Greg is playing a game of chance in which he rolls a number cube with...

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Greg is playing a game of chance in which he 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 Greg rolls the number cube once He wins 1 if a 1 is rolled 2 if a 2 is rolled and 3 if a 3 is rolled He loses 2 50 if a 4 5 or 6 is roll a Find the expected value of playing the game dollars b What can Greg expect in the long run after playing the game many times Greg can expect to gain money He can expect to win Greg can expect to lose He can expect to lose dollars per roll money dollars per roll Greg can expect to break even neither gain nor lose money X

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