Ralph puts a coin in one of his hands, and Carl tries to guess which hand holds

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Ralph puts a coin in one of his hands, and Carl tries to guess which hand holds the coin. If Carl guesses incorrectly, he must pay Ralph $2. If Carl guesses correctly, then Ralph must pay him $3 if the coin was in the left hand and $1 if it was in the right.
(a) What is the payoff matrix for the game?
(b) What is the optimal strategy for Ralph?
(c) What is the optimal strategy for Carl?
(d) Whom does this game favor?
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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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