Suppose that PAB 077 PA 041 and PB 021 Determine PBA Roun

Suppose that P(A|B) = 0.77, P{A) = 0.41 and P(B) = 0.21. Determine P(B|A). Round your answer to three decimal places (e.g. 98.765). 0.39 the absolute tolerance is +/-0.002

Solution

As

P(B|A) = P(A n B) / P(A)

and

P(A n B) = P(A|B) P(B) = 0.77*0.21 = 0.1617

Then,

P(B|A) = 0.1617/0.41 = 0.394390244 = 0.394 [answer]