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

Question

Let A and B be two non-null events such that A ⊂ B . Then, which of the following statements is always correct?, P A | B ≥ P ( A ), P A | B = P B - P A, P A | B ≤ P ( A ), P A | B = 1

MARKS App · Accepted Answer

Lets draw the venn diagram according to question, P A B = P ( A ∩ B ) P ( B ) = P ( A ) P ( B ) [ A ⊂ B ⇒ A ∩ B = A ] Now, since P ( B ) ≤ 1 ⇒ P A B = P A P B ≥ P A ⇒ P A | B ≥ P ( A )

Search any question & find its solution

Looking for more such questions to practice?