(a) Let for independent events A and B,

P(A B) = 13/18, P(A B) = 1/9. Find P(A), P(B), and P (Ac|Bc ), provided

P(A) > P(B).

(b) Cards are dealt from a well shufflfflffled standard deck until the first King appears.

What is the probability that you have to deal exactly 2 cards before the fifirst King

shows up, given you know in advance that at most 4 deals are required before the

fifirst King shows up? Justify your answer.