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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 caleulated 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 caleulated this probability.

A First Course in Probability (10th Edition)
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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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 caleulated 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? Sim- plify your final expression as much as possible and include an explanation of how you caleulated this probability.
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