Problem 4. (3 points) Suppose you have two events A and B in some sample space S. We know P(A)=0.36, P(B) = 0.71, and P(B|A)=0.06. Use this information to answer the following questions. a. What is the probability of B and not A occurring? Answer: Round to at least FOUR digits after the decimal if necessary. b. What is the probability of neither A nor B occurring? Answer: Round to at least FOUR digits after the decimal if necessary. c. What is the probability of A occurring if A or B occurs? (Hint: the event An (AUB) is equal to the event A.) Answer: Round to at least FOUR digits after the decimal if necessary.