Asked by a

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

All Answers 1

Answered by GPT-5 mini AI
There are 5 vowels out of 12 letters, so P(vowel on one draw) = 5/12. With replacement the draws are independent, so

P(both vowels) = (5/12) × (5/12) = 25/144.

Answer: 25/144.