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Answer to followup quiz (rollout)

Posted By: Timothy Chow
Date: Thursday, 3 September 2009, at 10:13 p.m.

In Response To: Rollout, plus a followup quiz! (Timothy Chow)

The answer, as Matt correctly said, is #2. The important lesson I learned is that even the 11-pt is a critically important asset when defending against a blitz. This is not something I picked up from any of the books I've read.

Money Game
Blue on roll. Cube action?
Chow164

Motif146
Position Id: 4HPMAVCM28EBIg
Match Id: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity +0.511
Cubeful equities:
1.Double, take +0.773
2.Double, pass +1.000 +0.227
3.No double +0.734 -0.039
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.6600.2580.009-0.3400.0730.003 +0.511 +0.734
Standard error0.0020.0020.001-0.0020.0010.000 0.004 0.012
Player gnubg owns 2-cube0.6620.2660.010-0.3380.0730.003 +1.049 +0.773
Standard error0.0020.0020.001-0.0020.0010.000 0.010 0.014
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 868207275 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Money Game
Blue on roll. Cube action?
Chow168

Motif143
Position Id: 4HPwAVAa18QBIg
Match Id: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity +0.572
Cubeful equities:
1.Double, take +0.972
2.Double, pass +1.000 +0.028
3.No double +0.756 -0.216
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.6590.3180.014-0.3410.0750.003 +0.572 +0.756
Standard error0.0010.0020.001-0.0010.0010.000 0.004 0.010
Player gnubg owns 2-cube0.6690.3510.011-0.3310.0750.003 +1.245 +0.972
Standard error0.0020.0030.001-0.0020.0010.000 0.009 0.013
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 868144524 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Money Game
Blue on roll. Cube action?
Chow142

Motif143
Position Id: wueYA0Aa18QBIg
Match Id: cAkAAAAAAAAA

Cube decision
Rollout cubeless equity +0.501
Cubeful equities:
1.Double, take +0.772
2.Double, pass +1.000 +0.228
3.No double +0.678 -0.094
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.6320.3210.009-0.3680.0870.005 +0.501 +0.678
Standard error0.0010.0020.000-0.0010.0010.000 0.004 0.009
Player gnubg owns 2-cube0.6390.3410.009-0.3610.0880.006 +1.069 +0.772
Standard error0.0020.0020.001-0.0020.0010.000 0.009 0.015
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 867930494 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

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