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A backgammon problem (for a change)

Posted By: Bob Koca
Date: Monday, 20 October 2008, at 4:47 p.m.

In Response To: A backgammon problem (for a change) (Coolrey)

"It should be noted that while 7/5 "wastes" a pip, if the deuce were an ace, I believe strongly that the right play would be 13/12, and not 7/6... 6s are going to be a precious commodity and if you end up playing one from 13/7, then you might enter that guy with a 5 and use 11 pips up from the midpoint, when only 7 are required"

If the homeboard was closed would you still prefer 13/12 over 7/6 with an ace? I can prove 7/6 is at least as good. But you don't believe in mathematical proofs do you?

What the actual result is: If running off the gammon is the only consideration, and there is no contact, and you have a single number to play, then it is correct to play to the 6 point if possible. Extremely similar to Magriel's theorem about using an ace to bear off but this time the proof actually works.

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