You need at least nine decimal places on this problem. You may want to use fractions instead. There are 4 candidates for a position. The candidates are interviewed independently by each member of a committee that has 4 people on it. A candidate will be hired if they are chosen by at least 3 members of the committee. What is the probability that a candidate will be selected with a unanimous vote (all committee members choose the same person)? ⠀ What is the probability that a candidate will be selected with only one dissenting vote (all but one committee members choose the same person)? What is the probability that a candidate will be selected?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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You need at least nine decimal places on this problem. You may want to use fractions instead.
There are 4 candidates for a position. The candidates are interviewed independently by each member of a committee that has 4 people on it. A candidate will
be hired if they are chosen by at least 3 members of the committee.
What is the probability that a candidate will be selected with a unanimous vote (all committee members choose the same person)?
What is the probability that a candidate will be selected with only one dissenting vote (all but one committee members choose the same person)?
What is the probability that a candidate will be selected?
Transcribed Image Text:You need at least nine decimal places on this problem. You may want to use fractions instead. There are 4 candidates for a position. The candidates are interviewed independently by each member of a committee that has 4 people on it. A candidate will be hired if they are chosen by at least 3 members of the committee. What is the probability that a candidate will be selected with a unanimous vote (all committee members choose the same person)? What is the probability that a candidate will be selected with only one dissenting vote (all but one committee members choose the same person)? What is the probability that a candidate will be selected?
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