Question

You have a bag containing 26 tiles, each imprinted with one letter of the alphabet. If you pick out 5 tiles, what is the probability that they are a, e, i, o, and u in that order?

Answer 1

For the first picking the probability of picking a is 1/26 as there is only 1 a out of the 26 letters. For the second picking there are only 25 letters and there is only 1 e out of the letters. For the succeeding picks, the probabilities are 1/24, 1/23, and 1/22. Thus, the probability is 1/7893600.