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Simple Probability Problem

Posted By: Jake Jacobs
Date: Monday, 24 December 2012, at 2:08 a.m.

This comes to me courtesy of Jim Painter. He showed it to several players, and I showed it to Sam Pottle, so if you are among those with pre-exposure, give the newbies a crack at it.

Suppose two players (with time on their hands) have each played a nearly infinite series of matches against all other backgammon players. Player X wins 75% of his matches against the field. Player Y wins only 25% of his matches against the field. If Player X plays Player Y how big a favorite is he?

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