Question

Enter 1 if it is true else enter 0.

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

Answer 1

There are $15$ number from $1,2,3,4,...,15$

Hence, the total number of cases is $15$.

Again, the multiples of $4$ are $4,8\text{and}12$.

$\therefore$ the total number of favorable cases is $3$.

Hence, P(the number is a multiple of $4$) $=\frac{\text{Number of favourable cases}}{\text{Total number of cases}}=\frac{3}{15}=\frac{1}{5}$