At the beginning of the semester, each student in our class provided a voice recording of their given name, as well as the name they wanted to be called. Unfortunately, the professor accidentally deleted these voice recordings, and he forgot how the given names of {Brooke, James, Melissa, Timothy, Xial} matched up to their desired names: {Alex, Jimmy, Mino, Neal, Flora }. Afraid to share his Hashtag Fail, the professor randomly matched a given name to a desired name – e.g. Xial = Jimmy, Timothy = Neal, Melissa = Mino, James = Flora, Brooke = Alex. Determine the probability that the professor got none of the five matches correct.

At the beginning of the semester, each student in our class provided a voice recording of their given name, as well as the name they wanted to be called. Unfortunately, the professor accidentally deleted these voice recordings, and he forgot how the given names of {Brooke, James, Melissa, Timothy, Xial} matched up to their desired names: {Alex, Jimmy, Mino, Neal, Flora }. Afraid to share his Hashtag Fail, the professor randomly matched a given name to a desired name – e.g. Xial = Jimmy, Timothy = Neal, Melissa = Mino, James = Flora, Brooke = Alex. Determine the probability that the professor got none of the five matches correct.

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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