Suppose that A and B are events with probabilities p(A) = 2∕3 and p(B) = 1∕2. a) What is the largest p(A ∩ B) can be? What is the smallest it can be? Give examples to show that both extremes for p(A ∩ B) are possible. b) What is the largest p(A ∪ B) can be? What is the smallest it can be? Give examples to show that both extremes for p(A ∪ B) are possible.