41: 24/23 13/9 

XGID=bECeEceB:0:0:1:41:0:0:0:11:3 
Pip=167167 



1.  Book^{1}  24/23 13/9  eq: +0.000 
 Player: Opponent:  49.74% (G:13.62% B:0.56%) 50.26% (G:13.22% B:0.55%)  

2.  Book^{1}  13/9 6/5  eq: 0.038 (0.039) 
 Player: Opponent:  49.22% (G:13.51% B:0.56%) 50.78% (G:14.34% B:0.90%)  

3.  Book^{1}  24/23 24/20  eq: 0.043 (0.043) 
 Player: Opponent:  48.83% (G:12.25% B:0.55%) 51.17% (G:13.13% B:0.48%)  

4.  Book^{1}  13/8  eq: 0.051 (0.051) 
 Player: Opponent:  48.77% (G:13.21% B:0.61%) 51.23% (G:14.09% B:0.62%)  

5.  Book^{1}  24/20 6/5  eq: 0.064 (0.064) 
 Player: Opponent:  48.70% (G:12.26% B:0.48%) 51.30% (G:14.03% B:0.65%)  


^{1} Generated by GameSite 2000, Ltd on 5/21/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



51: 24/23 13/8 

XGID=bECAeDceAA:0:0:1:51:0:0:0:11:3 
Pip=162167 



1.  4ply  24/23 13/8  eq: 0.146 
 Player: Opponent:  46.68% (G:11.55% B:0.44%) 53.32% (G:15.26% B:0.60%)  

2.  4ply  24/23 6/1*  eq: 0.192 (0.046) 
 Player: Opponent:  45.48% (G:11.17% B:0.39%) 54.52% (G:15.42% B:0.73%)  

3.  4ply  24/18  eq: 0.193 (0.047) 
 Player: Opponent:  46.14% (G:10.33% B:0.43%) 53.86% (G:16.57% B:0.56%)  

4.  4ply  13/8 6/5  eq: 0.212 (0.066) 
 Player: Opponent:  45.23% (G:11.09% B:0.45%) 54.77% (G:16.23% B:1.01%)  

5.  3ply  13/7  eq: 0.266 (0.120) 
 Player: Opponent:  43.60% (G:10.88% B:0.46%) 56.40% (G:16.53% B:1.04%)  



41: 9/5 6/5 

XGID=aaECAdDdeAA:0:0:1:41:0:0:0:11:3 
Pip=162161 



1.  3ply  9/5 6/5  eq: +0.238 
 Player: Opponent:  55.75% (G:16.31% B:0.63%) 44.25% (G:10.98% B:0.37%)  

2.  3ply  23/22 13/9  eq: +0.050 (0.188) 
 Player: Opponent:  51.59% (G:12.75% B:0.51%) 48.41% (G:12.55% B:0.40%)  

3.  3ply  24/23 13/9  eq: +0.015 (0.223) 
 Player: Opponent:  49.86% (G:13.51% B:0.53%) 50.14% (G:11.99% B:0.41%)  

4.  3ply  6/2* 2/1*  eq: 0.009 (0.247) 
 Player: Opponent:  49.47% (G:14.62% B:0.46%) 50.53% (G:13.74% B:0.67%)  

5.  2ply  13/9 6/5  eq: 0.028 (0.266) 
 Player: Opponent:  49.78% (G:12.62% B:0.50%) 50.22% (G:14.25% B:0.70%)  



64: 8/2* 6/2 

XGID=aaBDCdDdeAA:0:0:1:64:0:0:0:11:3 
Pip=157161 



1.  3ply  8/2* 6/2  eq: 0.204 
 Player: Opponent:  44.58% (G:12.61% B:0.47%) 55.42% (G:15.66% B:0.70%)  

2.  3ply  24/14  eq: 0.441 (0.237) 
 Player: Opponent:  40.54% (G:8.40% B:0.32%) 59.46% (G:20.41% B:0.63%)  

3.  2ply  24/18 6/2*  eq: 0.523 (0.319) 
 Player: Opponent:  38.43% (G:8.27% B:0.29%) 61.57% (G:22.37% B:1.10%)  

4.  2ply  24/18 13/9  eq: 0.527 (0.323) 
 Player: Opponent:  38.17% (G:8.58% B:0.36%) 61.83% (G:22.89% B:1.15%)  

5.  2ply  13/9 8/2*  eq: 0.551 (0.348) 
 Player: Opponent:  37.36% (G:9.18% B:0.37%) 62.64% (G:22.59% B:1.62%)  



43: Bar/21 24/21 

XGID=aaBDCdDcdbAA:0:0:1:43:0:0:0:11:3 
Pip=159151 



1.  3ply  Bar/21 24/21  eq: +0.405 
 Player: Opponent:  59.78% (G:16.49% B:0.58%) 40.22% (G:7.26% B:0.18%)  

2.  3ply  Bar/21 8/5  eq: +0.172 (0.233) 
 Player: Opponent:  54.59% (G:16.34% B:0.72%) 45.41% (G:13.63% B:0.45%)  

3.  3ply  Bar/22 24/20  eq: +0.161 (0.244) 
 Player: Opponent:  54.81% (G:14.87% B:0.67%) 45.19% (G:13.63% B:0.37%)  

4.  2ply  Bar/22 13/9  eq: +0.148 (0.257) 
 Player: Opponent:  54.17% (G:16.12% B:0.81%) 45.83% (G:14.34% B:0.64%)  

5.  2ply  Bar/21 13/10  eq: +0.145 (0.261) 
 Player: Opponent:  54.10% (G:15.65% B:0.78%) 45.90% (G:13.99% B:0.64%)  



31: 8/5 6/5 

XGID=aaBDCdDcdBb:0:0:1:31:0:0:0:11:3 
Pip=152151 



1.  3ply  8/5 6/5  eq: 0.332 
 Player: Opponent:  42.29% (G:8.24% B:0.26%) 57.71% (G:15.70% B:0.58%)  

2.  3ply  24/21 23/22  eq: 0.517 (0.184) 
 Player: Opponent:  38.29% (G:7.80% B:0.23%) 61.71% (G:19.55% B:0.60%)  

3.  3ply  23/22 6/3  eq: 0.553 (0.221) 
 Player: Opponent:  37.32% (G:8.22% B:0.25%) 62.68% (G:20.46% B:0.80%)  

4.  2ply  23/22 8/5  eq: 0.580 (0.248) 
 Player: Opponent:  36.14% (G:8.33% B:0.26%) 63.86% (G:21.88% B:1.12%)  

5.  2ply  24/23 8/5  eq: 0.583 (0.250) 
 Player: Opponent:  34.56% (G:7.18% B:0.20%) 65.44% (G:16.87% B:0.68%)  



No double 

XGID=aaBDCdDbcbBb:0:0:1:00:0:0:0:11:3 
Pip=152147 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
58.00% (G:16.17% B:0.57%) 
57.99% (G:16.18% B:0.57%) 
Opponent Winning Chances: 
42.00% (G:8.16% B:0.23%) 
42.01% (G:8.16% B:0.23%) 
Cubeless Equities 
+0.245 
+0.498 
Cubeful Equities 
No double:  +0.347  
Double/Take:  +0.185 (0.162)  
Double/Pass:  +1.000 (+0.653) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 16.5% 


64: 8/2* 6/2 

XGID=aaBDCdDbcbBb:0:0:1:64:0:0:0:11:3 
Pip=152147 



1.  3ply  8/2* 6/2  eq: +0.383 
 Player: Opponent:  58.34% (G:19.73% B:0.68%) 41.66% (G:8.62% B:0.29%)  

2.  2ply  13/3  eq: +0.025 (0.359) 
 Player: Opponent:  49.82% (G:13.20% B:0.46%) 50.18% (G:10.80% B:0.33%)  

3.  2ply  13/9 8/2*  eq: +0.019 (0.364) 
 Player: Opponent:  50.03% (G:14.49% B:0.54%) 49.97% (G:12.96% B:0.52%)  

4.  2ply  21/11  eq: 0.015 (0.398) 
 Player: Opponent:  51.31% (G:11.97% B:0.64%) 48.69% (G:16.73% B:0.48%)  

5.  2ply  13/7 6/2*  eq: 0.042 (0.425) 
 Player: Opponent:  49.02% (G:13.42% B:0.45%) 50.98% (G:14.40% B:0.54%)  



22: Cannot Move 

XGID=aaBBCBdDbcbBb:0:0:1:22:0:0:0:11:3 
Pip=142149 



1.  4ply  Cannot Move  eq: 0.607 
 Player: Opponent:  37.72% (G:8.24% B:0.30%) 62.28% (G:25.94% B:0.85%)  



No double 

XGID=aaBBCBdDbcbBb:0:0:1:00:0:0:0:11:3 
Pip=142149 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
62.28% (G:25.94% B:0.85%) 
62.29% (G:25.92% B:0.86%) 
Opponent Winning Chances: 
37.72% (G:8.24% B:0.30%) 
37.71% (G:8.24% B:0.30%) 
Cubeless Equities 
+0.432 
+0.880 
Cubeful Equities 
No double:  +0.607  
Double/Take:  +0.587 (0.020)  
Double/Pass:  +1.000 (+0.393) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 4.7% 


64: 21/11 

XGID=aaBBCBdDbcbBb:0:0:1:64:0:0:0:11:3 
Pip=142149 



1.  XG Roller+  21/11  eq: +0.521 (+0.007) 
 Player: Opponent:  62.65% (G:17.30% B:0.81%) 37.35% (G:10.22% B:0.30%)  

2.  XG Roller+  13/9 13/7  eq: +0.514 
 Player: Opponent:  60.00% (G:24.24% B:0.87%) 40.00% (G:9.57% B:0.39%)  

3.  3ply  13/3  eq: +0.389 (0.125) 
 Player: Opponent:  56.88% (G:21.41% B:0.80%) 43.12% (G:9.56% B:0.34%)  

4.  3ply  21/15 13/9  eq: +0.323 (0.191) 
 Player: Opponent:  57.64% (G:20.39% B:1.14%) 42.36% (G:14.98% B:0.76%)  

5.  2ply  13/9 8/2  eq: +0.239 (0.275) 
 Player: Opponent:  54.13% (G:19.29% B:0.74%) 45.87% (G:10.52% B:0.42%)  



33: Bar/22 13/4* 

XGID=aaBBCBAdDbcbAb:0:0:1:33:0:0:0:11:3 
Pip=132149 



1.  4ply  Bar/22 13/4*  eq: 0.114 
 Player: Opponent:  46.48% (G:16.71% B:0.39%) 53.52% (G:16.35% B:0.94%)  

2.  4ply  Bar/22 24/21 13/10(2)  eq: 0.211 (0.096) 
 Player: Opponent:  44.92% (G:16.36% B:0.83%) 55.08% (G:21.60% B:0.78%)  

3.  3ply  Bar/22 13/10(2) 6/3  eq: 0.295 (0.181) 
 Player: Opponent:  42.92% (G:15.39% B:0.69%) 57.08% (G:21.88% B:1.05%)  

4.  2ply  Bar/22 13/10(2) 8/5  eq: 0.438 (0.324) 
 Player: Opponent:  39.29% (G:13.92% B:0.60%) 60.71% (G:23.53% B:1.35%)  

5.  2ply  Bar/22 24/21 8/5(2)  eq: 0.463 (0.349) 
 Player: Opponent:  38.57% (G:10.83% B:0.44%) 61.43% (G:21.33% B:0.64%)  



63: Bar/16 

XGID=aBaBCBAcDbcbabA:0:0:1:63:0:0:0:11:3 
Pip=136137 



1.  4ply  Bar/16  eq: +0.098 
 Player: Opponent:  54.49% (G:10.69% B:0.50%) 45.51% (G:14.52% B:0.35%)  

2.  4ply  Bar/22 11/5  eq: +0.004 (0.095) 
 Player: Opponent:  51.24% (G:14.38% B:0.80%) 48.76% (G:16.90% B:0.33%)  

3.  1ply  Bar/22 13/7  eq: 0.405 (0.503) 
 Player: Opponent:  42.69% (G:13.96% B:0.95%) 57.31% (G:28.97% B:1.76%)  

4.  1ply  Bar/22 8/2  eq: 0.575 (0.673) 
 Player: Opponent:  38.27% (G:11.69% B:0.60%) 61.73% (G:29.50% B:1.66%)  



51: 8/3 4/3 

XGID=aBaBCBAcDAbcbab:0:0:1:51:0:0:0:11:3 
Pip=127137 



1.  4ply  8/3 4/3  eq: 0.457 
 Player: Opponent:  36.18% (G:6.76% B:0.11%) 63.82% (G:10.19% B:0.27%)  

2.  4ply  13/7  eq: 0.540 (0.083) 
 Player: Opponent:  34.98% (G:7.22% B:0.22%) 65.02% (G:14.31% B:0.60%)  

3.  4ply  13/8 6/5  eq: 0.554 (0.097) 
 Player: Opponent:  34.33% (G:6.16% B:0.15%) 65.67% (G:12.78% B:0.41%)  

4.  4ply  8/7 8/3  eq: 0.562 (0.105) 
 Player: Opponent:  34.81% (G:8.24% B:0.27%) 65.19% (G:16.79% B:0.83%)  

5.  4ply  13/8 5/4  eq: 0.562 (0.106) 
 Player: Opponent:  33.96% (G:5.92% B:0.14%) 66.04% (G:12.45% B:0.37%)  



No double 

XGID=aBaBCBAcDAacbbb:0:0:1:00:0:0:0:11:3 
Pip=127131 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
63.82% (G:10.19% B:0.27%) 
63.82% (G:10.19% B:0.27%) 
Opponent Winning Chances: 
36.18% (G:6.76% B:0.11%) 
36.18% (G:6.76% B:0.11%) 
Cubeless Equities 
+0.313 
+0.633 
Cubeful Equities 
No double:  +0.457  
Double/Take:  +0.376 (0.081)  
Double/Pass:  +1.000 (+0.543) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 11.5% 


42: 16/10 

XGID=aBaBCBAcDAacbbb:0:0:1:42:0:0:0:11:3 
Pip=127131 



1.  XG Roller+  13/9 11/9  eq: +0.347 
 Player: Opponent:  60.43% (G:11.67% B:0.49%) 39.57% (G:11.77% B:0.22%)  

2.  XG Roller+  16/10  eq: +0.165 (0.182) 
 Player: Opponent:  56.14% (G:8.27% B:0.28%) 43.86% (G:13.11% B:0.24%)  

3.  3ply  11/5  eq: +0.055 (0.292) 
 Player: Opponent:  54.26% (G:9.24% B:0.37%) 45.74% (G:13.59% B:0.17%)  

4.  2ply  13/11 6/2  eq: 0.084 (0.430) 
 Player: Opponent:  50.44% (G:7.54% B:0.28%) 49.56% (G:15.67% B:0.21%)  

5.  1ply  16/14 6/2  eq: 0.268 (0.614) 
 Player: Opponent:  46.04% (G:7.18% B:0.25%) 53.96% (G:19.61% B:0.40%)  



21: 24/22 8/7 

XGID=aBaBCBAAcDacbbb:0:0:1:21:0:0:0:11:3 
Pip=121131 



1.  4ply  24/22 6/5  eq: 0.521 (+0.000) 
 Player: Opponent:  33.20% (G:3.37% B:0.04%) 66.80% (G:4.18% B:0.08%)  

2.  4ply  24/22 8/7  eq: 0.521 
 Player: Opponent:  33.17% (G:3.37% B:0.04%) 66.83% (G:4.15% B:0.08%)  

3.  4ply  24/22 5/4  eq: 0.566 (0.045) 
 Player: Opponent:  31.89% (G:2.83% B:0.04%) 68.11% (G:3.97% B:0.07%)  

4.  4ply  24/22 2/1  eq: 0.638 (0.117) 
 Player: Opponent:  30.37% (G:2.69% B:0.02%) 69.63% (G:4.61% B:0.10%)  

5.  4ply  24/22 3/2  eq: 0.646 (0.124) 
 Player: Opponent:  30.51% (G:2.83% B:0.03%) 69.49% (G:5.54% B:0.17%)  



No double 

XGID=BbBCBAAcDacbbb:0:0:1:00:0:0:0:11:3 
Pip=121128 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
66.83% (G:4.15% B:0.08%) 
66.82% (G:4.14% B:0.08%) 
Opponent Winning Chances: 
33.17% (G:3.37% B:0.04%) 
33.18% (G:3.37% B:0.04%) 
Cubeless Equities 
+0.345 
+0.696 
Cubeful Equities 
No double:  +0.521  
Double/Take:  +0.461 (0.061)  
Double/Pass:  +1.000 (+0.479) 

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


22: 13/9 11/9 10/8 

XGID=BbBCBAAcDacbbb:0:0:1:22:0:0:0:11:3 
Pip=121128 



1.  4ply  13/9 11/9 10/8  eq: +0.611 
 Player: Opponent:  69.08% (G:3.77% B:0.07%) 30.92% (G:2.35% B:0.03%)  

2.  4ply  10/4 6/4  eq: +0.578 (0.034) 
 Player: Opponent:  67.30% (G:4.97% B:0.15%) 32.70% (G:3.52% B:0.05%)  

3.  4ply  13/9(2)  eq: +0.534 (0.077) 
 Player: Opponent:  66.51% (G:5.35% B:0.16%) 33.49% (G:5.62% B:0.11%)  

4.  4ply  11/5 10/8  eq: +0.491 (0.120) 
 Player: Opponent:  65.60% (G:3.41% B:0.06%) 34.40% (G:2.29% B:0.03%)  

5.  3ply  13/11(2) 10/6  eq: +0.462 (0.149) 
 Player: Opponent:  65.31% (G:3.53% B:0.05%) 34.69% (G:2.84% B:0.04%)  



41: 13/8 

XGID=BbBCCBcCacbbb:0:0:1:41:0:0:0:11:3 
Pip=113128 



1.  4ply  13/9 5/4  eq: 0.628 (+0.005) 
 Player: Opponent:  30.48% (G:3.12% B:0.04%) 69.52% (G:4.56% B:0.13%)  

2.  4ply  13/8  eq: 0.633 
 Player: Opponent:  30.20% (G:2.79% B:0.03%) 69.80% (G:4.01% B:0.06%)  

3.  4ply  13/9 6/5  eq: 0.636 (0.003) 
 Player: Opponent:  30.12% (G:2.72% B:0.03%) 69.88% (G:3.96% B:0.06%)  

4.  4ply  13/9 7/6  eq: 0.652 (0.019) 
 Player: Opponent:  29.79% (G:2.65% B:0.03%) 70.21% (G:3.99% B:0.06%)  

5.  4ply  6/1  eq: 0.681 (0.049) 
 Player: Opponent:  29.29% (G:2.72% B:0.02%) 70.71% (G:4.59% B:0.09%)  



Double/Take 

XGID=BbBCCBbCaacbbb:0:0:1:00:0:0:0:11:3 
Pip=113123 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
69.71% (G:4.12% B:0.13%) 
69.66% (G:4.11% B:0.13%) 
Opponent Winning Chances: 
30.29% (G:2.91% B:0.04%) 
30.34% (G:2.91% B:0.04%) 
Cubeless Equities 
+0.407 
+0.820 
Cubeful Equities 
No double:  +0.657  
Double/Take:  +0.619 (0.038)  
Double/Pass:  +1.000 (+0.343) 

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


21: 8/5 

XGID=BbBCCBbCaacbbb:1:1:1:21:0:0:0:11:3 
Pip=113123 



1.  4ply  13/11 6/5  eq: +0.269 (+0.001) 
 Player: Opponent:  68.38% (G:3.98% B:0.08%) 31.62% (G:2.98% B:0.03%)  

2.  4ply  13/11 2/1  eq: +0.268 
 Player: Opponent:  68.38% (G:4.08% B:0.06%) 31.62% (G:3.42% B:0.04%)  

3.  4ply  8/5  eq: +0.266 (0.001) 
 Player: Opponent:  68.12% (G:4.26% B:0.09%) 31.88% (G:2.91% B:0.03%)  

4.  4ply  13/10  eq: +0.238 (0.029) 
 Player: Opponent:  67.36% (G:5.17% B:0.18%) 32.64% (G:4.35% B:0.06%)  

5.  4ply  8/6 2/1  eq: +0.226 (0.042) 
 Player: Opponent:  66.57% (G:4.45% B:0.08%) 33.43% (G:3.54% B:0.04%)  



42: 8/4 6/4 

XGID=BbCCBBbCaacbbb:1:1:1:42:0:0:0:11:3 
Pip=110123 



1.  4ply  8/4 6/4  eq: 0.228 
 Player: Opponent:  32.98% (G:3.53% B:0.04%) 67.02% (G:3.44% B:0.05%)  

2.  4ply  8/4 7/5  eq: 0.253 (0.025) 
 Player: Opponent:  32.19% (G:3.40% B:0.04%) 67.81% (G:4.11% B:0.07%)  

3.  4ply  13/11 13/9  eq: 0.281 (0.053) 
 Player: Opponent:  31.09% (G:2.93% B:0.05%) 68.91% (G:3.91% B:0.10%)  

4.  4ply  7/1  eq: 0.294 (0.066) 
 Player: Opponent:  30.78% (G:3.12% B:0.03%) 69.22% (G:4.73% B:0.09%)  

5.  4ply  7/3 6/4  eq: 0.294 (0.066) 
 Player: Opponent:  30.80% (G:3.08% B:0.03%) 69.20% (G:4.73% B:0.10%)  



21: 6/4 5/4 

XGID=BbCCBBbCabbbbb:1:1:1:21:0:0:0:11:3 
Pip=110117 



1.  3ply  6/4 5/4  eq: +0.346 
 Player: Opponent:  71.24% (G:4.00% B:0.05%) 28.76% (G:1.98% B:0.02%)  

2.  3ply  13/11 2/1  eq: +0.201 (0.144) 
 Player: Opponent:  65.72% (G:4.36% B:0.06%) 34.28% (G:4.36% B:0.05%)  

3.  3ply  13/11 6/5  eq: +0.167 (0.179) 
 Player: Opponent:  64.54% (G:3.42% B:0.05%) 35.46% (G:4.09% B:0.04%)  

4.  3ply  5/2  eq: +0.139 (0.206) 
 Player: Opponent:  63.63% (G:3.27% B:0.04%) 36.37% (G:4.06% B:0.03%)  

5.  3ply  13/10  eq: +0.109 (0.237) 
 Player: Opponent:  62.66% (G:4.08% B:0.08%) 37.34% (G:6.51% B:0.07%)  



52: 13/11 13/8 

XGID=BbBBBBBbCabbbbb:1:1:1:52:0:0:0:11:3 
Pip=107117 



1.  4ply  13/11 13/8  eq: 0.368 
 Player: Opponent:  27.87% (G:1.83% B:0.02%) 72.13% (G:3.90% B:0.05%)  

2.  4ply  6/1 3/1  eq: 0.410 (0.042) 
 Player: Opponent:  26.56% (G:1.71% B:0.01%) 73.44% (G:4.97% B:0.09%)  

3.  4ply  6/4 6/1  eq: 0.413 (0.045) 
 Player: Opponent:  26.50% (G:1.63% B:0.01%) 73.50% (G:5.10% B:0.10%)  

4.  4ply  7/5 6/1  eq: 0.414 (0.047) 
 Player: Opponent:  26.44% (G:1.63% B:0.01%) 73.56% (G:5.09% B:0.09%)  

5.  4ply  7/2 6/4  eq: 0.419 (0.051) 
 Player: Opponent:  26.33% (G:1.57% B:0.01%) 73.67% (G:5.25% B:0.10%)  



51: 13/8 2/1 

XGID=BbBBBBBCaaabbbbb:1:1:1:51:0:0:0:11:3 
Pip=107110 



1.  4ply  13/8 2/1  eq: +0.337 
 Player: Opponent:  70.81% (G:4.17% B:0.06%) 29.19% (G:2.24% B:0.02%)  

2.  4ply  13/12 13/8  eq: +0.267 (0.070) 
 Player: Opponent:  68.47% (G:4.24% B:0.13%) 31.53% (G:4.56% B:0.07%)  

3.  4ply  9/8 9/4  eq: +0.222 (0.115) 
 Player: Opponent:  66.18% (G:3.48% B:0.05%) 33.82% (G:2.05% B:0.01%)  

4.  3ply  6/5 6/1  eq: +0.095 (0.242) 
 Player: Opponent:  61.77% (G:3.65% B:0.05%) 38.23% (G:4.53% B:0.03%)  

5.  2ply  13/7  eq: +0.034 (0.302) 
 Player: Opponent:  60.87% (G:5.29% B:0.25%) 39.13% (G:11.00% B:0.07%)  



21: 11/10 8/6 

XGID=AAbBBBCBBaaabbbbb:1:1:1:21:0:0:0:11:3 
Pip=101110 



1.  4ply  11/10 8/6  eq: 0.397 
 Player: Opponent:  26.51% (G:1.75% B:0.02%) 73.49% (G:3.47% B:0.04%)  

2.  4ply  8/5  eq: 0.401 (0.003) 
 Player: Opponent:  26.36% (G:1.81% B:0.02%) 73.64% (G:3.44% B:0.04%)  

3.  4ply  11/9 8/7  eq: 0.401 (0.003) 
 Player: Opponent:  26.49% (G:1.69% B:0.02%) 73.51% (G:3.51% B:0.04%)  

4.  4ply  8/6 7/6  eq: 0.401 (0.004) 
 Player: Opponent:  26.29% (G:1.67% B:0.01%) 73.71% (G:3.43% B:0.04%)  

5.  4ply  7/4  eq: 0.405 (0.008) 
 Player: Opponent:  26.16% (G:1.76% B:0.02%) 73.84% (G:3.52% B:0.04%)  



63: 13/4 

XGID=AAbBBBCBBaacbbbb:1:1:1:63:0:0:0:11:3 
Pip=101107 



1.  4ply  13/4  eq: +0.352 
 Player: Opponent:  71.59% (G:3.22% B:0.04%) 28.41% (G:2.25% B:0.03%)  

2.  4ply  13/10 8/2  eq: +0.272 (0.080) 
 Player: Opponent:  68.82% (G:3.79% B:0.08%) 31.18% (G:4.82% B:0.12%)  

3.  2ply  13/10 13/7  eq: 0.019 (0.371) 
 Player: Opponent:  59.68% (G:3.60% B:0.09%) 40.32% (G:14.85% B:0.33%)  

4.  2ply  13/7 8/5  eq: 0.042 (0.394) 
 Player: Opponent:  58.52% (G:3.72% B:0.09%) 41.48% (G:15.07% B:0.39%)  

5.  1ply  8/2 4/1  eq: 0.149 (0.500) 
 Player: Opponent:  54.68% (G:4.88% B:0.06%) 45.32% (G:14.01% B:0.10%)  



32: 10/5 

XGID=AAbCBBCBAaacbbbb:1:1:1:32:0:0:0:11:3 
Pip=92107 



1.  4ply  10/7 6/4  eq: 0.445 
 Player: Opponent:  24.57% (G:1.19% B:0.01%) 75.43% (G:3.04% B:0.03%)  

2.  4ply  10/5  eq: 0.450 (0.004) 
 Player: Opponent:  24.34% (G:1.15% B:0.01%) 75.66% (G:3.02% B:0.03%)  

3.  4ply  6/1  eq: 0.453 (0.008) 
 Player: Opponent:  24.30% (G:1.18% B:0.01%) 75.70% (G:3.25% B:0.05%)  

4.  4ply  10/8 6/3  eq: 0.459 (0.013) 
 Player: Opponent:  24.05% (G:1.12% B:0.01%) 75.95% (G:3.23% B:0.03%)  

5.  4ply  7/5 6/3  eq: 0.460 (0.014) 
 Player: Opponent:  23.97% (G:1.07% B:0.01%) 76.03% (G:3.14% B:0.03%)  



61: 13/7 8/7 

XGID=AAbCBBCBAaccbbb:1:1:1:61:0:0:0:11:3 
Pip=92102 



1.  4ply  13/7 8/7  eq: +0.575 
 Player: Opponent:  80.75% (G:3.16% B:0.03%) 19.25% (G:0.54% B:0.00%)  

2.  4ply  13/6  eq: +0.505 (0.071) 
 Player: Opponent:  77.83% (G:2.92% B:0.03%) 22.17% (G:0.69% B:0.01%)  

3.  3ply  13/12 8/2  eq: +0.405 (0.170) 
 Player: Opponent:  73.87% (G:3.57% B:0.04%) 26.13% (G:1.81% B:0.02%)  

4.  3ply  8/1  eq: +0.387 (0.188) 
 Player: Opponent:  73.15% (G:3.53% B:0.04%) 26.85% (G:1.91% B:0.03%)  

5.  1ply  13/7 2/1  eq: +0.061 (0.515) 
 Player: Opponent:  60.86% (G:4.10% B:0.04%) 39.14% (G:6.35% B:0.03%)  



63: 7/1 5/2 

XGID=AAbCBBBBBaccbbb:1:1:1:63:0:0:0:11:3 
Pip=85102 



1.  4ply  7/1 6/3  eq: 0.569 
 Player: Opponent:  19.53% (G:0.51% B:0.00%) 80.47% (G:3.17% B:0.03%)  

2.  4ply  7/1 5/2  eq: 0.571 (0.002) 
 Player: Opponent:  19.47% (G:0.52% B:0.00%) 80.53% (G:3.26% B:0.03%)  

3.  4ply  7/1 4/1  eq: 0.574 (0.005) 
 Player: Opponent:  19.36% (G:0.53% B:0.00%) 80.64% (G:3.24% B:0.03%)  



61: 7/6 7/1 

XGID=AAbCBBBBBcbbbca:1:1:1:61:0:0:0:11:3 
Pip=8593 



1.  XG Roller+  8/7 8/2  eq: +0.542 
 Player: Opponent:  78.98% (G:3.23% B:0.04%) 21.02% (G:0.49% B:0.00%)  

2.  XG Roller+  7/6 7/1  eq: +0.539 (0.003) 
 Player: Opponent:  78.60% (G:3.24% B:0.05%) 21.40% (G:0.72% B:0.01%)  

3.  2ply  9/2  eq: +0.211 (0.331) 
 Player: Opponent:  65.70% (G:4.31% B:0.12%) 34.30% (G:3.42% B:0.04%)  

4.  2ply  8/1  eq: +0.176 (0.367) 
 Player: Opponent:  64.34% (G:4.60% B:0.11%) 35.66% (G:4.53% B:0.05%)  

5.  2ply  7/1 2/1  eq: +0.069 (0.473) 
 Player: Opponent:  60.63% (G:3.43% B:0.08%) 39.37% (G:5.13% B:0.05%)  



51: 6/1 2/1 

XGID=BAbCBCBBcbbbca:1:1:1:51:0:0:0:11:3 
Pip=7893 



1.  4ply  6/1 2/1  eq: 0.532 
 Player: Opponent:  21.36% (G:0.63% B:0.00%) 78.64% (G:2.98% B:0.03%)  

2.  4ply  6/5 6/1  eq: 0.570 (0.037) 
 Player: Opponent:  19.74% (G:0.53% B:0.00%) 80.26% (G:3.72% B:0.04%)  

3.  4ply  6/1 5/4  eq: 0.588 (0.056) 
 Player: Opponent:  19.19% (G:0.50% B:0.00%) 80.81% (G:4.22% B:0.05%)  

4.  4ply  6/1 3/2  eq: 0.601 (0.068) 
 Player: Opponent:  18.71% (G:0.51% B:0.00%) 81.29% (G:4.41% B:0.05%)  

5.  4ply  6/1 4/3  eq: 0.602 (0.070) 
 Player: Opponent:  18.67% (G:0.48% B:0.00%) 81.33% (G:4.38% B:0.05%)  



63: 8/5 8/2 

XGID=BAbCBCBBbbbbbc:1:1:1:63:0:0:0:11:3 
Pip=7887 



1.  3ply  8/5 8/2  eq: +0.640 
 Player: Opponent:  83.14% (G:3.63% B:0.03%) 16.86% (G:0.22% B:0.00%)  

2.  1ply  8/2 4/1  eq: +0.002 (0.637) 
 Player: Opponent:  58.01% (G:3.75% B:0.03%) 41.99% (G:4.99% B:0.01%)  

3.  1ply  9/6 8/2  eq: 0.655 (1.295) 
 Player: Opponent:  35.12% (G:2.97% B:0.03%) 64.88% (G:16.55% B:0.13%)  

4.  1ply  8/2 5/2  eq: 0.753 (1.393) 
 Player: Opponent:  33.15% (G:2.73% B:0.03%) 66.85% (G:20.25% B:0.17%)  



64: 22/12 

XGID=BBbCCCBbbbbbc:1:1:1:64:0:0:0:11:3 
Pip=6987 



1.  3ply  22/12  eq: 0.710 
 Player: Opponent:  14.66% (G:0.19% B:0.00%) 85.34% (G:4.18% B:0.04%)  



42: 6/4 5/1 

XGID=BBaCCCBabbbbbc:1:1:1:42:0:0:0:11:3 
Pip=6977 



1.  4ply  6/4 5/1  eq: +0.426 
 Player: Opponent:  74.56% (G:0.68% B:0.01%) 25.44% (G:0.35% B:0.00%)  

2.  4ply  5/1 4/2  eq: +0.410 (0.016) 
 Player: Opponent:  73.81% (G:0.68% B:0.01%) 26.19% (G:0.49% B:0.01%)  

3.  4ply  6/2 4/2  eq: +0.406 (0.020) 
 Player: Opponent:  73.71% (G:0.67% B:0.01%) 26.29% (G:0.39% B:0.01%)  

4.  3ply  9/3*  eq: +0.262 (0.164) 
 Player: Opponent:  66.32% (G:5.37% B:0.05%) 33.68% (G:8.32% B:0.16%)  

5.  3ply  6/2 5/3*  eq: +0.256 (0.170) 
 Player: Opponent:  64.99% (G:4.00% B:0.04%) 35.01% (G:2.39% B:0.02%)  



62: 12/4 

XGID=CBaDBBBabbbbbc:1:1:1:62:0:0:0:11:3 
Pip=6377 



1.  4ply  12/4  eq: 0.438 
 Player: Opponent:  24.92% (G:0.36% B:0.00%) 75.08% (G:0.79% B:0.01%)  

2.  4ply  12/6 5/3  eq: 0.532 (0.093) 
 Player: Opponent:  20.57% (G:1.01% B:0.01%) 79.43% (G:1.39% B:0.02%)  

3.  4ply  12/6 4/2  eq: 0.545 (0.107) 
 Player: Opponent:  20.10% (G:0.98% B:0.01%) 79.90% (G:1.57% B:0.02%)  

4.  4ply  12/6 3/1  eq: 0.551 (0.113) 
 Player: Opponent:  19.70% (G:0.82% B:0.01%) 80.30% (G:1.59% B:0.02%)  



65: 9/4 9/3* 

XGID=CBaDBBBbbcbbc:1:1:1:65:0:0:0:11:3 
Pip=6369 



1.  3ply  9/4 9/3*  eq: +0.126 
 Player: Opponent:  60.30% (G:0.92% B:0.01%) 39.70% (G:0.69% B:0.01%)  

2.  1ply  9/3* 6/1  eq: 0.589 (0.714) 
 Player: Opponent:  40.39% (G:0.52% B:0.01%) 59.61% (G:21.23% B:0.12%)  



63: Bar/22* 22/16 

XGID=aCBAEBBbbcbbc:1:1:1:63:0:0:0:11:3 
Pip=5272 



1.  3ply  Bar/22* 22/16  eq: +1.004 
 Player: Opponent:  96.28% (G:2.73% B:0.03%) 3.72% (G:0.00% B:0.00%)  



62: Cannot Move 

XGID=CBEBBabbcbbcA:1:1:1:62:0:0:0:11:3 
Pip=7463 



1.  4ply  Cannot Move  eq: 1.004 
 Player: Opponent:  3.91% (G:0.00% B:0.00%) 96.09% (G:2.62% B:0.02%)  



No double 

XGID=CBEBBabbcbbcA:1:1:1:00:0:0:0:11:3 
Pip=7463 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
96.09% (G:2.62% B:0.02%) 
96.09% (G:2.62% B:0.02%) 
Opponent Winning Chances: 
3.91% (G:0.00% B:0.00%) 
3.91% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.949 
+1.937 
Cubeful Equities 
No redouble:  +1.004  
Redouble/Take:  +1.905 (+0.902)  
Redouble/Pass:  +1.000 (0.004) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 0.4% 


55: 16/6 5/Off(2) 

XGID=CBEBBabbcbbcA:1:1:1:55:0:0:0:11:3 
Pip=7463 



1.  3ply  16/6 5/Off(2)  eq: +1.007 
 Player: Opponent:  96.39% (G:2.51% B:0.02%) 3.61% (G:0.00% B:0.00%)  

2.  2ply  16/1 5/Off  eq: +0.586 (0.421) 
 Player: Opponent:  73.77% (G:1.66% B:0.01%) 26.23% (G:0.00% B:0.00%)  

3.  2ply  16/1 6/1  eq: +0.546 (0.461) 
 Player: Opponent:  73.14% (G:1.06% B:0.00%) 26.86% (G:0.28% B:0.01%)  



62: Cannot Move 

XGID=CBEBBccbbcA:1:1:1:62:0:0:0:11:3 
Pip=7443 



1.  4ply  Cannot Move  eq: 1.000 
 Player: Opponent:  3.75% (G:0.00% B:0.00%) 96.25% (G:3.29% B:0.02%)  



No double 

XGID=CBEBBccbbcA:1:1:1:00:0:0:0:11:3 
Pip=7443 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
95.91% (G:3.36% B:0.04%) 
96.04% (G:3.19% B:0.05%) 
Opponent Winning Chances: 
4.09% (G:0.00% B:0.00%) 
3.96% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.954 
+1.946 
Cubeful Equities 
No redouble:  +0.979 (0.021)  
Redouble/Take:  +1.909 (+0.909)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


32: 6/3 4/2 

XGID=CBEBBccbbcA:1:1:1:32:0:0:0:11:3 
Pip=7443 



1.  4ply  3/1 3/Off  eq: +1.000 (+0.000) 
 Player: Opponent:  96.25% (G:1.79% B:0.02%) 3.75% (G:0.00% B:0.00%)  

2.  4ply  6/3 4/2  eq: +1.000 
 Player: Opponent:  96.95% (G:2.17% B:0.03%) 3.05% (G:0.00% B:0.00%)  

3.  4ply  6/1  eq: +1.000 
 Player: Opponent:  95.79% (G:1.99% B:0.02%) 4.21% (G:0.00% B:0.00%)  

4.  2ply  6/3 2/Off  eq: +0.723 (0.277) 
 Player: Opponent:  79.08% (G:2.31% B:0.03%) 20.92% (G:0.00% B:0.00%)  

5.  2ply  4/1 2/Off  eq: +0.702 (0.298) 
 Player: Opponent:  76.00% (G:1.82% B:0.03%) 24.00% (G:0.00% B:0.00%)  



65: Bar/14 

XGID=CBEBBbbcccA:1:1:1:65:0:0:0:11:3 
Pip=7438 



1.  3ply  Bar/14  eq: 1.000 
 Player: Opponent:  1.14% (G:0.00% B:0.00%) 98.86% (G:0.00% B:0.00%)  



Double/Pass 

XGID=CBEBBAbbccc:1:1:1:00:0:0:0:11:3 
Pip=6338 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
98.87% (G:0.00% B:0.00%) 
98.87% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
1.13% (G:0.00% B:0.00%) 
1.13% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.977 
+1.998 
Cubeful Equities 
No redouble:  +1.000  
Redouble/Take:  +1.991 (+0.991)  
Redouble/Pass:  +1.000 (0.000) 

Best Cube action: Too good to redouble / Pass 
Percentage of wrong take needed to make the double decision right: 0.0% 


Wins 2pts. 



