5
lesson pretestMultiple Choice

Pretest

Question 5 • Mathematics II

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them. What is the probability that both of Eduardo’s partners for the group project will not be boys?

Answer
A
64 over 169
B
24 over 65
C
9 over 65
D
128 over 325

Explanation

There are 16 students who are not boys among the 26 names. The probability of drawing two of them without replacement is (16/26) × (15/25) = 24/65. So the correct choice is 24 over 65.

AI-written and checked against the verified answer.

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