These are the options for the Question: If for any two events A and B, P(A)=4/5 and P(An B) = to, then P(B/A) is equal to
(a) 1/10
(b) 1/8
(c) 7/8
(d) 17/20
The correct answer is –
By definition of conditional probability, we have:
P(B/A) = P(A and B) / P(A)
We are given that P(A) = 4/5 and P(A and B) = 2/5. Substituting these values, we get:
P(B/A) = (2/5) / (4/5)
= (2/5) * (5/4)
= 1/2
Therefore, the answer is (none of the options provided in the question is correct) 1/2.
