FERMAT 2022 Problem 5

One integer is selected at random from the following list of 15 integers:

1,2,2,3,3,3,4,4,4,4,5,5,5,5,5

The probability that the selected integer is equal to n is \frac{1}{3}. What is the value of n ?

Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5