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A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Betty and Mary. The use of the word "or" in the description of the events, should be interpreted as the inclusive or. That is “A or B" means that A is true, B is true, or both A and B are true. What is the probability that Betty is first in line or Mary is last in line as a function of n? Sim- plify your final expression as much as possible and include an explanation of how you calculated this probability.

A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Betty and Mary. The use of the word "or" in the description of the events, should be interpreted as the inclusive or. That is “A or B" means that A is true, B is true, or both A and B are true. What is the probability that Betty is first in line or Mary is last in line as a function of n? Sim- plify your final expression as much as possible and include an explanation of how you calculated this probability.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I am needing assistance with this question. The explanations in the book are not thorough enough and only briefly touches on this sub-subject to answer this. 

A class with \( n \) kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Betty and Mary. The use of the word “or” in the description of the events should be interpreted as the inclusive or. That is “\( A \) or \( B \)” means that \( A \) is true, \( B \) is true, or both \( A \) and \( B \) are true. What is the probability that Betty is first in line or Mary is last in line as a function of \( n \)? Simplify your final expression as much as possible and include an explanation of how you calculated this probability.
Transcribed Image Text:A class with \( n \) kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Betty and Mary. The use of the word “or” in the description of the events should be interpreted as the inclusive or. That is “\( A \) or \( B \)” means that \( A \) is true, \( B \) is true, or both \( A \) and \( B \) are true. What is the probability that Betty is first in line or Mary is last in line as a function of \( n \)? Simplify your final expression as much as possible and include an explanation of how you calculated this probability.
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