In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, what is the probability you will choose a consonant and then a vowel?
Total constants = 15
Total vowels = 21
Total letters = 15 + 21 = 36
Probability of a consonant on first place = 15/36
Probability of a vowel on second place = 21/36
Probability of getting a consonant and then a vowel (or vice-versa):
(15/36)(21/36) = 315/1296 = 35/144
Hope this helps!