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...

See similar textbooks

Similar questions

A company conducted a marketing survey of college students and found that 191 own a bicycle and 74 owned a car. If 18 of those surveyed own both a car and a bicycle, how many interviewed have a car or a bicycle? preview answers
A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?
There are 100 students waiting in line to get student IDs. Of these, 50 are from Indiana, 45 are freshmen, and 20 are neither freshmen nor from Indiana. How many of the students are freshmen who are not from Indiana?
At a carnival, an individual can win a prize by choosing a rubber duck from a pond with "Win" written on the underside of the duck. There are a total of eight ducks with "Win" written on the underside of the duck, and there are 17 ducks with "Lose" written on the underside of the duck. After each pick, if a prize is won, the duck is replaced in the pond. If a prize is not won, then the duck is again placed back into the pond. If an individual makes four picks, what is the probability the individual will win a prize exactly one time? (4) (0.32) (0.68) 1! 4! (0.32)¹ (0.68)³ O2(0.32)(0.68) (0.32) (0.68)³
The kindergartners and first and second graders were talking about their favorite field trips during the school year. One of the teachers, Ms. Brewer, turned the discussion into a math lesson, and the students conducted a survey. Each child wrote down on paper which trip was his or her favorite. (Note that many children named more than one field trip as their favorite.) The survey revealed that 55 wrote down the trip to the river, 48 indicated the trip to the police station, and 38 included the trip to the hardware store. The police station and the river were chosen on 32 papers, 26 papers included both the river and the hardware store, and 22 children wrote down the police station and the hardware store on their papers. Ms. Burke counted 17 papers that included all three and one that did not list any of the three trips. How many children were surveyed? How many children wrote down the river but not the police station? How many children did not list the hardware store?
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
You're the head chair of a popular clan of 30 video-game streamers, who go viral on various video streaming platforms for annihilating the opposition in the hottest contemporary video games. Among the many things entailed by being in this clan, these streamers often go to e-sports (competitive gaming) competitions aiming to win fame, glory, and huge prizes. Here's the thing: The hottest new battle royale shooter just released last month, and a popular gaming convention has announced that they'll be hosting a competition with it. This competition has a huge entry fee, but huge reward payouts, and the whole world will be watching. While everyone knows that your clan has only the most elite, most pro gamers, you wouldn't want to take any risk of humiliating your organization and wasting money in the process. Therefore, when this new game released last month, you assigned all your clan members to play it as much as possible and document when they win. You pooled the data at the end of the…
Suppose your school has 1000 students. Why can you be pretty sure that some pair of them will have telephone numbers that end in the same two digits and that they will like the same brand of soda?
One hundred extremely intelligent male prisoners are imprisoned in solitary cells and on death row. Each cell is soundproofed and completely windowless. There is a separate room with one hundred small boxes numbered and labeled from 1 to 100. Inside each of these boxes is a slip of paper with one of the prisoners' names on it. Each prisoner's name only appears once and is in only one of the one hundred boxes. The warden decides he is going to play a game with all of the prisoners. If they win, they will all be let free, but if they lose the game, they will all be immediately executed. The hundred prisoners are allowed to enter this separate room with 100 boxes in any predetermined order they wish, but each can only enter the room once and the game ends as soon as the hundredth person enters the room. (At any time, only one prisoner is allowed to enter and remain in this room.) Once a prisoner enters the room, he is allowed to open and look inside as many as Xboxes, where X is a…
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
In a group of 50 students, 25 are taking Math, 20 are taking Science, and 10 are taking both Math and Science. How many students are not taking either Math or Science?