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JEE Main & Advanced Mathematics Probability Question Bank Odds in favour and odds against Addition theorem on probability

  • question_answer
    If \[P\,(A)=\frac{1}{4},\,\,P\,(B)=\frac{5}{8}\] and \[P\,(A\cup B)=\frac{3}{4},\] then \[P\,(A\cap B)=\]

    A)                 \[\frac{1}{8}\]       

    B)                 0

    C)                 \[\frac{3}{4}\]       

    D)                 1

    Correct Answer: A

    Solution :

                    \[P(A\cap B)=\frac{2}{8}+\frac{5}{8}-\frac{6}{8}=\frac{1}{8}.\]


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