In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student council, and 5% belongs to both clubs. If a student belongs to the student council, what is the probabilitythat he or she also belongs to the math club?

here define events student belongs to math club = M student belongs to council = C p(M) = 0.20 p(C)…

Answered: In a certain high school, 20% of the…

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

Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at least twice a week. What is the probability that a student chosen at random from the class uses the library at least twice a week? What is the probability that a student chosen at random from the class uses the library less often than twice a week? If two students are chosen at random from the class, what is the probability that both of them use the library at least twice a week? If two students are chosen at random from the class, what is the probability that both of them do NOT use the library at least twice a week?
In a deck of 52 cards, what is the probability of getting a hand of five cards and getting exactly one pair?
When someone buys a ticket for an airline flight, there is a 0.0995 probability that the person will not show up for the flight. An airplane has 19 seats. What is the probability that if 21 tickets are sold no more than 19 passengers will show up for the flight.
The mayor conducted a survey of 1000 residents, where 486 are in favor of proposal 1, 372 in favor of proposal 2, and 134 in favor of both proposal 1 and 2. What's the probability that a resident isn't in favor of either proposal 1 or 2?
A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a special committee. What is the probability that more girls are on the committee than boys?
Suppose that 28% of people own dogs. If two people are randomly selected, what is the probability that they both own a dog?
In a certain high school, 11% of the students like math, while 18% of the students like chemistry. The probability that the chosen student likes both math and chemistry is 0.06. What is the probability that a randomly chosen student does not like math nor chemistry?
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you won't be selected?
Money bills are frequently printed with defects. The probability that a bill's front side has a defect is 2 percent, the probability that a bill's back side has a defect is 4 percent, and the probability that a bill has defects on both sides is 1 percent. What is the probability that a bill will have a defect on the front, given that it has a defect on its back?
A classroom has five students wearing glasses and 16 students not wearing glasses. If we randomly select a student in the class, what is the probability they are wearing glasses?
A group of six students is chosen at random from a list of five maths students and four psychology students. What is the probability that four maths students and two psychology students are chosen?
A bag contains eight balls: 3 red, 3 green, and 2 blue. You sample three balls without replacement. What is the probability that you get a red ball, then a green ball, then a blue ball?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student council, and 5% belongs to both clubs. If a student belongs to the student council, what is the probability that he or she also belongs to the math club?