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

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

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