5. (10 points) Suppose you play the following game. You roll 2 fair dice. If exactly one of the dice is a 5 you win $9.
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5. (10 points) Suppose you play the following game. You roll 2 fair dice. If exactly one of the dice is a 5 you win $9.
5. (10 points) Suppose you play the following game. You roll 2 fair dice. If exactly one of the dice is a 5 you win $9. If both dice are a 5 you win $36. If it costs $5 to play the game, what is the expected payout for the game?
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