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JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    If C and D are two events such that \[C\subset D\] and \[P(D)\ne 0\], then the correct statement among the following is.   AIEEE  Solved  Paper-2011

    A) \[P(C|D)=\frac{P(D)}{P(C)}\]        

    B) \[P(C|D)=P(C)\]

    C) \[P(C|D)\ge P(C)\]            

    D) \[P(C|D)<P(C)\]

    Correct Answer: C

    Solution :

                 We have \[C\subset D\] \[\Rightarrow \,\,C\cap D=C\] \[\Rightarrow \,\,P\left( \frac{C}{D} \right)=\frac{P(C\cap D)}{P(D)}=\frac{P(C)}{P(D)}\ge P(C)\] as \[0<P(D)\le 1\]


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