MathematicsCards marked with numbers 3,4,5, ……….., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a number which is a perfect square.

Cards marked with numbers 3,4,5, ..........., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a number which is a perfect square.


  1. A
    37
  2. B
    27
  3. C
    18
  4. D
    17 

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    Solution:

    It is given that the box contains cards marked with the number 3,4,5,.......,50.
    So, the total number of outcomes is 50 - 2 = 48.
    The probability P(E) of the random experiment as,
     P(A)=Number of favorable outcomesTotal number of outcomes
    The number of events getting cards of perfect square is,
    n(X) = {4,9,16,25,36,49}
    ⇒Number of favorable outcomes = 6
    So, the probability of getting cards of a perfect square is,
    P(E)=n(X)Total number of outcomes
    ⇒P(E)=648
    ⇒P(E)=18
    The probability of getting cards of a perfect square is 18.
    Hence, option 3 is the correct answer.
     

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