Jim 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: Jim rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. He loses $6.50 if a 5or 6 is rolled.

(a) Find the expected value of playing the game.

(b) What can Jim expect in the long run, after playing the game many times?

Jim can expect to gain money.

Jim can expect to lose money.

Jim can expect to break even (neither gain nor lose money).