Question

If A and B are two events such that P (A) ≠ 0 and P(B|A) = 1, then ______.

Options

• A ⊂ B

• B ⊂ A

• B = Φ

• A = Φ

Answer 1

If A and B are two events such that P (A) ≠ 0 and P(B|A) = 1, then. A ⊂ B.

Explanation:

`P(B|A) = 1`

⇒ `(P(A ∩ B))/(P(A)) = 1`

Where A ⊂ B, A ∩ B = P(A)

∴ P(A ∩ B) = P(A)

∴ A ⊂ B