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

(a)

P(A | B) = P(B) − P(A)

(b)

P(A|B) ≤ P(A)

(c)

 P(A|B) ≥ P(A)

(d)

 P(A |B) = 1


Question ID - 57560 | Toppr Answer

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

(a)

P(A | B) = P(B) − P(A)

(b)

P(A|B) ≤ P(A)

(c)

 P(A|B) ≥ P(A)

(d)

 P(A |B) = 1

1 Answer - 5876 Votes

3537

Answer Key : (c) -

 A ⊂ B; so A ∩ B = A

Now, P

⇒ P

P(B) ≤ 1

So,  P ≥ P(A)



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