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5 6 V 8 9 Salma is playing a game of chance in which she rolls a number cube with sides numbered from 1 to

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5 6 V 8 9 Salma is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Salma rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $5 if a 5 or 6 is rolled. (a) Find the expected value of playing the game. dollars (b) What can Salma expect in the long run, after playing the game many times? O Salma can expect to gain money. She can expect to win _ dollars per roll. O Salma can expect to lose money. . She can expect to lose _ dollars per roll. Salma can expect to break even (neither gain nor lose money). X

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