OpenStudy (anonymous):

In a certain dice game, three fair dice are rolled and the total on all three dice is counted. Let the random variable x be the total count on all three dice. You pay one dollar to roll the dice. If you roll a 16 or greater, you will win $10. If you roll a 6 or lower, you win $5. If you roll anything else, you lose your money. What is the expected value of this game?