The chess clubs of two schools consist of, respectively,8

Chapter 2, Problem 30

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The chess clubs of two schools consist of, respectively,8 and 9 players. Four members from eachclub are randomly chosen to participate in a contestbetween the two schools. The chosen playersfrom one team are then randomly paired withthose from the other team, and each pairing playsa game of chess. Suppose that Rebecca and her sisterElise 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 representtheir schools but will not play each other?(c) either Rebecca or Elise will be chosen torepresent her school?

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