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? Ans: (a- 1/18, b- 1/6, c- 9/18)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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?
Ans: (a- 1/18, b- 1/6, c- 9/18)
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? Ans: (a- 1/18, b- 1/6, c- 9/18)
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