You roll a pair of dice.If you get a sum greater than 10 you win $60.If you get a double you win $20.If you get a double and a sum greater than 10 you win $80.Otherwise you win nothing.You pay $5 to play.Find the expected amount you win at this game.
A)$8.33
B)$3.33
C)$5.00
D)$5.56
E)$3.89

Question

Quizplus · Accepted Answer

The expected value is calculated by considering all possible outcomes: (1) sum greater than 10 (3 outcomes: (5,6), (6,5), (6,6)), (2) doubles (6 outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)), and (3) double and sum greater than 10 (1 outcome: (6,6)). Calculate the probability and winnings for each, subtract the cost to play, and sum them to find the expected value.

You Roll a Pair of Dice