Question: A sample space consists of 9 elementary outcomes e1 , e2, . . . , e9 whose probabilities Suppose (a) Calculate P(A), P(B), and P(AB).

A sample space consists of 9 elementary outcomes e1 , e2, . . . , e9 whose probabilitiesP(e1) = P(ez) = .04 P(e3) = P(e4) == P(es) = .2

Suppose

(a) Calculate P(A), P(B), and P(AB).

(b) Using the addition law of probability, calculate P(A B).

(c) List the composition of the event A B and calculate P(A B) by adding the probabilities of the elementary outcomes.

(d) Calculate from P(B) and also by listing the composition of

P(e1) = P(ez) = .04 P(e3) = P(e4) == P(es) = .2 P(6) = P(e7) = 1 P(es) = P(eg) = .06

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