9
lesson pretestMultiple Choice

Pretest

Question 9 • Mathematics II

Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

Answer
A
1 over 289
B
1 tenth
C
5 over 136
D
10 over 289

Explanation

There are 17 books total, so the probability of picking a reference book first is 2/17. After that book is not replaced, 16 books remain, including all 5 nonfiction books, so the probability of picking nonfiction next is 5/16. Multiply the probabilities: (2/17)(5/16) = 10/272 = 5/136, which is choice D, “5 over 136.”

AI-written and checked against the verified answer.

Previous
Next