You are playing a game where you roll a die and win 0 jellybeans for rolling a 1, 2, or 3; 1 jellybean for rolling a 4, or 5; and 3 jellybeans for rolling a 6. Each time you play the game, you must pay 1 jellybean.
(a) What is the expected number of jellybeans you win each round (including the one you pay)?
(b) What is the variance of the number of jellybeans that you win?
(c) If you like jellybeans, is this a game you want to play?