Answers Mathematics II PretestQuestion 2

2

lesson pretestMultiple Choice

Pretest

Question 2 • Mathematics II

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

A

5 sixths

B

7 over 12

C

25 over 144

D

5 over 72

Explanation

There are 5 vowels among 12 letters, so the probability of choosing a vowel on each draw is 5/12. Because the first letter is replaced, the two draws are independent, and the probability of two vowels is (5/12) × (5/12) = 25/144. The correct choice is 25 over 144.

AI-written and checked against the verified answer.

More from this Course

10 verified answers

Pretest

10 verified answers

Pretest

10 verified answers

Pretest