1) Let A and B be independent events with P(A)=0.7 and P(B)= 0.2. Compute a) P(A and B), b) P(AUB) and c) P(A'UB').
2) Let P(A) =0.3 and P(B) = 0.6
a) Find P(AUB) if A and B are independent
b) Find P(A|B) when A and B are mutually exclusive
The solution contains the determination of various joint probabilities using marginal probabilities.