1. Stuart stops at Dunkin Donuts to pick up a dozen (12) donuts for his study group this afternoon. His study group consists of five (5) students including himself. Stuart purchases four (4) boston creams, three (3) maple glazed, four (4) powdered, and one (1) jelly filled donut. While selecting donuts assume each individual donut is equally likely to be selected by each study group member and once a donut is selected it cannot be returned to the box. a) If each person in Stuart's study group (5 people total) selects a donut from the box, what is the probability that all of the maple glazed and jelly filled donuts will be selected? (4 pts) Name: __________________________________ b) If Stuart selects a donut from the box after his four other study group members select their donuts, what is the probability Stuart will select the jelly filled donut? (2 pts) c) If Stuart selects a donut from the box before his four other study group members select their donuts, what is the probability Stuart will select the jelly filled donut? (2 pts) d) If each person in Stuart's study group selects a donut from the box, what is the probability that the first two powdered donuts will be selected, then one jelly filled donut will be selected, and then the other two powdered donuts will be selected