You are given that A and B are two events such that P(B)= 3|5, P(A | B) = 1|2 and P(A ∪ B) = 4|5, then P(A) equals

Question

Philoid · Accepted Answer

We have,

Now, We know that

P(A|B) × P(B) = P(A ∩ B)

[Property of conditional Probability]

Now,

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

[Additive Law of Probability]

Hence, the correct option is C