21: 13/11 6/5 

XGID=bECeEceB:0:0:1:21:8:8:0:11:3 
Pip=167167 



1.  Book^{1}  13/11 6/5  eq: +0.022 
 Player: Opponent:  50.41% (G:14.66% B:1.29%) 49.59% (G:15.11% B:1.89%)  Conf.: ± 0.009 (+0.013...+0.031)  [99.9%] 

2.  Book^{1}  24/23 13/11  eq: +0.001 (0.020) 
 Player: Opponent:  49.95% (G:14.33% B:1.33%) 50.05% (G:13.96% B:1.19%)  Conf.: ± 0.008 (0.007...+0.010)  [0.1%] 

3.  Book^{2}  24/21  eq: 0.041 (0.063) 
 Player: Opponent:  49.24% (G:13.84% B:1.76%) 50.76% (G:14.49% B:1.76%)  Conf.: ± 0.007 (0.048...0.034)  [0.0%] 

4.  Book^{2}  13/10  eq: 0.051 (0.073) 
 Player: Opponent:  48.90% (G:15.29% B:1.96%) 51.10% (G:15.60% B:2.21%)  Conf.: ± 0.008 (0.058...0.043)  [0.0%] 

5.  Book^{3}  24/23 24/22  eq: 0.071 (0.093) 
 Player: Opponent:  48.43% (G:12.04% B:0.49%) 51.57% (G:13.04% B:0.50%)  


^{1} Generated by Stick Rice on 10/20/2010 using eXtreme Gammon 1.21 12960 Games rolled with Variance Reduction. Dice Seed: 1 Moves and cube decisions: 3ply
^{2} Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00 10368 Games rolled with Variance Reduction. Dice Seed: 38613390 Moves: 2ply, cube decisions: 3ply Red
^{3} Generated by GameSite 2000, Ltd on 5/21/2011 using eXtreme Gammon 2.00 Analyzed in XG Roller++



62: 13/11 13/7 

XGID=bADCAeDceB:0:0:1:62:8:8:0:11:3 
Pip=164167 



1.  XG Roller+  24/18 13/11  eq: 0.335 
 Player: Opponent:  43.95% (G:10.66% B:0.52%) 56.05% (G:18.42% B:0.80%)  

2.  XG Roller+  13/11 13/7  eq: 0.337 (0.003) 
 Player: Opponent:  43.23% (G:12.05% B:0.62%) 56.77% (G:18.20% B:1.22%)  

3.  4ply  24/22 13/7  eq: 0.313 (+0.022) 
 Player: Opponent:  43.49% (G:11.06% B:0.52%) 56.51% (G:17.39% B:0.88%)  

4.  4ply  13/7 6/4  eq: 0.317 (+0.017) 
 Player: Opponent:  43.50% (G:11.56% B:0.54%) 56.50% (G:17.85% B:1.28%)  

5.  4ply  24/16  eq: 0.336 (0.001) 
 Player: Opponent:  43.50% (G:9.78% B:0.43%) 56.50% (G:18.05% B:0.70%)  



65: 13/8 11/5 

XGID=bADCAcDacaeB:0:0:1:65:8:8:0:11:3 
Pip=164159 



1.  XG Roller+  24/18* 18/13  eq: +0.224 
 Player: Opponent:  54.86% (G:15.58% B:0.96%) 45.14% (G:12.06% B:0.49%)  

2.  XG Roller+  13/8 11/5  eq: +0.209 (0.015) 
 Player: Opponent:  54.20% (G:17.06% B:1.07%) 45.80% (G:12.96% B:0.57%)  

3.  4ply  24/18* 13/8  eq: +0.127 (0.097) 
 Player: Opponent:  52.93% (G:15.65% B:1.07%) 47.07% (G:14.55% B:0.86%)  

4.  4ply  11/5 8/3  eq: +0.117 (0.107) 
 Player: Opponent:  52.24% (G:16.47% B:0.98%) 47.76% (G:14.00% B:0.77%)  

5.  3ply  24/18* 11/6  eq: +0.076 (0.148) 
 Player: Opponent:  51.74% (G:14.80% B:0.99%) 48.26% (G:13.86% B:0.63%)  



22: 11/7 6/4(2) 

XGID=bBDDcCacaeB:0:0:1:22:8:8:0:11:3 
Pip=153159 



1.  3ply  11/7 6/4(2)  eq: +0.156 
 Player: Opponent:  53.69% (G:16.13% B:0.73%) 46.31% (G:13.82% B:0.67%)  

2.  3ply  24/22(2) 6/4(2)  eq: +0.021 (0.135) 
 Player: Opponent:  50.18% (G:13.64% B:0.53%) 49.82% (G:12.55% B:0.43%)  

3.  3ply  24/22(2) 11/7  eq: 0.006 (0.161) 
 Player: Opponent:  49.30% (G:12.17% B:0.41%) 50.70% (G:10.63% B:0.30%)  

4.  3ply  13/11 7/5 6/4(2)  eq: 0.092 (0.247) 
 Player: Opponent:  48.23% (G:14.89% B:0.62%) 51.77% (G:16.68% B:1.13%)  

5.  2ply  11/5 7/5  eq: 0.132 (0.288) 
 Player: Opponent:  46.89% (G:14.22% B:0.57%) 53.11% (G:15.94% B:0.76%)  



21: 24/22 6/5 

XGID=bBDDcCcbcbB:0:0:1:21:8:8:0:11:3 
Pip=153151 



1.  4ply  24/22 6/5  eq: 0.197 
 Player: Opponent:  45.94% (G:13.12% B:0.61%) 54.06% (G:17.03% B:0.64%)  

2.  4ply  24/23 24/22  eq: 0.269 (0.072) 
 Player: Opponent:  44.54% (G:12.47% B:0.60%) 55.46% (G:18.27% B:0.65%)  

3.  3ply  24/23 13/11  eq: 0.323 (0.127) 
 Player: Opponent:  43.29% (G:12.94% B:0.65%) 56.71% (G:19.09% B:0.96%)  

4.  3ply  8/5  eq: 0.338 (0.142) 
 Player: Opponent:  42.13% (G:13.16% B:0.64%) 57.87% (G:16.95% B:0.87%)  

5.  3ply  24/23 8/6  eq: 0.342 (0.145) 
 Player: Opponent:  42.81% (G:12.61% B:0.63%) 57.19% (G:19.15% B:0.74%)  



41: 8/3* 

XGID=bCCDcCcbcbAA:0:0:1:41:8:8:0:11:3 
Pip=150151 



1.  4ply  8/3*  eq: 0.032 
 Player: Opponent:  49.10% (G:15.52% B:0.63%) 50.90% (G:16.05% B:1.04%)  

2.  4ply  13/8  eq: 0.073 (0.041) 
 Player: Opponent:  48.38% (G:13.58% B:0.46%) 51.62% (G:15.09% B:0.74%)  

3.  4ply  13/9 8/7  eq: 0.111 (0.079) 
 Player: Opponent:  47.58% (G:14.03% B:0.54%) 52.42% (G:16.25% B:1.03%)  

4.  4ply  24/23 8/4  eq: 0.119 (0.088) 
 Player: Opponent:  47.92% (G:13.01% B:0.54%) 52.08% (G:16.94% B:0.67%)  

5.  3ply  24/23 13/9  eq: 0.184 (0.152) 
 Player: Opponent:  46.64% (G:12.69% B:0.54%) 53.36% (G:17.62% B:0.86%)  



42: Bar/23 24/20 

XGID=bCCDcCbbcbaAA:0:0:1:42:8:8:0:11:3 
Pip=153146 



1.  4ply  Bar/23 24/20  eq: 0.163 
 Player: Opponent:  47.57% (G:14.47% B:0.99%) 52.43% (G:20.50% B:0.70%)  

2.  4ply  Bar/23 13/9  eq: 0.267 (0.104) 
 Player: Opponent:  45.16% (G:14.21% B:0.86%) 54.84% (G:21.58% B:1.08%)  

3.  3ply  Bar/23 8/4  eq: 0.303 (0.140) 
 Player: Opponent:  45.25% (G:13.94% B:0.85%) 54.75% (G:24.05% B:1.29%)  

4.  2ply  Bar/23 6/2  eq: 0.496 (0.333) 
 Player: Opponent:  40.70% (G:11.79% B:0.60%) 59.30% (G:24.97% B:1.31%)  



44: 13/5*(2) 

XGID=bCCDcCbbcAbaA:0:0:1:44:8:8:0:11:3 
Pip=147146 



1.  3ply  13/5*(2)  eq: +0.706 
 Player: Opponent:  64.48% (G:28.98% B:1.20%) 35.52% (G:10.54% B:0.65%)  

2.  2ply  13/5* 7/3 6/2*  eq: +0.384 (0.322) 
 Player: Opponent:  56.80% (G:30.00% B:0.84%) 43.20% (G:15.01% B:1.34%)  

3.  1ply  13/5* 7/3(2)  eq: +0.084 (0.622) 
 Player: Opponent:  50.06% (G:22.53% B:0.82%) 49.94% (G:15.23% B:0.96%)  

4.  1ply  13/5* 7/3 5/1  eq: +0.073 (0.634) 
 Player: Opponent:  49.90% (G:22.71% B:0.71%) 50.10% (G:15.68% B:1.16%)  

5.  1ply  13/9 13/5* 7/3  eq: +0.072 (0.634) 
 Player: Opponent:  50.59% (G:23.80% B:0.93%) 49.41% (G:18.80% B:1.94%)  



51: Bar/24 13/8 

XGID=bCCDaCbbcbbaAA:0:0:1:51:8:8:0:11:3 
Pip=152130 



1.  4ply  Bar/24 13/8  eq: 1.039 
 Player: Opponent:  27.95% (G:6.84% B:0.39%) 72.05% (G:36.51% B:1.26%)  

2.  4ply  Bar/24 8/3  eq: 1.110 (0.071) 
 Player: Opponent:  27.94% (G:7.12% B:0.48%) 72.06% (G:41.79% B:2.76%)  



No double 

XGID=bCCEaBbbcbbaAA:0:0:1:00:8:8:0:11:3 
Pip=146130 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
72.05% (G:36.51% B:1.26%) 
72.37% (G:36.00% B:1.35%) 
Opponent Winning Chances: 
27.95% (G:6.84% B:0.39%) 
27.63% (G:6.72% B:0.38%) 
Cubeless Equities 
+0.914 
+1.862 
Cubeful Equities 
No double:  +1.039  
Double/Take:  +1.579 (+0.540)  
Double/Pass:  +1.000 (0.039) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 6.8% 


31: 24/23 6/3 

XGID=bCCEaBbbcbbaAA:0:0:1:31:8:8:0:11:3 
Pip=146130 



1.  3ply  24/23 6/3  eq: +1.089 
 Player: Opponent:  77.88% (G:27.97% B:1.36%) 22.12% (G:4.44% B:0.24%)  

2.  3ply  13/10 3/2*  eq: +0.874 (0.215) 
 Player: Opponent:  66.62% (G:30.63% B:1.51%) 33.38% (G:8.96% B:0.47%)  

3.  3ply  24/21 3/2*  eq: +0.855 (0.235) 
 Player: Opponent:  67.42% (G:29.36% B:1.47%) 32.58% (G:9.27% B:0.53%)  

4.  2ply  13/9  eq: +0.693 (0.396) 
 Player: Opponent:  64.83% (G:25.92% B:1.29%) 35.17% (G:11.31% B:0.84%)  

5.  2ply  24/23 13/10  eq: +0.637 (0.452) 
 Player: Opponent:  62.89% (G:23.45% B:1.45%) 37.11% (G:12.66% B:0.80%)  



21: 24/23 8/6 

XGID=aaCCEaBbbbbbbAA:0:0:1:21:8:8:0:11:3 
Pip=146126 



1.  4ply  24/23 8/6  eq: 1.000 
 Player: Opponent:  23.10% (G:3.66% B:0.18%) 76.90% (G:15.61% B:0.71%)  

2.  4ply  13/12* 8/6  eq: 1.019 (0.019) 
 Player: Opponent:  26.80% (G:6.87% B:0.40%) 73.20% (G:30.52% B:2.63%)  

3.  4ply  13/11 13/12*  eq: 1.031 (0.031) 
 Player: Opponent:  26.05% (G:6.41% B:0.34%) 73.95% (G:30.45% B:2.38%)  

4.  4ply  24/23 6/4  eq: 1.048 (0.048) 
 Player: Opponent:  22.83% (G:3.11% B:0.12%) 77.17% (G:25.10% B:1.39%)  

5.  4ply  24/23 5/3  eq: 1.051 (0.051) 
 Player: Opponent:  22.66% (G:3.01% B:0.11%) 77.34% (G:24.61% B:1.35%)  



No double 

XGID=aaCDDaBbbbbbbB:0:0:1:00:8:8:0:11:3 
Pip=143126 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
76.21% (G:15.56% B:0.62%) 
75.85% (G:17.09% B:0.71%) 
Opponent Winning Chances: 
23.79% (G:3.82% B:0.19%) 
24.15% (G:4.06% B:0.20%) 
Cubeless Equities 
+0.714 
+1.630 
Cubeful Equities 
No double:  +0.922 (0.078)  
Double/Take:  +1.375 (+0.375)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


52: 23/16 

XGID=aaCDDaBbbbbbbB:0:0:1:52:8:8:0:11:3 
Pip=143126 



1.  4ply  24/22 23/18  eq: +0.993 
 Player: Opponent:  79.48% (G:14.57% B:0.48%) 20.52% (G:3.39% B:0.17%)  

2.  4ply  23/18 13/11  eq: +0.983 (0.010) 
 Player: Opponent:  78.09% (G:15.20% B:0.52%) 21.91% (G:3.24% B:0.15%)  

3.  4ply  23/16  eq: +0.977 (0.016) 
 Player: Opponent:  78.11% (G:15.55% B:0.56%) 21.89% (G:3.70% B:0.20%)  

4.  4ply  24/22 13/8  eq: +0.931 (0.062) 
 Player: Opponent:  74.53% (G:15.46% B:0.54%) 25.47% (G:4.33% B:0.17%)  

5.  4ply  23/21 13/8  eq: +0.892 (0.101) 
 Player: Opponent:  73.25% (G:16.52% B:0.66%) 26.75% (G:4.94% B:0.20%)  



53: 8/3 6/3 

XGID=aCDDaaBbbbbbbB:0:0:1:53:8:8:0:11:3 
Pip=143119 



1.  4ply  8/3 6/3  eq: 1.000 
 Player: Opponent:  20.90% (G:2.30% B:0.10%) 79.10% (G:12.48% B:0.50%)  

2.  4ply  13/10 13/8  eq: 1.075 (0.075) 
 Player: Opponent:  15.81% (G:0.84% B:0.03%) 84.19% (G:15.16% B:0.56%)  

3.  4ply  8/5 8/3  eq: 1.076 (0.076) 
 Player: Opponent:  17.80% (G:1.62% B:0.06%) 82.20% (G:18.65% B:0.89%)  

4.  4ply  8/5 6/1*  eq: 1.100 (0.100) 
 Player: Opponent:  16.10% (G:1.41% B:0.05%) 83.90% (G:18.96% B:0.90%)  

5.  3ply  8/3 5/2  eq: 1.128 (0.128) 
 Player: Opponent:  18.20% (G:1.68% B:0.08%) 81.80% (G:23.62% B:1.20%)  



No double 

XGID=aBCCCaaBbbbbbbB:0:0:1:00:8:8:0:11:3 
Pip=135119 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
79.26% (G:12.52% B:0.47%) 
79.41% (G:12.42% B:0.41%) 
Opponent Winning Chances: 
20.74% (G:2.27% B:0.11%) 
20.59% (G:2.18% B:0.10%) 
Cubeless Equities 
+0.750 
+1.740 
Cubeful Equities 
No double:  +0.952 (0.048)  
Double/Take:  +1.506 (+0.506)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


41: 16/11 

XGID=aBCCCaaBbbbbbbB:0:0:1:41:8:8:0:11:3 
Pip=135119 



1.  4ply  24/23 13/9  eq: +0.993 
 Player: Opponent:  77.73% (G:14.60% B:0.47%) 22.27% (G:3.19% B:0.16%)  

2.  4ply  16/11  eq: +0.989 (0.004) 
 Player: Opponent:  77.90% (G:13.53% B:0.42%) 22.10% (G:2.73% B:0.14%)  

3.  4ply  16/15 13/9  eq: +0.976 (0.017) 
 Player: Opponent:  75.99% (G:14.77% B:0.50%) 24.01% (G:3.82% B:0.20%)  

4.  4ply  13/8  eq: +0.968 (0.026) 
 Player: Opponent:  75.90% (G:14.84% B:0.49%) 24.10% (G:3.60% B:0.16%)  

5.  1ply  13/9 8/7  eq: +0.107 (0.887) 
 Player: Opponent:  53.61% (G:14.78% B:0.64%) 46.39% (G:16.71% B:1.12%)  



32: 8/3 

XGID=aBCCCaBabbbbbbB:0:0:1:32:8:8:0:11:3 
Pip=135114 



1.  4ply  13/11 13/10  eq: 1.000 
 Player: Opponent:  19.17% (G:1.40% B:0.05%) 80.83% (G:12.36% B:0.42%)  

2.  4ply  8/3  eq: 1.000 
 Player: Opponent:  18.03% (G:1.41% B:0.05%) 81.97% (G:11.79% B:0.46%)  

3.  4ply  8/6 8/5  eq: 1.022 (0.022) 
 Player: Opponent:  17.70% (G:1.27% B:0.04%) 82.30% (G:13.31% B:0.50%)  

4.  4ply  8/5 6/4  eq: 1.025 (0.025) 
 Player: Opponent:  20.11% (G:1.78% B:0.06%) 79.89% (G:18.07% B:0.82%)  

5.  4ply  6/3 5/3  eq: 1.033 (0.033) 
 Player: Opponent:  16.33% (G:1.02% B:0.03%) 83.67% (G:13.43% B:0.55%)  



No double 

XGID=aCCCBaBabbbbbbB:0:0:1:00:8:8:0:11:3 
Pip=130114 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
81.50% (G:11.79% B:0.39%) 
81.58% (G:11.00% B:0.33%) 
Opponent Winning Chances: 
18.50% (G:1.42% B:0.05%) 
18.42% (G:1.35% B:0.05%) 
Cubeless Equities 
+0.796 
+1.834 
Cubeful Equities 
No double:  +0.995 (0.005)  
Double/Take:  +1.621 (+0.621)  
Double/Pass:  +1.000 

Best Cube action: Double / Pass 


51: 24/18 

XGID=aCCCBaBabbbbbbB:0:0:1:51:8:8:0:11:3 
Pip=130114 



1.  4ply  24/18  eq: +1.019 
 Player: Opponent:  85.87% (G:9.85% B:0.24%) 14.13% (G:0.68% B:0.03%)  

2.  4ply  24/23 13/8  eq: +1.000 (0.019) 
 Player: Opponent:  80.42% (G:11.92% B:0.33%) 19.58% (G:1.58% B:0.07%)  

3.  4ply  13/8 11/10  eq: +0.994 (0.026) 
 Player: Opponent:  78.81% (G:11.87% B:0.34%) 21.19% (G:1.84% B:0.07%)  

4.  4ply  24/23 11/6  eq: +0.992 (0.028) 
 Player: Opponent:  79.00% (G:13.85% B:0.42%) 21.00% (G:2.46% B:0.11%)  

5.  4ply  13/7  eq: +0.992 (0.028) 
 Player: Opponent:  78.47% (G:11.81% B:0.33%) 21.53% (G:1.89% B:0.07%)  



54: 8/4 8/3 

XGID=CCCaBaBabbbbbbB:0:0:1:54:8:8:0:11:3 
Pip=130108 



1.  4ply  6/1 5/1  eq: 1.037 
 Player: Opponent:  13.79% (G:0.63% B:0.01%) 86.21% (G:11.64% B:0.39%)  

2.  4ply  8/4 8/3  eq: 1.039 (0.002) 
 Player: Opponent:  14.46% (G:0.68% B:0.01%) 85.54% (G:11.93% B:0.42%)  

3.  4ply  13/9 13/8  eq: 1.055 (0.018) 
 Player: Opponent:  12.78% (G:0.22% B:0.01%) 87.22% (G:10.80% B:0.29%)  

4.  4ply  6/2 6/1  eq: 1.060 (0.023) 
 Player: Opponent:  13.19% (G:0.54% B:0.01%) 86.81% (G:12.38% B:0.46%)  

5.  4ply  8/4 6/1  eq: 1.099 (0.062) 
 Player: Opponent:  13.65% (G:0.67% B:0.01%) 86.35% (G:15.73% B:0.63%)  



No double 

XGID=DACCaaBabbbbbbB:0:0:1:00:8:8:0:11:3 
Pip=121108 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
85.54% (G:11.93% B:0.42%) 
86.06% (G:11.04% B:0.38%) 
Opponent Winning Chances: 
14.46% (G:0.68% B:0.01%) 
13.94% (G:0.59% B:0.01%) 
Cubeless Equities 
+0.892 
+2.080 
Cubeful Equities 
No double:  +1.039  
Double/Take:  +1.915 (+0.876)  
Double/Pass:  +1.000 (0.039) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 4.3% 


43: 13/6 

XGID=DACCaaBabbbbbbB:0:0:1:43:8:8:0:11:3 
Pip=121108 



1.  4ply  11/4  eq: +1.052 (+0.002) 
 Player: Opponent:  85.66% (G:12.47% B:0.35%) 14.34% (G:0.78% B:0.03%)  

2.  4ply  13/6  eq: +1.049 
 Player: Opponent:  86.18% (G:11.82% B:0.32%) 13.82% (G:0.57% B:0.03%)  

3.  4ply  13/10 11/7  eq: +1.047 (0.003) 
 Player: Opponent:  86.01% (G:11.76% B:0.31%) 13.99% (G:0.60% B:0.03%)  

4.  4ply  13/9 11/8  eq: +1.046 (0.004) 
 Player: Opponent:  85.89% (G:11.68% B:0.32%) 14.11% (G:0.60% B:0.03%)  

5.  4ply  18/15 11/7  eq: +1.023 (0.027) 
 Player: Opponent:  86.57% (G:8.81% B:0.19%) 13.43% (G:0.37% B:0.02%)  



55: 13/3(2) 

XGID=DACCaBabbcbbbB:0:0:1:55:8:8:0:11:3 
Pip=121101 



1.  4ply  13/8(2) 6/1(2)  eq: 1.027 
 Player: Opponent:  13.46% (G:0.25% B:0.00%) 86.54% (G:10.04% B:0.19%)  

2.  4ply  13/3(2)  eq: 1.046 (0.018) 
 Player: Opponent:  13.12% (G:0.30% B:0.00%) 86.88% (G:11.49% B:0.20%)  

3.  4ply  13/8 13/3 6/1  eq: 1.112 (0.084) 
 Player: Opponent:  12.25% (G:0.38% B:0.01%) 87.75% (G:15.22% B:0.52%)  

4.  3ply  13/3 6/1(2)  eq: 1.190 (0.163) 
 Player: Opponent:  10.31% (G:0.37% B:0.02%) 89.69% (G:19.45% B:0.73%)  

5.  2ply  13/8 6/1(3)  eq: 1.296 (0.269) 
 Player: Opponent:  7.86% (G:0.22% B:0.00%) 92.14% (G:24.29% B:1.10%)  



No double 

XGID=FACCaabbcbbbB:0:0:1:00:8:8:0:11:3 
Pip=101101 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
86.88% (G:11.49% B:0.20%) 
87.19% (G:10.87% B:0.20%) 
Opponent Winning Chances: 
13.12% (G:0.30% B:0.00%) 
12.81% (G:0.22% B:0.00%) 
Cubeless Equities 
+0.913 
+2.142 
Cubeful Equities 
No double:  +1.046  
Double/Take:  +1.985 (+0.940)  
Double/Pass:  +1.000 (0.046) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 4.6% 


52: 18/16 11/6 

XGID=FACCaabbcbbbB:0:0:1:52:8:8:0:11:3 
Pip=101101 



1.  4ply  11/9 6/1  eq: +1.038 (+0.006) 
 Player: Opponent:  87.13% (G:10.78% B:0.22%) 12.87% (G:0.35% B:0.01%)  

2.  4ply  11/4  eq: +1.036 (+0.003) 
 Player: Opponent:  87.17% (G:10.62% B:0.22%) 12.83% (G:0.34% B:0.01%)  

3.  4ply  18/16 6/1  eq: +1.032 
 Player: Opponent:  86.48% (G:11.16% B:0.27%) 13.52% (G:0.48% B:0.02%)  

4.  4ply  18/16 11/6  eq: +1.032 (0.001) 
 Player: Opponent:  86.92% (G:10.37% B:0.28%) 13.08% (G:0.41% B:0.01%)  

5.  4ply  8/6 8/3  eq: +1.020 (0.013) 
 Player: Opponent:  83.14% (G:17.00% B:0.61%) 16.86% (G:1.36% B:0.06%)  



55: 6/1(3) 

XGID=FACCabbdbbbB:0:0:1:55:8:8:0:11:3 
Pip=10194 



1.  3ply  6/1(3)  eq: 1.077 
 Player: Opponent:  13.68% (G:0.64% B:0.01%) 86.32% (G:15.60% B:0.45%)  



No double 

XGID=CFACabbdbbbB:0:0:1:00:8:8:0:11:3 
Pip=8694 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
86.27% (G:16.58% B:0.42%) 
87.90% (G:13.82% B:0.27%) 
Opponent Winning Chances: 
13.73% (G:0.75% B:0.01%) 
12.10% (G:0.26% B:0.00%) 
Cubeless Equities 
+0.976 
+2.250 
Cubeful Equities 
No double:  +1.087  
Double/Take:  +2.101 (+1.014)  
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: 7.9% 


42: 7/5 7/3 

XGID=CFACabbdbbbB:0:0:1:42:8:8:0:11:3 
Pip=8694 



1.  4ply  7/5 7/3  eq: +1.091 
 Player: Opponent:  86.42% (G:17.85% B:0.55%) 13.58% (G:0.53% B:0.01%)  

2.  4ply  7/3 6/4  eq: +1.071 (0.020) 
 Player: Opponent:  83.65% (G:18.74% B:0.79%) 16.35% (G:1.43% B:0.03%)  

3.  4ply  16/12 3/1  eq: +1.065 (0.026) 
 Player: Opponent:  86.81% (G:13.20% B:0.37%) 13.19% (G:0.51% B:0.01%)  

4.  4ply  16/12 6/4  eq: +1.064 (0.027) 
 Player: Opponent:  87.94% (G:12.59% B:0.33%) 12.06% (G:0.28% B:0.00%)  

5.  4ply  16/10  eq: +1.058 (0.033) 
 Player: Opponent:  87.65% (G:12.33% B:0.39%) 12.35% (G:0.32% B:0.00%)  



63: 5/2 

XGID=CFACabdcbcB:0:0:1:63:8:8:0:11:3 
Pip=8688 



1.  4ply  4/1  eq: 1.093 
 Player: Opponent:  11.63% (G:0.30% B:0.00%) 88.37% (G:15.04% B:0.33%)  

2.  4ply  5/2  eq: 1.112 (0.019) 
 Player: Opponent:  11.81% (G:0.38% B:0.00%) 88.19% (G:16.45% B:0.45%)  



No double 

XGID=CAFABabdcbcB:0:0:1:00:8:8:0:11:3 
Pip=8388 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
88.19% (G:16.45% B:0.45%) 
88.42% (G:15.83% B:0.45%) 
Opponent Winning Chances: 
11.81% (G:0.38% B:0.00%) 
11.58% (G:0.33% B:0.00%) 
Cubeless Equities 
+1.019 
+2.325 
Cubeful Equities 
No double:  +1.112  
Double/Take:  +2.184 (+1.072)  
Double/Pass:  +1.000 (0.112) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 9.5% 


43: 16/12 6/3 

XGID=CAFABabdcbcB:0:0:1:43:8:8:0:11:3 
Pip=8388 



1.  XG Roller+  16/13 5/1  eq: +1.108 
 Player: Opponent:  85.94% (G:19.89% B:1.04%) 14.06% (G:0.65% B:0.01%)  

2.  XG Roller+  16/12 6/3  eq: +1.099 (0.009) 
 Player: Opponent:  86.90% (G:17.00% B:0.81%) 13.10% (G:0.67% B:0.01%)  

3.  4ply  6/3 5/1  eq: +1.078 (0.030) 
 Player: Opponent:  85.81% (G:16.87% B:0.57%) 14.19% (G:0.61% B:0.01%)  

4.  4ply  16/13 8/4  eq: +1.059 (0.049) 
 Player: Opponent:  82.07% (G:21.30% B:1.13%) 17.93% (G:1.24% B:0.02%)  

5.  4ply  8/1  eq: +1.049 (0.059) 
 Player: Opponent:  80.96% (G:22.94% B:1.02%) 19.04% (G:1.66% B:0.03%)  



63: 5/2 

XGID=CAFABabccbdB:0:0:1:63:8:8:0:11:3 
Pip=8381 



1.  4ply  5/2  eq: 1.051 
 Player: Opponent:  11.09% (G:0.22% B:0.00%) 88.91% (G:11.10% B:0.27%)  

2.  4ply  4/1  eq: 1.053 (0.002) 
 Player: Opponent:  10.83% (G:0.19% B:0.00%) 89.17% (G:11.07% B:0.26%)  



No double 

XGID=CBFAAabccbdB:0:0:1:00:8:8:0:11:3 
Pip=8081 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
88.91% (G:11.10% B:0.27%) 
88.99% (G:10.53% B:0.25%) 
Opponent Winning Chances: 
11.09% (G:0.22% B:0.00%) 
11.01% (G:0.18% B:0.00%) 
Cubeless Equities 
+0.950 
+2.225 
Cubeful Equities 
No double:  +1.051  
Double/Take:  +2.093 (+1.042)  
Double/Pass:  +1.000 (0.051) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 4.7% 


21: 5/4 3/1 

XGID=CBFAAabccbdB:0:0:1:21:8:8:0:11:3 
Pip=8081 



1.  4ply  5/4 3/1  eq: +1.129 
 Player: Opponent:  88.93% (G:16.65% B:0.61%) 11.07% (G:0.38% B:0.01%)  

2.  4ply  6/5 3/1  eq: +1.101 (0.027) 
 Player: Opponent:  88.30% (G:15.62% B:0.54%) 11.70% (G:0.46% B:0.01%)  

3.  4ply  12/11 3/1  eq: +1.097 (0.032) 
 Player: Opponent:  88.56% (G:15.92% B:0.56%) 11.44% (G:0.33% B:0.01%)  

4.  4ply  12/11 6/4  eq: +1.039 (0.089) 
 Player: Opponent:  87.31% (G:12.51% B:0.41%) 12.69% (G:0.23% B:0.00%)  

5.  4ply  6/4 5/4  eq: +1.031 (0.097) 
 Player: Opponent:  86.30% (G:10.96% B:0.36%) 13.70% (G:0.31% B:0.01%)  



62: 4/2 

XGID=CBFAAabcbccBa:0:0:1:62:8:8:0:11:3 
Pip=8078 



1.  4ply  5/3  eq: 1.070 (+0.001) 
 Player: Opponent:  10.00% (G:0.15% B:0.00%) 90.00% (G:11.80% B:0.25%)  

2.  4ply  4/2  eq: 1.072 
 Player: Opponent:  10.21% (G:0.14% B:0.00%) 89.79% (G:11.93% B:0.26%)  

3.  4ply  3/1  eq: 1.074 (0.003) 
 Player: Opponent:  10.40% (G:0.18% B:0.00%) 89.60% (G:12.40% B:0.29%)  



No double 

XGID=CCFAabcbccBa:0:0:1:00:8:8:0:11:3 
Pip=7878 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
89.79% (G:11.93% B:0.26%) 
89.94% (G:11.59% B:0.25%) 
Opponent Winning Chances: 
10.21% (G:0.14% B:0.00%) 
10.06% (G:0.12% B:0.00%) 
Cubeless Equities 
+0.982 
+2.301 
Cubeful Equities 
No double:  +1.072  
Double/Take:  +2.181 (+1.109)  
Double/Pass:  +1.000 (0.072) 

Best Cube action: Too good to double / Pass 
Percentage of wrong take needed to make the double decision right: 6.1% 


33: 12/6 8/5(2) 

XGID=CCFAabcbccBa:0:0:1:33:8:8:0:11:3 
Pip=7878 



1.  XG Roller+  12/9 8/5(2) 4/1  eq: +1.090 
 Player: Opponent:  91.32% (G:12.54% B:0.23%) 8.68% (G:0.06% B:0.00%)  

2.  XG Roller+  12/6 8/5(2)  eq: +1.078 (0.011) 
 Player: Opponent:  89.97% (G:11.70% B:0.21%) 10.03% (G:0.04% B:0.00%)  

3.  4ply  8/5(2) 6/3 4/1  eq: +1.082 (0.008) 
 Player: Opponent:  89.89% (G:13.24% B:0.28%) 10.11% (G:0.09% B:0.00%)  

4.  4ply  12/6 8/5 4/1  eq: +1.044 (0.046) 
 Player: Opponent:  87.29% (G:13.81% B:0.24%) 12.71% (G:0.13% B:0.00%)  

5.  4ply  12/3 4/1  eq: +1.038 (0.052) 
 Player: Opponent:  90.00% (G:8.99% B:0.16%) 10.00% (G:0.08% B:0.00%)  



55: 23/18 23/8 

XGID=CCFAddccBa:0:0:1:55:8:8:0:11:3 
Pip=7866 



1.  4ply  23/18 23/8  eq: 0.596 
 Player: Opponent:  31.98% (G:0.00% B:0.00%) 68.02% (G:0.00% B:0.00%)  

2.  4ply  23/13(2)  eq: 0.639 (0.043) 
 Player: Opponent:  31.26% (G:0.00% B:0.00%) 68.74% (G:0.00% B:0.00%)  

3.  4ply  23/3  eq: 1.000 (0.404) 
 Player: Opponent:  12.36% (G:0.04% B:0.00%) 87.64% (G:2.61% B:0.05%)  



No double 

XGID=CCFAAAddcca:0:0:1:00:8:8:0:11:3 
Pip=5866 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
68.12% (G:0.00% B:0.00%) 
68.12% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
31.88% (G:0.00% B:0.00%) 
31.88% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.362 
+0.914 
Cubeful Equities 
No double:  +0.572  
Double/Take:  +0.555 (0.017)  
Double/Pass:  +1.000 (+0.428) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 3.6% 


64: 6/Off 4/Off 

XGID=CCFAAAddcca:0:0:1:64:8:8:0:11:3 
Pip=5866 



1.  4ply  6/Off 4/Off  eq: +0.809 
 Player: Opponent:  72.94% (G:0.00% B:0.00%) 27.06% (G:0.00% B:0.00%)  

2.  4ply  6/2 6/Off  eq: +0.787 (0.022) 
 Player: Opponent:  72.14% (G:0.00% B:0.00%) 27.86% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/1  eq: +0.758 (0.051) 
 Player: Opponent:  71.14% (G:0.00% B:0.00%) 28.86% (G:0.00% B:0.00%)  



65: 18/12 8/3 

XGID=CCFAAAcdbca:0:0:1:65:8:8:0:11:3 
Pip=5856 



1.  4ply  18/12 8/3  eq: 0.689 
 Player: Opponent:  30.18% (G:0.00% B:0.00%) 69.82% (G:0.00% B:0.00%)  

2.  4ply  18/7  eq: 0.693 (0.005) 
 Player: Opponent:  30.01% (G:0.00% B:0.00%) 69.99% (G:0.00% B:0.00%)  

3.  3ply  18/13 8/2  eq: 0.849 (0.160) 
 Player: Opponent:  27.67% (G:0.00% B:0.00%) 72.33% (G:0.00% B:0.00%)  



Double/Take 

XGID=CCGAAcdbca:0:0:1:00:8:8:0:11:3 
Pip=4756 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
69.82% (G:0.00% B:0.00%) 
69.82% (G:0.00% B:0.00%) 
Opponent Winning Chances: 
30.18% (G:0.00% B:0.00%) 
30.18% (G:0.00% B:0.00%) 
Cubeless Equities 
+0.396 
+0.999 
Cubeful Equities 
No double:  +0.627 (0.062)  
Double/Take:  +0.689  
Double/Pass:  +1.000 (+0.311) 

Best Cube action: Double / Take 


41: 4/Off 1/Off 

XGID=CCGAAcdbca:1:1:1:41:8:8:0:11:3 
Pip=4756 



1.  4ply  4/Off 1/Off  eq: +0.091 
 Player: Opponent:  62.43% (G:0.00% B:0.00%) 37.57% (G:0.00% B:0.00%)  

2.  4ply  4/Off 3/2  eq: +0.064 (0.027) 
 Player: Opponent:  61.29% (G:0.00% B:0.00%) 38.71% (G:0.00% B:0.00%)  

3.  4ply  5/Off  eq: +0.063 (0.028) 
 Player: Opponent:  61.24% (G:0.00% B:0.00%) 38.76% (G:0.00% B:0.00%)  

4.  4ply  6/2 5/4  eq: +0.031 (0.060) 
 Player: Opponent:  59.91% (G:0.00% B:0.00%) 40.09% (G:0.00% B:0.00%)  

5.  3ply  6/2 1/Off  eq: +0.062 (0.029) 
 Player: Opponent:  61.06% (G:0.00% B:0.00%) 38.94% (G:0.00% B:0.00%)  



51: 12/7 5/4 

XGID=CCGAAcdac:1:1:1:51:8:8:0:11:3 
Pip=4751 



1.  4ply  12/6  eq: 0.233 
 Player: Opponent:  31.62% (G:0.00% B:0.00%) 68.38% (G:0.00% B:0.00%)  

2.  4ply  12/7 5/4  eq: 0.241 (0.008) 
 Player: Opponent:  31.27% (G:0.00% B:0.00%) 68.73% (G:0.00% B:0.00%)  

3.  4ply  12/7 3/2  eq: 0.269 (0.036) 
 Player: Opponent:  30.14% (G:0.00% B:0.00%) 69.86% (G:0.00% B:0.00%)  

4.  3ply  12/7 2/1  eq: 0.325 (0.092) 
 Player: Opponent:  27.98% (G:0.00% B:0.00%) 72.02% (G:0.00% B:0.00%)  



33: 6/Off 3/Off(2) 

XGID=CCGAAcdac:1:1:1:33:8:8:0:11:3 
Pip=4151 



1.  4ply  5/2 3/Off(3)  eq: +0.600 
 Player: Opponent:  83.28% (G:0.00% B:0.00%) 16.72% (G:0.00% B:0.00%)  

2.  4ply  6/Off 3/Off(2)  eq: +0.594 (0.006) 
 Player: Opponent:  83.04% (G:0.00% B:0.00%) 16.96% (G:0.00% B:0.00%)  

3.  4ply  6/Off 5/2 3/Off  eq: +0.576 (0.025) 
 Player: Opponent:  82.39% (G:0.00% B:0.00%) 17.61% (G:0.00% B:0.00%)  

4.  4ply  6/Off 5/2(2)  eq: +0.500 (0.100) 
 Player: Opponent:  79.26% (G:0.00% B:0.00%) 20.74% (G:0.00% B:0.00%)  

5.  4ply  6/3 5/2(3)  eq: +0.324 (0.276) 
 Player: Opponent:  72.06% (G:0.00% B:0.00%) 27.94% (G:0.00% B:0.00%)  



11: 7/6 1/Off(3) 

XGID=CCGAAbdaa:1:1:1:11:8:8:0:11:3 
Pip=4139 



1.  4ply  7/6 1/Off(3)  eq: 0.599 
 Player: Opponent:  16.58% (G:0.00% B:0.00%) 83.42% (G:0.00% B:0.00%)  

2.  4ply  7/6 3/2 1/Off(2)  eq: 0.653 (0.054) 
 Player: Opponent:  14.37% (G:0.00% B:0.00%) 85.63% (G:0.00% B:0.00%)  

3.  4ply  7/5 1/Off(2)  eq: 0.655 (0.056) 
 Player: Opponent:  14.27% (G:0.00% B:0.00%) 85.73% (G:0.00% B:0.00%)  

4.  4ply  7/5 3/2 1/Off  eq: 0.694 (0.094) 
 Player: Opponent:  12.69% (G:0.00% B:0.00%) 87.31% (G:0.00% B:0.00%)  

5.  4ply  7/5 3/2(2)  eq: 0.854 (0.255) 
 Player: Opponent:  6.04% (G:0.00% B:0.00%) 93.96% (G:0.00% B:0.00%)  



61: 6/Off 5/4 

XGID=CGAAbdaa:1:1:1:61:8:8:0:11:3 
Pip=3739 



1.  3ply  6/Off 5/4  eq: +0.566 
 Player: Opponent:  82.02% (G:0.00% B:0.00%) 17.98% (G:0.00% B:0.00%)  

2.  1ply  6/Off 3/2  eq: +0.531 (0.035) 
 Player: Opponent:  80.57% (G:0.00% B:0.00%) 19.43% (G:0.00% B:0.00%)  

3.  1ply  6/Off 4/3  eq: +0.507 (0.059) 
 Player: Opponent:  79.55% (G:0.00% B:0.00%) 20.45% (G:0.00% B:0.00%)  

4.  1ply  6/5 6/Off  eq: +0.485 (0.081) 
 Player: Opponent:  78.65% (G:0.00% B:0.00%) 21.35% (G:0.00% B:0.00%)  



51: 6/Off 

XGID=CGAAacba:1:1:1:51:8:8:0:11:3 
Pip=3732 



1.  4ply  6/Off  eq: 0.711 
 Player: Opponent:  11.95% (G:0.00% B:0.00%) 88.05% (G:0.00% B:0.00%)  

2.  4ply  6/1 2/1  eq: 0.732 (0.021) 
 Player: Opponent:  11.08% (G:0.00% B:0.00%) 88.92% (G:0.00% B:0.00%)  

3.  1ply  6/1 3/2  eq: 0.746 (0.035) 
 Player: Opponent:  10.51% (G:0.00% B:0.00%) 89.49% (G:0.00% B:0.00%)  

4.  1ply  6/1 4/3  eq: 0.769 (0.058) 
 Player: Opponent:  9.57% (G:0.00% B:0.00%) 90.43% (G:0.00% B:0.00%)  



62: 6/Off 4/2 

XGID=CGAacba:1:1:1:62:8:8:0:11:3 
Pip=3132 



1.  3ply  6/Off 4/2  eq: +0.719 
 Player: Opponent:  88.37% (G:0.00% B:0.00%) 11.63% (G:0.00% B:0.00%)  

2.  1ply  6/Off 5/3  eq: +0.718 (0.001) 
 Player: Opponent:  88.32% (G:0.00% B:0.00%) 11.68% (G:0.00% B:0.00%)  

3.  1ply  6/Off 3/1  eq: +0.707 (0.013) 
 Player: Opponent:  87.84% (G:0.00% B:0.00%) 12.16% (G:0.00% B:0.00%)  

4.  1ply  6/4 5/Off  eq: +0.654 (0.065) 
 Player: Opponent:  85.66% (G:0.00% B:0.00%) 14.34% (G:0.00% B:0.00%)  



63: 4/Off 3/Off 

XGID=CGAcaaa:1:1:1:63:8:8:0:11:3 
Pip=3124 



1.  4ply  4/Off 3/Off  eq: 0.767 
 Player: Opponent:  9.68% (G:0.00% B:0.00%) 90.32% (G:0.00% B:0.00%)  

2.  4ply  4/1 3/Off  eq: 0.812 (0.045) 
 Player: Opponent:  7.84% (G:0.00% B:0.00%) 92.16% (G:0.00% B:0.00%)  



32: 3/Off 2/Off 

XGID=CFcaaa:1:1:1:32:8:8:0:11:3 
Pip=2424 



1.  4ply  3/Off 2/Off  eq: +0.689 
 Player: Opponent:  86.13% (G:0.00% B:0.00%) 13.87% (G:0.00% B:0.00%)  

2.  4ply  5/Off  eq: +0.666 (0.024) 
 Player: Opponent:  85.20% (G:0.00% B:0.00%) 14.80% (G:0.00% B:0.00%)  

3.  4ply  5/3 5/2  eq: +0.504 (0.185) 
 Player: Opponent:  78.40% (G:0.00% B:0.00%) 21.60% (G:0.00% B:0.00%)  

4.  1ply  4/1 2/Off  eq: +0.530 (0.160) 
 Player: Opponent:  80.50% (G:0.00% B:0.00%) 19.50% (G:0.00% B:0.00%)  

5.  1ply  4/2 3/Off  eq: +0.504 (0.186) 
 Player: Opponent:  79.43% (G:0.00% B:0.00%) 20.57% (G:0.00% B:0.00%)  



33: 3/Off(4) 

XGID=CFca:1:1:1:33:8:8:0:11:3 
Pip=2419 



1.  3ply  3/Off(4)  eq: 0.054 
 Player: Opponent:  41.71% (G:0.00% B:0.00%) 58.29% (G:0.00% B:0.00%)  



54: 5/Off 4/Off 

XGID=CBca:1:1:1:54:8:8:0:11:3 
Pip=1219 



1.  4ply  5/Off 4/Off  eq: +0.458 
 Player: Opponent:  73.42% (G:0.00% B:0.00%) 26.58% (G:0.00% B:0.00%)  

2.  4ply  5/1 5/Off  eq: +0.411 (0.046) 
 Player: Opponent:  71.12% (G:0.00% B:0.00%) 28.88% (G:0.00% B:0.00%)  



62: 3/Off 2/Off 

XGID=CBb:1:1:1:62:8:8:0:11:3 
Pip=1210 



1.  4ply  3/Off 2/Off  eq: 0.624 
 Player: Opponent:  18.53% (G:0.00% B:0.00%) 81.47% (G:0.00% B:0.00%)  

2.  4ply  3/1 3/Off  eq: 0.631 (0.007) 
 Player: Opponent:  17.93% (G:0.00% B:0.00%) 82.07% (G:0.00% B:0.00%)  



65: 5/Off(2) 

XGID=BAb:1:1:1:65:8:8:0:11:3 
Pip=710 



1.  3ply  5/Off(2)  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 2pts. 



