Question

A card is drawn at random 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. $None$

Answer 1

The correct option is C $\frac{1}{10}$

Total number of ways =${}^{100}{C}_1=100.$
Favourable numbers are $1^2,2^2,........,{10}^2.$
Therefore favourable ways = 10.
$\therefore$ Probability=$\frac{10}{100}=\frac{1}{10}$.