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JEE Main & Advanced Mathematics Probability Question Bank Conditional probability bayes theorem

  • question_answer
    If \[4\,P(A)=6\,P\,(B)=10\,P\,(A\cap B)=1,\] then \[P\,\left( \frac{B}{A} \right)=\] [MP PET 2003]

    A)                 \[\frac{2}{5}\]       

    B)                 \[\frac{3}{5}\]

    C)                 \[\frac{7}{10}\]    

    D)                 \[\frac{19}{60}\]

    Correct Answer: A

    Solution :

                    \[P\text{ }\left( \frac{B}{A} \right)=\frac{P(A\cap B)}{P(A)}=\frac{(1/10)}{(1/4)}=\frac{2}{5}.\]


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