Question

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is :

• A. $\frac{5}{44}$
• B. $\frac{1}{9}$
• C. $\frac{1}{11}$
• D. $\frac{7}{45}$

Answer 1

The Correct Option is B

Perfect squares between 6 and 50 are:
$$9, 16, 25, 36, 49$$
Count = 5. Total numbers between 6 and 50 (inclusive):
$$50 - 6 + 1 = 45$$
Probability:
$$P = \frac{5}{45} = \frac{1}{9}$$