Suppose a voter poll is taken in three states. Of the total population of the three states, 45% live in state A, 20% live in state B, and 35% live in state C. In state A, 40% of voters support the liberal candidate, in state B, 30% of the voters support the liberal candidate, and in state C, 60% of the voters support the liberal candidate. Let A represents the event that voter is from state A, B represents the event that voter is from state B and C represents the event that voter is from state C. Let L represents the event that a voter supports the liberal candidate.

a) Find the probability that a randomly selected voter does not support the liberal candidate and lives in state A.

b) Find the probability that a randomly selected voter supports the liberal candidate.

c) Given that a randomly selected voter supports the liberal candidate, find the probability that the selected voter is from state B.