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JEE Main & Advanced JEE Main Paper (Held on 08-4-2019 Morning)

  • question_answer
    Let A and B be two non-null events such that\[A\subset B\]. Then, which of the following statements is always correct?                                    [JEE Main 8-4-2019 Morning]

    A) \[P(A|B)=1\]

    B) \[P(A|B)=P(B)-P(A)\]

    C) \[P(A|B)\le P(A)\]

    D) \[P(A|B)\ge P(A)\]

    Correct Answer: D

    Solution :

    \[P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{P(A)}{P(B)}\]           \[(as\,A\subset B\Rightarrow P(A\cap B)+P(A))\]           \[\Rightarrow \]\[P(A|B)\ge P(A)\]


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