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E1, E2 partition S: P(E1)=0.6, P(A|E1)=0.2, P(E2)=0.4, P(A|E2)=0.5. Find P(A).

A0.7
B0.26
C0.32
D0.40
Answer & Solution
Correct answer: C. 0.32
Total probability gives P(A) = 0.6 x 0.2 + 0.4 x 0.5 = 0.12 + 0.20 = 0.32.
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