Question

Natalie has a box containing 26 tiles, each with a different letter of the alphabet. She randomly chooses 5 letters. Which expression represents the probability that she will choose five vowels (not counting Y as a vowel)?

Answer 1

The total number of combinations of the 26 letters taken 5 at a time is 26C5 = 65780. Only one of these combinations has the five vowels. Therefore the probability of choosing five vowels is: 1/65780.