AnswersAZ-Common Core Algebra II AComparing Two Categorical VariablesQuestion 6
6
QuizMultiple Choice

Comparing Two Categorical Variables

Question 6 • AZ-Common Core Algebra II A

A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-3031-5051+TotalSportFootball15191751Baseball7121837Basketball1581134Soccer129627 Total494852149Given that an adult likes soccer, what is the probability the adult is aged 18–30?

Answer
A
8.1%
B
18.1%
C
24.5%
D
44.4%

Explanation

Among adults who like soccer, 12 are aged 18–30 out of 27 soccer fans total. The conditional probability is 12 ÷ 27 ≈ 0.444, or 44.4%. So the correct choice is D, 44.4%.

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