Question

There are 100 lettered tiles in a board game. You chose the following tiles without looking: D, G, K, A, I.

How many of the 100 tiles would you expect to be vowels?

Answer 1

Out of 100 tiles we would expect vowel tiles to be:

40

Explanation:

Out of the five tiles drawn 2 were vowels

Hence, ratio of vowels to total tiles drawn=2/5

Hence, most likely the ratio of vowels to total tiles will be 2/5

Hence, out of 100 tiles the possibility of vowel tiles are:

`(2)/(5)* 100`

=40

Hence, out of 100 tiles we would expect vowel tiles to be:

40

Answer 2

40 tiles

Assuming the vowels and non-vowels are equal to the five picked, there would be 40 tiles that are vowels.

You have picked five different letters. 5% or 1/20 of 100. If two of those five were vowels, then if you consistently pick 2/5 vowels every time, a predicted 40 tiles will be vowels, 60 would not.