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A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice.

A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 2, 8, or 12, you win $4. If the sum is 6, 9, or 10, you win $2. If the sum is any other value (3, 4, 5, 7, or 11), you lose $3. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X

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