10 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent their faculties. 9 of these 40 students will be randomly chosen to be on the student council. Find the probability that at least one of the four faculties will be unrepresented on the student council.

Q: A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: chloe's bookshelf has 6 books by Smith and 8 books by jones. if she removes 4 books at random, what…

A: Given data: Total books = 6 +8  = 14 She removes 4 books randomly To find: The probability of…

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: Please help me understand set theory.

A: The set theory is a mathematical theory which includes well-determined collections of…

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: The first line of a local all-star team is to be composed of 4 strikers, 3 midfeilders and 3…

A: Given,the first line of a local all-star team comprising 4 strikers, 3 midfielders, and 3…

Q: A club must choose 5 people to represent them at the National convention. The people will be chosen…

A: Given information- We have given a club that has to choose 5 members out of 32 club members. We use…

Q: Jason, Lewis, and Nora will be placed in a line along with 7 other people. What is the probability…

A: Total number of persons = 10 First we have to determine the total number of ways in which 10 persons…

Q: A pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers. If Rebecla and Aaron…

A: Given that the pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers.…

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: From a group of 4 TV critics and 8 movie critics, we randomly select 5 people. If at least 2 movie…

A: Solution-:l We have 4 TV  critics and 8 movie  critics We randomly select 5 people If at least 2…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: four marbles are chosen from an urn that contains 11 marbles, 7 yellow and 4 black. Find the…

A: GivenNo.of yellow marbles =7No.of black marbles =4Total no.of marbles =11

Q: A bottle contains 18 tablets of 6 aspirin, 4 tylenol and 8 advil. 6 tablets are randomly selected…

A: We have found that a bottle contains 18 tablets of 6 aspirin, 4 Tylenol, and 8 Advil.We selected 6…

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: Determine the probability of selecting all faculty and no administrators

A: Total=18 Faculty=10 Administration=8 Committee of 8 members P=? (All from faculty and no from…