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?

Answer 1

25/144

just took the test and got it right

Answer 2

1. There are12 total letters 5 vowels and 7 consonants in the hawaiin alphabet.

2. probability of 1st letter being a vowel is 5/12
3. probability of 2nd letter being a vowel is 5/12
4. probability of both occurring is (5/12 * 5/12) = 25/144 ←