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Mathematics

A box contains 90 cards numbered 1 to 90. If one card is drawn from the box at random, then the probability that the number on the card is a perfect square is

  1. 110\dfrac{1}{10}

  2. 9100\dfrac{9}{100}

  3. 19\dfrac{1}{9}

  4. 3100\dfrac{3}{100}

Probability

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Answer

Sample space = {1, 2, 3, …., 90}, which has 90 equally likely outcomes.

Let A be the event of drawing a perfect square card.

∴ A = {1, 4, 9, 16, 25, 36, 49, 64, 81}.

Hence, the number of favourable outcomes to event A = 9.

∴ P(A) = 990=110\dfrac{9}{90} = \dfrac{1}{10}.

Hence, Option 1 is the correct option.

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