Question

If P(A/B) > P(A), then which of the following is correct:-

Options

• P (B/A) < P(B)

• P(A ∩ B) < P(A) P(B)

• P(B/A) > P(B)

• P(B/A) = P(B)

Answer 1

P(B/A) > P(B)

Explanation:

A(A/B) > P(A)  `(P(A ∩ B))/(P(B))` > P(A)

∴ P(A B) > P(A) . P(B) or > `(P(A ∩ B))/(P(A))` P(B)

⇒ P(B/A) > P(B)