Question

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is a perfect square number 

Answer 1

The cards are numbered from 11 to 60.
∴ Total number of outcomes = 60 − 10 = 50 

The perfect square numbers from 11 to 60 are 16, 25, 36 and 49.
So, the favourable number of outcomes are 4.
∴ P(number on the drawn card is a perfect square) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{4}{50} = \frac{2}{25}\]