If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is correct?
Given: A and B are two events such that A ⊂ B and P(B) ≠ 0
As A ⊂ B ⇒ A ∩ B = A
⇒ P(A ∩ B) = P(A)
As A ⊂ B ⇒ P(A) < P(B)
As we know
consider
it is also known that P(B) ≤ 1
⇒ P(A|B) ≥ P(A) …(3)
Hence, the correct answer is (C).