consider events a b c and d assume a and b are independent as are b an
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).]
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