9th Class Mathematics Probability Question Bank Probability

  • question_answer
    Direction: for question number 14 ? 17. If A and B be two mutually exclusive events in a sample space such that. \[\operatorname{P}(A)\,=\frac{2}{5}\]and \[\operatorname{P}(B)\,=\frac{1}{2}\] then
    Find \[\operatorname{P}\left( \overline{A}\cap \overline{B} \right)\]:

    A) \[\frac{4}{5}\]                       

    B)        \[\frac{1}{10}\]

    C) \[\frac{8}{9}\]                       

    D)        \[\frac{13}{20}\]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Option [b] is correct. \[\operatorname{P}(\overline{A}\cap \overline{B})=(\overline{A\cap B})=1-P(A\cup B)=1-\frac{9}{10}=\frac{1}{10}.\]


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