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

Given that the numbers are $1,2,2,3,3, 3,4,4,4,4$

So, Total number of possible outcomes $=10$

$Averageoftheno’s=\frac{sumofnumbers}{tota\ln umber}$

$=\frac{1+2+2+3+3+3+4+4+4+4}{10}$

$=30/10$

$=3$

Now, let’s E be the event of getting 3.

Therefore, Number of favorable outcomes $=3(3,3,3)$

P(E) = Number of favorable outcomes/ Total number of outcomes

P(E) $=3/10$

Thus, the probability that a number selected at random will be the average is $3/10$.