4.98 Conditional probabilities. Suppose that P(A) = 0.4, P(B) = 0.3, and P(B | A) = 0.4.

1. (a) Find the probability that both A and B occur.

2. (b) Use a Venn diagram to explain your calculation.

3. (c) What is the probability of the event that B occurs and A does not?