Question

Let A and B be two non-null events such that A ⊂ B. Then, which of the following statements is always correct?

Options

• P(A|B) = 1

• P(A|B) ≤ P(A)

• P(A|B) ≥ P(A)

• P(A|B) = P(B) – P(A)

Answer 1

P(A|B) ≥ P(A)

Explanation:

A ⊂ B ⇒ P(A ∩ B) = P(A)

`P(A/B) = (P(A ∩ B))/(P(B))`

= `P(A/B) ≥ P(A)`