If for any two events A and B, P(A)=4/5 and P(An B) = to, then P(B/A) is equal to

Class 12th Mathematics, Question Paper 2023:If for any two events A and B, P(A)=4/5 and P(An B) = to, then P(B/A) is equal to

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.