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QuizMultiple Choice

Independent and Mutually Exclusive Events — Quiz

Question 1 • Integrated Math II CR SUSD (EX)

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
7 over 12
B
5 over 72
C
5 sixths
D
25 over 144

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.

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