In a certain city, 46% of the people (adults) classify themselves as independent, 30% classify themselves as liberals and 24% as conservatives. In a recent election, 35% of the independent people voted, 62% of the liberals voted, and 58% of the conservatives voted.
(a) What is the probability that a random person voted in the election?
(b) Given that a person voted in the election, what is the probability that he/she is a liberal?
Please show work.