You're working with 6 remote machines that have an unfortunate possibility of failing as you're running a job. Specifically, they each have a probability of 0.1 of failing on any particular job. Also, the machines each have names: Alice, Bob, Chuangtzu, Dimitri, Eccles, Fonz.
If exactly three machines fail, what is the probability that they are Alice, Bob, and Chuangtzu?