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Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8.

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Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. This game is this: Teresa tosses the dart once. She wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5. She loses $9 if the dart lands in slices 6, 7, or 8. (a) Find the gpected value of playing the game. III dollars (b) What can Teresa expect in the long run, after playing the game many times? 0 Teresa can expect to gain money. She can expect to win I] dollars per toss. 0 Teresa can expect to lose money. She can expect to lose I] dollars per toss. 0 Teresa can expect to break even (neither gain nor lose money)

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