Manolios vs. Chiotinis

9 point match, Score is Manolios: 8, Chiotinis: 9

Manolios	Category	Chiotinis
World Class (-0.0061)	Total Error	World Class (-0.0090)
World Class (-0.0052)	Checker Play	Expert (-0.0106)
Expert (-0.0120)	Cube Play	World Champ. (-0.0004)
3.07	Performance Rating	4.50

Manolios		Chiotinis
World Champ. (+0.0000)	Game 1	World Champ. (+0.0000)
World Champ. (+0.0000)	Game 2	World Champ. (-0.0020)
World Class (-0.0073)	Game 3	Expert (-0.0118)
Expert (-0.0127)	Game 4	Expert (-0.0104)
World Champ. (-0.0037)	Game 5	World Champ. (-0.0041)
World Champ. (-0.0040)	Game 6	Intermediate (-0.0288)
World Champ. (-0.0015)	Game 7	World Class (-0.0066)
World Class (-0.0085)	Game 8	Expert (-0.0112)
World Champ. (-0.0042)	Game 9	World Champ. (-0.0033)
Advanced (-0.0153)	Game 10	World Class (-0.0051)

Manolios	Category	Chiotinis
13(1)	Move Errors	25(6)
-0.653(-11.09%)	Equity lost (cost)	-1.572(-19.81%)
3(1)	Double Errors	0
-0.221(-2.65%)	Equity lost (cost)	-0.012(-0.19%)
1	Take Errors	0
-0.030(-0.46%)	Equity lost (cost)	+0.000
17(2)	Total Error	25(6)
-0.904(-14.21%)	Equity lost (cost)	-1.584(-20.00%)
16	Jokers	17
-2.110(-55.67%)	Luck	+2.110(+55.67%)
World Class	Level of Play	World Class
3.07	Performance Rating	4.50

Location: Λάρισα Played on: 08-Jun-19 At: 4:07:45 PM Event: 8ο Κύπελλο Ελλάδος 2018-19 Round: Γύρος 2 Manolios: Elo= 1600, Exp=0 Chiotinis: Elo= 1600, Exp=0

 Game 1

9 point match, Score is Manolios: 0, Chiotinis: 0

54: 24/20 13/8

Pip=167-167

1. Book1 24/20 13/8 eq: +0.028 Player: Opponent: 50.56% (G:14.18% B:0.78%) 49.44% (G:13.70% B:0.55%) Conf.: ± 0.004 (+0.025...+0.032) - [100.0%] 2. Book1 13/9 13/8 eq: +0.014 (-0.014) Player: Opponent: 49.92% (G:15.49% B:0.87%) 50.08% (G:14.03% B:0.73%) Conf.: ± 0.004 (+0.011...+0.018) - [0.0%] 3. Book2 24/15 eq: -0.003 (-0.031) Player: Opponent: 50.34% (G:12.17% B:0.58%) 49.66% (G:13.57% B:0.53%) Conf.: ± 0.002 (-0.005...-0.001) - [0.0%] 4. Book3 13/4 eq: -0.062 (-0.090) Player: Opponent: 48.42% (G:14.34% B:0.73%) 51.58% (G:14.75% B:0.81%) Conf.: ± 0.004 (-0.066...-0.058) - [0.0%] 5. Book4 13/8 6/2 eq: -0.134 (-0.162) Player: Opponent: 46.60% (G:13.25% B:0.68%) 53.40% (G:15.34% B:0.74%)   1 Generated by Steven Carey on 02-Aug-12 using eXtreme Gammon 2.00 23312 Games rolled with Variance Reduction. Dice Seed: 13 Moves: 3-ply, cube decisions: XG Roller 2 Generated by Steven Carey on 31-Jul-12 using eXtreme Gammon 2.00 46656 Games rolled with Variance Reduction. Dice Seed: 5707414 Moves: 3-ply, cube decisions: XG Roller 3 Generated by Steven Carey on 31-Jul-12 using eXtreme Gammon 2.00 23328 Games rolled with Variance Reduction. Dice Seed: 5707414 Moves: 3-ply, cube decisions: XG Roller 4 Generated by GameSite 2000, Ltd on 21-May-11 using eXtreme Gammon 2.00 Analyzed in XG Roller++

54: 24/20 13/8

Pip=158-167

1. XG Roller++ 24/20 13/8 eq: -0.178 Player: Opponent: 45.96% (G:9.76% B:0.32%) 54.04% (G:13.40% B:0.48%) 2. XG Roller++ 13/9 13/8 eq: -0.226 (-0.048) Player: Opponent: 44.34% (G:11.92% B:0.40%) 55.66% (G:15.11% B:0.89%) 3. XG Roller++ 24/20 6/1* eq: -0.227 (-0.048) Player: Opponent: 44.68% (G:9.43% B:0.24%) 55.32% (G:13.58% B:0.59%) 4. XG Roller++ 24/15 eq: -0.237 (-0.059) Player: Opponent: 44.94% (G:8.87% B:0.30%) 55.06% (G:14.78% B:0.51%) 5. XG Roller++ 13/4 eq: -0.253 (-0.074) Player: Opponent: 43.97% (G:9.94% B:0.31%) 56.03% (G:14.56% B:0.75%)

66: 20/8 13/7(2)

Pip=158-158

1. XG Roller++ 20/8 13/7(2) eq: +0.425 Player: Opponent: 60.46% (G:14.62% B:0.50%) 39.54% (G:7.95% B:0.24%) 2. XG Roller++ 20/2 8/2 eq: +0.327 (-0.098) Player: Opponent: 57.98% (G:15.09% B:0.56%) 42.02% (G:8.75% B:0.28%) 3. XG Roller++ 13/1*(2) eq: +0.306 (-0.119) Player: Opponent: 56.01% (G:18.73% B:0.35%) 43.99% (G:9.43% B:0.36%) 4. XG Roller++ 13/7(2) 8/2(2) eq: +0.263 (-0.162) Player: Opponent: 55.40% (G:18.45% B:0.73%) 44.60% (G:10.37% B:0.42%) 5. 4-ply 24/18 20/14 13/7(2) eq: +0.183 (-0.242) Player: Opponent: 55.42% (G:11.67% B:0.47%) 44.58% (G:10.53% B:0.35%)

43: 24/20 13/10

Pip=134-158

1. XG Roller++ 24/20 13/10 eq: -0.373 Player: Opponent: 39.24% (G:6.94% B:0.17%) 60.76% (G:8.38% B:0.22%) 2. XG Roller++ 24/20 6/3 eq: -0.457 (-0.085) Player: Opponent: 37.27% (G:6.31% B:0.16%) 62.73% (G:9.53% B:0.23%) 3. XG Roller++ 24/20 8/5 eq: -0.478 (-0.105) Player: Opponent: 36.66% (G:6.53% B:0.16%) 63.34% (G:9.78% B:0.22%) 4. 4-ply 20/16 13/10 eq: -0.584 (-0.211) Player: Opponent: 36.70% (G:6.86% B:0.20%) 63.30% (G:19.90% B:0.68%) 5. 4-ply 20/16 8/5 eq: -0.596 (-0.223) Player: Opponent: 36.13% (G:7.14% B:0.19%) 63.87% (G:20.13% B:0.76%)

No double

Pip=134-151

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 60.83% (G:8.46% B:0.24%) 60.92% (G:8.40% B:0.23%)   Opponent Winning Chances: 39.17% (G:7.14% B:0.16%) 39.08% (G:7.06% B:0.16%)   Cubeless Equities +0.231 +0.466 Cubeful Equities  No double: +0.373      Double/Take: +0.177 (-0.196)      Double/Pass: +1.000 (+0.627)   Best Cube action: No double / Take Percentage of wrong pass needed to make the double decision right: 19.2%

63: 24/15*

Pip=134-151

1. 3-ply 24/15* eq: +0.703 Player: Opponent: 68.87% (G:11.73% B:0.20%) 31.13% (G:5.44% B:0.10%) 2. 3-ply 24/18 6/3 eq: +0.165 (-0.538) Player: Opponent: 56.04% (G:7.21% B:0.20%) 43.96% (G:8.21% B:0.22%) 3. 3-ply 8/2 6/3 eq: +0.135 (-0.568) Player: Opponent: 54.54% (G:9.06% B:0.22%) 45.46% (G:8.89% B:0.28%) 4. 3-ply 24/21 8/2 eq: +0.121 (-0.582) Player: Opponent: 54.27% (G:9.11% B:0.21%) 45.73% (G:9.46% B:0.25%) 5. 2-ply 7/4 7/1 eq: +0.019 (-0.685) Player: Opponent: 50.99% (G:9.67% B:0.16%) 49.01% (G:10.47% B:0.31%)

65: Bar/14

Pip=125-166

1. XG Roller++ Bar/20 13/7 eq: -1.000 Player: Opponent: 20.59% (G:1.63% B:0.05%) 79.41% (G:4.39% B:0.06%) 2. XG Roller++ Bar/20 8/2 eq: -1.000 Player: Opponent: 20.19% (G:1.65% B:0.04%) 79.81% (G:4.57% B:0.07%) 3. XG Roller++ Bar/14 eq: -1.000 Player: Opponent: 21.13% (G:1.83% B:0.05%) 78.87% (G:6.59% B:0.11%)

Double/Pass

Pip=125-155

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 78.83% (G:6.67% B:0.12%) 79.58% (G:6.40% B:0.14%)   Opponent Winning Chances: 21.17% (G:1.87% B:0.06%) 20.42% (G:1.88% B:0.06%)   Cubeless Equities +0.625 +1.279 Cubeful Equities      No double: +0.936 (-0.064)      Double/Take: +1.132 (+0.132)  Double/Pass: +1.000   Best Cube action: Double / Pass

Wins 1pt.

Game Summary:

Manolios	Category	Chiotinis
World Champ. (+0.0000)	Total Error	World Champ. (+0.0000)
World Champ. (+0.0000)	Checker Play	World Champ. (+0.0000)
World Champ. (+0.0000)	Cube Play	World Champ. (+0.0000)
0.00	Performance Rating	0.00
0	Move Errors	0
+0.000	Equity lost (cost)	+0.000
0	Double Errors	0
+0.000	Equity lost (cost)	+0.000
0	Take Errors	0
+0.000	Equity lost (cost)	+0.000
0	Total Error	0
+0.000	Equity lost (cost)	+0.000
2	Jokers	0
+0.967(+5.26%)	Luck	-0.967(-5.26%)

 Game 2

9 point match, Score is Manolios: 1, Chiotinis: 0

21: 24/23 13/11

Pip=167-167

1. Book1 13/11 6/5 eq: +0.010 Player: Opponent: 50.49% (G:14.54% B:0.63%) 49.51% (G:14.71% B:1.00%) Conf.: ± 0.003 (+0.007...+0.013) - [100.0%] 2. Book1 24/23 13/11 eq: +0.002 (-0.008) Player: Opponent: 50.01% (G:14.09% B:0.59%) 49.99% (G:13.64% B:0.68%) Conf.: ± 0.003 (-0.001...+0.004) - [0.0%] 3. Book2 24/21 eq: -0.039 (-0.049) Player: Opponent: 49.02% (G:12.14% B:0.52%) 50.98% (G:12.83% B:0.47%) 4. Book2 13/10 eq: -0.045 (-0.055) Player: Opponent: 48.70% (G:13.32% B:0.55%) 51.30% (G:13.70% B:0.67%) 5. Book2 24/23 24/22 eq: -0.059 (-0.069) Player: Opponent: 48.48% (G:12.11% B:0.49%) 51.52% (G:13.09% B:0.51%)   1 Generated by Steven Carey on 15-Sep-12 using eXtreme Gammon 2.00 46656 Games rolled with Variance Reduction. Dice Seed: 9596647 Moves: 3-ply, cube decisions: XG Roller 2 Generated by GameSite 2000, Ltd on 21-May-11 using eXtreme Gammon 2.00 Analyzed in XG Roller++

21: 24/23 13/11

Pip=167-164

1. XG Roller++ 24/23 13/11 eq: -0.159 Player: Opponent: 46.42% (G:11.59% B:0.44%) 53.58% (G:14.97% B:0.64%) 2. XG Roller++ 24/21 eq: -0.161 (-0.001) Player: Opponent: 46.45% (G:10.76% B:0.42%) 53.55% (G:14.44% B:0.53%) 3. XG Roller++ 24/23 24/22 eq: -0.191 (-0.031) Player: Opponent: 45.83% (G:10.74% B:0.42%) 54.17% (G:15.21% B:0.55%) 4. XG Roller++ 13/10 eq: -0.206 (-0.046) Player: Opponent: 45.22% (G:11.42% B:0.44%) 54.78% (G:15.35% B:0.79%) 5. XG Roller++ 13/11 6/5 eq: -0.218 (-0.059) Player: Opponent: 45.77% (G:11.56% B:0.46%) 54.23% (G:17.06% B:1.22%)

53: 8/3 6/3

Pip=164-164

1. XG Roller++ 8/3 6/3 eq: +0.042 Player: Opponent: 50.63% (G:14.68% B:0.59%) 49.37% (G:13.13% B:0.56%) 2. XG Roller++ 24/21 13/8 eq: -0.069 (-0.111) Player: Opponent: 48.29% (G:12.05% B:0.47%) 51.71% (G:13.45% B:0.56%) 3. XG Roller++ 13/8 11/8 eq: -0.080 (-0.122) Player: Opponent: 48.05% (G:12.30% B:0.43%) 51.95% (G:13.62% B:0.53%) 4. XG Roller++ 23/15 eq: -0.082 (-0.124) Player: Opponent: 48.50% (G:11.85% B:0.51%) 51.50% (G:14.71% B:0.60%) 5. XG Roller++ 24/16 eq: -0.089 (-0.131) Player: Opponent: 48.41% (G:11.73% B:0.50%) 51.59% (G:14.82% B:0.63%)

41: 11/7 8/7

Pip=164-156

1. XG Roller++ 11/7 8/7 eq: -0.146 Player: Opponent: 47.16% (G:11.94% B:0.49%) 52.84% (G:16.16% B:0.64%) 2. XG Roller++ 6/2* 2/1* eq: -0.239 (-0.093) Player: Opponent: 45.19% (G:12.29% B:0.43%) 54.81% (G:18.08% B:1.03%) 3. 4-ply 13/8 eq: -0.322 (-0.176) Player: Opponent: 43.04% (G:10.50% B:0.42%) 56.96% (G:18.58% B:0.88%) 4. 4-ply 24/23 13/9 eq: -0.340 (-0.194) Player: Opponent: 41.89% (G:10.68% B:0.44%) 58.11% (G:17.14% B:0.89%) 5. 4-ply 11/6 eq: -0.360 (-0.214) Player: Opponent: 42.13% (G:10.11% B:0.41%) 57.87% (G:18.77% B:0.76%)

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

Pip=159-156

1. 4-ply 8/4(2) 6/2*(2) eq: +0.687 Player: Opponent: 63.01% (G:28.02% B:1.28%) 36.99% (G:8.27% B:0.36%) 2. 4-ply 24/20 13/9 6/2*(2) eq: +0.479 (-0.208) Player: Opponent: 58.44% (G:23.05% B:1.17%) 41.56% (G:9.37% B:0.45%) 3. 4-ply 13/9(2) 6/2*(2) eq: +0.408 (-0.280) Player: Opponent: 57.28% (G:22.63% B:1.15%) 42.72% (G:10.50% B:0.52%) 4. 4-ply 13/5(2) eq: +0.398 (-0.289) Player: Opponent: 57.99% (G:20.93% B:0.80%) 42.01% (G:10.53% B:0.46%) 5. 4-ply 24/16 6/2*(2) eq: +0.395 (-0.292) Player: Opponent: 58.38% (G:19.21% B:0.83%) 41.62% (G:10.09% B:0.41%)

32: Cannot Move

Pip=161-140

1. 3-ply Cannot Move eq: -1.000 Player: Opponent: 31.21% (G:6.44% B:0.28%) 68.79% (G:35.87% B:1.23%)

Double/Pass

Pip=161-140

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 69.21% (G:35.07% B:1.25%) 69.44% (G:35.10% B:1.22%)   Opponent Winning Chances: 30.79% (G:6.12% B:0.26%) 30.56% (G:6.06% B:0.29%)   Cubeless Equities +0.683 +1.440 Cubeful Equities      No double: +0.916 (-0.084)      Double/Take: +1.226 (+0.226)  Double/Pass: +1.000   Best Cube action: Double / Pass

Wins 1pt.

Game Summary:

Manolios	Category	Chiotinis
World Champ. (+0.0000)	Total Error	World Champ. (-0.0020)
World Champ. (+0.0000)	Checker Play	World Champ. (-0.0027)
World Champ. (+0.0000)	Cube Play	World Champ. (+0.0000)
0.00	Performance Rating	1.01
0	Move Errors	0
+0.000	Equity lost (cost)	-0.008(-0.04%)
0	Double Errors	0
+0.000	Equity lost (cost)	+0.000
0	Take Errors	0
+0.000	Equity lost (cost)	+0.000
0	Total Error	0
+0.000	Equity lost (cost)	-0.008(-0.04%)
0	Jokers	2
-1.001(-5.43%)	Luck	+1.001(+5.43%)

 Game 3

9 point match, Score is Manolios: 1, Chiotinis: 1

61: 13/7 8/7

Pip=167-167

1. Book1 13/7 8/7 eq: +0.159 Player: Opponent: 53.48% (G:14.95% B:0.65%) 46.52% (G:11.82% B:0.51%) 2. 4-ply 24/23 13/7 eq: -0.063 (-0.222) Player: Opponent: 48.33% (G:13.13% B:0.53%) 51.67% (G:13.81% B:0.62%) 3. Book1 24/23 24/18 eq: -0.063 (-0.222) Player: Opponent: 48.95% (G:11.65% B:0.47%) 51.05% (G:14.06% B:0.46%) 4. 4-ply 13/7 6/5 eq: -0.094 (-0.253) Player: Opponent: 47.97% (G:12.68% B:0.53%) 52.03% (G:14.89% B:1.00%) 5. Book1 13/6 eq: -0.098 (-0.257) Player: Opponent: 47.60% (G:13.22% B:0.62%) 52.40% (G:14.76% B:0.66%)   1 Generated by GameSite 2000, Ltd on 21-May-11 using eXtreme Gammon 2.00 Analyzed in XG Roller++

41: 24/23 13/9

Pip=160-167

1. XG Roller++ 24/23 13/9 eq: -0.267 Player: Opponent: 44.14% (G:11.43% B:0.43%) 55.86% (G:16.85% B:0.73%) 2. XG Roller++ 24/23 24/20 eq: -0.286 (-0.020) Player: Opponent: 43.74% (G:9.59% B:0.36%) 56.26% (G:15.33% B:0.55%) 3. XG Roller++ 13/9 6/5 eq: -0.295 (-0.028) Player: Opponent: 43.71% (G:11.29% B:0.47%) 56.29% (G:17.28% B:1.24%) 4. XG Roller++ 24/20 6/5 eq: -0.329 (-0.062) Player: Opponent: 43.82% (G:10.28% B:0.46%) 56.18% (G:18.63% B:0.96%) 5. XG Roller++ 13/8 eq: -0.336 (-0.070) Player: Opponent: 42.49% (G:10.71% B:0.44%) 57.51% (G:16.91% B:0.79%)

54: 24/15

Pip=160-162

1. XG Roller++ 24/20 13/8 eq: +0.178 Player: Opponent: 54.19% (G:15.04% B:0.69%) 45.81% (G:12.50% B:0.44%) 2. XG Roller++ 24/15 eq: +0.170 (-0.008) Player: Opponent: 54.63% (G:13.66% B:0.60%) 45.37% (G:12.75% B:0.42%) 3. XG Roller++ 7/2* 6/2 eq: +0.101 (-0.076) Player: Opponent: 51.34% (G:17.37% B:0.88%) 48.66% (G:13.13% B:0.69%) 4. XG Roller++ 24/20 6/1* eq: +0.098 (-0.080) Player: Opponent: 52.26% (G:14.27% B:0.51%) 47.74% (G:12.35% B:0.54%) 5. XG Roller++ 13/9 13/8 eq: +0.078 (-0.100) Player: Opponent: 51.52% (G:15.63% B:0.65%) 48.48% (G:13.57% B:0.71%)

32: 23/21 13/10*

Pip=151-162

1. XG Roller++ 23/21 13/10* eq: -0.122 Player: Opponent: 47.11% (G:12.82% B:0.54%) 52.89% (G:14.69% B:0.81%) 2. XG Roller++ 24/22 13/10* eq: -0.132 (-0.010) Player: Opponent: 46.89% (G:12.83% B:0.53%) 53.11% (G:14.89% B:0.75%) 3. XG Roller++ 13/10* 10/8 eq: -0.163 (-0.041) Player: Opponent: 45.86% (G:12.48% B:0.45%) 54.14% (G:14.41% B:0.61%) 4. XG Roller++ 24/21 23/21 eq: -0.196 (-0.074) Player: Opponent: 43.69% (G:8.23% B:0.22%) 56.31% (G:7.56% B:0.23%) 5. XG Roller++ 13/11 13/10* eq: -0.197 (-0.075) Player: Opponent: 45.43% (G:13.03% B:0.54%) 54.57% (G:16.50% B:1.05%)

32: Bar/22 24/22

Pip=161-157

1. XG Roller++ Bar/22 6/4* eq: +0.056 Player: Opponent: 51.55% (G:14.64% B:0.85%) 48.45% (G:14.60% B:0.75%) 2. XG Roller++ Bar/22 24/22 eq: -0.017 (-0.073) Player: Opponent: 49.03% (G:12.06% B:0.43%) 50.97% (G:11.15% B:0.39%) 3. 4-ply Bar/22 13/11 eq: -0.105 (-0.161) Player: Opponent: 47.92% (G:12.39% B:0.60%) 52.08% (G:15.70% B:0.76%) 4. 4-ply Bar/20 eq: -0.127 (-0.184) Player: Opponent: 47.54% (G:11.31% B:0.47%) 52.46% (G:15.00% B:0.64%) 5. 4-ply Bar/23 24/21 eq: -0.150 (-0.206) Player: Opponent: 47.20% (G:10.91% B:0.48%) 52.80% (G:15.77% B:0.60%)

41: 9/5 6/5

Pip=156-157

1. XG Roller++ 9/5 6/5 eq: +0.046 Player: Opponent: 51.12% (G:12.31% B:0.42%) 48.88% (G:11.75% B:0.45%) 2. XG Roller++ 24/20 10/9 eq: +0.020 (-0.026) Player: Opponent: 51.83% (G:10.48% B:0.38%) 48.17% (G:13.56% B:0.43%) 3. XG Roller++ 13/9 10/9 eq: +0.006 (-0.040) Player: Opponent: 51.04% (G:11.61% B:0.43%) 48.96% (G:13.79% B:0.46%) 4. XG Roller++ 13/9 6/5 eq: -0.042 (-0.088) Player: Opponent: 50.32% (G:12.23% B:0.51%) 49.68% (G:16.53% B:1.00%) 5. XG Roller++ 24/20 21/20 eq: -0.055 (-0.102) Player: Opponent: 47.86% (G:9.77% B:0.27%) 52.14% (G:8.85% B:0.28%)

54: 22/13

Pip=156-152

1. XG Roller++ 22/13 eq: -0.208 Player: Opponent: 46.85% (G:8.63% B:0.37%) 53.15% (G:16.45% B:0.39%) 2. XG Roller++ 13/4* eq: -0.239 (-0.031) Player: Opponent: 43.96% (G:11.85% B:0.49%) 56.04% (G:14.04% B:0.56%) 3. XG Roller++ 13/8 6/2 eq: -0.331 (-0.123) Player: Opponent: 41.54% (G:9.59% B:0.31%) 58.46% (G:13.45% B:0.50%) 4. 4-ply 13/9 13/8 eq: -0.361 (-0.153) Player: Opponent: 40.77% (G:8.88% B:0.33%) 59.23% (G:13.72% B:0.49%) 5. 4-ply 22/18 13/8 eq: -0.421 (-0.214) Player: Opponent: 41.66% (G:10.00% B:0.53%) 58.34% (G:21.94% B:0.74%)

63: 13/7 10/7

Pip=147-152

1. XG Roller++ 13/7 10/7 eq: +0.169 Player: Opponent: 52.68% (G:15.41% B:0.44%) 47.32% (G:8.80% B:0.35%) 2. XG Roller++ 21/15 6/3* eq: +0.101 (-0.068) Player: Opponent: 51.83% (G:15.14% B:0.37%) 48.17% (G:11.78% B:0.61%) 3. XG Roller++ 24/21 8/2 eq: +0.071 (-0.098) Player: Opponent: 49.52% (G:11.97% B:0.19%) 50.48% (G:5.70% B:0.19%) 4. XG Roller++ 21/15 13/10 eq: +0.036 (-0.133) Player: Opponent: 50.11% (G:12.72% B:0.32%) 49.89% (G:9.58% B:0.40%) 5. XG Roller++ 24/21 10/4 eq: +0.027 (-0.142) Player: Opponent: 48.81% (G:10.92% B:0.21%) 51.19% (G:5.95% B:0.18%)

61: 22/15

Pip=147-143

1. 4-ply 22/15 eq: -0.142 Player: Opponent: 48.63% (G:5.91% B:0.20%) 51.37% (G:13.26% B:0.31%) 2. 4-ply 22/21 13/7 eq: -0.390 (-0.248) Player: Opponent: 42.21% (G:7.94% B:0.33%) 57.79% (G:18.85% B:0.40%) 3. 4-ply 22/16 6/5 eq: -0.425 (-0.283) Player: Opponent: 42.17% (G:5.97% B:0.20%) 57.83% (G:19.69% B:0.56%) 4. 3-ply 13/6 eq: -0.478 (-0.335) Player: Opponent: 40.15% (G:7.14% B:0.25%) 59.85% (G:19.48% B:0.39%) 5. 3-ply 22/16 8/7 eq: -0.514 (-0.371) Player: Opponent: 39.47% (G:5.79% B:0.19%) 60.53% (G:20.97% B:0.58%)

32: 13/11 13/10*

Pip=140-143

1. XG Roller++ 13/11 13/10* eq: +0.519 Player: Opponent: 59.43% (G:21.41% B:0.56%) 40.57% (G:7.42% B:0.35%) 2. XG Roller++ 24/22 13/10* eq: +0.386 (-0.133) Player: Opponent: 57.23% (G:18.67% B:0.52%) 42.77% (G:8.63% B:0.43%) 3. 4-ply 13/10* 10/8 eq: +0.279 (-0.240) Player: Opponent: 54.67% (G:17.28% B:0.42%) 45.33% (G:7.73% B:0.31%) 4. 4-ply 13/10* 8/6 eq: +0.262 (-0.257) Player: Opponent: 54.10% (G:18.54% B:0.49%) 45.90% (G:8.85% B:0.43%) 5. 4-ply 13/10* 6/4 eq: +0.258 (-0.261) Player: Opponent: 54.83% (G:19.15% B:0.57%) 45.17% (G:11.64% B:0.80%)

64: Bar/15*

Pip=150-138

1. 3-ply Bar/15* eq: +0.259 Player: Opponent: 58.81% (G:8.14% B:0.26%) 41.19% (G:9.13% B:0.22%) 2. 2-ply Bar/21 13/7 eq: -0.542 (-0.801) Player: Opponent: 38.68% (G:7.20% B:0.34%) 61.32% (G:22.83% B:0.48%) 3. 2-ply Bar/21 7/1* eq: -1.000 (-1.259) Player: Opponent: 30.38% (G:6.25% B:0.24%) 69.62% (G:31.51% B:1.48%) 4. 2-ply Bar/21 8/2 eq: -1.002 (-1.262) Player: Opponent: 27.92% (G:5.02% B:0.19%) 72.08% (G:37.65% B:1.70%)

52: Bar/20 11/9

Pip=140-153

1. XG Roller++ Bar/20 6/4 eq: -0.454 Player: Opponent: 37.34% (G:7.74% B:0.20%) 62.66% (G:11.40% B:0.67%) 2. XG Roller++ Bar/20 11/9 eq: -0.481 (-0.027) Player: Opponent: 36.15% (G:6.29% B:0.16%) 63.85% (G:8.74% B:0.37%) 3. XG Roller++ Bar/20 24/22 eq: -0.513 (-0.059) Player: Opponent: 35.65% (G:5.67% B:0.15%) 64.35% (G:8.89% B:0.39%) 4. XG Roller++ Bar/20 8/6 eq: -0.517 (-0.063) Player: Opponent: 35.54% (G:6.59% B:0.16%) 64.46% (G:10.52% B:0.55%) 5. XG Roller++ Bar/20 7/5 eq: -0.554 (-0.100) Player: Opponent: 34.79% (G:6.71% B:0.15%) 65.21% (G:11.37% B:0.69%)

No double

Pip=140-146

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 63.78% (G:8.77% B:0.39%) 63.93% (G:8.82% B:0.40%)   Opponent Winning Chances: 36.22% (G:6.49% B:0.17%) 36.07% (G:6.33% B:0.16%)   Cubeless Equities +0.304 +0.656 Cubeful Equities  No double: +0.489      Double/Take: +0.387 (-0.102)      Double/Pass: +1.000 (+0.511)   Best Cube action: No double / Take Percentage of wrong pass needed to make the double decision right: 14.3%

64: 15/9 13/9

Pip=140-146

1. 3-ply 15/9 13/9 eq: +0.585 Player: Opponent: 67.08% (G:7.55% B:0.24%) 32.92% (G:4.25% B:0.06%) 2. 3-ply 15/11 13/7 eq: +0.087 (-0.498) Player: Opponent: 54.44% (G:7.78% B:0.27%) 45.56% (G:10.91% B:0.27%) 3. 3-ply 13/7 6/2 eq: -0.001 (-0.586) Player: Opponent: 52.24% (G:8.81% B:0.36%) 47.76% (G:13.77% B:0.42%) 4. 2-ply 15/5* eq: -0.051 (-0.636) Player: Opponent: 50.50% (G:9.27% B:0.33%) 49.50% (G:15.48% B:0.40%) 5. 2-ply 13/3 eq: -0.054 (-0.639) Player: Opponent: 51.10% (G:7.45% B:0.25%) 48.90% (G:14.17% B:0.47%)

63: 24/21 9/3

Pip=130-146

1. XG Roller++ 9/3 6/3 eq: -0.640 Player: Opponent: 31.83% (G:5.10% B:0.11%) 68.17% (G:9.38% B:0.37%) 2. XG Roller++ 24/21 9/3 eq: -0.708 (-0.068) Player: Opponent: 29.88% (G:2.19% B:0.06%) 70.12% (G:4.15% B:0.11%) 3. XG Roller++ 24/21 8/2 eq: -0.722 (-0.081) Player: Opponent: 29.61% (G:2.18% B:0.05%) 70.39% (G:4.44% B:0.14%) 4. XG Roller++ 24/21 20/14 eq: -0.757 (-0.117) Player: Opponent: 28.75% (G:1.75% B:0.05%) 71.25% (G:3.59% B:0.07%) 5. XG Roller++ 24/21 7/1 eq: -0.774 (-0.134) Player: Opponent: 28.59% (G:2.84% B:0.05%) 71.41% (G:5.67% B:0.23%)

No double

Pip=130-137

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 70.00% (G:4.49% B:0.14%) 70.07% (G:4.38% B:0.13%)   Opponent Winning Chances: 30.00% (G:2.31% B:0.05%) 29.93% (G:2.22% B:0.06%)   Cubeless Equities +0.426 +0.905 Cubeful Equities  No double: +0.710      Double/Take: +0.683 (-0.027)      Double/Pass: +1.000 (+0.290)   Best Cube action: No double / Take Percentage of wrong pass needed to make the double decision right: 7.9%

55: 13/8(4)

Pip=130-137

1. XG Roller++ 13/8(4) eq: +0.954 Player: Opponent: 76.14% (G:2.68% B:0.03%) 23.86% (G:0.93% B:0.02%) 2. XG Roller++ 13/8(2) 6/1(2) eq: +0.887 (-0.067) Player: Opponent: 73.94% (G:4.23% B:0.09%) 26.06% (G:1.94% B:0.04%) 3. XG Roller++ 13/3(2) eq: +0.884 (-0.071) Player: Opponent: 73.78% (G:4.55% B:0.11%) 26.22% (G:2.05% B:0.05%) 4. XG Roller++ 13/8 13/3 6/1 eq: +0.814 (-0.140) Player: Opponent: 72.59% (G:4.01% B:0.08%) 27.41% (G:2.10% B:0.04%) 5. 4-ply 13/8(2) 13/3 eq: +0.768 (-0.186) Player: Opponent: 71.24% (G:4.34% B:0.10%) 28.76% (G:2.88% B:0.08%)

31: 8/4

Pip=110-137

1. XG Roller++ 8/7 6/3 eq: -1.000 Player: Opponent: 22.80% (G:1.32% B:0.03%) 77.20% (G:4.52% B:0.05%) 2. XG Roller++ 8/4 eq: -1.000 Player: Opponent: 22.71% (G:1.27% B:0.03%) 77.29% (G:4.29% B:0.05%) 3. XG Roller++ 6/5 6/3 eq: -1.000 Player: Opponent: 22.73% (G:1.29% B:0.03%) 77.27% (G:4.54% B:0.05%) 4. XG Roller++ 6/3 5/4 eq: -1.000 Player: Opponent: 22.71% (G:1.32% B:0.03%) 77.29% (G:4.73% B:0.06%) 5. XG Roller++ 7/3 eq: -1.000 Player: Opponent: 22.53% (G:1.27% B:0.03%) 77.47% (G:4.44% B:0.05%)

Double/Pass

Pip=110-133

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 77.38% (G:4.15% B:0.05%) 77.64% (G:4.64% B:0.04%)   Opponent Winning Chances: 22.62% (G:1.22% B:0.03%) 22.36% (G:1.15% B:0.01%)   Cubeless Equities +0.581 +1.257 Cubeful Equities      No double: +0.971 (-0.029)      Double/Take: +1.094 (+0.094)  Double/Pass: +1.000   Best Cube action: Double / Pass

Wins 1pt.

Game Summary:

Manolios	Category	Chiotinis
World Class (-0.0073)	Total Error	Expert (-0.0118)
Expert (-0.0100)	Checker Play	Expert (-0.0135)
World Champ. (+0.0000)	Cube Play	World Champ. (+0.0000)
3.65	Performance Rating	5.90
1	Move Errors	2
-0.080(-0.44%)	Equity lost (cost)	-0.094(-0.52%)
0	Double Errors	0
+0.000	Equity lost (cost)	+0.000
0	Take Errors	0
+0.000	Equity lost (cost)	+0.000
1	Total Error	2
-0.080(-0.44%)	Equity lost (cost)	-0.094(-0.52%)
1	Jokers	1
+1.043(+5.72%)	Luck	-1.043(-5.72%)

 Game 4

9 point match, Score is Manolios: 2, Chiotinis: 1

51: 24/23 13/8

Pip=167-167

1. Book1 24/23 13/8 eq: -0.047 Player: Opponent: 50.03% (G:14.26% B:0.74%) 49.97% (G:13.74% B:0.58%) Conf.: ± 0.004 (-0.051...-0.043) - [100.0%] 2. Book1 13/8 6/5 eq: -0.066 (-0.019) Player: Opponent: 49.67% (G:14.20% B:0.78%) 50.33% (G:14.15% B:0.77%) Conf.: ± 0.004 (-0.070...-0.061) - [0.0%] 3. Book2 24/18 eq: -0.098 (-0.051) Player: Opponent: 49.35% (G:11.64% B:0.49%) 50.65% (G:13.46% B:0.48%) 4. Book2 13/7 eq: -0.150 (-0.104) Player: Opponent: 47.80% (G:13.06% B:0.60%) 52.20% (G:14.45% B:0.74%) 5. 4-ply 24/23 8/3 eq: -0.239 (-0.192) Player: Opponent: 45.71% (G:12.10% B:0.49%) 54.29% (G:15.96% B:0.76%)   1 Generated by Steven Carey on 06-Aug-12 using eXtreme Gammon 2.00 20736 Games rolled with Variance Reduction. Dice Seed: 5 Moves: 3-ply, cube decisions: XG Roller 2 Generated by GameSite 2000, Ltd on 21-May-11 using eXtreme Gammon 2.00 Analyzed in XG Roller++

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

Pip=161-167

1. Book1 8/4(2) 6/2*(2) eq: +0.479 Player: Opponent: 57.58% (G:22.50% B:1.00%) 42.42% (G:10.95% B:0.68%) Conf.: ± 0.003 (+0.476...+0.482) - [100.0%] 2. Book1 24/20(2) 13/9(2) eq: +0.472 (-0.007) Player: Opponent: 59.54% (G:14.79% B:0.48%) 40.46% (G:6.82% B:0.30%) Conf.: ± 0.002 (+0.470...+0.474) - [0.0%] 3. Book2 13/9(2) 6/2*(2) eq: +0.395 (-0.084) Player: Opponent: 56.99% (G:18.43% B:0.92%) 43.01% (G:10.48% B:0.45%) 4. Book2 24/20(2) 6/2*(2) eq: +0.392 (-0.087) Player: Opponent: 57.40% (G:14.81% B:0.50%) 42.60% (G:7.27% B:0.24%) 5. Book2 13/5(2) eq: +0.364 (-0.115) Player: Opponent: 56.36% (G:18.17% B:0.64%) 43.64% (G:10.79% B:0.49%)   1 Generated by Dmitriy Obukhov on 16-Aug-13 using eXtreme Gammon 2.10 46656 Games rolled with Variance Reduction. Dice Seed: 112479 Moves: 3-ply, cube decisions: XG Roller 2 Generated by Dmitriy Obukhov on 16-Aug-13 using eXtreme Gammon 2.00 Analyzed in XG Roller++

33: Bar/22 13/10 8/5(2)

Pip=163-151

1. XG Roller++ Bar/22 13/10 8/5(2) eq: -0.059 Player: Opponent: 50.89% (G:16.60% B:1.03%) 49.11% (G:18.52% B:0.86%) 2. XG Roller++ Bar/22 8/5(2) 6/3 eq: -0.222 (-0.163) Player: Opponent: 48.27% (G:15.02% B:0.98%) 51.73% (G:21.98% B:1.26%) 3. 4-ply Bar/22 8/5(3) eq: -0.228 (-0.169) Player: Opponent: 47.14% (G:15.33% B:1.00%) 52.86% (G:20.85% B:1.04%) 4. 4-ply Bar/22 13/10 6/3(2) eq: -0.230 (-0.171) Player: Opponent: 47.43% (G:14.10% B:0.90%) 52.57% (G:20.74% B:0.96%) 5. 4-ply Bar/22 8/5 6/3(2) eq: -0.340 (-0.281) Player: Opponent: 45.33% (G:13.05% B:0.82%) 54.67% (G:23.40% B:1.19%)

32: 6/3* 3/1*

Pip=151-151

1. XG Roller++ 6/3* 3/1* eq: +0.015 Player: Opponent: 47.87% (G:20.59% B:0.78%) 52.13% (G:17.74% B:1.22%) 2. XG Roller++ 13/8 eq: -0.132 (-0.146) Player: Opponent: 45.31% (G:14.49% B:0.59%) 54.69% (G:17.82% B:1.04%) 3. XG Roller++ 24/22 6/3* eq: -0.140 (-0.155) Player: Opponent: 45.33% (G:15.86% B:0.79%) 54.67% (G:19.64% B:1.34%) 4. XG Roller++ 8/3* eq: -0.145 (-0.159) Player: Opponent: 44.95% (G:16.02% B:0.71%) 55.05% (G:18.52% B:1.23%) 5. XG Roller++ 13/11 6/3* eq: -0.149 (-0.164) Player: Opponent: 45.43% (G:16.64% B:0.92%) 54.57% (G:20.16% B:1.87%)

42: Cannot Move

Pip=155-146

1. 3-ply Cannot Move eq: -0.522 Player: Opponent: 42.25% (G:13.37% B:0.95%) 57.75% (G:31.68% B:1.21%)

Double/Take

Pip=155-146

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 57.54% (G:32.02% B:1.25%) 57.52% (G:32.09% B:1.29%)   Opponent Winning Chances: 42.46% (G:13.77% B:0.95%) 42.48% (G:13.85% B:1.00%)   Cubeless Equities +0.352 +0.782 Cubeful Equities      No double: +0.508 (-0.037)  Double/Take: +0.545      Double/Pass: +1.000 (+0.455)   Best Cube action: Double / Take

51: 13/7

Pip=155-146

1. XG Roller++ 13/7 eq: +0.097 Player: Opponent: 53.34% (G:27.68% B:1.06%) 46.66% (G:15.44% B:1.12%) 2. XG Roller++ 24/23 13/8 eq: +0.047 (-0.051) Player: Opponent: 52.68% (G:24.19% B:0.97%) 47.32% (G:15.03% B:0.87%) 3. XG Roller++ 24/18 eq: +0.016 (-0.081) Player: Opponent: 52.47% (G:22.90% B:0.96%) 47.53% (G:16.60% B:0.98%) 4. XG Roller++ 13/8 2/1 eq: +0.007 (-0.090) Player: Opponent: 50.94% (G:25.18% B:0.80%) 49.06% (G:15.82% B:1.01%) 5. 4-ply 24/23 6/1 eq: -0.167 (-0.264) Player: Opponent: 46.37% (G:22.22% B:0.63%) 53.63% (G:19.40% B:1.28%)

54: Bar/20

Pip=155-140

1. 3-ply Bar/20 eq: -0.239 Player: Opponent: 43.02% (G:13.27% B:0.93%) 56.98% (G:32.11% B:1.08%)

52: 8/1

Pip=150-140

1. XG Roller++ 13/8 7/5* eq: +0.059 Player: Opponent: 52.46% (G:26.86% B:1.15%) 47.54% (G:16.31% B:1.31%) 2. XG Roller++ 8/1 eq: +0.056 (-0.003) Player: Opponent: 52.26% (G:25.50% B:0.76%) 47.74% (G:14.23% B:0.76%) 3. 4-ply 24/22 13/8 eq: -0.199 (-0.258) Player: Opponent: 46.03% (G:18.91% B:0.68%) 53.97% (G:18.42% B:1.28%) 4. 4-ply 7/5* 6/1 eq: -0.200 (-0.259) Player: Opponent: 45.10% (G:23.01% B:0.72%) 54.90% (G:20.83% B:2.07%) 5. 4-ply 13/6 eq: -0.227 (-0.286) Player: Opponent: 44.84% (G:19.65% B:0.66%) 55.16% (G:19.19% B:1.68%)

63: Bar/22 20/14

Pip=150-133

1. XG Roller++ Bar/22 20/14 eq: -0.161 Player: Opponent: 45.39% (G:12.52% B:0.78%) 54.61% (G:28.94% B:0.84%) 2. XG Roller++ Bar/22 10/4 eq: -0.177 (-0.016) Player: Opponent: 44.41% (G:13.92% B:0.84%) 55.58% (G:29.28% B:0.87%) 3. XG Roller++ Bar/16 eq: -0.251 (-0.090) Player: Opponent: 43.27% (G:11.64% B:0.68%) 56.73% (G:31.53% B:1.04%) 4. 4-ply Bar/22 13/7 eq: -0.328 (-0.166) Player: Opponent: 41.22% (G:12.48% B:0.82%) 58.78% (G:34.27% B:2.37%) 5. 3-ply Bar/22 8/2 eq: -0.571 (-0.410) Player: Opponent: 35.83% (G:10.58% B:0.70%) 64.17% (G:41.20% B:4.44%)

11: 24/23 7/6 4/3*(2)

Pip=141-133

1. XG Roller++ 24/22 4/3*(2) eq: +0.282 Player: Opponent: 57.21% (G:32.58% B:0.84%) 42.79% (G:10.72% B:0.62%) 2. XG Roller++ 24/23 7/6 4/3*(2) eq: +0.276 (-0.005) Player: Opponent: 57.42% (G:32.55% B:0.79%) 42.58% (G:11.67% B:0.64%) 3. XG Roller++ 24/23(2) 4/3*(2) eq: +0.152 (-0.130) Player: Opponent: 53.66% (G:29.07% B:0.69%) 46.34% (G:11.15% B:0.59%) 4. 4-ply 6/5(2) 4/3*(2) eq: +0.097 (-0.185) Player: Opponent: 52.46% (G:27.88% B:0.55%) 47.54% (G:11.88% B:0.76%) 5. 4-ply 7/5 4/3*(2) eq: -0.024 (-0.306) Player: Opponent: 48.89% (G:26.79% B:0.68%) 51.11% (G:14.96% B:1.05%)

65: Bar/14

Pip=144-129

1. 4-ply Bar/14 eq: +0.276 Player: Opponent: 56.23% (G:10.59% B:0.44%) 43.77% (G:10.89% B:0.13%) 2. 4-ply Bar/20 14/8 eq: +0.081 (-0.195) Player: Opponent: 51.04% (G:13.54% B:0.76%) 48.96% (G:20.39% B:0.29%) 3. 3-ply Bar/20 10/4 eq: -0.315 (-0.591) Player: Opponent: 41.14% (G:11.56% B:0.65%) 58.86% (G:33.35% B:0.99%) 4. 2-ply Bar/20 8/2* eq: -0.414 (-0.690) Player: Opponent: 39.46% (G:11.42% B:0.53%) 60.54% (G:36.29% B:4.04%) 5. 2-ply Bar/20 13/7 eq: -0.596 (-0.872) Player: Opponent: 35.06% (G:9.81% B:0.68%) 64.94% (G:43.16% B:3.52%)

63: 24/15*

Pip=133-129

1. 3-ply 24/15* eq: +0.136 Player: Opponent: 55.90% (G:23.33% B:0.22%) 44.10% (G:10.55% B:0.49%) 2. 3-ply 24/18 13/10 eq: -0.412 (-0.548) Player: Opponent: 39.69% (G:9.70% B:0.18%) 60.31% (G:13.92% B:0.58%) 3. 3-ply 13/10 13/7 eq: -0.442 (-0.578) Player: Opponent: 38.13% (G:8.79% B:0.10%) 61.87% (G:11.98% B:0.57%) 4. 3-ply 24/21 13/7 eq: -0.461 (-0.597) Player: Opponent: 38.15% (G:8.52% B:0.10%) 61.85% (G:13.91% B:0.54%) 5. 3-ply 13/4 eq: -0.466 (-0.602) Player: Opponent: 37.54% (G:8.50% B:0.10%) 62.46% (G:12.65% B:0.59%)

61: Cannot Move

Pip=148-120

1. 3-ply Cannot Move eq: -0.396 Player: Opponent: 36.52% (G:7.85% B:0.43%) 63.48% (G:28.92% B:0.09%)

66: 15/3 13/7(2)

Pip=148-120

1. XG Roller++ 15/3 13/7(2) eq: +0.404 Player: Opponent: 63.25% (G:27.83% B:0.12%) 36.75% (G:5.81% B:0.25%) 2. XG Roller++ 15/9 13/7(3) eq: +0.364 (-0.039) Player: Opponent: 60.85% (G:29.52% B:0.19%) 39.15% (G:6.12% B:0.29%) 3. XG Roller++ 15/9 13/7 13/1 eq: +0.301 (-0.102) Player: Opponent: 59.73% (G:27.51% B:0.11%) 40.27% (G:7.55% B:0.37%) 4. XG Roller++ 13/7(4) eq: +0.261 (-0.143) Player: Opponent: 58.04% (G:27.03% B:0.14%) 41.96% (G:7.02% B:0.28%) 5. 4-ply 15/3 13/1 eq: +0.122 (-0.282) Player: Opponent: 55.22% (G:22.08% B:0.07%) 44.78% (G:8.61% B:0.36%)

32: Cannot Move

Pip=148-96

1. 3-ply Cannot Move eq: -0.600 Player: Opponent: 31.10% (G:4.62% B:0.19%) 68.90% (G:33.30% B:0.04%)

51: 23/18 3/2

Pip=148-96

1. XG Roller++ 23/18 3/2 eq: +0.656 Player: Opponent: 70.90% (G:33.59% B:0.15%) 29.10% (G:4.90% B:0.21%) 2. XG Roller++ 23/18 7/6 eq: +0.554 (-0.102) Player: Opponent: 67.33% (G:32.79% B:0.15%) 32.67% (G:5.92% B:0.26%) 3. 4-ply 23/18 6/5 eq: +0.363 (-0.293) Player: Opponent: 61.72% (G:30.07% B:0.10%) 38.28% (G:8.69% B:0.37%) 4. 4-ply 23/22 13/8 eq: +0.322 (-0.334) Player: Opponent: 60.32% (G:27.86% B:0.07%) 39.68% (G:6.80% B:0.30%) 5. 3-ply 23/22 6/1 eq: +0.282 (-0.374) Player: Opponent: 60.35% (G:25.01% B:0.08%) 39.65% (G:7.56% B:0.25%)

41: Bar/21 6/5

Pip=148-90

1. XG Roller++ Bar/21 8/7* eq: -0.504 Player: Opponent: 36.02% (G:7.62% B:0.33%) 63.98% (G:36.36% B:0.45%) 2. XG Roller++ Bar/21 6/5 eq: -0.529 (-0.026) Player: Opponent: 32.28% (G:5.52% B:0.20%) 67.72% (G:29.59% B:0.11%) 3. XG Roller++ Bar/20 eq: -0.620 (-0.116) Player: Opponent: 28.70% (G:4.48% B:0.16%) 71.30% (G:29.22% B:0.11%) 4. 4-ply Bar/21 14/13 eq: -0.748 (-0.244) Player: Opponent: 26.55% (G:4.19% B:0.13%) 73.45% (G:36.18% B:0.15%) 5. 4-ply Bar/21 5/4 eq: -0.801 (-0.298) Player: Opponent: 24.10% (G:4.22% B:0.16%) 75.90% (G:35.97% B:0.20%)

11: 6/4* 4/3 2/1

Pip=143-90

1. XG Roller++ 7/5(2) eq: +0.452 Player: Opponent: 63.86% (G:31.07% B:0.25%) 36.14% (G:6.51% B:0.34%) 2. XG Roller++ 6/4* 4/3 2/1 eq: +0.401 (-0.051) Player: Opponent: 63.40% (G:27.95% B:0.11%) 36.60% (G:6.87% B:0.28%) 3. XG Roller++ 6/4* 4/2 eq: +0.374 (-0.078) Player: Opponent: 62.57% (G:27.49% B:0.11%) 37.43% (G:7.23% B:0.29%) 4. XG Roller++ 7/4* 4/3 eq: +0.366 (-0.086) Player: Opponent: 61.55% (G:29.43% B:0.12%) 38.45% (G:7.67% B:0.34%) 5. XG Roller++ 6/4*(2) eq: +0.320 (-0.132) Player: Opponent: 61.11% (G:26.66% B:0.09%) 38.89% (G:8.34% B:0.34%)

55: Bar/20 14/9(2) 13/8

Pip=147-86

1. XG Roller++ Bar/20 14/9(2) 13/8 eq: -0.178 Player: Opponent: 39.29% (G:6.48% B:0.25%) 60.71% (G:12.95% B:0.06%) 2. XG Roller++ Bar/20 13/8 6/1(2) eq: -0.307 (-0.130) Player: Opponent: 35.73% (G:6.44% B:0.18%) 64.27% (G:17.28% B:0.08%) 3. XG Roller++ Bar/20 13/3 8/3 eq: -0.320 (-0.142) Player: Opponent: 36.13% (G:6.89% B:0.24%) 63.87% (G:19.43% B:0.12%) 4. XG Roller++ Bar/20 8/3(2) 6/1 eq: -0.344 (-0.166) Player: Opponent: 34.98% (G:6.78% B:0.20%) 65.02% (G:19.13% B:0.09%) 5. 4-ply Bar/20 14/9(2) 6/1 eq: -0.365 (-0.187) Player: Opponent: 33.82% (G:6.00% B:0.19%) 66.18% (G:18.19% B:0.07%)

63: 18/9

Pip=127-86

1. 3-ply 18/9 eq: +0.146 Player: Opponent: 60.47% (G:9.36% B:0.02%) 39.53% (G:5.26% B:0.11%) 2. 3-ply 18/15 13/7 eq: -0.281 (-0.427) Player: Opponent: 44.23% (G:8.16% B:0.06%) 55.77% (G:9.08% B:0.30%) 3. 3-ply 18/15 7/1 eq: -0.323 (-0.469) Player: Opponent: 43.78% (G:8.46% B:0.04%) 56.22% (G:12.86% B:0.48%) 4. 3-ply 13/4 eq: -0.456 (-0.603) Player: Opponent: 37.11% (G:11.38% B:0.13%) 62.89% (G:13.20% B:0.65%) 5. 2-ply 7/4 7/1 eq: -0.499 (-0.645) Player: Opponent: 36.13% (G:10.82% B:0.07%) 63.87% (G:15.35% B:0.52%)

64: 20/16* 16/10

Pip=127-77

1. XG Roller++ 20/16* 16/10 eq: +0.628 Player: Opponent: 67.99% (G:8.01% B:0.26%) 32.01% (G:4.48% B:0.02%) 2. XG Roller++ 20/10 eq: -0.947 (-1.575) Player: Opponent: 2.39% (G:0.01% B:0.00%) 97.61% (G:0.13% B:0.00%) 3. 3-ply 20/16* 13/7 eq: +0.177 (-0.452) Player: Opponent: 56.01% (G:9.87% B:0.43%) 43.99% (G:18.66% B:0.31%) 4. 3-ply 20/16* 8/2 eq: +0.084 (-0.545) Player: Opponent: 51.31% (G:9.41% B:0.32%) 48.69% (G:17.22% B:0.12%) 5. 2-ply 20/16* 9/3 eq: -0.246 (-0.874) Player: Opponent: 42.57% (G:7.91% B:0.31%) 57.43% (G:27.61% B:0.35%)

62: Bar/23 7/1

Pip=117-93

1. XG Roller++ Bar/23 13/7 eq: -0.739 Player: Opponent: 27.81% (G:3.43% B:0.03%) 72.19% (G:9.57% B:0.27%) 2. XG Roller++ Bar/23 7/1 eq: -0.746 (-0.007) Player: Opponent: 28.15% (G:3.40% B:0.01%) 71.85% (G:8.81% B:0.26%)

No double

Pip=117-85

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 71.84% (G:8.67% B:0.27%) 72.00% (G:8.80% B:0.29%)   Opponent Winning Chances: 28.16% (G:3.19% B:0.01%) 28.00% (G:3.40% B:0.02%)   Cubeless Equities +0.495 +0.939 Cubeful Equities  No redouble: +0.754      Redouble/Take: +0.657 (-0.097)      Redouble/Pass: +1.000 (+0.246)   Best Cube action: No redouble / Take Percentage of wrong pass needed to make the double decision right: 22.1%

64: 8/2* 6/2

Pip=117-85

1. 4-ply 8/2* 6/2 eq: +0.772 Player: Opponent: 72.20% (G:11.98% B:0.38%) 27.80% (G:3.25% B:0.02%) 2. 4-ply 10/4 8/4 eq: +0.580 (-0.192) Player: Opponent: 66.19% (G:8.22% B:0.27%) 33.81% (G:2.23% B:0.01%) 3. 3-ply 10/6 8/2* eq: +0.319 (-0.453) Player: Opponent: 57.26% (G:9.65% B:0.31%) 42.74% (G:7.86% B:0.03%) 4. 3-ply 10/4 6/2* eq: +0.249 (-0.524) Player: Opponent: 55.88% (G:10.71% B:0.44%) 44.12% (G:14.01% B:0.05%) 5. 3-ply 13/9 13/7 eq: +0.239 (-0.534) Player: Opponent: 55.78% (G:6.29% B:0.26%) 44.22% (G:9.59% B:0.03%)

41: Bar/24 7/3

Pip=107-87

1. XG Roller++ Bar/24 7/3 eq: -0.739 Player: Opponent: 28.65% (G:3.22% B:0.02%) 71.35% (G:9.87% B:0.33%) 2. XG Roller++ Bar/24 13/9 eq: -0.866 (-0.127) Player: Opponent: 25.40% (G:3.16% B:0.02%) 74.60% (G:13.56% B:0.56%) 3. 4-ply Bar/24 6/2 eq: -0.937 (-0.198) Player: Opponent: 23.75% (G:1.87% B:0.00%) 76.25% (G:13.05% B:0.37%) 4. 4-ply Bar/21 7/6 eq: -0.940 (-0.201) Player: Opponent: 23.51% (G:2.57% B:0.01%) 76.49% (G:12.62% B:0.23%) 5. 4-ply Bar/21 3/2 eq: -1.000 (-0.261) Player: Opponent: 22.62% (G:2.50% B:0.01%) 77.38% (G:14.62% B:0.28%)

No double

Pip=107-82

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 71.43% (G:10.02% B:0.31%) 71.63% (G:10.12% B:0.30%)   Opponent Winning Chances: 28.57% (G:3.21% B:0.02%) 28.37% (G:3.27% B:0.02%)   Cubeless Equities +0.501 +0.949 Cubeful Equities  No redouble: +0.746      Redouble/Take: +0.643 (-0.103)      Redouble/Pass: +1.000 (+0.254)   Best Cube action: No redouble / Take Percentage of wrong pass needed to make the double decision right: 22.4%

64: 10/4 8/4

Pip=107-82

1. 4-ply 10/4 8/4 eq: +0.670 Player: Opponent: 68.64% (G:9.14% B:0.29%) 31.36% (G:1.91% B:0.01%) 2. 4-ply 10/4 5/1* eq: +0.425 (-0.245) Player: Opponent: 60.16% (G:13.50% B:0.50%) 39.84% (G:10.04% B:0.05%) 3. 4-ply 13/7 5/1* eq: +0.382 (-0.288) Player: Opponent: 60.96% (G:11.74% B:0.44%) 39.04% (G:14.80% B:0.31%) 4. 3-ply 13/9 13/7 eq: +0.355 (-0.315) Player: Opponent: 59.15% (G:5.72% B:0.17%) 40.85% (G:6.02% B:0.02%) 5. 3-ply 10/4 6/2 eq: +0.323 (-0.347) Player: Opponent: 57.11% (G:7.85% B:0.24%) 42.89% (G:5.33% B:0.02%)

42: 13/11 13/9

Pip=97-82

1. XG Roller++ 24/18 eq: -0.869 Player: Opponent: 25.01% (G:1.09% B:0.01%) 74.99% (G:13.28% B:0.28%) 2. XG Roller++ 13/11 13/9 eq: -0.969 (-0.099) Player: Opponent: 21.66% (G:1.83% B:0.01%) 78.34% (G:6.91% B:0.19%) 3. XG Roller++ 13/7 eq: -1.000 (-0.131) Player: Opponent: 17.92% (G:1.85% B:0.02%) 82.08% (G:20.19% B:0.74%) 4. XG Roller++ 13/9 3/1 eq: -1.000 (-0.131) Player: Opponent: 17.71% (G:1.89% B:0.02%) 82.29% (G:21.06% B:0.79%) 5. XG Roller++ 6/4 6/2 eq: -1.053 (-0.184) Player: Opponent: 16.22% (G:1.80% B:0.01%) 83.78% (G:24.28% B:0.95%)

No double

Pip=97-76

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 78.47% (G:7.17% B:0.20%) 78.95% (G:7.43% B:0.20%)   Opponent Winning Chances: 21.53% (G:1.89% B:0.01%) 21.05% (G:2.34% B:0.02%)   Cubeless Equities +0.625 +1.235 Cubeful Equities  No redouble: +0.829 (-0.165)  Redouble/Take: +0.993      Redouble/Pass: +1.000 (+0.007)   Best Cube action: Redouble / Take

21: 9/7 8/7

Pip=97-76

1. 4-ply 9/7 8/7 eq: +0.912 Player: Opponent: 82.84% (G:5.58% B:0.14%) 17.16% (G:1.01% B:0.01%) 2. 4-ply 9/8 9/7 eq: +0.651 (-0.261) Player: Opponent: 68.08% (G:6.74% B:0.24%) 31.92% (G:3.23% B:0.01%) 3. 4-ply 13/11 9/8 eq: +0.634 (-0.277) Player: Opponent: 68.02% (G:4.56% B:0.13%) 31.98% (G:2.66% B:0.02%) 4. 4-ply 13/11 5/4 eq: +0.626 (-0.286) Player: Opponent: 67.18% (G:5.59% B:0.20%) 32.82% (G:3.73% B:0.03%) 5. 4-ply 13/12 8/6 eq: +0.622 (-0.290) Player: Opponent: 69.18% (G:4.89% B:0.12%) 30.82% (G:2.04% B:0.01%)

43: 11/7 9/6

Pip=94-76

1. XG Roller++ 11/7 9/6 eq: -1.000 Player: Opponent: 13.72% (G:0.50% B:0.00%) 86.28% (G:4.35% B:0.09%) 2. XG Roller++ 11/4 eq: -1.000 Player: Opponent: 13.44% (G:0.54% B:0.00%) 86.56% (G:4.68% B:0.13%) 3. XG Roller++ 11/8 9/5 eq: -1.000 Player: Opponent: 13.42% (G:0.58% B:0.00%) 86.58% (G:5.01% B:0.13%) 4. XG Roller++ 9/2 eq: -1.000 Player: Opponent: 13.16% (G:0.51% B:0.00%) 86.84% (G:5.02% B:0.11%) 5. XG Roller++ 6/3 6/2 eq: -1.000 Player: Opponent: 12.25% (G:0.46% B:0.00%) 87.75% (G:6.86% B:0.17%)

Double/Pass

Pip=94-69

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 86.19% (G:4.61% B:0.10%) 87.41% (G:4.62% B:0.12%)   Opponent Winning Chances: 13.81% (G:0.47% B:0.00%) 12.59% (G:0.61% B:0.00%)   Cubeless Equities +0.768 +1.587 Cubeful Equities      No redouble: +0.963 (-0.037)      Redouble/Take: +1.449 (+0.449)  Redouble/Pass: +1.000   Best Cube action: Redouble / Pass

Wins 2pts.

Game Summary:

Manolios	Category	Chiotinis
Expert (-0.0127)	Total Error	Expert (-0.0104)
World Champ. (-0.0026)	Checker Play	Expert (-0.0118)
Intermediate (-0.0329)	Cube Play	World Champ. (+0.0000)
6.35	Performance Rating	5.18
1	Move Errors	2(1)
-0.026(-0.31%)	Equity lost (cost)	-0.166(-1.99%)
1(1)	Double Errors	0
-0.165(-1.98%)	Equity lost (cost)	+0.000
0	Take Errors	0
+0.000	Equity lost (cost)	+0.000
2(1)	Total Error	2(1)
-0.191(-2.29%)	Equity lost (cost)	-0.166(-1.99%)
4	Jokers	3
+0.971(+14.67%)	Luck	-0.971(-14.67%)

 Game 5

9 point match, Score is Manolios: 4, Chiotinis: 1

64: 8/2 6/2

Pip=167-167

1. Book1 8/2 6/2 eq: +0.156 Player: Opponent: 49.93% (G:15.89% B:0.81%) 50.07% (G:14.42% B:0.84%) Conf.: ± 0.004 (+0.153...+0.160) - [100.0%] 2. Book1 24/18 13/9 eq: +0.140 (-0.016) Player: Opponent: 50.49% (G:13.75% B:0.65%) 49.51% (G:14.20% B:0.79%) Conf.: ± 0.004 (+0.137...+0.144) - [0.0%] 3. Book1 24/14 eq: +0.132 (-0.025) Player: Opponent: 50.72% (G:12.07% B:0.53%) 49.28% (G:13.34% B:0.65%) Conf.: ± 0.003 (+0.128...+0.135) - [0.0%] 4. Book2 24/20 13/7 eq: +0.078 (-0.078) Player: Opponent: 48.25% (G:13.12% B:0.55%) 51.75% (G:13.92% B:0.62%) 5. Book2 13/9 13/7 eq: +0.072 (-0.084) Player: Opponent: 47.83% (G:13.86% B:0.64%) 52.17% (G:14.56% B:0.91%)   1 Generated by Steven Carey on 31-Jul-12 using eXtreme Gammon 2.00 23328 Games rolled with Variance Reduction. Dice Seed: 19 Moves: 3-ply, cube decisions: XG Roller 2 Generated by GameSite 2000, Ltd on 21-May-11 using eXtreme Gammon 2.00 Analyzed in XG Roller++

54: 24/20 13/8

Pip=167-157

1. XG Roller++ 13/9 13/8 eq: -0.251 Player: Opponent: 47.97% (G:13.89% B:0.64%) 52.03% (G:16.11% B:0.94%) 2. XG Roller++ 24/20 13/8 eq: -0.277 (-0.026) Player: Opponent: 47.83% (G:12.48% B:0.66%) 52.17% (G:17.00% B:0.64%) 3. XG Roller++ 24/15 eq: -0.339 (-0.088) Player: Opponent: 46.66% (G:10.39% B:0.47%) 53.34% (G:17.69% B:0.59%) 4. XG Roller++ 13/4 eq: -0.349 (-0.097) Player: Opponent: 46.05% (G:12.35% B:0.53%) 53.95% (G:17.20% B:1.11%) 5. XG Roller++ 13/8 6/2 eq: -0.435 (-0.184) Player: Opponent: 44.42% (G:11.74% B:0.56%) 55.58% (G:18.52% B:1.20%)

No double

Pip=158-157

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 51.96% (G:17.22% B:0.63%) 52.15% (G:16.88% B:0.62%)   Opponent Winning Chances: 48.04% (G:12.56% B:0.71%) 47.85% (G:12.31% B:0.70%)   Cubeless Equities +0.087 +0.247 Cubeful Equities  No double: +0.274      Double/Take: +0.139 (-0.135)      Double/Pass: +1.000 (+0.726)   Best Cube action: No double / Take Percentage of wrong pass needed to make the double decision right: 13.5%

41: 6/5* 5/1*

Pip=158-157

1. XG Roller++ 13/9 6/5* eq: +0.205 Player: Opponent: 50.14% (G:17.11% B:0.75%) 49.86% (G:14.40% B:1.00%) 2. XG Roller++ 6/5* 5/1* eq: +0.178 (-0.027) Player: Opponent: 49.41% (G:17.63% B:0.38%) 50.59% (G:13.96% B:0.72%) 3. XG Roller++ 24/20 6/5* eq: +0.165 (-0.040) Player: Opponent: 49.73% (G:15.04% B:0.49%) 50.27% (G:12.92% B:0.62%) 4. XG Roller++ 24/23 13/9 eq: +0.047 (-0.159) Player: Opponent: 46.86% (G:14.43% B:0.43%) 53.14% (G:13.89% B:0.69%) 5. 4-ply 13/8 eq: +0.035 (-0.170) Player: Opponent: 47.32% (G:12.27% B:0.36%) 52.68% (G:13.12% B:0.57%)

62: Cannot Move

Pip=164-152

1. 3-ply Cannot Move eq: -0.758 Player: Opponent: 40.90% (G:10.38% B:0.56%) 59.10% (G:29.78% B:0.53%)

Double/Take

Pip=164-152

Analyzed in XG Roller++ No double Double/Take   Player Winning Chances: 59.01% (G:29.86% B:0.48%) 59.01% (G:30.04% B:0.47%)   Opponent Winning Chances: 40.99% (G:10.77% B:0.62%) 40.99% (G:10.87% B:0.64%)   Cubeless Equities +0.372 +0.865 Cubeful Equities      No double: +0.670 (-0.098)  Double/Take: +0.769      Double/Pass: +1.000 (+0.231)   Best Cube action: Double / Take

65: 13/7 6/1

Pip=164-152

1. XG Roller++ 13/7 6/1 eq: +0.480 Player: Opponent: 61.69% (G:32.92% B:0.35%) 38.31% (G:9.51% B:0.48%) 2. XG Roller++ 24/18 6/1 eq: +0.374 (-0.106) Player: Opponent: 60.01% (G:27.26% B:0.32%) 39.99% (G:9.86% B:0.42%) 3. 4-ply 13/8 13/7 eq: +0.250 (-0.230) Player: Opponent: 56.20% (G:24.82% B:0.49%) 43.80% (G:11.21% B:0.59%) 4. 4-ply 24/18 13/8 eq: +0.180 (-0.300) Player: Opponent: 55.64% (G:19.64% B:0.41%) 44.36% (G:10.87% B:0.44%) 5. 3-ply 24/13 eq: +0.147 (-0.333) Player: Opponent: 54.78% (G:18.54% B:0.46%) 45.22% (G:11.05% B:0.46%)

62: Cannot Move

Pip=164-141

1. 3-ply Cannot Move eq: -0.789 Player: Opponent: 30.84% (G:7.12% B:0.34%) 69.16% (G:44.12% B:0.51%)

64: 13/9 13/7

Pip=164-141

1. XG Roller++ 13/9 13/7 eq: +0.813 Player: Opponent: 69.44% (G:45.13% B:0.35%) 30.56% (G:7.36% B:0.39%) 2. XG Roller++ 24/18 13/9 eq: +0.768 (-0.045) Player: Opponent: 69.01% (G:42.19% B:0.35%) 30.99% (G:7.38% B:0.38%) 3. XG Roller++ 24/20 13/7 eq: +0.722 (-0.091) Player: Opponent: 68.54% (G:38.99% B:0.34%) 31.46% (G:6.94% B:0.32%) 4. XG Roller++ 24/14 eq: +0.673 (-0.140) Player: Opponent: 67.46% (G:37.06% B:0.34%) 32.54% (G:7.28% B:0.33%) 5. 4-ply 24/20 24/18 eq: +0.622 (-0.191) Player: Opponent: 66.91% (G:34.20% B:0.35%) 33.09% (G:7.45% B:0.37%)

52: Bar/20

Pip=164-131

1. 3-ply Bar/20 eq: -0.858 Player: Opponent: 29.16% (G:6.60% B:0.34%) 70.84% (G:46.37% B:0.47%)

63: 24/18 8/5*

Pip=159-131

1. XG Roller++ 24/18 8/5* eq: +0.807 Player: Opponent: 69.25% (G:45.05% B:0.35%) 30.75% (G:7.56% B:0.45%) 2. XG Roller++ 13/7 8/5* eq: +0.751 (-0.056) Player: Opponent: 66.88% (G:45.21% B:0.34%) 33.12% (G:8.34% B:0.54%) 3. 4-ply 24/15 eq: +0.534 (-0.273) Player: Opponent: 65.47% (G:29.42% B:0.29%) 34.53% (G:7.44% B:0.35%) 4. 4-ply 24/18 9/6 eq: +0.522 (-0.285) Player: Opponent: 65.24% (G:28.67% B:0.39%) 34.76% (G:7.23% B:0.28%) 5. 4-ply 9/3 8/5* eq: +0.516 (-0.291) Player: Opponent: 61.62% (G:36.78% B:0.37%) 38.38% (G:10.47% B:0.69%)

64: Bar/21

Pip=164-122

1. 3-ply Bar/21 eq: -1.104 Player: Opponent: 23.15% (G:4.78% B:0.24%) 76.85% (G:54.62% B:0.41%)

63: 24/18 8/5

Pip=160-122

1. XG Roller++ 24/18 8/5 eq: +0.822 Player: Opponent: 72.96% (G:37.90% B:0.29%) 27.04% (G:4.70% B:0.18%) 2. XG Roller++ 13/7 8/5 eq: +0.815 (-0.007) Player: Opponent: 71.30% (G:40.77% B:0.34%) 28.70% (G:5.37% B:0.24%) 3. XG Roller++ 24/18 7/4* eq: +0.744 (-0.078) Player: Opponent: 67.78% (G:42.71% B:0.31%) 32.22% (G:8.37% B:0.46%) 4. XG Roller++ 13/4* eq: +0.726 (-0.096) Player: Opponent: 66.31% (G:44.90% B:0.34%) 33.69% (G:10.47% B:1.01%) 5. XG Roller++ 9/3 8/5 eq: +0.684 (-0.138) Player: Opponent: 68.36% (G:35.88% B:0.34%) 31.64% (G:6.64% B:0.31%)

63: Bar/16*

Pip=160-113

1. 3-ply Bar/16* eq: -0.578 Player: Opponent: 33.50% (G:5.61% B:0.22%) 66.50% (G:30.67% B:0.25%) 2. 3-ply Bar/22 21/15 eq: -1.068 (-0.490) Player: Opponent: 22.70% (G:3.67% B:0.16%) 77.30% (G:50.33% B:0.32%) 3. 3-ply Bar/22 8/2 eq: -1.073 (-0.494) Player: Opponent: 22.83% (G:4.55% B:0.20%) 77.17% (G:50.75% B:0.71%)

41: Bar/24 13/9*

Pip=151-129

1. 3-ply Bar/24 13/9* eq: +0.702 Player: Opponent: 68.57% (G:37.19% B:0.45%) 31.43% (G:6.17% B:0.29%) 2. 3-ply Bar/20 eq: +0.349 (-0.353) Player: Opponent: 61.99% (G:19.88% B:0.19%) 38.01% (G:5.67% B:0.22%) 3. 3-ply Bar/24 7/3 eq: +0.330 (-0.372) Player: Opponent: 59.62% (G:23.96% B:0.23%) 40.38% (G:7.80% B:0.39%) 4. 3-ply Bar/21 7/6 eq: +0.310 (-0.392) Player: Opponent: 60.21% (G:20.37% B:0.23%) 39.79% (G:6.54% B:0.26%) 5. 3-ply Bar/21 5/4* eq: +0.219 (-0.483) Player: Opponent: 55.13% (G:24.06% B:0.37%) 44.87% (G:10.42% B:0.50%)

42: Bar/21 8/6

Pip=160-124

1. XG Roller++ Bar/21 8/6 eq: -0.273 Player: Opponent: 38.58% (G:7.10% B:0.28%) 61.42% (G:14.87% B:0.17%) 2. XG Roller++ Bar/21 6/4 eq: -0.306 (-0.033) Player: Opponent: 39.32% (G:7.53% B:0.34%) 60.68% (G:19.36% B:0.20%) 3. XG Roller++ Bar/21 13/11 eq: -0.345 (-0.072) Player: Opponent: 37.84% (G:7.31% B:0.32%) 62.16% (G:19.71% B:0.23%)

61: 24/23 9/3

Pip=154-124

1. XG Roller++ 13/6 eq: +0.216 Player: Opponent: 58.74% (G:15.36% B:0.16%) 41.26% (G:7.51% B:0.26%) 2. XG Roller++ 13/7 9/8 eq: +0.210 (-0.006) Player: Opponent: 58.94% (G:14.31% B:0.15%) 41.06% (G:7.23% B:0.25%) 3. XG Roller++ 9/3 7/6 eq: +0.194 (-0.022) Player: Opponent: 56.91% (G:17.73% B:0.21%) 43.09% (G:9.22% B:0.38%) 4. XG Roller++ 24/23 9/3 eq: +0.183 (-0.033) Player: Opponent: 57.59% (G:15.41% B:0.20%) 42.41% (G:9.11% B:0.35%) 5. XG Roller++ 24/23 13/7 eq: +0.181 (-0.035) Player: Opponent: 58.14% (G:13.59% B:0.15%) 41.86% (G:7.76% B:0.26%)

22: 13/11(2) 6/4(2)

Pip=154-117

1. XG Roller++ 13/11(2) 6/4(2) eq: -0.002 Player: Opponent: 48.53% (G:11.63% B:0.51%) 51.47% (G:12.99% B:0.15%) 2. XG Roller++ 8/4 6/4(2) eq: -0.093 (-0.090) Player: Opponent: 44.87% (G:9.67% B:0.40%) 55.13% (G:12.74% B:0.15%) 3. XG Roller++ 13/9 6/4(2) eq: -0.108 (-0.105) Player: Opponent: 45.34% (G:11.03% B:0.59%) 54.66% (G:15.64% B:0.19%) 4. XG Roller++ 13/11 6/4(3) eq: -0.124 (-0.122) Player: Opponent: 45.00% (G:11.41% B:0.66%) 55.00% (G:16.57% B:0.19%) 5. XG Roller++ 6/4(2) 6/2* eq: -0.135 (-0.132) Player: Opponent: 44.81% (G:10.55% B:0.46%) 55.19% (G:16.64% B:0.17%)

42: 7/5 7/3

Pip=146-117

1. XG Roller++ 7/5 7/3 eq: +0.004 Player: Opponent: 50.99% (G:13.97% B:0.18%) 49.01% (G:11.77% B:0.45%) 2. XG Roller++ 13/11 7/3 eq: -0.013 (-0.017) Player: Opponent: 49.89% (G:14.90% B:0.17%) 50.11% (G:12.39% B:0.53%) 3. XG Roller++ 13/7 eq: -0.031 (-0.035) Player: Opponent: 50.17% (G:12.89% B:0.15%) 49.83% (G:12.37% B:0.47%) 4. 4-ply 13/9 7/5 eq: -0.241 (-0.245) Player: Opponent: 42.00% (G:12.88% B:0.18%) 58.00% (G:16.88% B:0.92%) 5. 4-ply 13/9 5/3 eq: -0.270 (-0.273) Player: Opponent: 41.20% (G:12.25% B:0.17%) 58.80% (G:17.69% B:0.89%)

64: 8/2* 6/2

Pip=146-111

1. 3-ply 8/2* 6/2 eq: +0.094 Player: Opponent: 52.03% (G:13.90% B:0.48%) 47.97% (G:12.46% B:0.19%) 2. 3-ply 21/11 eq: -0.305 (-0.400) Player: Opponent: 41.81% (G:7.26% B:0.35%) 58.19% (G:24.32% B:0.03%) 3. 3-ply 11/1 eq: -0.425 (-0.520) Player: Opponent: 34.82% (G:6.36% B:0.24%) 65.18% (G:20.20% B:0.31%) 4. 2-ply 8/4 8/2* eq: -0.566 (-0.660) Player: Opponent: 33.85% (G:7.27% B:0.34%) 66.15% (G:30.70% B:0.50%) 5. 2-ply 21/17 8/2* eq: -0.650 (-0.744) Player: Opponent: 34.97% (G:7.61% B:0.36%) 65.03% (G:39.98% B:1.04%)

61: Bar/18

Pip=136-113

1. XG Roller++ Bar/18 eq: +0.078 Player: Opponent: 54.88% (G:11.29% B:0.16%) 45.12% (G:8.64% B:0.23%) 2. XG Roller++ Bar/24 13/7 eq: -0.031 (-0.108) Player: Opponent: 49.48% (G:13.53% B:0.16%) 50.52% (G:11.06% B:0.36%)

62: 8/6 8/2

Pip=136-106

1. XG Roller++ 11/9 11/5 eq: -0.222 Player: Opponent: 40.97% (G:8.52% B:0.27%) 59.03% (G:15.56% B:0.21%) 2. XG Roller++ 8/6 8/2 eq: -0.229 (-0.007) Player: Opponent: 40.36% (G:6.91% B:0.18%) 59.64% (G:14.23% B:0.18%) 3. XG Roller++ 21/13 eq: -0.330 (-0.108) Player: Opponent: 40.23% (G:7.29% B:0.29%) 59.77% (G:22.71% B:0.10%) 4. XG Roller++ 11/3 eq: -0.344 (-0.121) Player: Opponent: 37.00% (G:7.04% B:0.22%) 63.00% (G:17.63% B:0.24%) 5. XG Roller++ 11/5 6/4 eq: -0.346 (-0.124) Player: Opponent: 36.99% (G:7.13% B:0.23%) 63.01% (G:17.96% B:0.22%)

64: 13/3

Pip=128-106

1. 4-ply 13/3 eq: +0.193 Player: Opponent: 58.53% (G:13.25% B:0.13%) 41.47% (G:6.25% B:0.15%) 2. 4-ply 13/7 5/1 eq: +0.029 (-0.164) Player: Opponent: 52.78% (G:11.79% B:0.12%) 47.22% (G:9.80% B:0.23%) 3. 3-ply 13/7 6/2 eq: -0.275 (-0.468) Player: Opponent: 42.33% (G:9.18% B:0.13%) 57.67% (G:17.52% B:0.58%)

63: 21/18 21/15

Pip=128-96

1. XG Roller++ 21/18 21/15 eq: -0.256 Player: Opponent: 40.17% (G:4.88% B:0.15%) 59.83% (G:15.22% B:0.12%) 2. XG Roller++ 11/8 11/5 eq: -0.385 (-0.129) Player: Opponent: 34.64% (G:5.17% B:0.15%) 65.36% (G:15.86% B:0.16%) 3. 4-ply 11/5 6/3 eq: -0.430 (-0.174) Player: Opponent: 34.30% (G:5.70% B:0.16%) 65.70% (G:19.34% B:0.17%) 4. 4-ply 21/15 6/3 eq: -0.438 (-0.182) Player: Opponent: 37.15% (G:6.87% B:0.22%) 62.85% (G:25.89% B:0.28%) 5. 4-ply 13/4 eq: -0.553 (-0.297) Player: Opponent: 28.35% (G:3.96% B:0.12%) 71.65% (G:17.50% B:0.16%)

51: 18/13 3/2

Pip=119-96

1. XG Roller++ 18/13 3/2 eq: +0.011 Player: Opponent: 52.42% (G:8.66% B:0.07%) 47.58% (G:5.29% B:0.12%) 2. XG Roller++ 18/13 5/4 eq: -0.023 (-0.034) Player: Opponent: 51.14% (G:8.88% B:0.07%) 48.86% (G:6.70% B:0.23%) 3. XG Roller++ 6/5 6/1 eq: -0.108 (-0.119) Player: Opponent: 48.99% (G:6.60% B:0.05%) 51.01% (G:8.84% B:0.21%) 4. XG Roller++ 6/1 5/4 eq: -0.123 (-0.133) Player: Opponent: 48.43% (G:7.29% B:0.05%) 51.57% (G:10.46% B:0.30%) 5. XG Roller++ 6/1 3/2 eq: -0.132 (-0.143) Player: Opponent: 48.12% (G:6.75% B:0.05%) 51.88% (G:9.79% B:0.26%)

51: 18/12*

Pip=119-90

1. 4-ply 18/12* eq: -0.085 Player: Opponent: 46.39% (G:5.60% B:0.17%) 53.61% (G:13.05% B:0.12%) 2. 4-ply 13/8 13/12* eq: -0.325 (-0.239) Player: Opponent: 42.26% (G:6.98% B:0.24%) 57.74% (G:24.24% B:1.62%) 3. 3-ply 18/13 6/5 eq: -0.453 (-0.368) Player: Opponent: 33.84% (G:3.48% B:0.09%) 66.16% (G:19.51% B:0.06%) 4. 3-ply 18/13 15/14 eq: -0.479 (-0.394) Player: Opponent: 31.83% (G:2.82% B:0.07%) 68.17% (G:17.62% B:0.03%) 5. 3-ply 18/13 2/1 eq: -0.531 (-0.446) Player: Opponent: 31.15% (G:3.55% B:0.09%) 68.85% (G:21.08% B:0.06%)

41: Bar/20

Pip=113-102

1. XG Roller++ Bar/20 eq: -0.073 Player: Opponent: 49.64% (G:7.15% B:0.08%) 50.36% (G:6.05% B:0.12%) 2. XG Roller++ Bar/24 5/1 eq: -0.193 (-0.120) Player: Opponent: 45.45% (G:5.82% B:0.04%) 54.55% (G:7.97% B:0.19%) 3. 4-ply Bar/24 6/2 eq: -0.304 (-0.231) Player: Opponent: 41.61% (G:4.64% B:0.02%) 58.39% (G:9.94% B:0.27%)

54: 12/3

Pip=113-97

1. 4-ply 12/3 eq: -0.096 Player: Opponent: 44.78% (G:4.89% B:0.14%) 55.22% (G:10.57% B:0.08%) 2. 4-ply 15/6 eq: -0.296 (-0.200) Player: Opponent: 38.16% (G:4.64% B:0.16%) 61.84% (G:14.76% B:0.10%) 3. 4-ply 15/11 6/1 eq: -0.348 (-0.251) Player: Opponent: 37.79% (G:4.91% B:0.14%) 62.21% (G:18.63% B:0.11%) 4. 3-ply 13/8 12/8 eq: -0.533 (-0.437) Player: Opponent: 33.67% (G:3.87% B:0.15%) 66.33% (G:25.58% B:0.39%) 5. 2-ply 15/10 6/2 eq: -0.798 (-0.702) Player: Opponent: 28.49% (G:4.21% B:0.14%) 71.51% (G:38.43% B:0.45%)

54: 20/11

Pip=104-97

1. XG Roller++ 20/11 eq: -0.024 Player: Opponent: 51.51% (G:6.57% B:0.07%) 48.49% (G:3.95% B:0.09%) 2. XG Roller++ 20/15 5/1 eq: -0.131 (-0.108) Player: Opponent: 47.84% (G:5.53% B:0.07%) 52.16% (G:6.26% B:0.13%) 3. 4-ply 18/9 eq: -0.263 (-0.240) Player: Opponent: 41.87% (G:9.04% B:0.16%) 58.13% (G:12.11% B:0.39%) 4. 4-ply 20/15 6/2 eq: -0.298 (-0.274) Player: Opponent: 41.79% (G:4.94% B:0.04%) 58.21% (G:10.33% B:0.30%) 5. 4-ply 20/16 18/13 eq: -0.339 (-0.316) Player: Opponent: 37.72% (G:15.05% B:1.41%) 62.28% (G:25.30% B:1.41%)

31: 15/14* 6/3

Pip=104-88

1. 3-ply 15/14* 6/3 eq: +0.488 Player: Opponent: 65.92% (G:12.10% B:0.17%) 34.08% (G:4.31% B:0.02%) 2. 3-ply 15/11 eq: -0.009 (-0.497) Player: Opponent: 45.20% (G:2.10% B:0.03%) 54.80% (G:2.78% B:0.01%) 3. 3-ply 15/14* 14/11 eq: -0.036 (-0.524) Player: Opponent: 47.76% (G:6.76% B:0.15%) 52.24% (G:12.11% B:0.04%) 4. 2-ply 6/5 6/3 eq: -0.268 (-0.755) Player: Opponent: 38.91% (G:4.55% B:0.12%) 61.09% (G:13.88% B:0.07%) 5. 2-ply 6/3 2/1 eq: -0.294 (-0.782) Player: Opponent: 37.70% (G:4.99% B:0.11%) 62.30% (G:13.96% B:0.06%)

33: Cannot Move

Pip=100-102

1. 3-ply Cannot Move eq: -0.608 Player: Opponent: 29.37% (G:3.76% B:0.04%) 70.63% (G:14.06% B:0.24%)

21: 14/11

Pip=100-102

1. XG Roller++ 14/11 eq: +0.559 Player: Opponent: 68.21% (G:11.77% B:0.17%) 31.79% (G:2.91% B:0.03%) 2. XG Roller++ 13/12 13/11 eq: +0.515 (-0.044) Player: Opponent: 67.46% (G:12.65% B:0.29%) 32.54% (G:5.66% B:0.09%) 3. XG Roller++ 14/13 6/4 eq: +0.464 (-0.095) Player: Opponent: 64.76% (G:10.35% B:0.16%) 35.24% (G:3.72% B:0.04%) 4. XG Roller++ 14/12 13/12 eq: +0.462 (-0.097) Player: Opponent: 64.84% (G:10.93% B:0.21%) 35.16% (G:4.35% B:0.05%) 5. XG Roller++ 6/3 eq: +0.447 (-0.112) Player: Opponent: 64.44% (G:11.11% B:0.18%) 35.56% (G:4.99% B:0.08%)

32: Cannot Move

Pip=97-102

1. 3-ply Cannot Move eq: -0.650 Player: Opponent: 27.85% (G:2.81% B:0.04%) 72.15% (G:13.78% B:0.21%)

11: 13/11(2)

Pip=97-102

1. XG Roller++ 13/11(2) eq: +0.630 Player: Opponent: 71.26% (G:9.99% B:0.14%) 28.74% (G:1.63% B:0.02%) 2. XG Roller++ 13/12(2) 6/4 eq: +0.606 (-0.024) Player: Opponent: 70.31% (G:11.21% B:0.16%) 29.69% (G:2.41% B:0.03%) 3. XG Roller++ 13/10 11/10 eq: +0.589 (-0.040) Player: Opponent: 69.75% (G:13.48% B:0.25%) 30.25% (G:3.92% B:0.06%) 4. XG Roller++ 13/12(2) 11/9 eq: +0.517 (-0.113) Player: Opponent: 67.00% (G:13.51% B:0.28%) 33.00% (G:5.10% B:0.06%) 5. XG Roller++ 6/5(2) 6/4 eq: +0.507 (-0.122) Player: Opponent: 66.67% (G:9.93% B:0.14%) 33.33% (G:3.23% B:0.03%)

66: Cannot Move

Pip=93-102

1. 3-ply Cannot Move eq: -0.686 Player: Opponent: 26.05% (G:2.50% B:0.03%) 73.95% (G:11.64% B:0.15%)

55: 11/1(2)

Pip=93-102

1. 4-ply 11/1(2) eq: +1.015 Player: Opponent: 85.21% (G:20.55% B:0.10%) 14.79% (G:0.90% B:0.02%) 2. 4-ply 11/6(4) eq: +0.763 (-0.252) Player: Opponent: 75.94% (G:10.42% B:0.09%) 24.06% (G:0.63% B:0.02%) 3. 3-ply 11/6(2) 11/1 eq: +0.497 (-0.518) Player: Opponent: 65.90% (G:13.61% B:0.18%) 34.10% (G:3.09% B:0.02%) 4. 2-ply 11/1 6/1(2) eq: +0.212 (-0.803) Player: Opponent: 56.51% (G:7.48% B:0.04%) 43.49% (G:7.83% B:0.06%)

32: Cannot Move

Pip=73-102

1. 3-ply Cannot Move eq: -1.037 Player: Opponent: 13.77% (G:0.99% B:0.02%) 86.23% (G:24.26% B:0.09%)

No double

Pip=73-102

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 85.55% (G:22.93% B:0.06%) 85.50% (G:22.64% B:0.06%)   Opponent Winning Chances: 14.45% (G:0.74% B:0.02%) 14.50% (G:0.75% B:0.01%)   Cubeless Equities +0.948 +1.554 Cubeful Equities  No redouble: +1.019      Redouble/Take: +1.246 (+0.227)      Redouble/Pass: +1.000 (-0.019)   Best Cube action: Too good to redouble / Pass Percentage of wrong take needed to make the double decision right: 7.8%

31: 6/3 2/1

Pip=73-102

1. XG Roller++ 6/3 2/1 eq: +0.975 Player: Opponent: 83.43% (G:19.04% B:0.07%) 16.57% (G:1.05% B:0.02%) 2. XG Roller++ 6/2 eq: +0.967 (-0.008) Player: Opponent: 82.72% (G:18.87% B:0.07%) 17.28% (G:1.16% B:0.02%) 3. XG Roller++ 11/8 2/1 eq: +0.932 (-0.043) Player: Opponent: 82.29% (G:21.80% B:0.10%) 17.71% (G:1.11% B:0.02%) 4. XG Roller++ 11/10 6/3 eq: +0.889 (-0.087) Player: Opponent: 80.70% (G:20.33% B:0.08%) 19.30% (G:1.34% B:0.03%) 5. 4-ply 4/3 4/1 eq: +0.714 (-0.261) Player: Opponent: 75.64% (G:9.12% B:0.04%) 24.36% (G:1.89% B:0.04%)

51: Bar/20 2/1

Pip=69-102

1. XG Roller++ Bar/20 2/1 eq: -0.868 Player: Opponent: 19.17% (G:1.22% B:0.02%) 80.83% (G:13.69% B:0.06%) 2. XG Roller++ Bar/20 5/4 eq: -0.900 (-0.031) Player: Opponent: 18.88% (G:1.19% B:0.02%) 81.12% (G:14.52% B:0.09%) 3. XG Roller++ Bar/20 3/2 eq: -1.000 (-0.132) Player: Opponent: 15.50% (G:0.79% B:0.01%) 84.50% (G:15.34% B:0.09%) 4. XG Roller++ Bar/20 6/5 eq: -1.000 (-0.132) Player: Opponent: 14.67% (G:0.73% B:0.01%) 85.33% (G:16.32% B:0.10%) 5. 4-ply Bar/20 18/17 eq: -1.159 (-0.291) Player: Opponent: 13.75% (G:1.45% B:0.03%) 86.25% (G:40.89% B:1.10%)

No double

Pip=69-96

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 80.87% (G:13.69% B:0.05%) 81.06% (G:12.27% B:0.04%)   Opponent Winning Chances: 19.13% (G:1.19% B:0.03%) 18.94% (G:1.17% B:0.02%)   Cubeless Equities +0.750 +1.290 Cubeful Equities  No redouble: +0.854 (-0.030)  Redouble/Take: +0.883      Redouble/Pass: +1.000 (+0.117)   Best Cube action: Redouble / Take

21: 4/3 4/2

Pip=69-96

1. XG Roller++ 4/3 4/2 eq: +0.644 Player: Opponent: 73.44% (G:6.68% B:0.05%) 26.56% (G:2.01% B:0.05%) 2. XG Roller++ 4/1 eq: +0.573 (-0.071) Player: Opponent: 71.05% (G:6.19% B:0.05%) 28.95% (G:2.69% B:0.08%) 3. XG Roller++ 4/2 3/2 eq: +0.569 (-0.075) Player: Opponent: 70.84% (G:6.67% B:0.06%) 29.16% (G:2.83% B:0.08%) 4. XG Roller++ 3/2 3/1 eq: +0.563 (-0.081) Player: Opponent: 70.56% (G:5.92% B:0.05%) 29.44% (G:2.80% B:0.09%) 5. XG Roller++ 3/1 2/1 eq: +0.550 (-0.094) Player: Opponent: 70.14% (G:5.51% B:0.04%) 29.86% (G:2.92% B:0.09%)

61: 18/11

Pip=66-96

1. XG Roller++ 18/17 18/12 eq: -0.660 Player: Opponent: 25.95% (G:2.16% B:0.06%) 74.05% (G:7.34% B:0.06%) 2. XG Roller++ 18/11 eq: -0.682 (-0.021) Player: Opponent: 25.13% (G:1.92% B:0.04%) 74.87% (G:7.81% B:0.07%) 3. XG Roller++ 18/12 5/4 eq: -0.690 (-0.030) Player: Opponent: 25.13% (G:2.07% B:0.05%) 74.87% (G:9.59% B:0.10%) 4. XG Roller++ 18/12 2/1 eq: -0.804 (-0.144) Player: Opponent: 19.97% (G:1.28% B:0.02%) 80.03% (G:11.36% B:0.13%) 5. XG Roller++ 18/12 3/2 eq: -0.808 (-0.148) Player: Opponent: 20.06% (G:1.29% B:0.02%) 79.94% (G:12.37% B:0.14%)

33: 11/5*(2)

Pip=66-89

1. 3-ply 11/5*(2) eq: +1.065 Player: Opponent: 90.63% (G:19.53% B:0.20%) 9.37% (G:0.19% B:0.00%) 2. 3-ply 11/8(3) 6/3 eq: +0.497 (-0.568) Player: Opponent: 65.25% (G:0.91% B:0.01%) 34.75% (G:2.02% B:0.02%) 3. 3-ply 11/8 11/5* 5/2 eq: +0.465 (-0.600) Player: Opponent: 66.31% (G:10.41% B:0.08%) 33.69% (G:5.80% B:0.12%) 4. 3-ply 11/8(2) 11/5* eq: +0.446 (-0.619) Player: Opponent: 63.25% (G:8.22% B:0.07%) 36.75% (G:1.99% B:0.02%) 5. 2-ply 11/5* 6/3(2) eq: +0.161 (-0.904) Player: Opponent: 53.67% (G:4.35% B:0.02%) 46.33% (G:5.43% B:0.09%)

53: Cannot Move

Pip=54-94

1. 3-ply Cannot Move eq: -1.147 Player: Opponent: 7.43% (G:0.05% B:0.00%) 92.57% (G:25.65% B:0.24%)

No double

Pip=54-94

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 92.25% (G:25.82% B:0.17%) 93.21% (G:21.43% B:0.13%)   Opponent Winning Chances: 7.75% (G:0.01% B:0.00%) 6.79% (G:0.03% B:0.00%)   Cubeless Equities +1.123 +1.903 Cubeful Equities  No redouble: +1.152      Redouble/Take: +1.748 (+0.596)      Redouble/Pass: +1.000 (-0.152)   Best Cube action: Too good to redouble / Pass Percentage of wrong take needed to make the double decision right: 20.3%

41: 11/7* 7/6

Pip=54-94

1. XG Roller++ 11/7* 7/6 eq: +1.248 Player: Opponent: 91.49% (G:37.41% B:0.45%) 8.51% (G:0.01% B:0.00%) 2. XG Roller++ 11/7* 3/2 eq: +1.220 (-0.029) Player: Opponent: 91.53% (G:34.60% B:0.34%) 8.47% (G:0.01% B:0.00%) 3. XG Roller++ 11/7* 2/1 eq: +1.202 (-0.046) Player: Opponent: 91.42% (G:32.99% B:0.30%) 8.58% (G:0.01% B:0.00%) 4. 4-ply 11/6 eq: +1.044 (-0.205) Player: Opponent: 91.28% (G:14.97% B:0.09%) 8.72% (G:0.02% B:0.00%) 5. 3-ply 6/5 6/2 eq: +0.868 (-0.381) Player: Opponent: 83.27% (G:11.83% B:0.07%) 16.73% (G:0.33% B:0.00%)

43: Bar/21

Pip=49-101

1. 3-ply Bar/21 eq: -1.135 Player: Opponent: 9.58% (G:0.02% B:0.00%) 90.42% (G:28.98% B:0.28%)

No double

Pip=49-97

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 90.47% (G:28.62% B:0.22%) 90.84% (G:27.21% B:0.15%)   Opponent Winning Chances: 9.53% (G:0.01% B:0.00%) 9.16% (G:0.02% B:0.00%)   Cubeless Equities +1.118 +1.834 Cubeful Equities  No redouble: +1.134      Redouble/Take: +1.600 (+0.466)      Redouble/Pass: +1.000 (-0.134)   Best Cube action: Too good to redouble / Pass Percentage of wrong take needed to make the double decision right: 22.4%

63: 6/Off 3/Off

Pip=49-97

1. 3-ply 6/Off 3/Off eq: +1.247 Player: Opponent: 95.46% (G:30.74% B:0.26%) 4.54% (G:0.00% B:0.00%) 2. 3-ply 6/3 6/Off eq: +0.700 (-0.548) Player: Opponent: 73.03% (G:18.60% B:0.15%) 26.97% (G:0.00% B:0.00%) 3. 3-ply 6/Off 5/2 eq: +0.625 (-0.623) Player: Opponent: 70.04% (G:16.08% B:0.10%) 29.96% (G:0.00% B:0.00%)

54: Bar/21 11/6

Pip=40-97

1. XG Roller++ Bar/21 11/6 eq: -1.025 Player: Opponent: 4.66% (G:0.00% B:0.00%) 95.34% (G:8.23% B:0.02%) 2. XG Roller++ Bar/16 eq: -1.044 (-0.020) Player: Opponent: 4.61% (G:0.00% B:0.00%) 95.39% (G:10.07% B:0.02%) 3. XG Roller++ Bar/21 6/1 eq: -1.138 (-0.113) Player: Opponent: 3.26% (G:0.00% B:0.00%) 96.74% (G:17.59% B:0.05%)

Double/Pass

Pip=40-88

Analyzed in XG Roller++ No redouble Redouble/Take   Player Winning Chances: 95.30% (G:8.38% B:0.02%) 95.24% (G:8.11% B:0.02%)   Opponent Winning Chances: 4.70% (G:0.00% B:0.00%) 4.76% (G:0.00% B:0.00%)   Cubeless Equities +0.996 +1.915 Cubeful Equities  No redouble: +1.027      Redouble/Take: +1.799 (+0.772)  Redouble/Pass: +1.000 (-0.027)   Best Cube action: Too good to redouble / Pass Percentage of wrong take needed to make the double decision right: 3.4%

Wins 2pts.