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End Game Double - Beaver - Take Action?

Posted By: Daniel Murphy
Date: Friday, 28 June 2013, at 7:03 a.m.

In Response To: End Game Double - Beaver - Take Action? (Rick Janowski)

Having doubled to 2 in a 6-roll vs. 5-roll position, should Blue accept a beaver to 4?

Yes, he should. Two ways to see this:

(1) After accepting the beaver, Blue will then take a turn, leaving White on roll. Then, 5/6 of the time White will have a 5-roll vs. 5-roll position holding the cube, which is not quite a redouble -- Blue wins 28% cubeless. But 1/6 of the time, Blue will be better than that, since White will have 10 checkers to Blue's 7.

(2) In the original 6-roll vs. 5-roll position, Blue wins a lot of games, possibly more than many would guess: almost 35%.


Doubling when you're a roll behind
Side on rollOpponentCubeless GWCAccept a beaver?
2-roll1-roll16.7%No (Blue only wins 16.7% cubeful)
3-roll2-roll25.5%No (Blue only wins 16.7% cubeful)
4-roll3-roll30.1%No (Blue only wins 16.7% cubeful)
5-roll4-roll32.9%Yes
6-roll5-roll34.7%Yes
7-roll6-roll36.1%Yes
8-roll7-roll37.1%Yes

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