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The Curious Case of Benjamin's Button -- SOLUTIONS

Posted By: Bob Koca
Date: Thursday, 23 November 2017, at 2:30 p.m.

In Response To: The Curious Case of Benjamin's Button -- SOLUTIONS (Nack Ballard)

I thought bull off was a commonly known term. Danny Kleinman coined it for a bearing off play where the best play is one that does not minimize the expected remaining rolls to bear off. An example is suppose you have 3 checkers on the two point and one on the 3 point with an ace to play. Playing 2-1 minimizes the expected rolls left but playing 3-2 makes being off in one more likely and may be the better play, for example if opponent is surely off the gammon by his 2nd shake. The opposite situation could also occur where a play goes for less variability at the expense of a higher expected number of rolls remaining. Two plays could thus give identical distributions of rolls to bear off but not have identical equity since one might better lead to that possibility. I have looked more at the position and it does not seem to be the case here though.

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