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Suppose you play a game where you roll two dice. If you roll double 1's, 2's, 3's, 4's or 5's you win $8. If you

Suppose you play a game where you roll two dice. If you roll double 1's, 2's, 3's, 4's or 5's you win $8. If you roll two 6's, you win $30. Otherwise, you lose $3.

a. What is the probability distribution for the random variable X of what you would win in a single play?

b. What would you expect to win on average for each play?

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