4. (4 pts.) A gambling game involves rolling a (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) pair of dice and has the following rules. (1,2) (2,2) (3,2) (4,2) (5,2) (6,2) If you roll a sum of 7, you win $2. (1,3) (2,3) (3,3) (4,3) (5,3) (6,3) If you roll a sum of 2, you win $5. . If you roll a sum of 12, you win $5. (1,4) (2,4) (3,4) (4,4) (5,4) (6,4) If you roll any other sum, you lose $1. (1,5) (2,5) (3,5) (4,5) (5,5) (6,5) What is the expected value of this game? (1,6) (2,6) (3,6) (4,6) (5,6) (6,6)