Q12 of 29 Page 1

If A and B are two events such that P (A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6, then find P (A|B).

Given:


P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6


We have to find P(A|B)



We need to find P(A∩B)


Now use the given information




⇒ P(B∩A) = 0.6 × 0.4


⇒ P(B∩A) = 0.24


P(B∩A) is same as P(A∩B)


Substitute value of P(B∩A) in (i)



⇒ P(A|B) = 0.3


Hence P(A|B) = 0.3


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