Question

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The proabbility that the drawn card has a number which is a perfect square is
(a) $\frac{1}{45}$ (b) $\frac{2}{15}$ (c) $\frac{4}{45}$ (d) $\frac{1}{9}$

Answer 1

Total number of cards = 45
total possible outcomes = 45
the perfect square numbers between 6 and 50 are: 9, 16, 25, 36, 49

No. of cards bearing perfect square numbers = 5
no. of favorable outcomes = 5
required probability = no. of favorable outcomes/total possible outcomes $=\frac{5}{45}=\frac{1}{9}$

answer:- (d) $\frac{1}{9}$