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

Answer:

The answer could be 21/100

just got it right on gradpoint

(IT IS NOW 21/5)

Explanation:

Your answer comes down to 0.21; it would be out of 100 so 21/100 seems like the very logical answer.

Answer 2

The answer is 0.21.

There are in total 40 tiles:
28 vowels + 12 consonants = 40 tiles.

To calculate the probability, we will use the multiplication rule which calculates the probability that both of two events will occur:

The first event: the probability of choosing a consonant: 12/40 (because there are 12 consonants out of 40 tiles). 12/40 = 3/10

The second event: the probability of choosing a vowel: 28/40 (because there are 28 vowels out of 40 tiles). 28/40 = 7/10

Thus, the probability of choosing a consonant and then a vowel.is:

12/40 × 28/40 = 3/10 × 7/10 = 0.3 × 0.7 = 0.21