Number 3

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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 has a credit card given that the student
is not a sophomore?
d) If you select students one at a time what is the probability that the 5th student is the first on
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 5 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 63 that answered
"yes" to the question, 14 were male. Of the 37 that answered "no" to the question, 6 were male.
a) If you were to choose one of those asked at random, what is the probability that this
person answered "yes" or was a male?
b) If 1 person is selected at random, what is the probability that that person answered "no"
Transcribed Image Text: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 has a credit card given that the student is not a sophomore? d) If you select students one at a time what is the probability that the 5th student is the first on 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 5 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 63 that answered "yes" to the question, 14 were male. Of the 37 that answered "no" to the question, 6 were male. a) If you were to choose one of those asked at random, what is the probability that this person answered "yes" or was a male? b) If 1 person is selected at random, what is the probability that that person answered "no"
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It is an important aspect of combinatorics . It forms a basic background for probability theory .

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