5. We have two events, A and B. P(A) = 1/2 and P(B) = 1/3. Hint: Draw Venn diagrams to help you think about the following possibilities: 1) if A and B are mutually exclusive, 2) if all the outcomes in B are also in A, 3) if there's partial but not complete overlap between events in A and events in B.

(a) What is the smallest P(A and B) can be? _________

(b) What is the largest P(A and B) can be? _________

(c) What is the smallest P(A or B) can be? _________

(d) What is the largest P(A or B) can be? _________