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)
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)
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
Related questions
Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc299c46-3b8e-4e00-ab29-5dcd68e8c090%2Fff0390f8-a18c-452c-96d3-3c7d9a773b03%2Fm2zzl1_processed.jpeg&w=3840&q=75)
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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