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 rol (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 dollars per roll. Greg can expect to lose money. He can expect to lose dollars per roll. Greg can expect to break even (neither gain nor lose money).