AnswersDHS Geometry B-CR MAT214 DunawayTheoretical and Experimental ProbabilityQuestion 11
11
QuizMultiple Choice

Theoretical and Experimental Probability

Question 11 • DHS Geometry B-CR (MAT214) Dunaway

Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

Answer
A
A = {KL}
B
A = {KJ, KL}
C
A = {KL, LK}
D
A = {KJ, KL, LJ}

Explanation

The possible pairs are KJ, KL, and LJ, where each pair names the two players in the first match. If Joe plays, the pair is KJ or LJ. The complement is the outcome in which Joe does not play: KL, so the correct choice is A, {KL}.

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