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

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Lisa 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 Lisa tosses the dart once She wins 1 if the dart lands in slice 1 2 if the dart lands in slice 2 5 if the dart lands in slice 3 and 8 if the dart lands in slice 4 She loses 4 if the dart lands in slices 5 6 7 or 8 a Find the expected value of playing the game dollars b What can Lisa expect in the long run after playing the game many times O Lisa can expect to gain money She can expect to win dollars per toss Lisa can expect to lose money She can expect to lose dollars per toss Lisa can expect to break even neither gain nor lose money

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