Question

If 'A' and 'B' are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is true :-

विकल्प

• P(A/B) = P(B)/P(A)

• P(A/B) < P(A)

• P(A/B) ≥ P(A)

• None of these

Answer 1

None of these

Explanation:

A ⊂ B ⇒ A ∩ B = A 

⇒ P(A ∩ B) = P(A)

P(A/B) = `(P(A ∩ B))/(PB) = (P(A))/(P(B))`

But, P(B) ≤ 1

⇒ P(A/B) ≥ P(A)