Question: Reven and Coddy play a game in which they each simultaneously present a single hand with one, two, or three fingers extended. Reven wins if

Reven and Coddy play a game in which they each simultaneously present a single hand with one, two, or three fingers extended. Reven wins if the total number of fingers extended is even. Otherwise, Coddy wins. The loser pays the winner the number of dollars equal to the total number of fingers extended.
(a) What is the payoff matrix for the game?
(b) Determine the expected value of the game if Reven uses the strategy [.4 .5 .1] and Coddy uses the strategy

.3 .2 .5

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