Chapter: Probability· Maths

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

(A) P(A/B) = \(\frac{P(B)}{P(A)}\)

(B) P(A/B) < P(A)

(D) None of these

Doubtly Asked 25 Oct 2022 Student doubt Save WhatsApp Report

1 answer

Best answer

A ⊂ B ⇒ A ∩ B = A ⇒ P(A ∩ B) = P(A)

∴ P(A/B) = \(\frac{P(A∩B)}{P(B)}\)

= \(\frac{P(A)}{P(B)}\)

But P(B) ≤ 1

⇒ P(A/B) ≥ P(A).

Doubtly · 25 Oct 2022 Report

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