AnswersCR - Algebra 2 26-27 - S2Theoretical and Experimental ProbabilityQuestion 2
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Theoretical and Experimental Probability

Question 2 • CR - Algebra 2 26-27 - S2

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?

Answer
S
S = {PQR}
S
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S
S = {PQ, PR, QR}
S
S = {PQ, QP, PR, RP, QR, RQ}

Explanation

Because the first name drawn becomes president and the second becomes vice president, the order of the two names matters. The possible outcomes are PQ, QP, PR, RP, QR, and RQ, where each pair shows president first and vice president second. Choice D lists all six outcomes.

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