SOLUTION: Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.18. Find the probabilities below. (a) P(A|B) (b) P(B|A)

Algebra ->  Permutations -> SOLUTION: Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.18. Find the probabilities below. (a) P(A|B) (b) P(B|A)       Log On


   

Question 743606: Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.18. Find the probabilities below.
(a) P(A|B)
(b) P(B|A)
Answer by stanbon(75887) About Me  (Show Source):
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Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.18. Find the probabilities below.
(a) P(A|B) = P(A and B)/P(B) = 0.18/0.4 = 0.45
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(b) P(B|A) = P(A and B)/P(A) = 0.18/0.6 = 0.3
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cheers,
Stan H.