10th Class Mathematics Probability Question Bank Probability

  • question_answer There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out from the bag at random. Find the probability that the number on the selected card is divisible by 9 and is a perfect square.

    A)  \[\frac{9}{100}\]                   

    B)  \[\frac{1}{25}\]                     

    C)  \[\frac{7}{100}\]                   

    D)  \[\frac{3}{100}\]                   

    Correct Answer: D

    Solution :

    Total number of possible outcomes = 100 Numbers from 1 to 100 which are divisible by 9 and perfect square are 9, 36 and 81. Number of favorable outcomes = 3 \[\therefore \]  Required probability \[=\frac{3}{100}\]

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