10th Class Mathematics Probability Question Bank Probability

  • question_answer Cards marked with numbers 13, 14, 15,........60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the drawn card is
    (i) divisible by 5.
    (ii) a number which is a perfect square.

    A)

    (i) (ii)
     \[\frac{5}{24}\] \[\frac{1}{24}\]
                   

    B)

    (i) (ii)
     \[\frac{5}{24}\] \[\frac{1}{12}\]
                   

    C)

    (i) (ii)
     \[\frac{1}{12}\] \[\frac{5}{12}\]
                   

    D)

    (i) (ii)
     None of these

    Correct Answer: B

    Solution :

    Outcomes are 13, 14, 15,......., 60. Total number of possible outcomes \[=60-12=48\] The numbers divisible by 5 are 15, 20, 25, 30, 35, 40, 45, 50, 55, 60. Thus, the number of numbers divisible by 5 =10 Required probability \[=\frac{10}{48}=\frac{5}{24}\] (ii) Perfect square numbers are 16, 25, 36, 49; Thus, the number of perfect square number = 4 Required probability \[=\frac{4}{48}=\frac{1}{12}\]                

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