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Alice and Bob play a game where two six-sided dice are rolled. Alice gets $1 if...

Alice and Bob play a game where two six-sided dice are rolled. Alice gets $1 if the sum of the numbers of the two dice is a prime number. (The number is not prime.) Bob gets $3 if the numbers on the two dice are the same (e.g. 1-1, 2-2, …). Who makes more money on average?

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