JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Three dice are thrown simultaneously. What is the probability of obtaining a total of 17 or 18 [AI CBSE 1983]

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

    B)                 \[\frac{1}{72}\]

    C)                 \[\frac{1}{54}\]    

    D)                 None of these

    Correct Answer: C

    Solution :

               Three dice can be thrown in \[6\times 6\times 6=216\] ways. \[A\] total 17 can be obtained as \[(5,\,6,\,6)\],\[(6,\,5,\,6),\] \[(6,\,6,\,5)\]. \[A\] total 18 can be obtained as \[(6,\,6,\,6)\].                 Hence the required probability \[=\frac{4}{216}=\frac{1}{54}.\]


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