Question

What is the probability that a positive integer not exceeding $100$ selected at random is divisible by $3$$?$

Answer 1

To find probability:

Probability of any event $E$ is the ratio of the favorable outcomes and total number of outcomes.

Here, positive integer not exceeding $100$ , so total number of outcomes will be $100$.

From $1$ to $100$ there are total $33$ numbers which are divisible by $3$, so favorable number of outcomes = $33$

Therefore , probability = $\frac{33}{100}$

Hence , probability that a positive integer not exceeding $\mathbf{100}$ and is divisible by $\mathbf{3}$ is $\frac{\mathbf{33}}{\mathbf{100}}\mathbf{.}$