10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    If two different dice are rolled together, the probability of getting an even number on both dice is: (CBSE2014, 15)

    A) \[\frac{1}{4}\]

    B) \[\frac{5}{18}\]

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

    D) \[\frac{1}{6}\]

    Correct Answer: A

    Solution :

    [a] Total number of possible outcomes \[=6\times 6=36\]
    Favourable outcomes = Even numbers on both dice
    \[=\{(2,4),(2,6),(4,2),(4,6),(6,2)(6,4),(2,2),(4,4),(6,6)\}\] \[\therefore \] Total number of favourable outcomes =9.
    So, the required probability \[=\frac{9}{36}=\frac{1}{4}\]


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