Question

A card is drawn from a pack of $100$ cards numbered $1$ to $100$. The probability of drawing a number which is a square is

• A. $\frac{1}{5}$
• B. $\frac{2}{5}$
• C. $\frac{1}{10}$
• D. None of these

Answer 1

The correct option is C

$\frac{1}{10}$

Explanation for the correct option:

Find the required probability:

Given that, Total number of cards $=100$

Now, Favorable cases are $1,4,9,16,25,36,49,64,81,100$

So, Total number of favorable cases $=10$

$\therefore$The required probability $=$ Favorable cases / total number of cards

$$\begin{gathered} =\frac{10}{100} \\ =\frac{\mathbf{1}}{\mathbf{10}} \end{gathered}$$

Hence, Option ‘C’ is Correct.