The payoffs for the slot machine shown in the figure are in the following table. First one cherry   2 coins First two cherries   6 coins First two wheels are cherries   and the third wheel a bar   11 coins Three cherries   11 coins Three oranges   14 coins Three plums   14 coins Three bells   24 coins Three bars (jackpot)   50 coins What is the mathematical expectation for playing the game with the coin being a quarter dollar? Assume the three wheels are independent. (Assume you are playing one coin. Round your answer to two decimal places.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 15E: A Game of Chance A box contains 100 envelopes. Ten envelopes contain $10 each, ten contain $5 each,...
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The payoffs for the slot machine shown in the figure are in the following table.

First one cherry   2 coins
First two cherries   6 coins
First two wheels are cherries
  and the third wheel a bar
  11 coins
Three cherries   11 coins
Three oranges   14 coins
Three plums   14 coins
Three bells   24 coins
Three bars (jackpot)   50 coins

What is the mathematical expectation for playing the game with the coin being a quarter dollar? Assume the three wheels are independent. (Assume you are playing one coin. Round your answer to two decimal places.)

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