2. Frank, Sofia, Eldridge, and Jake are the four qualifiers for a charity raffle with two $500 prizes. One of their names will be drawn for the first prize then replaced, at which point the second prize winner will be drawn. Draw a tree diagram to determine the sample space and find the probability that (a) One person wins both prizes. (b) There are two different winners. (c) Sofia wins at least one prize. (d) Frank wins both prizes. (e) The two winners are Jake and Eldridge