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 a. Rebecca and Elise will be paired? b. Rebecca and Elise will be chosen to represent their schools but will not play each other? c. either Rebecca or Elise will be chosen to represent her school?

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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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
a. Rebecca and Elise will be paired?
b. Rebecca and Elise will be chosen to represent their schools but will not play each
other?
c. either Rebecca or Elise will be chosen to represent her school?
Transcribed Image Text: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 a. Rebecca and Elise will be paired? b. Rebecca and Elise will be chosen to represent their schools but will not play each other? c. either Rebecca or Elise will be chosen to represent her school?
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