10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    A box contains 90 discs, numbered from 1 to 9. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23 is:                                                                                                                (CBSE 2013)

    A) \[\frac{4}{15}\]

    B) \[\frac{7}{90}\]

    C) \[\frac{4}{45}\]

    D) None of these

    Correct Answer: C

    Solution :

    [c] Total number of possible outcomes = 90    
    Favourable outcomes \[=2,3,5,7,11,13,17,19\]
    Total number of favourable outcomes = 8
    So, the probability that it bears a prime number less than 23 \[=\frac{8}{90}=\frac{4}{45}\]


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