Please answer each question below regarding expected value. You must show all work to receive credit. Papers submitted with no work attached will earn a grade of 0. This is an independent assignment and should be completed on your own.

1. A dice game involves rolling two dice. If the sum of the two numbers rolled is 2, 3, 4, 10, 11, or 12, you win $5. If the sum is 5, 6, 7, 8, or 9, you lose $5. What is the expected value for 1 game?