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

Question

$\begin{array}{1 1} (a)\; \large\frac{2}{10} \\ (b)\; \large\frac{3}{10} \\ (c) \; \large\frac{4}{10} \\ (d)\; \large\frac{5}{10} \end{array}$