Three distinct numbers are chosen at random from the set {0, 1, 2, ..., 10}. What is the probability that the middle element is 5?
For the first number, I can choose any number except 5: 9/10
For the second number, I must choose 5: 1/9
For the third number, I can choose any of the eight remaining numbers: 8/8
9/10 x 1/9 x 8/8 = 1/10