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

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Juan is playing a game in which he 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: Juan spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $6.50 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Juan expect in the long run, after playing the game many times? O Juan can expect to gain money. He can expect to win | dollars per spin. Q Juan can expect to lose money. He can expect to lose | dollars per spin. OrJuan can expect to break even (neither gain nor lose money). X

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