Suppose a voter poll is taken in three states. In state A 50% of
voters support the liberal candidate. In state B 60% of voters
support the liberal candidate. In state C, 35% of voters support
the liberal candidate. Of the total population of the candidates,
40% live in state A, 25% live in state B, and 35% live in state C.
Given that a voter supports the liberal candidate, what is the
probability that she lives in state B?