The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that Rebecca and Elise will be paired? I believe it's ((8 Choose 4)*(4 Choose 1))X((9 Choose 4)*(4 Choose 1))/((17 Choose 8)*(8 Choose 2))
The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that Rebecca and Elise will be paired? I believe it's ((8 Choose 4)*(4 Choose 1))X((9 Choose 4)*(4 Choose 1))/((17 Choose 8)*(8 Choose 2))
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that
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Rebecca and Elise will be paired?
I believe it's ((8 Choose 4)*(4 Choose 1))X((9 Choose 4)*(4 Choose 1))/((17 Choose 8)*(8 Choose 2))
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