#### Question

If A and B are two events such that A ⊂ B and P (B) ≠ 0, then which of the following is correct?

**A. **`P(A |B) = (P(B))/(P(A))`

**B. **P(A|B) < P(A)

**C. `P(A|B) >= P(A)`**

**D. **None of these

#### Solution

If A ⊂ B, then A ∩ B = A

⇒ P (A ∩ B) = P (A)

Also, P (A) < P (B)

Thus, from (3), it can be concluded that the relation given in alternative C is correct.

Is there an error in this question or solution?

Solution If a and B Are Two Events Such that a ⊂ B and P (B) ≠ 0, Then Which of the Following is Correct? Concept: Baye'S Theorem.