Question

An integer is chosen at random from $1$ to $50$. Find the probability that the number is divisible by $5$.

Answer 1

Step:Find the probability that the number is divisible by $5$.

Given that we have to choose a number from $1$ to $50$.

Then the total number of outcomes $=50$

According to the question,

Numbers divisible by $5$ from $1$ to $50$ are $5,10,15,20,25,30,35,40,45,50$

Then the total number of favorable outcomes $=10$

We know that $\mathrm{Probability}=\frac{\mathrm{number}\mathrm{of}\mathrm{favorable}\mathrm{outcomes}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{outcomes}}$

$$\begin{gathered} =\frac{10}{50} \\ =\frac{1}{5} \end{gathered}$$

Therefore, the required probability is $\frac{1}{5}$.