You are playing a game where you roll a die and win 0 jelly beans for rolling a 1,2, or 3; 1 jelly bean for rolling a 4 or 5 and 3 jelly beans for a 6. you must pay one jelly bean each roll.
a. What is the expected number of jelly beans you win each round (including the one you pay)?
b. What is the variance of the number of jelly beans you win?