If P(A) = 3|10, P(B) = 2|5 and P(A ∪ B) = 3|5, then P(B|A) + P(A|B) equals

Question

Philoid · Accepted Answer

We have,

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

[Additive Law of Probability]

Now, We know that the Property of Conditional Probability:

P(A|B) × P(B) = P(A ∩ B)

…(i)

P(B|A) × P(A) = P(B ∩ A)

…(ii)

Multiplying eq. (i) and (ii), we get

Hence, the Correct option is D