Consider events A, B, C and D. Assume A and B are independent as are B and C, while A and C are disjoint. Further, let D = (A U C) and assume Pr(A) = Pr(C) = 0.3. a) Find Pr(D). b) Is B independent of D? Justify your answer. [HINT: Start by noting that clearly A, C and D form a partition and apply the Law of Total Probability to Pr(B).]