Verified Solution • 2025–26 Session moderate

QJEEM19Ma8a7d: JEE Main 2019 Mathematics - Class 12 JEEM19Ma8a7d Solution: Let A and B be two non-null events such that A ⊂ B . Then,…

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

Multiple Choice Options

  • A P(A|B) = 1
  • B P(A|B) = P(B) – P(A)
  • C P(A|B) ≤ P(A)
  • D P(A|B) ≥ P(A)

Step-by-Step Verified Solution

P(AB)=P(A∩B)P(B)

As A ⊂ B,

then P(A∩B) = P(A)

∴ P(AB)=P(A)P(B)

As P(B) ≤ 1

∴ P(A)P(B) ≥ P(A)

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