A school dance committee is to consist of 7 students. The students that are eligible to be in the committee are 8 freshmen and 10 sophomores. a) In how many ways can the committee be chosen? b) What is the probability that the committee consists of 4 freshmen and 3 sophomores? c) What is the probability that the committee consists of at most 1 freshmen? Notice that the reminder members of the committee are sophomores.

Q: We have 6 red ball and 4 blue balls. We are taking 3 balls to the park. a) find the probability…

A:

Q: Find the probability that the committee has a) 3 women and 2 men.

A:

Q: Trudy has a container filled with 57 round push -pins. Of the 57 push-pins in the container, 21 are…

A: There are a total of 57 round push -pins in a container.Number of white push-pins is 21.Number of…

Q: A committee of 4 is selected from 7 Republicans and 7 Democrats. This committee must have at least…

A: Given: Number of Republicans = 7 Number of democrats = 7 Number committee members = 4

Q: A club of 27people consists of 9 men and 18 women. A team of 9 is randomly selected from the club.…

A:

Q: You get a box of twelve chocolates, of three kinds: six Plain, four Coconut, and two Cashew. Draw…

A: Distribution of chocolates is given as, Plain Chocolates=6Coconut Chocolates=4Cashew…

Q: A school newspaper reporter decides to randomly survey 17 students to see if they will attend Tet…

A: Given data,n = 17p = 18% = 0.18a) Expected no.of students is= n x p= 17 x 0.18= 3.06≈3 students

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: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: 6. A drawer contains 6 black, 4 red and 2 white socks. If two socks are randomly selected without…

A: Given,no.of black socks=6no.of red socks=4no.of white socks=2Total no.of socks=12

Q: financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: given data, 8-women 52 -men 60- total members 7 members are selected at random we have to find out…

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: A six person committee must be formed from a group of 6 boys and 7 girls. Determine the probability…

A: A six person committee must be formed from a group of 6 boys and 7 girls Total students = 6 + 7 = 13…

Q: A couple plans to have 2 children.a) List the different outcomes according to the gender of each…

A: The objective of this question is to determine the different outcomes of having two children based…

Q: A couple plans to have three children. Find each probability? a) Of all boys. b) Of all girls or all…

A: According to our answering guidelines, we can answer only three subparts of a question and the rest…

Q: there are 35 cards, numbered 1 to 35, in a box. 2 cards are drawn, 1 at a time, with replacement.…

A: Given : There are 35 cards, numbered 1 to 35, in a box. Probability of drawing 2 multiples of 10,…

Q: 1. Applicants for the presidency of the APIEMS job consists of 10 Filipinos, 8 Australians, 12…

A: Probability = Number of favourable outcome/Total number of outcomes

Q: Delta Airlines flights from Minneapolis to Atlanta are on time 83% of the time. Suppose 6 flights…

A: It is given that n is 6 and p is 0.83.

Q: There are 12 tulip bulbs in a package. Nine will yield yellow tulips and three will yield red…

A: Given No.of yellow tulips bulbs=9No.of red tulips bulbs=3Total no. tulip bulbs=12

Q: You are dealt 5 cards from a deck of 52 cards. a) What is the probability that you are dealt exactly…

A: It was stated that I have dealt 5 cards from a deck of 52 cards. Need to find the following…

Q: A student organization committee consisting of 7 people to be formed by selecting from a group of 26…

A: We have to find given probability.

Q: a) 1 girl and 2 boys b) oldest is a girl.

A: Given, A family has planned to get 3 kids i.e. n=3

Q: A math class consists of 16 students, 9 female and 7 male. Three students are selected at random,…

A: Given that a math class consists of 16 students, 9 female and 7 male. Three students are selected at…

Q: 8. 18 members of our class line up for the "Data Club" math photo. If we line up randomly what is…

A:

Q: In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you…

A: d) According to the given information,Population size, N = 100Number of successes in population, K =…

Q: A bag of M&M's has 4 red, 6 green, 2 blue, and 3 yellow M&M's. What is the probability of randomly…

A: No. of red M&M's=4No. of green M&M's=6No. of blue M&M's=2No. of yellow M&M's=3Total…

Q: A jar cantains 4 red marbles and 5 blue marbles. D) Find the probability of drawing two red marbles…

A: Given: Red marbles = 4 Blue marbles = 5 Total number of marbles = 9

Q: At a conference gathering, there are 5 math instructors, 2 computer science instructors, 8…

A:

Q: A college has 6 Male professors, 15 female professors, 6 Male teaching assistants, 15 female…

A:

Q: b) A team consists of 5 members to be formed from 10 students and 5 lecturers. Find the probability…

A: Number of members in the team is 5. Number of students is 10. Number of lecturers is 5.

Q: At a sorority meeting, there are 7 seniors, 4 juniors, and 3 sophomores. If a committee of 6 is to…

A:

Q: A committee of 5 persons is to be selected from a group of 5 men and 10 women. Find

A: Given information: There are 5 men and 10 women. Total people is 5+10=15 5 people selected from 15…