The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.

What is the probability that two vowels are chosen?

StartFraction 5 Over 72 EndFraction
StartFraction 25 Over 144 EndFraction
StartFraction 7 Over 12 EndFraction
Five-sixths

Question

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.

What is the probability that two vowels are chosen?

StartFraction 5 Over 72 EndFraction
StartFraction 25 Over 144 EndFraction
StartFraction 7 Over 12 EndFraction
Five-sixths

Vocaloid · Answer

Take it one draw at a time

The probability of getting a vowel on the first draw: # of vowels / total # of letters

It says the letter is replaced, meaning the total number of vowels as well as the total number of letters is constant between both draws.

So the second draw , for the second vowel, is the same probability

Multiply the two probabilities together