8
QuizMultiple Choice

Conditional Probability

Question 8 • TN-Algebra II B SC 26-27 (For Credit)

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing.To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog?

Answer
A
8%
B
28%
C
46%
D
61%

Explanation

Since 22% of the mail was magazines, the remaining 78% was catalogs. Clothing catalogs were 36% of those catalogs, so the probability is 0.78 × 0.36 = 0.2808, or about 28% to the nearest whole percent. The correct choice is 28%.

AI-written and checked against the verified answer.

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