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

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Debra 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: Debra rolls the number cube once. She wins $1 if a1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. She loses $1 if a 4, 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 Debra expect in the long run, after playing the game many times? O Debra can expect to gain money. She can expect to win dollars per roll. O Debra can expect to lose money. She can expect to lose dollars per roll. O Debra can expect to break even (neither gain nor lose money). Debra 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: Debra rolls the number cube once. She wins $1 if a1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. She loses $1 if a 4, 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 Debra expect in the long run, after playing the game many times? O Debra can expect to gain money. She can expect to win dollars per roll. O Debra can expect to lose money. She can expect to lose dollars per roll. O Debra can expect to break even (neither gain nor lose money).