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
54.70% (G:17.19% B:0.58%) 
54.75% (G:17.24% B:0.58%) 
Opponent Winning Chances: 
45.30% (G:11.55% B:0.54%) 
45.25% (G:11.28% B:0.56%) 
Cubeless Equities 
+0.083 
+0.435 
Cubeful Equities 
No double:  +0.450  
Double/Take:  +0.397 (0.054)  
Double/Pass:  +1.000 (+0.550) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 8.2% 


61: 13/7 8/7 


1.  XG Roller++  13/7 8/7  eq: +0.232 
 Player: Opponent:  49.67% (G:13.76% B:0.49%) 50.33% (G:13.09% B:0.72%)  

2.  XG Roller++  24/23 9/3*  eq: +0.170 (0.062) 
 Player: Opponent:  48.15% (G:13.25% B:0.51%) 51.85% (G:13.82% B:0.64%)  

3.  XG Roller++  24/18 9/8  eq: +0.128 (0.104) 
 Player: Opponent:  48.85% (G:10.49% B:0.35%) 51.15% (G:13.10% B:0.45%)  

4.  4ply  9/3* 3/2  eq: +0.108 (0.124) 
 Player: Opponent:  46.81% (G:12.79% B:0.46%) 53.19% (G:14.53% B:0.78%)  

5.  4ply  9/3* 6/5  eq: +0.091 (0.141) 
 Player: Opponent:  46.35% (G:12.60% B:0.52%) 53.65% (G:16.25% B:1.14%)  



42: 24/20 22/20 


1.  XG Roller++  24/20 22/20  eq: 0.077 
 Player: Opponent:  50.94% (G:10.81% B:0.32%) 49.06% (G:7.80% B:0.23%)  

2.  XG Roller++  22/16*  eq: 0.146 (0.068) 
 Player: Opponent:  52.35% (G:14.03% B:0.81%) 47.65% (G:13.57% B:0.50%)  

3.  3ply  24/22 13/9  eq: 0.318 (0.241) 
 Player: Opponent:  46.16% (G:12.02% B:0.50%) 53.84% (G:12.38% B:0.45%)  

4.  3ply  8/4 6/4  eq: 0.327 (0.250) 
 Player: Opponent:  48.36% (G:13.62% B:0.70%) 51.64% (G:16.36% B:0.60%)  

5.  2ply  24/22 8/4  eq: 0.404 (0.327) 
 Player: Opponent:  43.89% (G:10.78% B:0.42%) 56.11% (G:13.75% B:0.47%)  



54: 9/4 8/4 


1.  XG Roller++  9/4 8/4  eq: +0.104 
 Player: Opponent:  49.03% (G:8.39% B:0.25%) 50.97% (G:11.44% B:0.34%)  

2.  XG Roller++  24/20 9/4  eq: +0.056 (0.048) 
 Player: Opponent:  47.70% (G:8.22% B:0.25%) 52.30% (G:11.90% B:0.39%)  

3.  XG Roller++  24/15  eq: +0.009 (0.095) 
 Player: Opponent:  46.27% (G:7.96% B:0.25%) 53.73% (G:12.08% B:0.45%)  

4.  4ply  13/9 13/8  eq: 0.012 (0.116) 
 Player: Opponent:  45.84% (G:7.50% B:0.26%) 54.16% (G:10.84% B:0.33%)  

5.  4ply  24/20 8/3  eq: 0.020 (0.124) 
 Player: Opponent:  44.68% (G:9.38% B:0.30%) 55.32% (G:13.40% B:0.60%)  



32: 13/11 13/10 


1.  XG Roller++  13/11 13/10  eq: 0.230 
 Player: Opponent:  47.19% (G:10.68% B:0.30%) 52.81% (G:9.24% B:0.27%)  

2.  XG Roller++  13/8  eq: 0.253 (0.023) 
 Player: Opponent:  46.05% (G:9.41% B:0.24%) 53.95% (G:8.68% B:0.24%)  

3.  XG Roller++  13/10 8/6  eq: 0.282 (0.052) 
 Player: Opponent:  45.44% (G:9.69% B:0.25%) 54.56% (G:9.04% B:0.26%)  

4.  4ply  13/11 8/5  eq: 0.318 (0.088) 
 Player: Opponent:  46.37% (G:10.32% B:0.31%) 53.63% (G:12.10% B:0.35%)  

5.  4ply  13/11 6/3  eq: 0.338 (0.108) 
 Player: Opponent:  45.48% (G:9.51% B:0.27%) 54.52% (G:11.70% B:0.35%)  



No double 


Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
52.44% (G:9.81% B:0.30%) 
52.36% (G:9.46% B:0.27%) 
Opponent Winning Chances: 
47.56% (G:10.23% B:0.32%) 
47.64% (G:10.31% B:0.34%) 
Cubeless Equities 
0.010 
+0.097 
Cubeful Equities 
No double:  +0.233  
Double/Take:  +0.052 (0.181)  
Double/Pass:  +1.000 (+0.767) 

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


11: 24/22(2) 


1.  XG Roller++  24/22(2)  eq: +0.004 
 Player: Opponent:  46.85% (G:6.46% B:0.18%) 53.15% (G:9.68% B:0.27%)  

2.  XG Roller++  24/23 24/21  eq: +0.000 (0.003) 
 Player: Opponent:  46.57% (G:7.53% B:0.25%) 53.43% (G:12.59% B:0.36%)  

3.  XG Roller++  24/20  eq: 0.010 (0.014) 
 Player: Opponent:  46.02% (G:7.67% B:0.24%) 53.98% (G:13.54% B:0.39%)  

4.  XG Roller++  24/22 4/3(2)  eq: 0.045 (0.049) 
 Player: Opponent:  44.97% (G:7.82% B:0.24%) 55.03% (G:14.02% B:0.41%)  

5.  XG Roller++  24/21 8/7  eq: 0.054 (0.058) 
 Player: Opponent:  44.35% (G:8.33% B:0.24%) 55.65% (G:13.75% B:0.46%)  



63: 11/5 8/5 


1.  3ply  11/5 8/5  eq: +0.035 
 Player: Opponent:  54.33% (G:9.77% B:0.23%) 45.67% (G:6.47% B:0.17%)  

2.  3ply  13/7 10/7  eq: 0.211 (0.247) 
 Player: Opponent:  47.38% (G:8.36% B:0.26%) 52.62% (G:7.99% B:0.27%)  

3.  3ply  10/1  eq: 0.281 (0.317) 
 Player: Opponent:  45.12% (G:8.47% B:0.18%) 54.88% (G:8.12% B:0.30%)  

4.  3ply  11/2  eq: 0.283 (0.318) 
 Player: Opponent:  45.11% (G:7.93% B:0.20%) 54.89% (G:8.01% B:0.30%)  

5.  2ply  13/10 13/7  eq: 0.318 (0.353) 
 Player: Opponent:  44.44% (G:7.88% B:0.19%) 55.56% (G:10.04% B:0.31%)  



65: 13/8 13/7 


1.  XG Roller++  22/11  eq: 0.081 
 Player: Opponent:  43.87% (G:8.06% B:0.31%) 56.13% (G:14.99% B:0.45%)  

2.  XG Roller++  13/8 13/7  eq: 0.198 (0.117) 
 Player: Opponent:  41.29% (G:5.22% B:0.14%) 58.71% (G:9.07% B:0.22%)  

3.  4ply  7/1 6/1  eq: 0.186 (0.105) 
 Player: Opponent:  39.91% (G:7.99% B:0.16%) 60.09% (G:11.45% B:0.36%)  

4.  4ply  8/3 8/2  eq: 0.199 (0.118) 
 Player: Opponent:  40.19% (G:6.50% B:0.14%) 59.81% (G:10.76% B:0.31%)  

5.  4ply  7/2 7/1  eq: 0.229 (0.148) 
 Player: Opponent:  39.22% (G:6.75% B:0.11%) 60.78% (G:12.16% B:0.36%)  



55: 20/10(2) 


1.  XG Roller++  20/10(2)  eq: +0.483 
 Player: Opponent:  65.24% (G:4.77% B:0.11%) 34.76% (G:2.27% B:0.04%)  

2.  XG Roller++  20/15 20/10 13/8  eq: +0.395 (0.088) 
 Player: Opponent:  63.11% (G:5.61% B:0.13%) 36.89% (G:4.10% B:0.09%)  

3.  XG Roller++  20/15 20/10 6/1  eq: +0.387 (0.096) 
 Player: Opponent:  63.16% (G:8.03% B:0.18%) 36.84% (G:5.11% B:0.16%)  

4.  4ply  20/15(2) 10/5 6/1  eq: +0.355 (0.127) 
 Player: Opponent:  63.40% (G:4.52% B:0.08%) 36.60% (G:3.56% B:0.07%)  

5.  4ply  20/15(2) 13/8 10/5  eq: +0.343 (0.140) 
 Player: Opponent:  62.69% (G:4.24% B:0.07%) 37.31% (G:3.15% B:0.06%)  



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


1.  XG Roller++  8/3(2) 7/2(2)  eq: 0.373 
 Player: Opponent:  37.26% (G:3.62% B:0.04%) 62.74% (G:6.14% B:0.22%)  

2.  XG Roller++  8/3(2) 6/1(2)  eq: 0.381 (0.008) 
 Player: Opponent:  37.20% (G:3.25% B:0.02%) 62.80% (G:5.81% B:0.17%)  

3.  XG Roller++  8/3(2) 7/2 6/1  eq: 0.384 (0.011) 
 Player: Opponent:  37.02% (G:3.45% B:0.03%) 62.98% (G:6.45% B:0.26%)  

4.  XG Roller++  8/3 7/2 6/1(2)  eq: 0.391 (0.019) 
 Player: Opponent:  36.74% (G:3.45% B:0.03%) 63.26% (G:6.41% B:0.23%)  

5.  XG Roller++  7/2(2) 6/1(2)  eq: 0.394 (0.021) 
 Player: Opponent:  36.67% (G:3.36% B:0.02%) 63.33% (G:6.36% B:0.19%)  



42: 8/4 6/4 


1.  3ply  8/4 6/4  eq: +0.391 
 Player: Opponent:  63.62% (G:5.63% B:0.08%) 36.38% (G:2.28% B:0.01%)  

2.  3ply  10/8 6/2  eq: +0.190 (0.202) 
 Player: Opponent:  58.10% (G:4.91% B:0.08%) 41.90% (G:3.86% B:0.02%)  

3.  3ply  8/2  eq: +0.117 (0.274) 
 Player: Opponent:  55.97% (G:4.54% B:0.08%) 44.03% (G:4.31% B:0.02%)  

4.  2ply  13/11 6/2  eq: +0.044 (0.347) 
 Player: Opponent:  53.77% (G:4.38% B:0.06%) 46.23% (G:7.58% B:0.08%)  

5.  2ply  13/11 10/6  eq: 0.003 (0.394) 
 Player: Opponent:  52.00% (G:4.20% B:0.05%) 48.00% (G:6.79% B:0.06%)  



21: 7/5 6/5 


1.  XG Roller++  7/5 6/5  eq: 0.461 
 Player: Opponent:  34.79% (G:2.92% B:0.03%) 65.21% (G:5.67% B:0.17%)  

2.  XG Roller++  7/6 7/5  eq: 0.491 (0.030) 
 Player: Opponent:  33.73% (G:3.07% B:0.04%) 66.27% (G:6.36% B:0.25%)  

3.  XG Roller++  8/5  eq: 0.510 (0.049) 
 Player: Opponent:  33.34% (G:2.67% B:0.03%) 66.66% (G:6.34% B:0.18%)  

4.  XG Roller++  7/5 3/2  eq: 0.514 (0.053) 
 Player: Opponent:  33.41% (G:2.86% B:0.04%) 66.59% (G:6.25% B:0.33%)  

5.  XG Roller++  7/4  eq: 0.532 (0.071) 
 Player: Opponent:  32.59% (G:2.60% B:0.02%) 67.41% (G:6.66% B:0.20%)  



61: 10/4 6/5 


1.  4ply  10/4 6/5  eq: +0.431 
 Player: Opponent:  63.92% (G:4.91% B:0.07%) 36.08% (G:2.32% B:0.01%)  

2.  4ply  13/6  eq: +0.289 (0.142) 
 Player: Opponent:  59.49% (G:4.31% B:0.06%) 40.51% (G:3.22% B:0.02%)  

3.  3ply  13/12 10/4  eq: +0.152 (0.279) 
 Player: Opponent:  57.12% (G:4.54% B:0.09%) 42.88% (G:8.71% B:0.13%)  

4.  1ply  13/7 6/5  eq: 0.290 (0.721) 
 Player: Opponent:  49.44% (G:5.80% B:0.08%) 50.56% (G:15.12% B:0.25%)  

5.  1ply  8/7 8/2  eq: 0.404 (0.835) 
 Player: Opponent:  46.28% (G:5.97% B:0.07%) 53.72% (G:16.74% B:0.09%)  



54: 7/3 7/2 


1.  XG Roller++  7/2 6/2  eq: 0.473 
 Player: Opponent:  34.72% (G:3.03% B:0.02%) 65.28% (G:6.06% B:0.18%)  

2.  XG Roller++  8/4 7/2  eq: 0.487 (0.014) 
 Player: Opponent:  34.49% (G:2.71% B:0.02%) 65.51% (G:5.68% B:0.16%)  

3.  XG Roller++  7/3 7/2  eq: 0.496 (0.023) 
 Player: Opponent:  34.06% (G:2.71% B:0.02%) 65.94% (G:5.92% B:0.17%)  

4.  XG Roller++  8/3 7/3  eq: 0.529 (0.057) 
 Player: Opponent:  32.81% (G:2.59% B:0.03%) 67.19% (G:6.26% B:0.17%)  

5.  XG Roller++  8/3 6/2  eq: 0.545 (0.072) 
 Player: Opponent:  32.40% (G:2.61% B:0.02%) 67.60% (G:7.15% B:0.28%)  



43: 6/2 5/2 


1.  XG Roller++  5/1 4/1  eq: +0.473 
 Player: Opponent:  64.66% (G:7.14% B:0.19%) 35.34% (G:2.99% B:0.03%)  

2.  XG Roller++  6/2 5/2  eq: +0.468 (0.005) 
 Player: Opponent:  64.76% (G:7.19% B:0.21%) 35.24% (G:3.33% B:0.04%)  

3.  XG Roller++  13/6  eq: +0.404 (0.069) 
 Player: Opponent:  62.43% (G:5.89% B:0.21%) 37.57% (G:2.75% B:0.03%)  

4.  4ply  13/10 6/2  eq: +0.340 (0.133) 
 Player: Opponent:  60.43% (G:5.75% B:0.16%) 39.57% (G:4.86% B:0.07%)  

5.  3ply  13/10 5/1  eq: +0.296 (0.177) 
 Player: Opponent:  60.94% (G:6.27% B:0.16%) 39.06% (G:4.34% B:0.03%)  



32: 8/5 4/2 


1.  XG Roller++  8/6 5/2  eq: 0.599 
 Player: Opponent:  30.69% (G:2.23% B:0.02%) 69.31% (G:6.76% B:0.18%)  

2.  XG Roller++  8/5 4/2  eq: 0.603 (0.004) 
 Player: Opponent:  30.62% (G:2.26% B:0.02%) 69.38% (G:6.97% B:0.19%)  

3.  XG Roller++  8/3  eq: 0.603 (0.004) 
 Player: Opponent:  30.42% (G:2.36% B:0.03%) 69.58% (G:7.37% B:0.21%)  

4.  XG Roller++  5/2 3/1  eq: 0.610 (0.011) 
 Player: Opponent:  30.68% (G:1.96% B:0.01%) 69.32% (G:7.10% B:0.25%)  

5.  XG Roller++  8/5 3/1  eq: 0.611 (0.011) 
 Player: Opponent:  30.44% (G:2.25% B:0.02%) 69.56% (G:7.35% B:0.21%)  



32: 13/8 


1.  XG Roller++  8/6 8/5  eq: +0.505 
 Player: Opponent:  66.68% (G:10.43% B:0.28%) 33.32% (G:4.30% B:0.07%)  

2.  XG Roller++  13/8  eq: +0.490 (0.015) 
 Player: Opponent:  65.34% (G:7.63% B:0.24%) 34.66% (G:3.59% B:0.04%)  

3.  XG Roller++  10/5  eq: +0.467 (0.038) 
 Player: Opponent:  65.54% (G:9.91% B:0.35%) 34.46% (G:4.70% B:0.04%)  

4.  XG Roller++  13/11 13/10  eq: +0.447 (0.059) 
 Player: Opponent:  64.34% (G:5.82% B:0.16%) 35.66% (G:3.90% B:0.04%)  

5.  4ply  13/10 4/2  eq: +0.441 (0.064) 
 Player: Opponent:  63.06% (G:5.86% B:0.17%) 36.94% (G:3.69% B:0.04%)  



62: 22/14 


1.  4ply  22/14  eq: 0.566 
 Player: Opponent:  29.61% (G:7.95% B:0.14%) 70.39% (G:14.18% B:0.55%)  

2.  4ply  22/16 6/4  eq: 0.695 (0.129) 
 Player: Opponent:  26.23% (G:4.88% B:0.05%) 73.77% (G:17.94% B:0.71%)  

3.  4ply  22/16 4/2  eq: 0.704 (0.138) 
 Player: Opponent:  25.81% (G:3.99% B:0.03%) 74.19% (G:15.44% B:0.52%)  

4.  4ply  22/16 3/1  eq: 0.705 (0.139) 
 Player: Opponent:  26.06% (G:5.24% B:0.07%) 73.94% (G:19.16% B:0.79%)  

5.  3ply  22/16 5/3  eq: 0.787 (0.221) 
 Player: Opponent:  23.84% (G:3.89% B:0.07%) 76.16% (G:18.66% B:0.73%)  



31: 13/10 4/3* 


1.  XG Roller++  8/5 4/3*  eq: +0.239 
 Player: Opponent:  59.78% (G:11.85% B:0.46%) 40.22% (G:17.09% B:0.17%)  

2.  XG Roller++  13/10 4/3*  eq: +0.153 (0.087) 
 Player: Opponent:  56.66% (G:5.04% B:0.18%) 43.34% (G:9.50% B:0.02%)  

3.  3ply  6/3* 4/3  eq: +0.055 (0.184) 
 Player: Opponent:  54.43% (G:10.42% B:0.43%) 45.57% (G:20.71% B:0.13%)  

4.  3ply  10/7 4/3*  eq: 0.033 (0.272) 
 Player: Opponent:  59.09% (G:11.17% B:0.45%) 40.91% (G:25.37% B:1.26%)  

5.  3ply  10/7 8/7  eq: 0.060 (0.299) 
 Player: Opponent:  52.61% (G:4.72% B:0.23%) 47.39% (G:9.57% B:0.06%)  



51: Bar/24 14/9 


1.  3ply  Bar/24 14/9  eq: 0.471 
 Player: Opponent:  35.15% (G:3.39% B:0.02%) 64.85% (G:2.20% B:0.07%)  

2.  3ply  Bar/24 6/1  eq: 0.646 (0.176) 
 Player: Opponent:  28.07% (G:2.26% B:0.01%) 71.93% (G:6.12% B:0.30%)  



54: 10/6 8/3 


1.  XG Roller++  10/6 8/3  eq: +0.512 
 Player: Opponent:  67.99% (G:2.16% B:0.05%) 32.01% (G:0.54% B:0.00%)  

2.  XG Roller++  8/4 8/3  eq: +0.469 (0.043) 
 Player: Opponent:  65.26% (G:2.84% B:0.10%) 34.74% (G:1.02% B:0.00%)  

3.  2ply  10/5 8/4  eq: +0.041 (0.471) 
 Player: Opponent:  51.67% (G:2.05% B:0.08%) 48.33% (G:5.24% B:0.02%)  

4.  1ply  10/6 10/5  eq: 0.108 (0.619) 
 Player: Opponent:  52.09% (G:2.21% B:0.04%) 47.91% (G:8.91% B:0.02%)  

5.  1ply  8/3 6/2  eq: 0.162 (0.673) 
 Player: Opponent:  49.19% (G:2.12% B:0.05%) 50.81% (G:7.46% B:0.01%)  



41: 9/4 


1.  4ply  9/4  eq: 0.674 
 Player: Opponent:  23.98% (G:2.22% B:0.02%) 76.02% (G:2.20% B:0.05%)  

2.  4ply  6/2 5/4  eq: 0.768 (0.094) 
 Player: Opponent:  20.92% (G:2.29% B:0.02%) 79.08% (G:4.01% B:0.12%)  

3.  3ply  5/4 5/1  eq: 0.896 (0.222) 
 Player: Opponent:  19.81% (G:1.92% B:0.02%) 80.19% (G:4.31% B:0.12%)  

4.  3ply  9/8 5/1  eq: 0.914 (0.240) 
 Player: Opponent:  19.27% (G:2.09% B:0.03%) 80.73% (G:4.80% B:0.14%)  

5.  3ply  9/5 4/3  eq: 0.922 (0.248) 
 Player: Opponent:  19.44% (G:1.93% B:0.02%) 80.56% (G:3.12% B:0.05%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
74.47% (G:1.97% B:0.04%) 
74.17% (G:1.79% B:0.04%) 
Opponent Winning Chances: 
25.53% (G:0.69% B:0.00%) 
25.83% (G:0.41% B:0.00%) 
Cubeless Equities 
+0.512 
+1.310 
Cubeful Equities 
No double:  +0.707  
Double/Take:  +0.640 (0.067)  
Double/Pass:  +1.000 (+0.293) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 15.8% 


42: 8/6 8/4 


1.  XG Roller++  8/6 8/4  eq: +0.654 
 Player: Opponent:  69.87% (G:1.89% B:0.04%) 30.13% (G:0.43% B:0.00%)  

2.  XG Roller++  10/4  eq: +0.596 (0.058) 
 Player: Opponent:  67.75% (G:1.86% B:0.04%) 32.25% (G:1.04% B:0.01%)  

3.  XG Roller++  8/2  eq: +0.586 (0.068) 
 Player: Opponent:  66.99% (G:1.74% B:0.04%) 33.01% (G:1.11% B:0.01%)  

4.  4ply  10/8 10/6  eq: +0.507 (0.147) 
 Player: Opponent:  65.40% (G:1.51% B:0.02%) 34.60% (G:0.46% B:0.00%)  

5.  4ply  10/6 8/6  eq: +0.504 (0.150) 
 Player: Opponent:  63.17% (G:1.53% B:0.02%) 36.83% (G:1.81% B:0.03%)  



31: 5/1 


1.  XG Roller++  6/5 6/3  eq: 1.000 
 Player: Opponent:  20.06% (G:0.36% B:0.00%) 79.94% (G:1.88% B:0.04%)  

2.  XG Roller++  5/1  eq: 1.000 
 Player: Opponent:  20.12% (G:0.55% B:0.00%) 79.88% (G:2.74% B:0.06%)  

3.  XG Roller++  6/2  eq: 1.000 
 Player: Opponent:  19.53% (G:0.48% B:0.00%) 80.47% (G:2.37% B:0.04%)  

4.  XG Roller++  6/3 5/4  eq: 1.000 
 Player: Opponent:  19.33% (G:0.47% B:0.00%) 80.67% (G:2.35% B:0.05%)  

5.  XG Roller++  5/2 3/2  eq: 1.000 
 Player: Opponent:  19.20% (G:0.61% B:0.00%) 80.80% (G:3.39% B:0.07%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
79.79% (G:2.63% B:0.05%) 
79.74% (G:2.16% B:0.04%) 
Opponent Winning Chances: 
20.21% (G:0.55% B:0.00%) 
20.26% (G:0.52% B:0.00%) 
Cubeless Equities 
+0.629 
+1.546 
Cubeful Equities 
No double:  +0.763 (0.237)  
Double/Take:  +1.039 (+0.039)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


32: 6/1* 


1.  XG Roller++  6/1*  eq: +0.716 
 Player: Opponent:  77.85% (G:4.48% B:0.10%) 22.15% (G:1.36% B:0.01%)  

2.  XG Roller++  6/4 6/3  eq: +0.686 (0.030) 
 Player: Opponent:  71.70% (G:1.66% B:0.04%) 28.30% (G:0.35% B:0.00%)  

3.  XG Roller++  6/3 4/2  eq: +0.678 (0.037) 
 Player: Opponent:  73.03% (G:1.92% B:0.04%) 26.97% (G:0.82% B:0.01%)  

4.  XG Roller++  10/8 4/1*  eq: +0.664 (0.052) 
 Player: Opponent:  77.45% (G:4.65% B:0.10%) 22.55% (G:3.89% B:0.07%)  

5.  XG Roller++  10/5  eq: +0.634 (0.082) 
 Player: Opponent:  72.27% (G:1.99% B:0.04%) 27.73% (G:0.41% B:0.00%)  



66: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  9.54% (G:0.27% B:0.00%) 90.46% (G:2.85% B:0.04%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
90.54% (G:2.56% B:0.04%) 
90.96% (G:2.04% B:0.03%) 
Opponent Winning Chances: 
9.46% (G:0.24% B:0.00%) 
9.04% (G:0.23% B:0.00%) 
Cubeless Equities 
+0.845 
+2.034 
Cubeful Equities 
No double:  +0.919 (0.081)  
Double/Take:  +1.904 (+0.904)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


62: 10/2 


1.  XG Roller++  10/2  eq: +0.705 
 Player: Opponent:  79.31% (G:4.10% B:0.08%) 20.69% (G:1.98% B:0.03%)  

2.  XG Roller++  10/8 10/4  eq: +0.699 (0.005) 
 Player: Opponent:  78.55% (G:4.08% B:0.08%) 21.45% (G:1.54% B:0.02%)  

3.  XG Roller++  10/4 6/4  eq: +0.681 (0.023) 
 Player: Opponent:  75.31% (G:3.41% B:0.07%) 24.69% (G:2.06% B:0.03%)  

4.  3ply  10/4 3/1  eq: +0.401 (0.304) 
 Player: Opponent:  64.72% (G:1.91% B:0.03%) 35.28% (G:4.13% B:0.07%)  

5.  1ply  10/4 5/3  eq: 0.468 (1.173) 
 Player: Opponent:  45.73% (G:1.04% B:0.02%) 54.27% (G:18.11% B:0.14%)  



62: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  7.78% (G:0.01% B:0.00%) 92.22% (G:2.37% B:0.03%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
92.58% (G:2.40% B:0.03%) 
92.90% (G:1.79% B:0.02%) 
Opponent Winning Chances: 
7.42% (G:0.01% B:0.00%) 
7.10% (G:0.01% B:0.00%) 
Cubeless Equities 
+0.886 
+2.124 
Cubeful Equities 
No double:  +0.958 (0.042)  
Double/Take:  +2.076 (+1.076)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


64: 10/Off 


1.  XG Roller++  10/Off  eq: +0.729 
 Player: Opponent:  79.13% (G:4.27% B:0.10%) 20.87% (G:0.00% B:0.00%)  

2.  XG Roller++  10/4 6/2  eq: +0.706 (0.024) 
 Player: Opponent:  76.90% (G:3.07% B:0.06%) 23.10% (G:0.32% B:0.00%)  

3.  2ply  10/4 5/1  eq: +0.390 (0.339) 
 Player: Opponent:  66.18% (G:1.30% B:0.01%) 33.82% (G:0.67% B:0.01%)  



44: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  8.26% (G:0.00% B:0.00%) 91.74% (G:2.64% B:0.03%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
91.66% (G:2.81% B:0.04%) 
91.84% (G:2.24% B:0.03%) 
Opponent Winning Chances: 
8.34% (G:0.00% B:0.00%) 
8.16% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.873 
+2.079 
Cubeful Equities 
No double:  +0.902 (0.098)  
Double/Take:  +1.998 (+0.998)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


62: 6/Off 2/Off 


1.  XG Roller++  6/Off 2/Off  eq: +0.745 
 Player: Opponent:  79.79% (G:4.92% B:0.16%) 20.21% (G:0.00% B:0.00%)  

2.  XG Roller++  6/Off 4/2  eq: +0.732 (0.014) 
 Player: Opponent:  79.13% (G:3.55% B:0.09%) 20.87% (G:0.00% B:0.00%)  

3.  2ply  6/Off 3/1  eq: +0.453 (0.293) 
 Player: Opponent:  66.66% (G:1.95% B:0.03%) 33.34% (G:0.00% B:0.00%)  

4.  1ply  6/Off 5/3  eq: 0.084 (0.829) 
 Player: Opponent:  46.56% (G:1.27% B:0.02%) 53.44% (G:0.00% B:0.00%)  

5.  1ply  6/4 6/Off  eq: 0.095 (0.840) 
 Player: Opponent:  46.15% (G:1.46% B:0.03%) 53.85% (G:0.00% B:0.00%)  



63: Cannot Move 


1.  3ply  Cannot Move  eq: 1.000 
 Player: Opponent:  9.17% (G:0.00% B:0.00%) 90.83% (G:3.84% B:0.09%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
90.94% (G:4.15% B:0.25%) 
90.88% (G:4.16% B:0.20%) 
Opponent Winning Chances: 
9.06% (G:0.00% B:0.00%) 
9.12% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.878 
+2.038 
Cubeful Equities 
No double:  +0.902 (0.098)  
Double/Take:  +1.927 (+0.927)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


33: 6/3 6/Off 4/1 


1.  XG Roller++  6/3 6/Off 4/1  eq: +1.058 
 Player: Opponent:  99.07% (G:4.75% B:0.09%) 0.93% (G:0.00% B:0.00%)  

2.  XG Roller++  5/2(2) 4/1 3/Off  eq: +0.435 (0.623) 
 Player: Opponent:  68.80% (G:1.81% B:0.02%) 31.20% (G:0.00% B:0.00%)  

3.  2ply  6/Off(2)  eq: +0.676 (0.382) 
 Player: Opponent:  79.14% (G:4.79% B:0.17%) 20.86% (G:0.00% B:0.00%)  

4.  2ply  5/2(2) 3/Off(2)  eq: +0.585 (0.472) 
 Player: Opponent:  75.91% (G:2.57% B:0.06%) 24.09% (G:0.00% B:0.00%)  

5.  2ply  6/3(2) 5/2(2)  eq: +0.512 (0.545) 
 Player: Opponent:  75.27% (G:1.37% B:0.02%) 24.73% (G:0.00% B:0.00%)  



44: Cannot Move 


1.  3ply  Cannot Move  eq: 1.095 
 Player: Opponent:  0.98% (G:0.00% B:0.00%) 99.02% (G:6.69% B:0.14%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
98.75% (G:6.77% B:0.17%) 
98.98% (G:11.82% B:0.12%) 
Opponent Winning Chances: 
1.25% (G:0.00% B:0.00%) 
1.02% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.072 
+2.385 
Cubeful Equities 
No double:  +1.087  
Double/Take:  +2.526 (+1.439)  
Double/Pass:  +1.000 (0.087) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 5.7% 


61: 5/4 5/Off 


1.  XG Roller++  5/4 5/Off  eq: +1.086 
 Player: Opponent:  98.59% (G:8.04% B:0.20%) 1.41% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 3/2  eq: +0.495 (0.591) 
 Player: Opponent:  74.22% (G:6.28% B:0.16%) 25.78% (G:0.00% B:0.00%)  

3.  1ply  5/Off 1/Off  eq: +0.178 (0.908) 
 Player: Opponent:  54.86% (G:3.52% B:0.07%) 45.14% (G:0.00% B:0.00%)  

4.  1ply  5/Off 4/3  eq: +0.099 (0.987) 
 Player: Opponent:  52.45% (G:2.19% B:0.02%) 47.55% (G:0.00% B:0.00%)  

5.  1ply  5/Off 2/1  eq: +0.061 (1.025) 
 Player: Opponent:  51.25% (G:1.92% B:0.02%) 48.75% (G:0.00% B:0.00%)  



33: Cannot Move 


1.  3ply  Cannot Move  eq: 1.174 
 Player: Opponent:  3.18% (G:0.00% B:0.00%) 96.82% (G:14.88% B:0.39%)  



No double 


Analyzed in XG Roller++ 
No double 
Double/Take 
Player Winning Chances: 
96.77% (G:15.26% B:0.41%) 
97.03% (G:21.29% B:0.31%) 
Opponent Winning Chances: 
3.23% (G:0.00% B:0.00%) 
2.97% (G:0.00% B:0.00%) 
Cubeless Equities 
+1.153 
+2.301 
Cubeful Equities 
No double:  +1.178  
Double/Take:  +2.382 (+1.204)  
Double/Pass:  +1.000 (0.178) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 12.8% 


66: 4/Off(3) 3/Off 


1.  3ply  4/Off(3) 3/Off  eq: +1.750 
 Player: Opponent:  99.98% (G:46.86% B:1.80%) 0.02% (G:0.00% B:0.00%)  



55: Bar/5 


1.  XG Roller++  Bar/5  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  XG Roller++  Bar/10 6/1  eq: 1.069 (0.069) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:4.31% B:0.00%)  

3.  2ply  Bar/15 6/1(2)  eq: 1.426 (0.426) 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:26.62% B:0.00%)  



51: 3/Off 1/Off 


1.  XG Roller++  3/Off 1/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  

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

3.  XG Roller++  3/2 3/Off  eq: +1.000 
 Player: Opponent:  100.00% (G:0.00% B:0.00%) 0.00% (G:0.00% B:0.00%)  



52: ???? 


1.  XG Roller++  5/Off 2/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  XG Roller++  5/Off 3/1  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

3.  XG Roller++  5/Off 4/2  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

4.  XG Roller++  5/3 5/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

5.  XG Roller++  6/1 2/Off  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



Resigns a Single Game 1pt. 



