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Amanda is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered

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Amanda is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Amanda spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $11 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. Idollars (b) What can Amanda expect in the long run, after playing the game many times? Amanda can expect to gain money. She can expect to win | dollars per spin. Amanda can expect to lose money. She can expect to lose ] dollars per spin. Amanda can expect to break even (neither gain nor lose money). X

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