Debra is playing a game of chance in which she rolls a number cube with sides numbered
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Question:
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 a 1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. She loses $2 if a 4 ,5 ,6 or is rolled. (a) Find the expected value of playing the game. (b) What can Debra expect in the long run, after playing the game many times? Debra can expect to gain money. Debra can expect to lose money. Debra can expect to break even (neither gain nor lose money).
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