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RCMultiple Choice

Probability and Two-Way Tables — Cumulative exam

Question 1 • Fall 24 GMS Geometry: Concepts and Connections B

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

Answer
A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}

Explanation

A sample outcome is a group of three students, so the order in which they are chosen does not matter. The four possible groups are ABC, ABD, ACD, and BCD—each formed by leaving out one of the four students. Therefore, choice A represents the sample space.

AI-written and checked against the verified answer.

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