The city council of a particular city is composed of five members of party A, four members of party B, and three independents. Two council members are randomly selected to form an investigative committee. a) Find the probability that both are from party A. b) Find the probability that at least one is an independent. c) Find the probability that the two have different party affiliations (that is, not both A, not both B, and not both independent).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 city council of a particular city is composed of five members of party A, four members of party B, and three independents. Two council members are randomly selected to form an investigative committee. a) Find the probability that both are from party A. b) Find the probability that at least one is an independent. c) Find the probability that the two have different party affiliations (that is, not both A, not both B, and not both independent). 

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