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Big skill difference, cube adjustment? - ROLLOUTS and questions for NBM

Posted By: Carlo Melzi
Date: Wednesday, 21 November 2012, at 9:40 a.m.

In Response To: Big skill difference, cube adjustment? (Carlo Melzi)





White is Player 2

score: 7
pip: 75
15 point match
pip: 60
score: 8

Blue is Player 1
XGID=-CCACaC--B--------acbbbbb-:1:1:1:00:8:7:0:15:10
Blue on roll, cube action?

Analyzed in Rollout No redouble Redouble/Take
Player Winning Chances: 74,21% (G:0,45% B:0,00%) 74,48% (G:0,48% B:0,01%)
Opponent Winning Chances: 25,79% (G:0,85% B:0,02%) 25,52% (G:1,54% B:0,05%)
Cubeless Equities +0,479 +0,954
Cubeful Equities
No redouble:+0,688 (-0,136)±0,004 (+0,684..+0,693)
Redouble/Take:+0,825±0,005 (+0,819..+0,830)
Redouble/Pass:+1,000 (+0,175)
Best Cube action: Redouble / Take
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 60593785
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 2 minutes 46 seconds

eXtreme Gammon Version: 2.02, MET: Kazaross XG2





White is Player 2

score: 7
pip: 80
15 point match
pip: 60
score: 8

Blue is Player 1
XGID=-CCACaC--B---a-----cbbbbb-:1:1:1:00:8:7:0:15:10
Blue on roll, cube action?

Analyzed in Rollout No redouble Redouble/Take
Player Winning Chances: 76,73% (G:1,01% B:0,01%) 77,22% (G:0,90% B:0,02%)
Opponent Winning Chances: 23,27% (G:1,01% B:0,02%) 22,78% (G:1,27% B:0,05%)
Cubeless Equities +0,533 +1,083
Cubeful Equities
No redouble:+0,747 (-0,244)±0,004 (+0,743..+0,751)
Redouble/Take:+0,990±0,006 (+0,985..+0,996)
Redouble/Pass:+1,000 (+0,010)
Best Cube action: Redouble / Take
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 60593785
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 2 minutes 58 seconds

eXtreme Gammon Version: 2.02, MET: Kazaross XG2





White is Player 2

score: 7
pip: 81
15 point match
pip: 60
score: 8

Blue is Player 1
XGID=-CCACaC--B--a------cbbbbb-:1:1:1:00:8:7:0:15:10
Blue on roll, cube action?

Analyzed in Rollout No redouble Redouble/Take
Player Winning Chances: 77,07% (G:1,19% B:0,01%) 77,55% (G:1,00% B:0,01%)
Opponent Winning Chances: 22,93% (G:0,96% B:0,02%) 22,45% (G:1,07% B:0,04%)
Cubeless Equities +0,543 +1,103
Cubeful Equities
No redouble:+0,753 (-0,247)±0,004 (+0,750..+0,757)
Redouble/Take:+1,013 (+0,013)±0,006 (+1,007..+1,019)
Redouble/Pass:+1,000
Best Cube action: Redouble / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 60593785
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 3 minutes 31 seconds

eXtreme Gammon Version: 2.02, MET: Kazaross XG2

Nigel, I wasn't questioning your approach, I just couldn't follow it. See below:

NBM: A 1600-1930 PR diff equates to 330/1930 or 17.2% of the Trailers WC's.

You estimate a 10 PR difference as a 330 Elo point difference, right? Ok, but what does 17.2% represent? What do I do with that number?

NBM: I estimated White wins the race/hits a shot approx 25% of the time.

Very good, as shown by the rollouts.

NBM: 25% * 17.2% = 4.3%. In E-Pips terms, blue needs a mimimum of 6 pips to bear in and White needs 15 pips. Therefore, 15-6 * 0.21 + 2 * 0.5 = 2.8%. If the checker on 18 were on the 12pt, then, 20-6 * 0.21 + 2 * 0.5 = 3.9. On the midpoint: 21-6 * 0.21 + 3 * 0.5 = 4.6.

Again, I cannot follow your reasoning.

NBM: On the 12 1/2pt looks about right.

This is exactly the borderline point for a take vs pass between equally skilled players. Are you saying that you consider doubling correct for blue as soon as he has reached pass territory?

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