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11th Class Mental Ability Probability Question Bank Question - Probability

  • question_answer
    Direction: If A and B be two mutually exclusive events in a sample space such that.\[P(A)=\frac{2}{5}and\,\,P(B)=\frac{1}{2},\,\,then.\] Find P \[(\overline{\mathbf{A}}\cap \overline{\mathbf{B}})\]:

    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. \[P(\overline{A}\cap \overline{B})=(\overline{A\cap B})=1-P(A\cup B)=1-\frac{9}{10}=\frac{1}{10}\,\,\,.\]


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