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

  • question_answer
    A and B are two events such that P = 0.8, P=0.6 and \[P(A\cap B)=0.5,\] then the value of \[P\,(A/B)\] is

    A)                 \[\frac{5}{6}\]       

    B)                 \[\frac{5}{8}\]

    C)                 \[\frac{9}{10}\]    

    D)                 None of these

    Correct Answer: A

    Solution :

                    \[P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P(B)}=\frac{0.5}{0.6}=\frac{5}{6}.\]


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