×

Hello! Socratic's Terms of Service and Privacy Policy have been updated, which will be automatically effective on October 6, 2018. Please contact hello@socratic.com with any questions.

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?

1 Answer
Sep 2, 2016

Answer:

#21/100#

Explanation:

The numbers of vowels and consonants stay the same for the second tile, because the first tile was replaced.

The total number of tiles = 40.

#P(C, V) = P(C) xx P(V) " ", larr" both must happen" #

= #28/40 xx12/40 = 21/100#