Question

What is the probability that a number selected from the numbers $1,2,3,.......,15$ is a multiple of $4$?

Answer 1

Let $E$ be the event of getting a multiple of $4$ from the numbers $1$ to $15$

Multiples of $4$ upto $15=4,8,12$
No. of favorable outcomes$=3$

Total no. of possible outcomes $=15$

We know that, Probability $P\left(E\right)$ $=\frac{\text{(No.of favorable outcomes)}}{\text{(Total no.of possible outcomes)}}$$=\frac{3}{15}=\frac{1}{5}$

Therefore, the probability that a number selected from the numbers $1,2,3,.......,15$ is multiple of $4$ is $\frac{1}{5}$.