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

  • question_answer
    If \[P\,(A)=\frac{1}{2},\,\,P\,(B)=\frac{1}{3}\] and \[P\,(A\cap B)=\frac{1}{4},\] then \[P\,\left( \frac{B}{A} \right)=\]

    A)                 1             

    B)                 0             

    C)                 \[\frac{1}{2}\]       

    D)                 \[\frac{1}{3}\]

    Correct Answer: C

    Solution :

                    \[P(B/A)=\frac{P(A\cap B)}{P(A)}=\frac{1/4}{1/2}=\frac{1}{2}.\]


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