62: 24/18 13/11 

XGID=bECeEceB:0:0:1:62:2:7:0:11:3 
Pip=167167 



1.  Book^{1}  24/18 13/11  eq: +0.120 
 Player: Opponent:  50.61% (G:12.69% B:0.56%) 49.39% (G:13.13% B:0.55%)  

2.  Book^{1}  13/5  eq: +0.091 (0.029) 
 Player: Opponent:  49.12% (G:13.57% B:0.55%) 50.88% (G:13.13% B:0.66%)  

3.  Book^{1}  24/16  eq: +0.089 (0.030) 
 Player: Opponent:  50.22% (G:11.53% B:0.46%) 49.78% (G:13.07% B:0.47%)  

4.  Book^{1}  13/11 13/7  eq: +0.054 (0.066) 
 Player: Opponent:  48.23% (G:13.70% B:0.66%) 51.77% (G:14.85% B:0.89%)  

5.  Book^{1}  24/22 13/7  eq: +0.040 (0.080) 
 Player: Opponent:  48.04% (G:12.81% B:0.48%) 51.96% (G:13.64% B:0.60%)  


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



63: 24/21 13/7* 

XGID=bECAeDcAeA:0:0:1:63:2:7:0:11:3 
Pip=159167 



1.  4ply  24/21 13/7*  eq: 0.104 
 Player: Opponent:  49.71% (G:13.21% B:0.59%) 50.29% (G:12.48% B:0.57%)  

2.  4ply  13/10 13/7*  eq: 0.168 (0.064) 
 Player: Opponent:  48.72% (G:14.05% B:0.68%) 51.28% (G:14.35% B:0.90%)  

3.  4ply  13/7* 7/4  eq: 0.221 (0.116) 
 Player: Opponent:  47.33% (G:12.99% B:0.56%) 52.67% (G:14.52% B:0.83%)  

4.  3ply  13/7* 6/3  eq: 0.303 (0.199) 
 Player: Opponent:  46.03% (G:12.03% B:0.56%) 53.97% (G:16.09% B:1.15%)  

5.  3ply  24/21 24/18  eq: 0.324 (0.220) 
 Player: Opponent:  44.72% (G:9.36% B:0.38%) 55.28% (G:14.35% B:0.48%)  



52: Bar/18* 

XGID=aaECAdDcaeAA:0:0:1:52:2:7:0:11:3 
Pip=166158 



1.  3ply  Bar/18*  eq: +0.225 
 Player: Opponent:  53.61% (G:12.95% B:0.59%) 46.39% (G:11.82% B:0.45%)  

2.  3ply  Bar/20 6/4*  eq: 0.010 (0.235) 
 Player: Opponent:  47.65% (G:11.93% B:0.60%) 52.35% (G:16.02% B:0.90%)  

3.  3ply  Bar/20 13/11  eq: 0.020 (0.245) 
 Player: Opponent:  47.60% (G:11.12% B:0.47%) 52.40% (G:15.06% B:0.54%)  

4.  2ply  Bar/23 13/8  eq: 0.091 (0.316) 
 Player: Opponent:  45.55% (G:10.99% B:0.43%) 54.45% (G:16.14% B:0.72%)  

5.  2ply  Bar/23 6/1*  eq: 0.106 (0.331) 
 Player: Opponent:  45.00% (G:11.06% B:0.42%) 55.00% (G:15.92% B:0.83%)  



54: Bar/20 24/20 

XGID=aaaECAdDcAeA:0:0:1:54:2:7:0:11:3 
Pip=159176 



1.  4ply  Bar/20 24/20  eq: 0.160 
 Player: Opponent:  46.63% (G:10.35% B:0.29%) 53.37% (G:9.32% B:0.27%)  

2.  4ply  Bar/21 13/8  eq: 0.246 (0.086) 
 Player: Opponent:  44.94% (G:11.02% B:0.33%) 55.06% (G:11.47% B:0.39%)  

3.  4ply  Bar/21 6/1*  eq: 0.277 (0.117) 
 Player: Opponent:  44.76% (G:11.92% B:0.34%) 55.24% (G:13.21% B:0.51%)  

4.  3ply  Bar/21 8/3  eq: 0.353 (0.193) 
 Player: Opponent:  43.20% (G:11.13% B:0.37%) 56.80% (G:14.32% B:0.51%)  

5.  3ply  Bar/16  eq: 0.405 (0.245) 
 Player: Opponent:  42.86% (G:9.69% B:0.37%) 57.14% (G:15.73% B:0.76%)  



No double 

XGID=abECAdDcAeA:0:0:1:00:2:7:0:11:3 
Pip=159167 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.37% (G:9.32% B:0.27%) 
53.41% (G:9.27% B:0.27%) 
Opponent Winning Chances: 
46.63% (G:10.35% B:0.29%) 
46.59% (G:10.30% B:0.29%) 
Cubeless Equities 
+0.024 
+0.019 
Cubeful Equities 
No double:  +0.160  
Double/Take:  0.035 (0.195)  
Double/Pass:  +1.000 (+0.840) 

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


44: 8/4*(2) 6/2(2) 

XGID=abECAdDcAeA:0:0:1:44:2:7:0:11:3 
Pip=159167 



1.  4ply  8/4*(2) 6/2(2)  eq: +0.339 
 Player: Opponent:  56.00% (G:14.11% B:0.43%) 44.00% (G:10.06% B:0.41%)  

2.  4ply  13/9(2) 8/4*(2)  eq: +0.241 (0.098) 
 Player: Opponent:  53.64% (G:13.41% B:0.48%) 46.36% (G:11.00% B:0.49%)  

3.  4ply  18/10 8/4*(2)  eq: +0.240 (0.099) 
 Player: Opponent:  53.86% (G:12.99% B:0.43%) 46.14% (G:10.78% B:0.43%)  

4.  4ply  24/20 18/14 8/4*(2)  eq: +0.234 (0.106) 
 Player: Opponent:  53.94% (G:12.45% B:0.41%) 46.06% (G:10.89% B:0.47%)  

5.  4ply  13/9(2) 6/2(2)  eq: +0.227 (0.113) 
 Player: Opponent:  53.55% (G:12.89% B:0.45%) 46.45% (G:11.44% B:0.47%)  



52: Bar/20 13/11 

XGID=aBBbCAAdDcAeA:0:0:1:52:2:7:0:11:3 
Pip=143171 



1.  XG Roller+  Bar/20 6/4  eq: 0.333 
 Player: Opponent:  43.94% (G:9.52% B:0.34%) 56.06% (G:13.30% B:0.34%)  

2.  XG Roller+  Bar/20 13/11  eq: 0.412 (0.079) 
 Player: Opponent:  41.53% (G:8.55% B:0.28%) 58.47% (G:12.59% B:0.32%)  

3.  4ply  Bar/20 8/6  eq: 0.373 (0.039) 
 Player: Opponent:  41.41% (G:8.18% B:0.25%) 58.59% (G:11.34% B:0.35%)  

4.  3ply  Bar/18  eq: 0.479 (0.146) 
 Player: Opponent:  40.50% (G:8.15% B:0.30%) 59.50% (G:15.06% B:0.40%)  



Double/Take 

XGID=BBcCAAcDacAeA:0:0:1:00:2:7:0:11:3 
Pip=143164 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
58.51% (G:12.82% B:0.32%) 
58.62% (G:12.36% B:0.30%) 
Opponent Winning Chances: 
41.49% (G:8.65% B:0.29%) 
41.38% (G:8.43% B:0.28%) 
Cubeless Equities 
+0.185 
+0.362 
Cubeful Equities 
No double:  +0.417  
Double/Take:  +0.302 (0.115)  
Double/Pass:  +1.000 (+0.583) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.2% 


11: 24/23 11/8 

XGID=BBcCAAcDacAeA:1:1:1:11:2:7:0:11:3 
Pip=143164 



1.  4ply  24/23 11/8  eq: +0.069 
 Player: Opponent:  52.96% (G:11.07% B:0.34%) 47.04% (G:10.85% B:0.35%)  

2.  4ply  11/9 8/6  eq: 0.021 (0.091) 
 Player: Opponent:  48.78% (G:11.87% B:0.37%) 51.22% (G:13.44% B:0.53%)  

3.  4ply  11/8 4/3  eq: 0.045 (0.114) 
 Player: Opponent:  48.39% (G:10.87% B:0.34%) 51.61% (G:14.42% B:0.60%)  

4.  4ply  11/8 2/1  eq: 0.048 (0.118) 
 Player: Opponent:  48.37% (G:10.71% B:0.26%) 51.63% (G:14.45% B:0.59%)  

5.  4ply  24/22 8/6  eq: 0.051 (0.120) 
 Player: Opponent:  47.65% (G:11.68% B:0.37%) 52.35% (G:14.11% B:0.59%)  



64: 13/7* 11/7 

XGID=BBcCBcDacAeA:1:1:1:64:2:7:0:11:3 
Pip=139164 



1.  3ply  13/7* 11/7  eq: +0.080 
 Player: Opponent:  52.07% (G:11.60% B:0.39%) 47.93% (G:8.11% B:0.24%)  

2.  3ply  8/2* 6/2  eq: 0.116 (0.196) 
 Player: Opponent:  44.73% (G:11.76% B:0.35%) 55.27% (G:10.89% B:0.37%)  

3.  3ply  13/7* 6/2*  eq: 0.121 (0.201) 
 Player: Opponent:  46.70% (G:11.88% B:0.40%) 53.30% (G:14.79% B:0.62%)  

4.  3ply  11/7* 8/2*  eq: 0.161 (0.241) 
 Player: Opponent:  44.70% (G:10.88% B:0.33%) 55.30% (G:14.32% B:0.50%)  

5.  3ply  20/14 11/7*  eq: 0.162 (0.242) 
 Player: Opponent:  44.62% (G:9.46% B:0.32%) 55.38% (G:13.93% B:0.44%)  



66: Cannot Move 

XGID=BBcCBbDcbeAA:1:1:1:66:2:7:0:11:3 
Pip=146154 



1.  4ply  Cannot Move  eq: 0.224 
 Player: Opponent:  42.26% (G:7.57% B:0.24%) 57.74% (G:16.07% B:0.50%)  



52: 20/13 

XGID=BBcCBbDcbeAA:1:1:1:52:2:7:0:11:3 
Pip=146154 



1.  4ply  20/13  eq: +0.169 
 Player: Opponent:  55.42% (G:11.70% B:0.36%) 44.58% (G:6.82% B:0.21%)  

2.  4ply  13/11 13/8  eq: +0.087 (0.082) 
 Player: Opponent:  52.00% (G:11.45% B:0.36%) 48.00% (G:7.29% B:0.24%)  

3.  3ply  20/15 8/6  eq: +0.018 (0.152) 
 Player: Opponent:  50.18% (G:11.00% B:0.36%) 49.82% (G:9.66% B:0.31%)  

4.  3ply  13/6  eq: 0.027 (0.196) 
 Player: Opponent:  47.81% (G:9.91% B:0.37%) 52.19% (G:8.69% B:0.29%)  

5.  3ply  20/15 13/11  eq: 0.045 (0.214) 
 Player: Opponent:  49.10% (G:10.81% B:0.44%) 50.90% (G:12.63% B:0.52%)  



42: Bar/21 23/21 

XGID=BBbCBcDcbeAA:1:1:1:42:2:7:0:11:3 
Pip=146147 



1.  3ply  Bar/21 23/21  eq: 0.101 
 Player: Opponent:  47.43% (G:6.05% B:0.17%) 52.57% (G:6.76% B:0.17%)  

2.  3ply  Bar/21 13/11  eq: 0.226 (0.124) 
 Player: Opponent:  41.45% (G:8.58% B:0.28%) 58.55% (G:14.51% B:0.60%)  

3.  3ply  Bar/21 6/4  eq: 0.229 (0.127) 
 Player: Opponent:  42.07% (G:7.07% B:0.21%) 57.93% (G:14.03% B:0.45%)  

4.  3ply  Bar/21 8/6  eq: 0.254 (0.152) 
 Player: Opponent:  40.67% (G:7.80% B:0.22%) 59.33% (G:14.84% B:0.57%)  

5.  3ply  Bar/23 13/9  eq: 0.274 (0.172) 
 Player: Opponent:  39.44% (G:8.07% B:0.24%) 60.56% (G:13.32% B:0.50%)  



54: 13/8 6/2 

XGID=BBbCBcDcbeB:1:1:1:54:2:7:0:11:3 
Pip=140147 



1.  4ply  13/8 6/2  eq: +0.062 
 Player: Opponent:  51.13% (G:6.90% B:0.18%) 48.87% (G:6.76% B:0.20%)  

2.  4ply  8/3 6/2  eq: +0.044 (0.018) 
 Player: Opponent:  50.49% (G:6.97% B:0.19%) 49.51% (G:7.09% B:0.22%)  

3.  4ply  6/2 6/1  eq: +0.005 (0.057) 
 Player: Opponent:  48.89% (G:7.32% B:0.15%) 51.11% (G:7.47% B:0.24%)  

4.  4ply  7/3 7/2  eq: 0.008 (0.070) 
 Player: Opponent:  48.18% (G:6.81% B:0.17%) 51.82% (G:7.12% B:0.24%)  

5.  4ply  13/9 8/3  eq: 0.057 (0.119) 
 Player: Opponent:  46.49% (G:7.17% B:0.22%) 53.51% (G:8.18% B:0.24%)  



61: 13/6 

XGID=BBbCBbDdbdBa:1:1:1:61:2:7:0:11:3 
Pip=140138 



1.  4ply  13/7 8/7  eq: 0.088 
 Player: Opponent:  47.43% (G:7.29% B:0.21%) 52.57% (G:7.24% B:0.18%)  

2.  4ply  13/6  eq: 0.100 (0.012) 
 Player: Opponent:  47.36% (G:6.34% B:0.17%) 52.64% (G:6.98% B:0.17%)  

3.  4ply  13/7 4/3  eq: 0.135 (0.048) 
 Player: Opponent:  45.35% (G:7.46% B:0.21%) 54.65% (G:8.43% B:0.25%)  

4.  4ply  21/20 21/15  eq: 0.143 (0.055) 
 Player: Opponent:  46.36% (G:5.91% B:0.18%) 53.64% (G:12.37% B:0.29%)  

5.  4ply  21/14  eq: 0.149 (0.061) 
 Player: Opponent:  46.15% (G:5.91% B:0.18%) 53.85% (G:12.90% B:0.26%)  



64: 8/2 6/2 

XGID=BBbDBbCdbdBa:1:1:1:64:2:7:0:11:3 
Pip=133138 



1.  4ply  8/2 6/2  eq: +0.004 
 Player: Opponent:  48.97% (G:7.00% B:0.16%) 51.03% (G:7.66% B:0.20%)  

2.  4ply  7/3 7/1  eq: 0.005 (0.009) 
 Player: Opponent:  48.53% (G:7.06% B:0.12%) 51.47% (G:7.58% B:0.23%)  

3.  4ply  13/7 6/2  eq: 0.040 (0.044) 
 Player: Opponent:  46.49% (G:6.57% B:0.17%) 53.51% (G:6.66% B:0.18%)  

4.  4ply  13/9 13/7  eq: 0.056 (0.059) 
 Player: Opponent:  45.57% (G:5.81% B:0.16%) 54.43% (G:6.03% B:0.17%)  

5.  4ply  13/3  eq: 0.071 (0.074) 
 Player: Opponent:  45.05% (G:6.27% B:0.16%) 54.95% (G:6.41% B:0.20%)  



33: 13/10(3) 6/3 

XGID=BBbDBbCcbcBc:1:1:1:33:2:7:0:11:3 
Pip=133128 



1.  4ply  13/10(3) 6/3  eq: +0.038 (+0.003) 
 Player: Opponent:  53.24% (G:6.89% B:0.18%) 46.76% (G:6.39% B:0.13%)  

2.  4ply  13/10(2) 6/3(2)  eq: +0.035 
 Player: Opponent:  52.46% (G:8.17% B:0.24%) 47.54% (G:6.70% B:0.15%)  

3.  4ply  13/7 6/3(2)  eq: +0.026 (0.010) 
 Player: Opponent:  51.33% (G:9.62% B:0.26%) 48.67% (G:7.33% B:0.16%)  

4.  4ply  13/4 6/3  eq: +0.007 (0.028) 
 Player: Opponent:  51.47% (G:7.87% B:0.20%) 48.53% (G:7.48% B:0.17%)  

5.  4ply  13/10(3) 4/1  eq: 0.000 (0.035) 
 Player: Opponent:  51.37% (G:7.41% B:0.13%) 48.63% (G:7.08% B:0.17%)  



31: 8/5 6/5 

XGID=BABbCBCbcbcBc:1:1:1:31:2:7:0:11:3 
Pip=121128 



1.  4ply  8/5 6/5  eq: +0.014 
 Player: Opponent:  48.78% (G:7.21% B:0.17%) 51.22% (G:6.52% B:0.17%)  

2.  4ply  6/3 2/1  eq: 0.104 (0.118) 
 Player: Opponent:  44.74% (G:7.29% B:0.13%) 55.26% (G:8.87% B:0.30%)  

3.  4ply  8/7 6/3  eq: 0.116 (0.130) 
 Player: Opponent:  43.81% (G:6.28% B:0.12%) 56.19% (G:7.97% B:0.26%)  

4.  3ply  8/5 2/1  eq: 0.145 (0.159) 
 Player: Opponent:  43.47% (G:7.61% B:0.17%) 56.53% (G:10.06% B:0.30%)  

5.  3ply  13/12 6/3  eq: 0.180 (0.194) 
 Player: Opponent:  41.70% (G:6.24% B:0.16%) 58.30% (G:9.33% B:0.31%)  



63: 10/4 6/3 

XGID=BABbCBCbbbbbBc:1:1:1:63:2:7:0:11:3 
Pip=121124 



1.  4ply  10/4 6/3  eq: 0.031 
 Player: Opponent:  50.33% (G:6.86% B:0.14%) 49.67% (G:7.62% B:0.16%)  

2.  4ply  10/1  eq: 0.063 (0.032) 
 Player: Opponent:  48.97% (G:7.01% B:0.12%) 51.03% (G:8.81% B:0.25%)  

3.  4ply  21/15 6/3  eq: 0.113 (0.082) 
 Player: Opponent:  46.98% (G:7.86% B:0.23%) 53.02% (G:14.55% B:0.28%)  

4.  3ply  8/2 6/3  eq: 0.167 (0.136) 
 Player: Opponent:  44.05% (G:7.29% B:0.18%) 55.95% (G:8.43% B:0.20%)  

5.  2ply  8/2 4/1  eq: 0.310 (0.279) 
 Player: Opponent:  38.65% (G:5.66% B:0.10%) 61.35% (G:9.77% B:0.28%)  



21: 8/7 8/6 

XGID=BBCbBBBbbbbbBc:1:1:1:21:2:7:0:11:3 
Pip=112124 



1.  4ply  7/6 7/5  eq: +0.010 
 Player: Opponent:  49.16% (G:7.54% B:0.16%) 50.84% (G:7.68% B:0.18%)  

2.  4ply  8/7 8/6  eq: 0.004 (0.014) 
 Player: Opponent:  48.35% (G:7.55% B:0.16%) 51.65% (G:7.30% B:0.19%)  

3.  4ply  13/12 13/11  eq: 0.096 (0.105) 
 Player: Opponent:  45.28% (G:7.01% B:0.17%) 54.72% (G:9.12% B:0.24%)  

4.  4ply  13/11 2/1  eq: 0.106 (0.116) 
 Player: Opponent:  45.02% (G:7.86% B:0.17%) 54.98% (G:9.71% B:0.29%)  

5.  3ply  7/5 2/1  eq: 0.155 (0.165) 
 Player: Opponent:  43.25% (G:7.34% B:0.15%) 56.75% (G:10.51% B:0.26%)  



65: 21/16 21/15 

XGID=BBCbBBBbccbBc:1:1:1:65:2:7:0:11:3 
Pip=112121 



1.  XG Roller+  21/10  eq: +0.124 
 Player: Opponent:  55.91% (G:8.87% B:0.23%) 44.09% (G:5.47% B:0.09%)  

2.  XG Roller+  21/16 21/15  eq: 0.054 (0.178) 
 Player: Opponent:  49.86% (G:7.02% B:0.22%) 50.14% (G:11.52% B:0.26%)  

3.  3ply  8/3 8/2  eq: 0.044 (0.167) 
 Player: Opponent:  49.31% (G:8.20% B:0.17%) 50.69% (G:9.66% B:0.23%)  

4.  2ply  21/15 8/3  eq: 0.124 (0.248) 
 Player: Opponent:  45.40% (G:10.22% B:0.26%) 54.60% (G:15.91% B:0.63%)  

5.  2ply  21/16 8/2  eq: 0.252 (0.376) 
 Player: Opponent:  40.07% (G:10.47% B:0.30%) 59.93% (G:20.24% B:0.89%)  



53: 13/10* 10/5 

XGID=BBCbBBBbAAccbc:1:1:1:53:2:7:0:11:3 
Pip=101121 



1.  4ply  13/10* 10/5  eq: +0.099 
 Player: Opponent:  52.02% (G:12.13% B:0.23%) 47.98% (G:6.49% B:0.24%)  

2.  4ply  13/8 13/10*  eq: 0.014 (0.113) 
 Player: Opponent:  48.01% (G:11.19% B:0.22%) 51.99% (G:8.32% B:0.28%)  

3.  3ply  13/10* 7/2  eq: 0.139 (0.238) 
 Player: Opponent:  43.81% (G:9.85% B:0.23%) 56.19% (G:10.70% B:0.30%)  

4.  2ply  7/4 6/1  eq: 0.287 (0.387) 
 Player: Opponent:  34.83% (G:3.13% B:0.05%) 65.17% (G:5.00% B:0.14%)  

5.  2ply  13/10* 6/1  eq: 0.290 (0.389) 
 Player: Opponent:  40.62% (G:9.83% B:0.23%) 59.38% (G:17.00% B:0.74%)  



42: Bar/21 16/14 

XGID=BBCbBBBaAccccA:1:1:1:42:2:7:0:11:3 
Pip=111113 



1.  4ply  Bar/21 16/14  eq: 0.158 
 Player: Opponent:  45.01% (G:7.49% B:0.21%) 54.99% (G:13.73% B:0.29%)  

2.  4ply  Bar/21 4/2  eq: 0.225 (0.067) 
 Player: Opponent:  42.43% (G:7.73% B:0.20%) 57.57% (G:18.04% B:0.40%)  

3.  3ply  Bar/21 8/6  eq: 0.329 (0.171) 
 Player: Opponent:  38.01% (G:8.40% B:0.36%) 61.99% (G:23.40% B:0.97%)  

4.  3ply  Bar/21 3/1  eq: 0.385 (0.227) 
 Player: Opponent:  35.33% (G:9.07% B:0.50%) 64.67% (G:25.61% B:0.87%)  

5.  2ply  Bar/21 10/8  eq: 0.486 (0.329) 
 Player: Opponent:  32.12% (G:7.51% B:0.34%) 67.88% (G:28.77% B:1.32%)  



66: 20/14(2) 13/1 

XGID=BBCbBBBaAcccAc:1:1:1:66:2:7:0:11:3 
Pip=105113 



1.  3ply  20/14(2) 13/1  eq: +0.540 
 Player: Opponent:  70.30% (G:4.61% B:0.07%) 29.70% (G:1.20% B:0.02%)  

2.  2ply  20/8(2)  eq: +0.195 (0.346) 
 Player: Opponent:  55.72% (G:3.67% B:0.06%) 44.28% (G:3.18% B:0.07%)  

3.  1ply  20/2 13/7  eq: 0.259 (0.799) 
 Player: Opponent:  36.74% (G:5.11% B:0.13%) 63.26% (G:6.67% B:0.12%)  

4.  1ply  13/1 7/1(2)  eq: 0.309 (0.850) 
 Player: Opponent:  35.58% (G:3.35% B:0.03%) 64.42% (G:8.24% B:0.21%)  

5.  1ply  20/14(2) 7/1(2)  eq: 0.311 (0.851) 
 Player: Opponent:  40.20% (G:6.53% B:0.11%) 59.80% (G:17.55% B:0.52%)  



44: 21/17 14/6 10/6 

XGID=BBCBBBbAcccAca:1:1:1:44:2:7:0:11:3 
Pip=10589 



1.  XG Roller+  21/9 14/10  eq: 0.250 
 Player: Opponent:  42.79% (G:0.00% B:0.00%) 57.21% (G:0.00% B:0.00%)  

2.  XG Roller+  21/17 14/6 10/6  eq: 0.365 (0.115) 
 Player: Opponent:  37.16% (G:1.53% B:0.03%) 62.84% (G:1.63% B:0.02%)  

3.  3ply  21/17 14/6 8/4  eq: 0.361 (0.111) 
 Player: Opponent:  37.57% (G:1.55% B:0.03%) 62.43% (G:2.01% B:0.03%)  

4.  3ply  21/17 14/2  eq: 0.386 (0.136) 
 Player: Opponent:  36.55% (G:1.49% B:0.03%) 63.45% (G:2.50% B:0.03%)  

5.  3ply  21/5  eq: 0.391 (0.141) 
 Player: Opponent:  36.13% (G:1.56% B:0.06%) 63.87% (G:2.09% B:0.02%)  



55: 14/4(2) 

XGID=BBCDBAbAcccca:1:1:1:55:2:7:0:11:3 
Pip=8989 



1.  4ply  14/4(2)  eq: +0.796 
 Player: Opponent:  81.06% (G:0.00% B:0.00%) 18.94% (G:0.00% B:0.00%)  

2.  4ply  14/9(2) 7/2(2)  eq: +0.693 (0.103) 
 Player: Opponent:  76.99% (G:0.05% B:0.00%) 23.01% (G:0.02% B:0.00%)  

3.  4ply  14/9(2) 7/2 6/1  eq: +0.687 (0.109) 
 Player: Opponent:  76.63% (G:0.04% B:0.00%) 23.37% (G:0.02% B:0.00%)  

4.  3ply  14/9(2) 6/1(2)  eq: +0.617 (0.179) 
 Player: Opponent:  74.52% (G:0.08% B:0.00%) 25.48% (G:0.04% B:0.00%)  

5.  2ply  7/2(3) 6/1  eq: +0.400 (0.396) 
 Player: Opponent:  64.55% (G:0.83% B:0.01%) 35.45% (G:1.56% B:0.02%)  



53: 10/5 8/5 

XGID=BBCDBAAcccbca:1:1:1:53:2:7:0:11:3 
Pip=8969 



1.  4ply  10/5 8/5  eq: 0.769 
 Player: Opponent:  18.38% (G:0.00% B:0.00%) 81.62% (G:0.00% B:0.00%)  

2.  4ply  17/12 8/5  eq: 0.776 (0.007) 
 Player: Opponent:  18.08% (G:0.00% B:0.00%) 81.92% (G:0.00% B:0.00%)  

3.  4ply  8/5 8/3  eq: 0.796 (0.027) 
 Player: Opponent:  17.26% (G:0.00% B:0.00%) 82.74% (G:0.00% B:0.00%)  

4.  4ply  17/14 10/5  eq: 0.797 (0.028) 
 Player: Opponent:  17.13% (G:0.00% B:0.00%) 82.87% (G:0.00% B:0.00%)  

5.  4ply  17/14 6/1  eq: 0.833 (0.065) 
 Player: Opponent:  15.62% (G:0.00% B:0.00%) 84.38% (G:0.00% B:0.00%)  



51: 7/6 7/2 

XGID=BBCBDAAcccbca:1:1:1:51:2:7:0:11:3 
Pip=8169 



1.  4ply  7/6 7/2  eq: +0.724 
 Player: Opponent:  78.08% (G:0.00% B:0.00%) 21.92% (G:0.00% B:0.00%)  

2.  4ply  7/1  eq: +0.675 (0.049) 
 Player: Opponent:  76.04% (G:0.00% B:0.00%) 23.96% (G:0.00% B:0.00%)  

3.  4ply  7/2 5/4  eq: +0.667 (0.057) 
 Player: Opponent:  75.72% (G:0.00% B:0.00%) 24.28% (G:0.00% B:0.00%)  

4.  4ply  6/1 5/4  eq: +0.630 (0.094) 
 Player: Opponent:  74.27% (G:0.00% B:0.00%) 25.73% (G:0.00% B:0.00%)  

5.  3ply  7/2 4/3  eq: +0.625 (0.099) 
 Player: Opponent:  75.27% (G:0.00% B:0.00%) 24.73% (G:0.00% B:0.00%)  



65: 17/6 

XGID=BBCBDAAadcbda:1:1:1:65:2:7:0:11:3 
Pip=8163 



1.  4ply  17/6  eq: 0.589 
 Player: Opponent:  26.56% (G:0.00% B:0.00%) 73.44% (G:0.00% B:0.00%)  

2.  4ply  17/11 8/3  eq: 0.604 (0.016) 
 Player: Opponent:  25.81% (G:0.00% B:0.00%) 74.19% (G:0.00% B:0.00%)  

3.  4ply  17/11 6/1  eq: 0.616 (0.028) 
 Player: Opponent:  25.11% (G:0.00% B:0.00%) 74.89% (G:0.00% B:0.00%)  

4.  3ply  17/12 8/2  eq: 0.649 (0.060) 
 Player: Opponent:  24.71% (G:0.00% B:0.00%) 75.29% (G:0.00% B:0.00%)  

5.  3ply  8/2 6/1  eq: 0.705 (0.117) 
 Player: Opponent:  22.45% (G:0.00% B:0.00%) 77.55% (G:0.00% B:0.00%)  



63: 7/4 6/Off 

XGID=BBCBEAadcbda:1:1:1:63:2:7:0:11:3 
Pip=7063 



1.  4ply  7/4 6/Off  eq: +0.665 
 Player: Opponent:  75.69% (G:0.00% B:0.00%) 24.31% (G:0.00% B:0.00%)  

2.  4ply  7/1 6/3  eq: +0.607 (0.058) 
 Player: Opponent:  73.23% (G:0.00% B:0.00%) 26.77% (G:0.00% B:0.00%)  

3.  3ply  7/1 5/2  eq: +0.498 (0.167) 
 Player: Opponent:  69.16% (G:0.00% B:0.00%) 30.84% (G:0.00% B:0.00%)  

4.  3ply  7/1 4/1  eq: +0.463 (0.203) 
 Player: Opponent:  67.53% (G:0.00% B:0.00%) 32.47% (G:0.00% B:0.00%)  



51: 8/3 6/5 

XGID=BBCBEAcccda:1:1:1:51:2:7:0:11:3 
Pip=7054 



1.  4ply  8/3 6/5  eq: 0.770 
 Player: Opponent:  18.40% (G:0.00% B:0.00%) 81.60% (G:0.00% B:0.00%)  

2.  4ply  8/3 2/1  eq: 0.785 (0.015) 
 Player: Opponent:  17.76% (G:0.00% B:0.00%) 82.24% (G:0.00% B:0.00%)  

3.  4ply  6/5 6/1  eq: 0.790 (0.019) 
 Player: Opponent:  17.57% (G:0.00% B:0.00%) 82.43% (G:0.00% B:0.00%)  

4.  3ply  8/2  eq: 0.836 (0.066) 
 Player: Opponent:  17.18% (G:0.00% B:0.00%) 82.82% (G:0.00% B:0.00%)  

5.  3ply  8/7 6/1  eq: 0.848 (0.078) 
 Player: Opponent:  16.70% (G:0.00% B:0.00%) 83.30% (G:0.00% B:0.00%)  



61: 6/Off 1/Off 

XGID=BCCCDcccda:1:1:1:61:2:7:0:11:3 
Pip=6454 



1.  4ply  6/Off 1/Off  eq: +0.767 
 Player: Opponent:  80.02% (G:0.00% B:0.00%) 19.98% (G:0.00% B:0.00%)  

2.  4ply  6/Off 4/3  eq: +0.745 (0.021) 
 Player: Opponent:  79.03% (G:0.00% B:0.00%) 20.97% (G:0.00% B:0.00%)  

3.  1ply  6/Off 2/1  eq: +0.707 (0.060) 
 Player: Opponent:  78.64% (G:0.00% B:0.00%) 21.36% (G:0.00% B:0.00%)  

4.  1ply  6/Off 5/4  eq: +0.678 (0.089) 
 Player: Opponent:  77.30% (G:0.00% B:0.00%) 22.70% (G:0.00% B:0.00%)  

5.  1ply  6/5 6/Off  eq: +0.646 (0.120) 
 Player: Opponent:  75.87% (G:0.00% B:0.00%) 24.13% (G:0.00% B:0.00%)  



51: 5/Off 2/1 

XGID=BCCCDbccd:1:1:1:51:2:7:0:11:3 
Pip=6447 



1.  4ply  6/Off  eq: 0.861 
 Player: Opponent:  14.25% (G:0.00% B:0.00%) 85.75% (G:0.00% B:0.00%)  

2.  4ply  5/Off 2/1  eq: 0.869 (0.008) 
 Player: Opponent:  13.99% (G:0.00% B:0.00%) 86.01% (G:0.00% B:0.00%)  

3.  4ply  6/5 6/1  eq: 0.941 (0.080) 
 Player: Opponent:  12.78% (G:0.00% B:0.00%) 87.22% (G:0.00% B:0.00%)  

4.  1ply  5/Off 3/2  eq: 1.000 (0.139) 
 Player: Opponent:  13.24% (G:0.00% B:0.00%) 86.76% (G:0.00% B:0.00%)  

5.  1ply  5/4 5/Off  eq: 1.000 (0.139) 
 Player: Opponent:  12.84% (G:0.00% B:0.00%) 87.16% (G:0.00% B:0.00%)  



No double 

XGID=AACCBDbccd:1:1:1:00:2:7:0:11:3 
Pip=5847 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
86.01% (G:0.00% B:0.00%) 
86.01% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
13.99% (G:0.00% B:0.00%) 
13.99% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.720 
+1.384 
Cubeful Equities 
No redouble:  +0.869  
Redouble/Take:  +0.843 (0.026)  
Redouble/Pass:  +1.000 (+0.131) 

Best Cube action: No redouble / Take 
Percentage of wrong pass needed to make the double decision right: 14.1% 


64: 6/Off 4/Off 

XGID=AACCBDbccd:1:1:1:64:2:7:0:11:3 
Pip=5847 



1.  4ply  6/Off 4/Off  eq: +0.953 
 Player: Opponent:  89.10% (G:0.00% B:0.00%) 10.90% (G:0.00% B:0.00%)  

2.  4ply  6/Off 5/1  eq: +0.929 (0.024) 
 Player: Opponent:  87.33% (G:0.00% B:0.00%) 12.67% (G:0.00% B:0.00%)  

3.  1ply  6/2 6/Off  eq: +0.821 (0.132) 
 Player: Opponent:  83.89% (G:0.00% B:0.00%) 16.11% (G:0.00% B:0.00%)  



43: 4/Off 3/Off 

XGID=AACCBDacbd:1:1:1:43:2:7:0:11:3 
Pip=5837 



1.  4ply  4/Off 3/Off  eq: 1.000 
 Player: Opponent:  9.38% (G:0.00% B:0.00%) 90.62% (G:0.00% B:0.00%)  

2.  4ply  6/2 3/Off  eq: 1.000 
 Player: Opponent:  7.37% (G:0.00% B:0.00%) 92.63% (G:0.00% B:0.00%)  

3.  4ply  6/3 6/2  eq: 1.000 
 Player: Opponent:  5.63% (G:0.00% B:0.00%) 94.37% (G:0.00% B:0.00%)  

4.  1ply  6/3 4/Off  eq: 1.000 
 Player: Opponent:  6.82% (G:0.00% B:0.00%) 93.18% (G:0.00% B:0.00%)  

5.  1ply  5/2 4/Off  eq: 1.000 
 Player: Opponent:  6.28% (G:0.00% B:0.00%) 93.72% (G:0.00% B:0.00%)  



Double/Take 

XGID=AABBBDacbd:1:1:1:00:2:7:0:11:3 
Pip=5137 



Analyzed in XG Roller+ 
No redouble 
Redouble/Take 
Player Winning Chances: 
90.61% (G:0.00% B:0.00%) 
90.51% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
9.39% (G:0.00% B:0.00%) 
9.49% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.812 
+1.571 
Cubeful Equities 
No redouble:  +0.948 (0.052)  
Redouble/Take:  +1.204 (+0.204)  
Redouble/Pass:  +1.000 

Best Cube action: Redouble / Pass 


21: 4/3 2/Off 

XGID=AABBBDacbd:2:1:1:21:2:7:0:11:3 
Pip=5137 



1.  4ply  2/1 2/Off  eq: +0.426 
 Player: Opponent:  85.10% (G:0.00% B:0.00%) 14.90% (G:0.00% B:0.00%)  

2.  4ply  4/3 2/Off  eq: +0.410 (0.016) 
 Player: Opponent:  84.68% (G:0.00% B:0.00%) 15.32% (G:0.00% B:0.00%)  

3.  4ply  5/3 2/1  eq: +0.368 (0.058) 
 Player: Opponent:  83.59% (G:0.00% B:0.00%) 16.41% (G:0.00% B:0.00%)  

4.  1ply  5/4 2/Off  eq: +0.389 (0.037) 
 Player: Opponent:  84.15% (G:0.00% B:0.00%) 15.85% (G:0.00% B:0.00%)  

5.  1ply  6/5 2/Off  eq: +0.282 (0.144) 
 Player: Opponent:  81.37% (G:0.00% B:0.00%) 18.63% (G:0.00% B:0.00%)  



Double/Take 

XGID=AABBBDacaac:2:1:1:00:2:7:0:11:3 
Pip=5134 



Analyzed in 4ply 
No redouble 
Redouble/Take 
Player Winning Chances: 
15.32% (G:0.00% B:0.00%) 
15.32% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
84.68% (G:0.00% B:0.00%) 
84.68% (G:0.00% B:0.00%) 
Cubeless Equities 
0.694 
0.410 
Cubeful Equities 
No redouble:  0.425 (0.016)  
Redouble/Take:  0.410  
Redouble/Pass:  +1.000 (+1.410) 

Best Cube action: Redouble / Take 


62: 6/Off 2/Off 

XGID=AABBBDacaac:3:1:1:62:2:7:0:11:3 
Pip=5134 



1.  4ply  6/Off 2/Off  eq: 0.719 
 Player: Opponent:  14.06% (G:0.00% B:0.00%) 85.94% (G:0.00% B:0.00%)  

2.  4ply  6/4 6/Off  eq: 0.754 (0.035) 
 Player: Opponent:  12.32% (G:0.00% B:0.00%) 87.68% (G:0.00% B:0.00%)  

3.  1ply  6/Off 5/3  eq: 0.782 (0.063) 
 Player: Opponent:  10.89% (G:0.00% B:0.00%) 89.11% (G:0.00% B:0.00%)  

4.  1ply  6/Off 4/2  eq: 0.782 (0.063) 
 Player: Opponent:  10.88% (G:0.00% B:0.00%) 89.12% (G:0.00% B:0.00%)  

5.  1ply  6/Off 3/1  eq: 0.785 (0.066) 
 Player: Opponent:  10.77% (G:0.00% B:0.00%) 89.23% (G:0.00% B:0.00%)  



31: 5/4 3/Off 

XGID=ABBBCacaac:3:1:1:31:2:7:0:11:3 
Pip=4334 



1.  4ply  3/Off 2/1  eq: +0.532 
 Player: Opponent:  76.59% (G:0.00% B:0.00%) 23.41% (G:0.00% B:0.00%)  

2.  4ply  5/4 3/Off  eq: +0.527 (0.004) 
 Player: Opponent:  76.37% (G:0.00% B:0.00%) 23.63% (G:0.00% B:0.00%)  

3.  4ply  5/1  eq: +0.487 (0.045) 
 Player: Opponent:  74.36% (G:0.00% B:0.00%) 25.64% (G:0.00% B:0.00%)  

4.  1ply  4/Off  eq: +0.500 (0.031) 
 Player: Opponent:  75.02% (G:0.00% B:0.00%) 24.98% (G:0.00% B:0.00%)  

5.  1ply  6/3 2/1  eq: +0.487 (0.045) 
 Player: Opponent:  74.34% (G:0.00% B:0.00%) 25.66% (G:0.00% B:0.00%)  



54: 5/Off 4/Off 

XGID=ABBBCabbc:3:1:1:54:2:7:0:11:3 
Pip=4330 



1.  4ply  5/Off 4/Off  eq: 0.529 
 Player: Opponent:  23.57% (G:0.00% B:0.00%) 76.43% (G:0.00% B:0.00%)  

2.  4ply  6/2 5/Off  eq: 0.566 (0.038) 
 Player: Opponent:  21.70% (G:0.00% B:0.00%) 78.30% (G:0.00% B:0.00%)  

3.  4ply  6/2 6/1  eq: 0.646 (0.117) 
 Player: Opponent:  17.72% (G:0.00% B:0.00%) 82.28% (G:0.00% B:0.00%)  

4.  1ply  6/1 4/Off  eq: 0.625 (0.096) 
 Player: Opponent:  18.77% (G:0.00% B:0.00%) 81.23% (G:0.00% B:0.00%)  

5.  1ply  5/1 5/Off  eq: 0.689 (0.161) 
 Player: Opponent:  15.53% (G:0.00% B:0.00%) 84.47% (G:0.00% B:0.00%)  



61: 6/Off 4/3 

XGID=ABAACabbc:3:1:1:61:2:7:0:11:3 
Pip=3430 



1.  3ply  6/Off 4/3  eq: +0.458 
 Player: Opponent:  72.88% (G:0.00% B:0.00%) 27.12% (G:0.00% B:0.00%)  

2.  1ply  6/Off 2/1  eq: +0.434 (0.024) 
 Player: Opponent:  71.69% (G:0.00% B:0.00%) 28.31% (G:0.00% B:0.00%)  

3.  1ply  6/Off 5/4  eq: +0.368 (0.089) 
 Player: Opponent:  68.41% (G:0.00% B:0.00%) 31.59% (G:0.00% B:0.00%)  

4.  1ply  6/Off  eq: +0.320 (0.138) 
 Player: Opponent:  65.99% (G:0.00% B:0.00%) 34.01% (G:0.00% B:0.00%)  



31: 3/Off 1/Off 

XGID=ABAACbaac:3:1:1:31:2:7:0:11:3 
Pip=3423 



1.  4ply  3/Off 1/Off  eq: 0.622 
 Player: Opponent:  18.89% (G:0.00% B:0.00%) 81.11% (G:0.00% B:0.00%)  

2.  4ply  6/5 3/Off  eq: 0.675 (0.053) 
 Player: Opponent:  16.25% (G:0.00% B:0.00%) 83.75% (G:0.00% B:0.00%)  

3.  4ply  6/2  eq: 0.740 (0.118) 
 Player: Opponent:  12.98% (G:0.00% B:0.00%) 87.02% (G:0.00% B:0.00%)  

4.  1ply  6/3 1/Off  eq: 0.701 (0.079) 
 Player: Opponent:  14.96% (G:0.00% B:0.00%) 85.04% (G:0.00% B:0.00%)  

5.  1ply  3/2 3/Off  eq: 0.705 (0.083) 
 Player: Opponent:  14.75% (G:0.00% B:0.00%) 85.25% (G:0.00% B:0.00%)  



51: 5/Off 2/1 

XGID=AAACbaac:3:1:1:51:2:7:0:11:3 
Pip=3023 



1.  3ply  5/Off 2/1  eq: +0.574 
 Player: Opponent:  78.70% (G:0.00% B:0.00%) 21.30% (G:0.00% B:0.00%)  

2.  1ply  5/4 5/Off  eq: +0.408 (0.166) 
 Player: Opponent:  70.38% (G:0.00% B:0.00%) 29.62% (G:0.00% B:0.00%)  

3.  1ply  5/Off 4/3  eq: +0.379 (0.195) 
 Player: Opponent:  68.96% (G:0.00% B:0.00%) 31.04% (G:0.00% B:0.00%)  

4.  1ply  5/Off 3/2  eq: +0.339 (0.235) 
 Player: Opponent:  66.97% (G:0.00% B:0.00%) 33.03% (G:0.00% B:0.00%)  



42: 6/Off 

XGID=AAACaaaba:3:1:1:42:2:7:0:11:3 
Pip=3017 



1.  4ply  6/Off  eq: 0.715 
 Player: Opponent:  14.26% (G:0.00% B:0.00%) 85.74% (G:0.00% B:0.00%)  

2.  4ply  6/4 6/2  eq: 0.766 (0.051) 
 Player: Opponent:  11.70% (G:0.00% B:0.00%) 88.30% (G:0.00% B:0.00%)  

3.  1ply  4/Off 3/1  eq: 0.774 (0.059) 
 Player: Opponent:  11.29% (G:0.00% B:0.00%) 88.71% (G:0.00% B:0.00%)  

4.  1ply  5/3 4/Off  eq: 0.775 (0.061) 
 Player: Opponent:  11.23% (G:0.00% B:0.00%) 88.77% (G:0.00% B:0.00%)  

5.  1ply  6/2 3/1  eq: 0.795 (0.080) 
 Player: Opponent:  10.25% (G:0.00% B:0.00%) 89.75% (G:0.00% B:0.00%)  



64: 5/Off 4/Off 

XGID=AAABaaaba:3:1:1:64:2:7:0:11:3 
Pip=2417 



1.  4ply  5/Off 4/Off  eq: +0.822 
 Player: Opponent:  91.10% (G:0.00% B:0.00%) 8.90% (G:0.00% B:0.00%)  

2.  4ply  5/1 4/Off  eq: +0.408 (0.414) 
 Player: Opponent:  70.40% (G:0.00% B:0.00%) 29.60% (G:0.00% B:0.00%)  



52: 6/4 5/Off 

XGID=AAABaba:3:1:1:52:2:7:0:11:3 
Pip=248 



1.  4ply  6/4 5/Off  eq: 0.914 
 Player: Opponent:  4.31% (G:0.00% B:0.00%) 95.69% (G:0.00% B:0.00%)  

2.  4ply  6/1 5/3  eq: 0.969 (0.055) 
 Player: Opponent:  1.56% (G:0.00% B:0.00%) 98.44% (G:0.00% B:0.00%)  

3.  1ply  5/Off 3/1  eq: 0.920 (0.006) 
 Player: Opponent:  3.99% (G:0.00% B:0.00%) 96.01% (G:0.00% B:0.00%)  

4.  1ply  5/Off 4/2  eq: 0.921 (0.007) 
 Player: Opponent:  3.97% (G:0.00% B:0.00%) 96.03% (G:0.00% B:0.00%)  

5.  1ply  6/4 6/1  eq: 0.973 (0.060) 
 Player: Opponent:  1.34% (G:0.00% B:0.00%) 98.66% (G:0.00% B:0.00%)  



54: 3/Off 2/Off 

XGID=ABAaba:3:1:1:54:2:7:0:11:3 
Pip=178 



1.  3ply  3/Off 2/Off  eq: +0.944 
 Player: Opponent:  97.22% (G:0.00% B:0.00%) 2.78% (G:0.00% B:0.00%)  



22: 4/Off(2) 

XGID=ABAaa:3:1:1:22:2:7:0:11:3 
Pip=173 



1.  4ply  4/Off(2)  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

2.  4ply  4/2 4/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.  4ply  6/2 4/2(2)  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

4.  2ply  6/2 4/2 3/1  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  

5.  1ply  6/Off 4/2  eq: 1.000 
 Player: Opponent:  0.00% (G:0.00% B:0.00%) 100.00% (G:0.00% B:0.00%)  



11: 2/Off 1/Off 

XGID=AAaa:3:1:1:11:2:7:0:11:3 
Pip=93 



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



Wins a Single Game 8pts. 



