Reuben 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: Reuben 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 $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