#
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 like 4,9….is

(a) 1/45

(b) 2/15

(c) 4/45

(d) 1/9

Total number of outcomes = 45

Out of given numbers, perfect square numbers are 9, 16, 25, 36 and 49.

Number of favourable outcomes = 5

∴ P(getting a number which is a perfect square) = $\frac{No.offavourableoutcomes}{TotalNo.ofoutcomes}$

= $\frac{5}{45}\phantom{\rule{0ex}{0ex}}=\frac{1}{9}$

Thus, the probability that the drawn card has a number which is a perfect square is $\frac{1}{9}$.

Hence, the correct option is (D).

Regards

**
**