A spinning device has 5 numbers, 1, 2, 3, 4, and 5, each as likely to turn

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A spinning device has 5 numbers, 1, 2, 3, 4, and 5, each as likely to turn up as the other. A person pays $3 and then receives back the dollar amount corresponding to the number turning up on a single spin. What is the expected value of the game? Is the game fair?

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