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Charmaine is playing a game of chance in which she rolls a number cube with...

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Charmaine 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 Charmaine rolls the number cube once She wins 1 if ai is rolled 2 if a 2 is rolled 3 if a 3 is rolled and 4 if a 4 is rolled She loses 2 75 if a 5 or 6 is rolled If necessary consult a list of formulas a Find the expected value of playing the game dollars b What can Charmaine expect in the long run after playing the game many times O Charmaine can expect to gain money She can expect to win dollars per roll O Charmaine can expect to She can expect to lose lose money dollars per roll O Charmaine can expect to break even neither gain nor lose money

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