Number 3

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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Number 3
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1) a) What is the probability of selecting one student that has a credit card?

b) What is the probability of selecting one student that has a credit card or is a freshman?

c) What is the probability of selecting one student that is not a sophomore?

d) If you select students one at a time what is the probability that the 5th student is the first one that has a credit card?

2) A certain virus causes illness in 18 out of every 100 people it infects. Of the people who do become ill, 50% of those require medical attention. What is the probability that an infected person will become ill and will require medical attention?

3) A small New Jersey shore town is holding elections for Mayor, Chief of Police and Town Clerk. There are 6 candidates for Mayor, 4 candidates for Chief of Police and 6 candidates for Town Clerk. How many different election outcomes are possible? (No one is running for more than one office.)

4) One hundred people were asked, "Do you prefer remote classes?" Of the 37 that answered "yes" to the question, 14 were male. Of the 63 that answered "no" to the question, 22 were male. 

a) If you were to choose one of those asked and that person answered "yes", or was a male, what is the probability that that person answered "no"?

b) If a person is selected at random, what is the probability that that person answered "no"?

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Note: This text covers various probability and combinatorial questions that might be used as exercises on an educational website for teaching related mathematical concepts.
Transcribed Image Text:Below is a transcription of the educational text from the image: --- 1) a) What is the probability of selecting one student that has a credit card? b) What is the probability of selecting one student that has a credit card or is a freshman? c) What is the probability of selecting one student that is not a sophomore? d) If you select students one at a time what is the probability that the 5th student is the first one that has a credit card? 2) A certain virus causes illness in 18 out of every 100 people it infects. Of the people who do become ill, 50% of those require medical attention. What is the probability that an infected person will become ill and will require medical attention? 3) A small New Jersey shore town is holding elections for Mayor, Chief of Police and Town Clerk. There are 6 candidates for Mayor, 4 candidates for Chief of Police and 6 candidates for Town Clerk. How many different election outcomes are possible? (No one is running for more than one office.) 4) One hundred people were asked, "Do you prefer remote classes?" Of the 37 that answered "yes" to the question, 14 were male. Of the 63 that answered "no" to the question, 22 were male. a) If you were to choose one of those asked and that person answered "yes", or was a male, what is the probability that that person answered "no"? b) If a person is selected at random, what is the probability that that person answered "no"? --- Note: This text covers various probability and combinatorial questions that might be used as exercises on an educational website for teaching related mathematical concepts.
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It is an important aspect of combinatorics . It forms a basic background for probability theory .

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