In a carnival game, you roll 2 dice. If the sum is 5, you receive a $5 payoff. If the sum is 11, you receive a $9 payoff. Otherwise, you receive no payoff. What is the expected payoff? (Round your answer to two decimal places.)

Question

Mathematics

Mariela Clarke

9 August, 09:45

In a carnival game, you roll 2 dice. If the sum is 5, you receive a $5 payoff. If the sum is 11, you receive a $9 payoff. Otherwise, you receive no payoff. What is the expected payoff? (Round your answer to two decimal places.)

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Answers (1)

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Katie Griffith · Answer 1

Sum is 5 : (1,4), (2,3), (3,2), (4,1)

So the probability for 5 is 4/36 = 1/9

Sum is 9: (3,6), (4,5), (5,4), (6,3)

So probability for 9 is also 1/9

So expected value is 1/9 * (5+9) = 14/9 = 1.56