10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    A box contains cards numbered 6 to 50. A card is drawn at random from the box, the probability that the drawn card has a number which is a perfect square is: (CBSE 2013, 16)

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

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

    C) \[\frac{1}{6}\]

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

    Correct Answer: A

    Solution :

    [a] Total number of possible outcomes \[=50-6+1=45\].
    Favourable outcomes = Perfect square numbers between 6 to \[50=9,16,25,36,49\]
    \[\therefore \] Total number of favourable outcomes = 5
    So, the required probability \[=\frac{5}{45}=\frac{1}{9}\]


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