2.99
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A sample space consists of 9 elementary outcomes e1, e2 , … , e9 whose probabilities are

Suppose

(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.

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