Expected value (50 points) game: roll two dice. win a prize based on the sum of the dice. cost of playing the game: $1 prizes: win $10 if your sum is odd. win $5 if you roll a sum of 4 or 8. win $50 if you roll a sum of 2 or 12. explain how to find the expected value of playing this game. what is the expected value of playing this game? show your work. (30 points)