Question

A number is selected at random from $1$ to $50$. What is the probability that it is not a multiple of $2$

Answer 1

The total number of outcomes are $50$.

Now, if a number is selected at random then the possible outcomes that it is not a multiple of $2$ are

{$1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49$} which means the number of favourable outcome is $25$.

Therefore, probability $P$ that it is not a multiple of $2$ is:

$P=\frac{25}{50}=\frac{1}{2}$

Hence, the probabilitythat it is not a multiple of $2$ is $\frac{1}{2}$.