Question

The probability that a number selected at random from the numbers $1,2,3.......15$ is a multiple of $4$ is

• A. $\frac{4}{15}$
• B. $\frac{1}{5}$
• C. $\frac{2}{15}$
• D. $\frac{1}{15}$

Answer 1

The correct option is B

$\frac{1}{5}$

Total number of outcomes$=15$

From the numbers $1,2,3.......15$ multiples of $4$ are $4,8$ and $12.$

Number of favourable outcomes $=3$

Probability that a number selected at random from the numbers $1,2,3.......15$ is a multiple of $4$ is

$=$$\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes}$

$=\frac{3}{15}$

$=\frac{1}{5}$

Hence, option $\left(B\right)$ is correct.