Question

What is the probability that a number selected at random from the number $1,2,2,3,3,3,4,4,4,4$ will be their average?

Answer 1

Let $E$ be event of getting the average of $1,2,2,3,3,3,4,4,4,4$ when selected at random

The average of $1,2,2,3,3,3,4,4,4,4=3$
No. of favorable outcomes$=3$

Total no. of possible outcomes $=10$

We know that, Probability $P\left(E\right)$ $=\frac{\text{(No.of favorable outcomes)}}{\text{(Total no.of possible outcomes)}}$$=\frac{3}{10}$

Therefore, the probability of getting the average of $1,2,2,3,3,3,4,4,4,4$ is $\frac{3}{10}$