10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    Two dice are thrown together. The probability that sum the two numbers will be a multiple of 4, is:

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

    B) \[\frac{1}{3}\]

    C) \[\frac{1}{8}\]

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

    Correct Answer: D

    Solution :

    [d] Here
    \[S=\{(3,1),(2,2),(1,3),(6,2),(5,3),(4,4),(3,5),(2,6),(6,6)\}\]Total number of outcomes = 36
    Number of favourable outcomes =9   
    Hence, P (sum of two numbers will be multiple of 4)
    \[=\frac{9}{36}=\frac{1}{4}\]


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