10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random, then the probability that the ticket has a number which is a multiple of 3 or 7 is

    A) \[\frac{2}{5}\]

    B) \[\frac{3}{5}\]

    C) \[\frac{4}{5}\]

    D) \[\frac{1}{5}\]

    Correct Answer: A

    Solution :

    Out of 20 tickets numbered from 1 to 20, one can be chosen in 20 ways. So, total number of possible outcomes associated with the given random experiment is 20. Out of 20 tickets numbered 1 to 20, tickets bearing numbers which are multiple of 3 or 7 bear numbers 3, 6, 7, 9, 12, 14, 15 and 18. \[\therefore \]Favourable number of elementary events =8 Hence, required probability \[=\frac{8}{20}=\frac{2}{5}\]


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