Question

A number is selected at random from $1$ to $50$. What is the probability that it is a perfect square.

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 perfect square are

{$1,4,9,16,25,36,49$} which means the number of favourable outcome is $7$.

Therefore, probability $P$ that it is a perfect square is:

$P=\frac{7}{50}$

Hence, the probabilitythat it is a perfect square is $\frac{7}{50}$.