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:

P(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)`