A box conatins cards numbered 6 to 50. A card is drawn at random from the box.
Question:

A box conatins 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) $\frac{1}{45}$

(b) $\frac{2}{15}$

(c) $\frac{4}{45}$

 

(d) $\frac{1}{9}$

 

Solution:

Total number of outcomes = 45.

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

Numbers of favourable outcomes = 5.

$\therefore \mathrm{P}$ (getting a number which is a perfect square) $=\frac{\text { Number of favourable outcomes }}{\text { Number of all possible outcomes }}$

$=\frac{5}{45}=\frac{1}{9}$

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

Hence, the correct answer is option (d).

 

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