There is a 5-sided fair dice with faces showing 1, 2, 3, 4, 5 dots. The dice is rolled four times. Find the probability of getting a total score between 10 and 15 (inclusive).
If X is the score from one roll, then it follows a discrete uniform distribution with parameter 5.
The Attempt at a Solution
I'm really clueless as to how to start. I can only think of writing out all the possible sums and finding the probability. But that seems rather tedious, is there a better way?