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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\[(\overline{\mathbf{A}}\cap \mathbf{B})\]:

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

    B) \[\frac{3}{5}\]

    C) \[\frac{4}{7}\]

    D) \[\frac{7}{15}\]

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option (a) is correct. \[P(\overline{A}\cap B)=P(B)-P(A\cap B)=P(B)=\frac{1}{2}\] \[(\therefore \,\,P(A\cap B)=0)\]


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