Find the probability of selecting three of the vowels a, e, i, o, u out of the alphabet when three letters are selected at random.

Hello, alexgintom!
Find the probability of selecting three of the vowels a, e, i, o, u out of the alphabet
when three letters are selected at random.
I will assume the selections are made without replacement.
There are: .possible outcomes.
There are: .ways to get 3 vowels.
Therefore: .