Question: A sample space consists of 9 elementary outcomes e1, e2, . . . , e9 whose probabilities are P{e1) = P(e2) = .04 P(e3) =
P{e1) = P(e2) = .04 P(e3) = P(eA) = P(e5) = .2 P(e6) = P(e7) = A P(es) = P(e9) = .06
Suppose
A = {el, e5, e8}, B = {e2, e5, e8, e9}.
(a) Calculate P(A), P(B), and P(AB).
(b) Using the addition law of probability, calculate P(A U B).
(c) List the composition of the event A U B and calculate P(A U B ) by adding the probabilities of the elementary outcomes.
P(B)
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