54: 13/9 13/8 

XGID=bECeEceB:0:0:1:54:6:3:0:11:3 
Pip=167167 



1.  Book^{1}  13/9 13/8  eq: +0.162 
 Player: Opponent:  49.79% (G:14.66% B:0.69%) 50.21% (G:13.15% B:0.62%)  

2.  Book^{1}  24/20 13/8  eq: +0.152 (0.009) 
 Player: Opponent:  50.47% (G:13.01% B:0.57%) 49.53% (G:12.79% B:0.47%)  

3.  Book^{1}  24/15  eq: +0.124 (0.038) 
 Player: Opponent:  50.29% (G:11.53% B:0.46%) 49.71% (G:12.77% B:0.47%)  

4.  Book^{1}  13/4  eq: +0.087 (0.074) 
 Player: Opponent:  48.43% (G:13.47% B:0.59%) 51.57% (G:14.03% B:0.74%)  

5.  Book^{1}  13/8 6/2  eq: +0.018 (0.143) 
 Player: Opponent:  46.73% (G:13.21% B:0.59%) 53.27% (G:15.35% B:0.76%)  


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



63: 24/15 

XGID=bECcEadeB:0:0:1:63:6:3:0:11:3 
Pip=167158 



1.  4ply  24/15  eq: 0.306 
 Player: Opponent:  46.79% (G:10.57% B:0.48%) 53.21% (G:16.58% B:0.58%)  

2.  4ply  24/18 13/10  eq: 0.316 (0.011) 
 Player: Opponent:  46.65% (G:11.59% B:0.61%) 53.35% (G:17.49% B:0.77%)  

3.  4ply  13/4  eq: 0.372 (0.066) 
 Player: Opponent:  44.76% (G:12.11% B:0.52%) 55.24% (G:16.84% B:0.97%)  

4.  4ply  13/10 13/7  eq: 0.403 (0.097) 
 Player: Opponent:  44.56% (G:12.06% B:0.57%) 55.44% (G:17.79% B:1.24%)  

5.  4ply  24/21 13/7  eq: 0.413 (0.107) 
 Player: Opponent:  44.33% (G:10.99% B:0.49%) 55.67% (G:18.12% B:0.90%)  



No double 

XGID=bECcEAadeA:0:0:1:00:6:3:0:11:3 
Pip=158158 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
53.21% (G:16.58% B:0.58%) 
53.21% (G:16.61% B:0.58%) 
Opponent Winning Chances: 
46.79% (G:10.57% B:0.48%) 
46.79% (G:10.58% B:0.48%) 
Cubeless Equities 
+0.127 
+0.321 
Cubeful Equities 
No double:  +0.306  
Double/Take:  +0.193 (0.113)  
Double/Pass:  +1.000 (+0.694) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 12.3% 


41: 9/5 6/5 

XGID=bECcEAadeA:0:0:1:41:6:3:0:11:3 
Pip=158158 



1.  3ply  9/5 6/5  eq: +0.309 
 Player: Opponent:  53.44% (G:16.47% B:0.52%) 46.56% (G:9.89% B:0.38%)  

2.  3ply  24/23 13/9  eq: +0.146 (0.163) 
 Player: Opponent:  49.72% (G:13.64% B:0.46%) 50.28% (G:10.95% B:0.42%)  

3.  3ply  13/9 6/5  eq: +0.105 (0.204) 
 Player: Opponent:  48.73% (G:13.50% B:0.49%) 51.27% (G:11.97% B:0.60%)  

4.  2ply  13/9 8/7  eq: +0.059 (0.250) 
 Player: Opponent:  47.32% (G:13.48% B:0.45%) 52.68% (G:12.47% B:0.73%)  

5.  2ply  24/23 24/20  eq: +0.022 (0.288) 
 Player: Opponent:  46.64% (G:11.95% B:0.47%) 53.36% (G:11.86% B:0.51%)  



55: 15/10 13/3 8/3 

XGID=bECcEAddbA:0:0:1:55:6:3:0:11:3 
Pip=158153 



1.  3ply  15/10 13/3 8/3  eq: 0.181 
 Player: Opponent:  49.35% (G:13.13% B:0.68%) 50.65% (G:14.69% B:0.44%)  

2.  3ply  13/3(2)  eq: 0.304 (0.123) 
 Player: Opponent:  46.44% (G:12.46% B:0.67%) 53.56% (G:16.54% B:0.52%)  

3.  3ply  15/10 13/8(3)  eq: 0.449 (0.268) 
 Player: Opponent:  43.22% (G:10.24% B:0.44%) 56.78% (G:17.32% B:0.52%)  

4.  2ply  15/10 8/3(3)  eq: 0.431 (0.250) 
 Player: Opponent:  42.96% (G:11.03% B:0.48%) 57.04% (G:18.10% B:0.56%)  

5.  2ply  15/5 8/3(2)  eq: 0.446 (0.265) 
 Player: Opponent:  42.96% (G:11.46% B:0.56%) 57.04% (G:19.75% B:0.87%)  



No double 

XGID=bBEBAcDddbA:0:0:1:00:6:3:0:11:3 
Pip=138153 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.78% (G:14.92% B:0.48%) 
50.78% (G:14.93% B:0.48%) 
Opponent Winning Chances: 
49.22% (G:13.02% B:0.67%) 
49.22% (G:13.01% B:0.67%) 
Cubeless Equities 
+0.035 
+0.127 
Cubeful Equities 
No double:  +0.188  
Double/Take:  +0.020 (0.169)  
Double/Pass:  +1.000 (+0.812) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 14.7% 


11: 24/23 8/7(2) 6/5 

XGID=bBEBAcDddbA:0:0:1:11:6:3:0:11:3 
Pip=138153 



1.  4ply  24/23 8/7(2) 6/5  eq: +0.294 
 Player: Opponent:  54.08% (G:15.23% B:0.60%) 45.92% (G:14.18% B:0.51%)  

2.  4ply  24/23(2) 8/7(2)  eq: +0.275 (0.018) 
 Player: Opponent:  53.05% (G:14.31% B:0.43%) 46.95% (G:10.91% B:0.44%)  

3.  4ply  8/7(2) 6/4  eq: +0.225 (0.068) 
 Player: Opponent:  52.52% (G:14.36% B:0.51%) 47.48% (G:14.77% B:1.06%)  

4.  4ply  6/4(2)  eq: +0.171 (0.123) 
 Player: Opponent:  50.91% (G:13.69% B:0.37%) 49.09% (G:13.60% B:0.86%)  

5.  3ply  8/7(2) 6/5(2)  eq: +0.145 (0.148) 
 Player: Opponent:  50.51% (G:13.80% B:0.52%) 49.49% (G:14.16% B:0.78%)  



41: 13/9 10/9 

XGID=aaBEBAcDbbccA:0:0:1:41:6:3:0:11:3 
Pip=138149 



1.  XG Roller+  6/2* 2/1*  eq: 0.352 
 Player: Opponent:  43.90% (G:17.32% B:0.40%) 56.10% (G:16.51% B:0.81%)  

2.  XG Roller+  13/9 10/9  eq: 0.411 (0.060) 
 Player: Opponent:  42.97% (G:12.24% B:0.46%) 57.03% (G:15.04% B:0.51%)  

3.  2ply  24/23 10/6  eq: 0.567 (0.216) 
 Player: Opponent:  39.73% (G:9.86% B:0.31%) 60.27% (G:18.66% B:0.46%)  

4.  2ply  13/8  eq: 0.568 (0.216) 
 Player: Opponent:  39.16% (G:9.91% B:0.34%) 60.84% (G:17.39% B:0.59%)  

5.  2ply  10/9 6/2*  eq: 0.636 (0.284) 
 Player: Opponent:  38.73% (G:11.39% B:0.41%) 61.27% (G:19.62% B:1.02%)  



No double 

XGID=aaBEBBcCbbccA:0:0:1:00:6:3:0:11:3 
Pip=133149 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
57.12% (G:14.70% B:0.46%) 
57.14% (G:14.66% B:0.46%) 
Opponent Winning Chances: 
42.88% (G:11.48% B:0.39%) 
42.86% (G:11.48% B:0.39%) 
Cubeless Equities 
+0.177 
+0.410 
Cubeful Equities 
No double:  +0.402  
Double/Take:  +0.322 (0.080)  
Double/Pass:  +1.000 (+0.598) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 10.5% 


62: 23/15 

XGID=aaBEBBcCbbccA:0:0:1:62:6:3:0:11:3 
Pip=133149 



1.  4ply  23/15  eq: +0.289 
 Player: Opponent:  55.51% (G:12.61% B:0.48%) 44.49% (G:14.77% B:0.44%)  

2.  4ply  24/18 13/11  eq: +0.200 (0.090) 
 Player: Opponent:  53.17% (G:13.66% B:0.67%) 46.83% (G:18.56% B:0.79%)  

3.  4ply  23/21 13/7  eq: +0.159 (0.130) 
 Player: Opponent:  51.34% (G:13.27% B:0.57%) 48.66% (G:16.52% B:0.56%)  

4.  3ply  13/5  eq: +0.132 (0.158) 
 Player: Opponent:  50.23% (G:14.33% B:0.48%) 49.77% (G:14.93% B:0.58%)  

5.  3ply  13/11 13/7  eq: +0.100 (0.190) 
 Player: Opponent:  49.71% (G:14.68% B:0.74%) 50.29% (G:17.66% B:1.17%)  



64: 8/2 6/2 

XGID=aBEBBacCbbccA:0:0:1:64:6:3:0:11:3 
Pip=133141 



1.  3ply  8/2 6/2  eq: 0.455 
 Player: Opponent:  39.80% (G:12.50% B:0.30%) 60.20% (G:12.32% B:0.49%)  

2.  3ply  13/3  eq: 0.623 (0.168) 
 Player: Opponent:  36.15% (G:10.40% B:0.28%) 63.85% (G:13.61% B:0.46%)  

3.  2ply  9/5 9/3  eq: 0.850 (0.395) 
 Player: Opponent:  32.72% (G:9.14% B:0.23%) 67.28% (G:16.24% B:0.71%)  

4.  1ply  13/9 8/2  eq: 1.000 (0.545) 
 Player: Opponent:  30.64% (G:8.41% B:0.26%) 69.36% (G:18.56% B:0.79%)  

5.  1ply  13/7 6/2  eq: 1.000 (0.545) 
 Player: Opponent:  31.15% (G:8.15% B:0.30%) 68.85% (G:20.04% B:1.01%)  



No double 

XGID=aBBDABacCbbccA:0:0:1:00:6:3:0:11:3 
Pip=123141 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
60.40% (G:12.35% B:0.51%) 
60.40% (G:12.32% B:0.51%) 
Opponent Winning Chances: 
39.60% (G:12.58% B:0.22%) 
39.60% (G:12.56% B:0.22%) 
Cubeless Equities 
+0.211 
+0.464 
Cubeful Equities 
No double:  +0.460  
Double/Take:  +0.413 (0.047)  
Double/Pass:  +1.000 (+0.540) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 7.4% 


63: 24/15 

XGID=aBBDABacCbbccA:0:0:1:63:6:3:0:11:3 
Pip=123141 



1.  3ply  24/15  eq: +0.577 
 Player: Opponent:  64.56% (G:8.79% B:0.29%) 35.44% (G:6.89% B:0.07%)  

2.  2ply  15/9 13/10  eq: +0.258 (0.319) 
 Player: Opponent:  55.21% (G:12.29% B:0.58%) 44.79% (G:17.21% B:0.57%)  

3.  2ply  15/6  eq: +0.202 (0.374) 
 Player: Opponent:  53.43% (G:11.07% B:0.42%) 46.57% (G:13.23% B:0.21%)  

4.  2ply  24/21 15/9  eq: +0.130 (0.446) 
 Player: Opponent:  52.50% (G:11.13% B:0.54%) 47.50% (G:19.12% B:0.43%)  

5.  2ply  24/21 13/7  eq: 0.017 (0.593) 
 Player: Opponent:  49.34% (G:11.30% B:0.68%) 50.66% (G:25.10% B:0.64%)  



31: 24/21 6/5 

XGID=BBDABbcCbbccA:0:0:1:31:6:3:0:11:3 
Pip=123132 



1.  XG Roller+  8/5 6/5  eq: 0.598 
 Player: Opponent:  34.46% (G:8.38% B:0.13%) 65.54% (G:7.56% B:0.20%)  

2.  XG Roller+  24/21 6/5  eq: 0.626 (0.028) 
 Player: Opponent:  35.10% (G:10.36% B:0.24%) 64.90% (G:12.17% B:0.38%)  

3.  4ply  24/21 9/8  eq: 0.646 (0.048) 
 Player: Opponent:  35.02% (G:8.79% B:0.12%) 64.98% (G:12.14% B:0.36%)  

4.  4ply  24/21 8/7  eq: 0.674 (0.075) 
 Player: Opponent:  34.57% (G:8.93% B:0.12%) 65.43% (G:12.50% B:0.36%)  

5.  3ply  9/5  eq: 0.713 (0.115) 
 Player: Opponent:  32.07% (G:6.48% B:0.10%) 67.93% (G:8.39% B:0.31%)  



No double 

XGID=BBACABbcCbbccA:0:0:1:00:6:3:0:11:3 
Pip=119132 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
64.22% (G:12.08% B:0.43%) 
64.33% (G:11.97% B:0.45%) 
Opponent Winning Chances: 
35.78% (G:10.40% B:0.23%) 
35.67% (G:10.42% B:0.24%) 
Cubeless Equities 
+0.305 
+0.656 
Cubeful Equities 
No double:  +0.583 (0.016)  
Double/Take:  +0.599  
Double/Pass:  +1.000 (+0.401) 

Best Cube action: Double / Take 


43: 8/4* 7/4 

XGID=BBACABbcCbbccA:0:0:1:43:6:3:0:11:3 
Pip=119132 



1.  3ply  8/4* 7/4  eq: +0.588 
 Player: Opponent:  63.16% (G:16.33% B:0.56%) 36.84% (G:9.87% B:0.16%)  

2.  2ply  13/6  eq: +0.206 (0.381) 
 Player: Opponent:  53.71% (G:6.37% B:0.15%) 46.29% (G:4.67% B:0.07%)  

3.  2ply  13/10 8/4*  eq: +0.146 (0.442) 
 Player: Opponent:  53.23% (G:11.83% B:0.42%) 46.77% (G:21.92% B:0.97%)  

4.  2ply  13/9 7/4*  eq: +0.124 (0.464) 
 Player: Opponent:  52.41% (G:12.32% B:0.46%) 47.59% (G:21.88% B:0.89%)  

5.  2ply  8/5 8/4*  eq: +0.095 (0.493) 
 Player: Opponent:  50.77% (G:9.78% B:0.31%) 49.23% (G:15.24% B:0.22%)  



61: Bar/18* 

XGID=BBACABbcCaaccbA:0:0:1:61:6:3:0:11:3 
Pip=123125 



1.  3ply  Bar/18*  eq: 0.103 
 Player: Opponent:  49.53% (G:18.84% B:0.44%) 50.47% (G:20.11% B:0.93%)  

2.  1ply  Bar/24 13/7  eq: 0.714 (0.611) 
 Player: Opponent:  32.86% (G:7.58% B:0.13%) 67.14% (G:10.44% B:0.24%)  

3.  1ply  Bar/24 9/3  eq: 0.932 (0.830) 
 Player: Opponent:  29.35% (G:6.28% B:0.13%) 70.65% (G:12.43% B:0.34%)  

4.  1ply  Bar/24 8/2  eq: 0.940 (0.837) 
 Player: Opponent:  29.97% (G:5.79% B:0.13%) 70.03% (G:13.94% B:0.23%)  



No double 

XGID=aBBACABbcCaAccb:0:0:1:00:6:3:0:11:3 
Pip=116143 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.83% (G:20.70% B:1.14%) 
50.80% (G:20.73% B:1.14%) 
Opponent Winning Chances: 
49.17% (G:18.97% B:0.39%) 
49.20% (G:18.96% B:0.39%) 
Cubeless Equities 
+0.046 
+0.162 
Cubeful Equities 
No double:  +0.103 (0.023)  
Double/Take:  +0.126  
Double/Pass:  +1.000 (+0.874) 

Best Cube action: Double / Take 


53: Bar/20* 20/17* 

XGID=aBBACABbcCaAccb:0:0:1:53:6:3:0:11:3 
Pip=116143 



1.  3ply  Bar/20* 20/17*  eq: +1.126 
 Player: Opponent:  76.33% (G:40.41% B:2.69%) 23.67% (G:5.54% B:0.26%)  

2.  2ply  Bar/20* 8/5  eq: +0.723 (0.402) 
 Player: Opponent:  62.75% (G:26.68% B:1.27%) 37.25% (G:10.65% B:0.25%)  

3.  2ply  Bar/20* 13/10  eq: +0.554 (0.572) 
 Player: Opponent:  59.97% (G:26.30% B:1.29%) 40.03% (G:14.62% B:0.72%)  

4.  1ply  Bar/20* 6/3  eq: +0.467 (0.659) 
 Player: Opponent:  55.91% (G:25.08% B:1.70%) 44.09% (G:18.69% B:0.96%)  

5.  1ply  Bar/20* 5/2  eq: +0.436 (0.690) 
 Player: Opponent:  55.27% (G:24.30% B:1.64%) 44.73% (G:18.56% B:0.92%)  



32: Bar/23 Bar/22 

XGID=BBCaBbcCaAccbB:0:0:1:32:6:3:0:11:3 
Pip=153135 



1.  3ply  Bar/23 Bar/22  eq: 1.000 
 Player: Opponent:  27.92% (G:7.27% B:0.36%) 72.08% (G:33.05% B:1.80%)  



Double/Pass 

XGID=BBCaBbcCaAccbAA:0:0:1:00:6:3:0:11:3 
Pip=148135 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
72.12% (G:33.42% B:2.00%) 
72.10% (G:33.47% B:2.01%) 
Opponent Winning Chances: 
27.88% (G:7.14% B:0.30%) 
27.90% (G:7.16% B:0.30%) 
Cubeless Equities 
+0.727 
+1.596 
Cubeful Equities 
No double:  +0.999 (0.001)  
Double/Take:  +1.519 (+0.519)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


Wins 1pt. 



