Question

A number is selected at random from $1$ to $50$. What is the probability that it is a multiple of $6$

Answer 1

The total number of outcomes are $50$.

Now, if a number is selected at random then the possible outcomes that it is a multiple of $6$ are

{$6,12,18,24,30,36,42,48$} which means the number of favourable outcome is $8$.

Therefore, probability $P$ that it is a multiple of $6$ is:

$P=\frac{8}{50}=\frac{4}{25}$

Hence, the probabilitythat it is a multiple of $6$ is $\frac{4}{25}$.