10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    In a single throw of a pair of dice, the probability of getting the sum as a perfect square is:

    A) \[\frac{7}{36}\]

    B) \[\frac{5}{36}\]

    C) \[\frac{8}{36}\]

    D) \[\frac{11}{36}\]

    Correct Answer: A

    Solution :

    [a] Total number of possible outcomes \[=6\times 6=36\]
    Let E be the event 'getting the sum as a perfect square'.
    \[\therefore \] Outcomes favorable to E are
    \[\{(1,3),(2,2),(3,1)](3,6),(4,5),(5,4),(6,3)\}\]i.e., 7 in number.
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,P(E)=\frac{7}{36}\]


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