Question

Cards marked with number $3,4,\mathrm{5............},50$ are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number.

• A. $\frac{1}{2}$
• B. $\frac{1}{4}$
• C. $\frac{1}{6}$
• D. $\frac{1}{8}$

Answer 1

The correct option is D $\frac{1}{8}$

It is given that the box contain marked with number $3,4,5,.......,50$

So, total number of outcomes is $48$

Between the numbers $3$ and $50$, there are six perfect square ,i.e., $4,9,16,25,36$ and $49$

$\Rightarrow$ Number of favourable outcomes=$6$

$\Rightarrow$ Probability that a card drawn at random bears perfect square

$=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$=\frac{6}{48}$

$=\frac{1}{8}$