JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two dice are thrown simultaneously. The probability of getting the sum 2 or 8 or 12 is

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

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

    C)                 \[\frac{7}{18}\]    

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

    Correct Answer: B

    Solution :

               The sum 2 can be found in one way i.e. \[(1,\,\,1)\]            The sum 8 can be found in five ways i.e. \[(6,\,\,2),\] \[(6,\,\,2),\,(5,\,\,3),\] \[\,(4,\,\,4),\,(3,\,\,5),\,(2,\,\,6)\]. Similarly the sum twelve can be found in one way i.e., \[(6,\,\,6).\]                 Hence required probability \[=\frac{7}{36}.\]


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