AnswersCA-Common Core Geometry DVHS Sem. 2Theoretical and Experimental ProbabilityQuestion 7
7
QuizMultiple Choice

Theoretical and Experimental Probability

Question 7 • CA-Common Core Geometry DVHS Sem. 2

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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