Question

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?

Answer 1

`21/100`

Explanation:

There are 40 tiles in total `(28+12=40)`

I can pick a consonant `28/40=7/10` of the time.

I can pick a vowel `12/40=3/10` of the time.

So to pick a consonant, replace the tile, then pick a vowel, the probability is:

`P("consonant then vowel with replacement")=7/10xx3/10=21/100`