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Rollout - if White has a closed board

Posted By: Daniel Murphy
Date: Friday, 7 March 2008, at 9:33 p.m.

In Response To: Rollout (Stick)

In Stick's rollout, White wins 22.97% (cubeless) after doubling. That's less than I had estimated. If we give White a closed board (but still no free spare checker to play), White wins about 1% more often (cubeless) after double/take:

The score (after 0 games) is: White Rabbit 0, Blue Cheese 0 (match to 5 points)

Move number 5: Blue Cheese on roll, cube decision?

White Rabbit86


2X3X2X2X2X2X ' ' ' ' ' '

1O3O2O2X3O2O2O ' '2O ' '

Blue Cheese74

Position ID: u20DAAbd3MYAAA Match ID: cAmgAAAAAAAA

• Blue Cheese doubles

Cube decision
Rollout cubeless equity +0.526(Money: +0.524)
Cubeful equities:
1.Double, take +0.883
2.Double, pass +1.000 +0.117
3.No double +0.824 -0.060
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.7570.0170.000-0.2430.0080.000 +0.526 +0.824
Standard error0.0010.0010.000-0.0010.0010.000 0.003 0.008
Player White Rabbit owns 2-cube0.7600.0170.000-0.2400.0070.000 +1.034 +0.883
Standard error0.0010.0010.000-0.0010.0010.000 0.006 0.009
Full cubeful rollout with var.redn.
281 games, Mersenne Twister dice gen. with seed 1056701747 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.12
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]


Annotation

Cube analysis
2-ply cubeless equity +0.515 (Money: +0.516)
0.752 0.023 0.000 - 0.248 0.010 0.000
Cubeful equities:
1. Double, take +0.818
2. Double, pass +1.000 ( +0.182)
3. No double +0.780 ( -0.037)
Proper cube action: Double, take

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