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Odds for Master vs. Fish?

Posted By: Timothy Chow
Date: Thursday, 9 February 2012, at 3:02 a.m.

In Response To: Odds for Master vs. Fish? (Bob Koca)

You're right, I'm missing something.

Say the master and the fish play 1000 matches. If the master is a 65-35 favorite, won't he expect to win 650 of the matches, whether they bet on who wins the match or who wins the variance-reduced match?

Variance reduction is unbiased so it shouldn't affect the expectation, right?

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