MathDB

99

Part of 1991 Arnold's Trivium

Problems(1)

Problem 99

Source:

7/1/2010
One player conceals a 1010 or 2020 copeck coin, and the other guesses its value. If he is right he gets the coin, if wrong he pays 1515 copecks. Is this a fair game? What are the optimal mixed strategies for both players?
probability