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, 7, or 12, you win $6. If the sum is 3, 5, or 9, you win $2. If the sum is any other value (4, 6, 8, 10, 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.

If the sum is 2, 7, or 12, you win $6.
If the sum is 3, 5, or 9, you win $2.
If the sum is any other value (4, 6, 8, 10, 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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