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Average number of rolls to enter x checkers from the bar

Posted By: Havard Raddum
Date: Monday, 14 March 2011, at 8:15 a.m.

In Response To: Average number of rolls to enter x checkers from the bar (Michael Depreli)

I understood Bob's line of thinking, and did the exercise for entering against a five point board. The number of rolls needed to enter x checkers against a five point board are as follows (using 4 decimal places instead of working with increasingly complex fractions):

x=1 -> NR = 3.2727 (which you knew already)

x=2 -> NR = 6.2479

x=3 -> NR = 9.2500

x=4 -> NR = 12.2495

x=5 -> NR = 15.2493

Seems like the number of rolls increases with 3 for every extra checker.

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