Question

The probability that a randomly chosen number from the set of first $100$ natural numbers is divisible by $4$ is

• A. $\frac{5}{24}$
• B. $\frac{3}{4}$
• C. $\frac{1}{2}$
• D. $\frac{1}{4}$

Answer 1

The correct option is D $\frac{1}{4}$

First we note that
$4,8,12...100$ are the numbers which are divisible by $4$
The total count of these number comes to be $25$.
So there are $25$ favourable cases and $100$ total cases.
So, probability $=$ $\frac{25}{100}=\frac{1}{4}$
So, option D is the correct answer.