Question

Cards marked with the numbers $2$ to $101$ are put in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is a perfect square.

• A. $\frac{9}{100}$
• B. $\frac{5}{100}$
• C. $\frac{4}{100}$
• D. $\frac{7}{100}$

Answer 1

The correct option is A $\frac{9}{100}$

Total number of cards are $100$. ($2$ to $101$)

No. of cards having perfect square:

$\sqrt{101}=10.049$

i.e. perfect squares of a number less than $10$ are there from $2$ to $10$ there are $9$ numbers.

So, number of cards having a perfect square is $9$.

Therefore, required probability $=\frac{9}{100}$.