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KVPY Sample Paper KVPY Stream-SX Model Paper-31

  • question_answer
    Given that \[A\subset B,\] then identify the correct statement:

    A) \[P\left( \frac{A}{B} \right)=(A)\]            

    B) \[P\left( \frac{A}{B} \right)\le P(A)\]

    C) \[P\left( \frac{A}{B} \right)\ge P(A)\]

    D) \[P\left( \frac{A}{B} \right)=P(A)-P(B)\]

    Correct Answer: C

    Solution :

    \[A\subset B\]
    \[P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P(B)}=\frac{P(A)}{P(B)}\ne P(A)\](always)
    \[P\left( \frac{A}{B} \right)=\frac{P(A)}{P(B)}\ge P(A).\]  


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