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))

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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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