A card is drawn at random from a pack of 100 cards numbered 1 to 100 . probability of drawing a numb

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14.Probability

easy

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 of these

Solution

(c) 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}}.$

Standard 11

Mathematics

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