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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\[\mathbf{(A}\,\,\cup \,\,\mathbf{B)}\]:

    A) \[\frac{7}{16}\]

    B) \[\frac{9}{16}\]

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

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

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option (c) is correct. \[(A\cup B)=P(A)+P(B)-P(A\cap B)\] \[\frac{2}{5}+\frac{1}{2}-0=\frac{9}{10}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(\therefore \,P(A\cap B)=0)\]


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