Question

Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.5, and P(A ∩ B) = 0.15. Find the probabilities below.

(a) P(A|B)





(b) P(B|A)

Answer 1

\[P(A|B)={P(A\cap B)\over P(A)}\]

Answer 2

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Answer 3

the definition for \[P(B|A)\] is symmetric

Answer 4

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