AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Relative FrequenciesQuestion 3
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Relative Frequencies

Question 3 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below. Participates in a Sport YesNoTotalParticipates in a ClubYes6204501070No325535860 Total9459851930Given that a student participates in a sport, what is the probability that the student also participates in a club?

Answer
A
0.3212
B
0.5544
C
0.5794
D
0.6561

Explanation

Use the students who participate in a sport as the relevant group. Of the 945 sport participants, 620 also participate in a club, so the conditional probability is 620 ÷ 945 ≈ 0.6561. The correct choice is D, 0.6561.

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