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