SOLUTION: 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 ch

Algebra ->  Probability-and-statistics -> SOLUTION: 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 ch      Log On


   

Question 1104969: 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 by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
26 letters in the alphabet, 5 of which are vowela.

she chooses 5 letters.

probability that the first is a vowel is 5/26
probability that the second is a vowel is 4/25
probability that the third is a vowel is 3/24
probability that the fourth is a vowel is 2/23
probability that the fifth is a vowel is 1/22.

the probability that all 5 are vowels is:

5/26 * 4/25 * 3/24 * 2/32 * 1/22