Question

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 18 consonants, what is the probability you will choose a consonant and then a vowel?

Answer 1

21 vowels.....15 consonants.......added = 36 tiles

probability of first picking a consonant : 15/36 reduces to 5/12

replacing it...

probability that second pick is a vowel : 21/36

probability of both : 5/12 * 21/36 = 105 / 432 reduces to 35/144 <===

Explanation: