Answered: Three Hatfields and five McCoy's are up…

Three Hatfields and five McCoy's are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?

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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Question

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Three Hatfields and five McCoy's are up for 3 construction jobs in
Williamson. What is the probability that all 3 jobs go to Hatfields?

Expert Solution

Step 1

The number of Hatfields = 3
The number of McCoy's = 5
Total number of construction jobs in wiliamson = 3.

The total number of ways of five McCoy's and 3 Hatfields getting 3 construction jobs = ⁸C₃ = 56
The total number of ways of 3 Hatfields getting 3 construction jobs = ³C₃ = 1.

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