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JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A bag contains 30 balls numbered from 1 to 30, one ball is drawn randomly. The probability that number on the ball is multiple of 5 or 7 is                                             [RPET 1997]

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

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

    C)                 \[\frac{2}{3}\]       

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

    Correct Answer: B

    Solution :

               Numbers multiple of 5\[=(5,\,\,10,\,\,15,\,\,20,\,\,25,\,\,30)\]            Numbers multiple of \[7=(7,\,\,14,\,\,21,\,\,28)\]                 Multiple of both \[=(0)\]; \[P\](5 or 7)\[=\frac{10}{30}=\frac{1}{3}.\]


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