64: 8/2 6/2 

XGID=bECeEceB:0:0:1:64:2:6:0:11:3 
Pip=167167 



1.  Book^{1}  8/2 6/2  eq: +0.164 
 Player: Opponent:  49.79% (G:15.20% B:0.73%) 50.21% (G:13.58% B:0.61%)  

2.  Book^{1}  24/18 13/9  eq: +0.152 (0.012) 
 Player: Opponent:  50.38% (G:13.23% B:0.60%) 49.62% (G:13.39% B:0.59%)  

3.  Book^{1}  24/14  eq: +0.134 (0.030) 
 Player: Opponent:  50.50% (G:11.70% B:0.48%) 49.50% (G:12.65% B:0.47%)  

4.  Book^{1}  24/20 13/7  eq: +0.080 (0.084) 
 Player: Opponent:  48.23% (G:13.11% B:0.55%) 51.77% (G:13.91% B:0.62%)  

5.  Book^{1}  13/9 13/7  eq: +0.075 (0.089) 
 Player: Opponent:  47.86% (G:13.83% B:0.63%) 52.14% (G:14.58% B:0.91%)  


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



65: 24/13 

XGID=bBDBeEceB:0:0:1:65:2:6:0:11:3 
Pip=157167 



1.  4ply  24/13  eq: 0.214 
 Player: Opponent:  49.03% (G:10.26% B:0.44%) 50.97% (G:15.31% B:0.40%)  

2.  4ply  24/18 13/8  eq: 0.279 (0.066) 
 Player: Opponent:  47.76% (G:11.60% B:0.59%) 52.24% (G:17.66% B:0.62%)  

3.  3ply  13/8 13/7  eq: 0.322 (0.109) 
 Player: Opponent:  46.15% (G:12.59% B:0.59%) 53.85% (G:16.83% B:1.04%)  

4.  3ply  13/2  eq: 0.414 (0.201) 
 Player: Opponent:  44.15% (G:11.99% B:0.57%) 55.85% (G:18.08% B:1.20%)  

5.  2ply  13/7 8/3  eq: 0.496 (0.282) 
 Player: Opponent:  42.82% (G:10.91% B:0.48%) 57.18% (G:21.09% B:1.89%)  



No double 

XGID=aBDBfEceB:0:0:1:00:2:6:0:11:3 
Pip=157156 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.97% (G:15.31% B:0.40%) 
50.79% (G:15.69% B:0.39%) 
Opponent Winning Chances: 
49.03% (G:10.26% B:0.44%) 
49.21% (G:10.36% B:0.47%) 
Cubeless Equities 
+0.065 
+0.195 
Cubeful Equities 
No double:  +0.214  
Double/Take:  +0.071 (0.142)  
Double/Pass:  +1.000 (+0.786) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.3% 


65: 24/13 

XGID=aBDBfEceB:0:0:1:65:2:6:0:11:3 
Pip=157156 



1.  4ply  24/13  eq: +0.189 
 Player: Opponent:  51.64% (G:11.95% B:0.27%) 48.36% (G:9.57% B:0.31%)  

2.  4ply  24/18 13/8  eq: +0.163 (0.026) 
 Player: Opponent:  50.27% (G:13.66% B:0.42%) 49.73% (G:11.17% B:0.40%)  

3.  4ply  13/8 13/7  eq: +0.115 (0.074) 
 Player: Opponent:  47.74% (G:15.82% B:0.33%) 52.26% (G:11.52% B:0.59%)  

4.  4ply  13/7 6/1*  eq: +0.085 (0.104) 
 Player: Opponent:  47.06% (G:15.18% B:0.23%) 52.94% (G:11.92% B:0.72%)  

5.  3ply  24/18 6/1*  eq: +0.057 (0.133) 
 Player: Opponent:  47.38% (G:13.49% B:0.29%) 52.62% (G:12.24% B:0.58%)  



61: 13/7 8/7 

XGID=aBDBfFceA:0:0:1:61:2:6:0:11:3 
Pip=146156 



1.  3ply  13/7 8/7  eq: 0.147 
 Player: Opponent:  49.35% (G:9.91% B:0.30%) 50.65% (G:11.47% B:0.23%)  

2.  3ply  13/6  eq: 0.343 (0.196) 
 Player: Opponent:  44.33% (G:8.23% B:0.25%) 55.67% (G:13.59% B:0.26%)  

3.  2ply  13/7 6/5  eq: 0.449 (0.302) 
 Player: Opponent:  42.08% (G:9.34% B:0.33%) 57.92% (G:17.01% B:0.77%)  

4.  2ply  8/1*  eq: 0.501 (0.354) 
 Player: Opponent:  40.00% (G:8.05% B:0.22%) 60.00% (G:15.86% B:0.53%)  

5.  2ply  24/18 8/7  eq: 0.557 (0.410) 
 Player: Opponent:  39.77% (G:6.82% B:0.24%) 60.23% (G:17.55% B:0.43%)  



No double 

XGID=aBDBeFbbeA:0:0:1:00:2:6:0:11:3 
Pip=146149 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
51.60% (G:11.42% B:0.28%) 
51.57% (G:11.42% B:0.28%) 
Opponent Winning Chances: 
48.40% (G:9.69% B:0.28%) 
48.43% (G:9.65% B:0.28%) 
Cubeless Equities 
+0.047 
+0.139 
Cubeful Equities 
No double:  +0.175  
Double/Take:  +0.017 (0.158)  
Double/Pass:  +1.000 (+0.825) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.8% 


32: 13/11 13/10 

XGID=aBDBeFbbeA:0:0:1:32:2:6:0:11:3 
Pip=146149 



1.  4ply  24/22 13/10  eq: +0.059 (+0.003) 
 Player: Opponent:  48.64% (G:9.87% B:0.24%) 51.36% (G:10.68% B:0.33%)  

2.  4ply  24/21 13/11  eq: +0.056 (+0.000) 
 Player: Opponent:  48.88% (G:9.55% B:0.27%) 51.12% (G:11.48% B:0.36%)  

3.  4ply  13/11 13/10  eq: +0.056 
 Player: Opponent:  47.60% (G:11.92% B:0.28%) 52.40% (G:11.09% B:0.40%)  

4.  4ply  13/8  eq: +0.033 (0.023) 
 Player: Opponent:  47.67% (G:10.53% B:0.24%) 52.33% (G:11.60% B:0.33%)  

5.  3ply  13/10 6/4  eq: 0.105 (0.161) 
 Player: Opponent:  43.57% (G:10.53% B:0.32%) 56.43% (G:12.97% B:0.56%)  



31: 8/5 6/5 

XGID=aBDBAAeDbbeA:0:0:1:31:2:6:0:11:3 
Pip=141149 



1.  3ply  8/5 6/5  eq: 0.134 
 Player: Opponent:  50.20% (G:12.16% B:0.47%) 49.80% (G:13.29% B:0.30%)  

2.  3ply  13/9  eq: 0.308 (0.174) 
 Player: Opponent:  45.77% (G:9.37% B:0.36%) 54.23% (G:14.73% B:0.33%)  

3.  2ply  13/10 6/5  eq: 0.404 (0.270) 
 Player: Opponent:  44.22% (G:9.91% B:0.44%) 55.78% (G:18.66% B:0.85%)  

4.  2ply  24/21 6/5  eq: 0.430 (0.296) 
 Player: Opponent:  43.78% (G:8.77% B:0.41%) 56.22% (G:19.92% B:0.55%)  

5.  2ply  24/20  eq: 0.449 (0.315) 
 Player: Opponent:  43.20% (G:7.85% B:0.34%) 56.80% (G:19.17% B:0.34%)  



No double 

XGID=aBDBAAeDabdbA:0:0:1:00:2:6:0:11:3 
Pip=141145 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
50.37% (G:13.34% B:0.36%) 
50.44% (G:13.39% B:0.36%) 
Opponent Winning Chances: 
49.63% (G:12.12% B:0.39%) 
49.56% (G:12.14% B:0.41%) 
Cubeless Equities 
+0.017 
+0.095 
Cubeful Equities 
No double:  +0.151  
Double/Take:  0.008 (0.159)  
Double/Pass:  +1.000 (+0.849) 

Best Cube action: No double / Take 
Percentage of wrong pass needed to make the double decision right: 13.6% 


64: 13/7 11/7 

XGID=aBDBAAeDabdbA:0:0:1:64:2:6:0:11:3 
Pip=141145 



1.  4ply  10/4 8/4  eq: +0.011 
 Player: Opponent:  45.41% (G:14.47% B:0.30%) 54.59% (G:13.07% B:0.52%)  

2.  4ply  13/7 11/7  eq: +0.007 (0.004) 
 Player: Opponent:  45.83% (G:12.93% B:0.29%) 54.17% (G:12.54% B:0.45%)  

3.  3ply  11/1*  eq: 0.207 (0.218) 
 Player: Opponent:  40.35% (G:12.10% B:0.30%) 59.65% (G:16.29% B:0.75%)  

4.  2ply  13/9 11/5  eq: 0.302 (0.313) 
 Player: Opponent:  38.08% (G:11.00% B:0.32%) 61.92% (G:18.45% B:1.21%)  

5.  2ply  13/7 10/6  eq: 0.303 (0.313) 
 Player: Opponent:  37.86% (G:10.60% B:0.25%) 62.14% (G:17.01% B:0.85%)  



44: 24/16 13/9(2) 

XGID=aBDBBAeCabdbA:0:0:1:44:2:6:0:11:3 
Pip=131145 



1.  4ply  24/16 13/9(2)  eq: +0.077 
 Player: Opponent:  56.83% (G:11.66% B:0.43%) 43.17% (G:12.39% B:0.32%)  

2.  4ply  13/9(2) 6/2(2)  eq: +0.071 (0.006) 
 Player: Opponent:  55.59% (G:14.78% B:0.39%) 44.41% (G:11.87% B:0.30%)  

3.  4ply  13/9(2) 13/5  eq: 0.016 (0.093) 
 Player: Opponent:  53.39% (G:14.05% B:0.48%) 46.61% (G:12.75% B:0.37%)  

4.  3ply  13/9(2) 7/3(2)  eq: 0.079 (0.157) 
 Player: Opponent:  50.50% (G:13.87% B:0.43%) 49.50% (G:11.17% B:0.24%)  

5.  3ply  24/20 13/9(3)  eq: 0.081 (0.158) 
 Player: Opponent:  53.24% (G:12.56% B:0.60%) 46.76% (G:15.38% B:0.26%)  



52: 24/17* 

XGID=BDBBaAcCbabdbA:0:0:1:52:2:6:0:11:3 
Pip=131129 



1.  3ply  24/17*  eq: +0.410 
 Player: Opponent:  56.90% (G:15.09% B:0.39%) 43.10% (G:9.95% B:0.40%)  

2.  1ply  24/22 10/5  eq: 0.489 (0.899) 
 Player: Opponent:  32.82% (G:4.72% B:0.09%) 67.18% (G:11.00% B:0.14%)  

3.  1ply  10/5 7/5  eq: 0.508 (0.918) 
 Player: Opponent:  31.26% (G:4.41% B:0.09%) 68.74% (G:7.63% B:0.15%)  

4.  1ply  24/22 13/8  eq: 0.579 (0.989) 
 Player: Opponent:  30.49% (G:5.10% B:0.12%) 69.51% (G:14.19% B:0.25%)  

5.  1ply  10/5 6/4  eq: 0.595 (1.005) 
 Player: Opponent:  29.00% (G:4.06% B:0.07%) 71.00% (G:9.35% B:0.21%)  



54: Bar/21 13/8* 

XGID=aBDBBaAcCbAbdb:0:0:1:54:2:6:0:11:3 
Pip=124146 



1.  3ply  Bar/21 13/8*  eq: 0.022 
 Player: Opponent:  53.88% (G:15.99% B:0.66%) 46.12% (G:16.63% B:0.69%)  

2.  2ply  Bar/16  eq: 0.400 (0.378) 
 Player: Opponent:  37.60% (G:3.31% B:0.10%) 62.40% (G:2.68% B:0.03%)  

3.  1ply  Bar/21 16/11  eq: 0.737 (0.714) 
 Player: Opponent:  34.14% (G:5.60% B:0.23%) 65.86% (G:14.35% B:0.20%)  

4.  1ply  Bar/20 13/9  eq: 0.955 (0.933) 
 Player: Opponent:  31.58% (G:5.69% B:0.23%) 68.42% (G:19.10% B:0.26%)  

5.  1ply  Bar/20 6/2  eq: 1.000 (0.978) 
 Player: Opponent:  29.74% (G:5.87% B:0.25%) 70.26% (G:22.66% B:0.40%)  



No double 

XGID=BaDBBaAbCbabdbA:0:0:1:00:2:6:0:11:3 
Pip=132137 



Analyzed in 4ply 
No double 
Double/Take 
Player Winning Chances: 
45.95% (G:16.65% B:0.80%) 
45.95% (G:16.65% B:0.80%) 
Opponent Winning Chances: 
54.05% (G:15.86% B:0.65%) 
54.05% (G:15.84% B:0.65%) 
Cubeless Equities 
0.074 
0.065 
Cubeful Equities 
No double:  +0.010  
Double/Take:  0.151 (0.162)  
Double/Pass:  +1.000 (+0.990) 

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


31: Bar/22 10/9* 

XGID=BaDBBaAbCbabdbA:0:0:1:31:2:6:0:11:3 
Pip=132137 



1.  3ply  Bar/22 10/9*  eq: +0.174 
 Player: Opponent:  49.98% (G:16.73% B:0.86%) 50.02% (G:13.68% B:0.51%)  

2.  2ply  Bar/24 13/10  eq: 0.112 (0.286) 
 Player: Opponent:  42.05% (G:12.77% B:0.36%) 57.95% (G:13.30% B:0.44%)  

3.  2ply  Bar/24 10/7  eq: 0.260 (0.434) 
 Player: Opponent:  38.39% (G:9.93% B:0.24%) 61.61% (G:12.80% B:0.39%)  

4.  2ply  Bar/24 7/4*  eq: 0.303 (0.477) 
 Player: Opponent:  36.80% (G:13.91% B:0.60%) 63.20% (G:21.81% B:1.61%)  

5.  1ply  Bar/21  eq: 0.448 (0.623) 
 Player: Opponent:  34.77% (G:9.60% B:0.53%) 65.23% (G:22.35% B:0.86%)  



32: Bar/22 8/6 

XGID=aBaDBBAbCbabdbA:0:0:1:32:2:6:0:11:3 
Pip=128146 



1.  4ply  Bar/22 8/6  eq: 0.567 
 Player: Opponent:  41.98% (G:10.95% B:0.56%) 58.02% (G:23.51% B:0.67%)  

2.  4ply  Bar/20  eq: 0.607 (0.040) 
 Player: Opponent:  42.14% (G:10.52% B:0.50%) 57.86% (G:24.69% B:1.32%)  

3.  2ply  Bar/22 6/4  eq: 0.861 (0.295) 
 Player: Opponent:  40.07% (G:10.40% B:0.60%) 59.93% (G:30.92% B:2.58%)  

4.  2ply  Bar/22 7/5  eq: 1.000 (0.433) 
 Player: Opponent:  35.88% (G:10.16% B:0.55%) 64.12% (G:31.63% B:2.59%)  

5.  2ply  Bar/22 13/11  eq: 1.000 (0.433) 
 Player: Opponent:  36.95% (G:10.04% B:0.67%) 63.05% (G:34.29% B:4.45%)  



No double 

XGID=BaaDBBAbCbbebA:0:0:1:00:2:6:0:11:3 
Pip=128141 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
57.50% (G:24.01% B:0.63%) 
57.37% (G:24.72% B:0.63%) 
Opponent Winning Chances: 
42.50% (G:11.28% B:0.56%) 
42.63% (G:11.69% B:0.61%) 
Cubeless Equities 
+0.268 
+0.637 
Cubeful Equities 
No double:  +0.471 (0.092)  
Double/Take:  +0.563  
Double/Pass:  +1.000 (+0.437) 

Best Cube action: Double / Take 


66: 13/1 9/3* 7/1 

XGID=BaaDBBAbCbbebA:0:0:1:66:2:6:0:11:3 
Pip=128141 



1.  4ply  13/1 9/3* 7/1  eq: +0.183 
 Player: Opponent:  49.99% (G:22.20% B:0.34%) 50.01% (G:14.45% B:0.77%)  

2.  4ply  13/7(3) 9/3*  eq: +0.086 (0.098) 
 Player: Opponent:  47.48% (G:13.48% B:0.32%) 52.52% (G:10.71% B:0.32%)  

3.  2ply  9/3* 8/2 7/1(2)  eq: 0.084 (0.267) 
 Player: Opponent:  42.25% (G:15.82% B:0.24%) 57.75% (G:18.45% B:0.99%)  

4.  2ply  13/7 13/1 9/3*  eq: 0.135 (0.318) 
 Player: Opponent:  41.53% (G:15.28% B:0.49%) 58.47% (G:20.06% B:1.25%)  

5.  1ply  13/7 9/3* 8/2(2)  eq: 0.227 (0.410) 
 Player: Opponent:  39.93% (G:11.70% B:0.23%) 60.07% (G:17.29% B:0.88%)  



52: Bar/18* 

XGID=aBBAaDABbBbbebA:0:0:1:52:2:6:0:11:3 
Pip=104144 



1.  3ply  Bar/18*  eq: +0.075 
 Player: Opponent:  57.37% (G:18.04% B:0.95%) 42.63% (G:17.11% B:0.29%)  

2.  1ply  Bar/20 6/4  eq: 0.878 (0.953) 
 Player: Opponent:  40.41% (G:10.55% B:0.68%) 59.59% (G:34.47% B:0.79%)  

3.  1ply  Bar/20 13/11  eq: 1.000 (1.075) 
 Player: Opponent:  36.78% (G:9.26% B:0.66%) 63.22% (G:34.89% B:1.42%)  

4.  1ply  Bar/20 7/5  eq: 1.000 (1.075) 
 Player: Opponent:  34.62% (G:9.11% B:0.52%) 65.38% (G:35.40% B:0.95%)  

5.  1ply  Bar/20 9/7  eq: 1.000 (1.075) 
 Player: Opponent:  31.92% (G:8.16% B:0.53%) 68.08% (G:38.39% B:1.13%)  



51: Bar/24 22/17 

XGID=BBAaDaBbBbbebAA:0:0:1:51:2:6:0:11:3 
Pip=122137 



1.  3ply  Bar/24 22/17  eq: 0.156 
 Player: Opponent:  40.96% (G:15.08% B:0.51%) 59.04% (G:17.99% B:1.03%)  

2.  3ply  Bar/24 8/3  eq: 0.396 (0.240) 
 Player: Opponent:  34.94% (G:12.92% B:0.30%) 65.06% (G:20.52% B:1.32%)  

3.  2ply  Bar/24 6/1  eq: 0.480 (0.324) 
 Player: Opponent:  33.22% (G:10.56% B:0.17%) 66.78% (G:22.49% B:1.03%)  

4.  2ply  Bar/24 13/8  eq: 0.665 (0.509) 
 Player: Opponent:  28.26% (G:8.74% B:0.17%) 71.74% (G:23.89% B:1.57%)  



21: 21/18 

XGID=BBAaDaBbBbAbebA:0:0:1:21:2:6:0:11:3 
Pip=116137 



1.  4ply  21/18  eq: +0.124 
 Player: Opponent:  56.50% (G:13.07% B:0.47%) 43.50% (G:9.93% B:0.12%)  

2.  4ply  18/16 9/8*  eq: +0.009 (0.115) 
 Player: Opponent:  55.94% (G:18.21% B:1.29%) 44.06% (G:22.49% B:1.25%)  

3.  3ply  9/7 9/8*  eq: 0.010 (0.133) 
 Player: Opponent:  54.99% (G:18.98% B:1.34%) 45.01% (G:21.70% B:0.69%)  

4.  3ply  9/8* 8/6  eq: 0.088 (0.212) 
 Player: Opponent:  52.81% (G:17.83% B:1.21%) 47.19% (G:21.74% B:0.68%)  

5.  2ply  18/16 6/5  eq: 0.321 (0.444) 
 Player: Opponent:  49.16% (G:13.05% B:0.99%) 50.84% (G:25.54% B:0.36%)  



53: 17/9 

XGID=BBADbBbBbAbebA:0:0:1:53:2:6:0:11:3 
Pip=116134 



1.  XG Roller+  24/21 8/3  eq: 0.256 
 Player: Opponent:  40.28% (G:12.10% B:0.27%) 59.72% (G:19.72% B:1.00%)  

2.  XG Roller+  17/9  eq: 0.317 (0.062) 
 Player: Opponent:  38.08% (G:10.58% B:0.16%) 61.92% (G:14.37% B:0.74%)  

3.  4ply  8/5 8/3  eq: 0.294 (0.038) 
 Player: Opponent:  38.25% (G:12.59% B:0.12%) 61.75% (G:17.88% B:0.73%)  

4.  3ply  6/3 6/1  eq: 0.371 (0.115) 
 Player: Opponent:  37.09% (G:9.70% B:0.11%) 62.91% (G:18.12% B:0.78%)  

5.  3ply  17/14 8/3  eq: 0.394 (0.138) 
 Player: Opponent:  35.66% (G:9.65% B:0.12%) 64.34% (G:16.94% B:0.83%)  



32: 18/15 18/16* 

XGID=BBADbBAbBbbebA:0:0:1:32:2:6:0:11:3 
Pip=108134 



1.  4ply  18/15 18/16*  eq: +0.454 
 Player: Opponent:  65.94% (G:15.22% B:0.85%) 34.06% (G:8.77% B:0.14%)  

2.  4ply  18/16* 16/13  eq: +0.445 (0.008) 
 Player: Opponent:  65.68% (G:16.58% B:1.15%) 34.32% (G:8.82% B:0.10%)  

3.  2ply  13/11 13/10  eq: +0.115 (0.338) 
 Player: Opponent:  56.92% (G:10.73% B:0.35%) 43.08% (G:9.45% B:0.12%)  

4.  2ply  18/16* 13/10  eq: +0.074 (0.380) 
 Player: Opponent:  58.79% (G:17.55% B:1.59%) 41.21% (G:19.39% B:1.02%)  

5.  2ply  7/4 6/4  eq: +0.052 (0.402) 
 Player: Opponent:  56.45% (G:13.14% B:0.49%) 43.55% (G:13.99% B:0.11%)  



66: Cannot Move 

XGID=BBADBaabBbbebAA:0:0:1:66:2:6:0:11:3 
Pip=124129 



1.  4ply  Cannot Move  eq: 0.849 
 Player: Opponent:  26.16% (G:5.37% B:0.07%) 73.84% (G:21.23% B:0.81%)  



Double/Pass 

XGID=BBADBaabBbbebAA:0:0:1:00:2:6:0:11:3 
Pip=124129 



Analyzed in XG Roller+ 
No double 
Double/Take 
Player Winning Chances: 
74.09% (G:18.93% B:0.81%) 
73.81% (G:20.64% B:0.97%) 
Opponent Winning Chances: 
25.91% (G:4.57% B:0.07%) 
26.19% (G:4.97% B:0.09%) 
Cubeless Equities 
+0.627 
+1.214 
Cubeful Equities 
No double:  +0.791 (0.076)  
Double/Take:  +0.866  
Double/Pass:  +1.000 (+0.134) 

Best Cube action: Double / Take 


Wins 1pt. 



