Urban voters The voters in a large city are 40%

white, 40% black, and 20% Hispanic. (Hispanics may be of any race in official statistics, but here we are speaking of political blocks.) A mayoral candidate anticipates attracting 30% of the white vote, 90% of the black vote, and 50% of the Hispanic vote. Suppose we select a voter at random.

(a) Draw a tree diagram to represent this situation.

(b) Find the probability that this voter votes for the mayoral candidate. Show your work.

(c) Given that the chosen voter plans to vote for the candidate, find the probability that the voter is black.

Show your work.