JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two dice are thrown together. The probability that sum of the two numbers will be a multiple of 4 is      [MP PET 1990]

    A)                 \[\frac{1}{9}\]       

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

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

    D)                 \[\frac{5}{9}\]

    Correct Answer: C

    Solution :

               \[S=\{(3,\,1),\,(2,\,2),\,(1,\,3),\,(6,\,2),\,(5,\,3),\,(4,\,4),\,(3,\,5),\,(2,\,6),\,(6,\,6)\}\]                 Hence required probability \[=\frac{9}{36}=\frac{1}{4}.\]


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