Question

A number is selected at random from first $50$ natural numbers. Find the probability that it is a multiple of $3$ and $4$.

Answer 1

Let $E$ be event of getting a multiple of $3$ & $4$ from the numbers $1$ to $50$

Multiples of $3$ and $4$ up to $50=12,24,36$ and $48$
No. of favorable outcomes$=4$

Total no. of possible outcomes $=50$

We know that, Probability $P\left(E\right)$ $=\frac{\text{(No.of favorable outcomes)}}{\text{(Total no.of possible outcomes)}}$$=\frac{4}{50}=\frac{2}{25}$

Therefore, the probability that the number is a multiple of $3$ and $4$ $=\frac{2}{25}$