Suppose that A and B are events with probabilities p(A) = 3/4 and p(B) = 1/3. a)

Question:

Suppose that A and B are events with probabilities p(A) = 3/4 and p(B) = 1/3.
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.