Of 9 available candidates for membership in a university committee, 5 are 4) (4 men and 4 are women. The committee is to consist of 4 persons. Find the probability that a) The committee will have two men and two women. b) The committee will have at least 3 men.

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

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Q: 1) Out of 55 students, 24 are taking Physics and 21 are taking Chemistry and 12 students are in both…

A: We have to find given probability.

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

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Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…

A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways   If…

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: 6) In a company there are 10 executives: 6 women and 4 men. 4 are selected to attend a management…

A: 6- women 4-men 10- total members .4 are selected to attend management seminar. p(select 3 men and 1…

Q: a) Compute the probability that each hand has exactly two hearts and four diamonds. b) Compute the…

A: Given: 2 hands of 10 cards each are randomly selected from an ordinary deck of 52 playing cards.

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: A committee of four members is to be randomly formed from 8 technicians, 4 engineers, and 3…

A: Given, n(technicians) = 8 n(engineers) = 4 n(mathematics) = 3 Total  = 8+4+3  = 15 a) P(The…

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 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   select group of 7 at random from the…

Q: box contains 5 red and 10 white marbles. If 8 marbles are to be chosen at random without…

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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: There are 22 students, from which 6 people will be picked to be on a panel. If Abe and James are 2…

A: We have to find given probability

Q: b) Three groups of three people are to be selected from nine people, of whom three are man teachers,…

A: GivenThe number of groups =3the number of people in each group =3 The total number of people =9The…

Q: Alan is looking forward to return to in-person lectures! His four friends (Bob, Chris, Danny and…

A: As per guidelines we will only answer the first three subparts, please repost other subparts for…

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 glass jar contains 3 red, 3 green, 1 purple, and 5 yellow marbles. You are choosing the marbles…

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Q: At​ Technodynamics, Inc., a​ randomly-selected hiring committee of 4 people is formed from a group…

A: From the given information, 4 people are selected from the group of 6 employees from marketing and 4…

Q: 2. Find a) the probability that all 4 people in a group of 4 were born on January 14; b) the…

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Q: There are 30 blue phones and 50 red phones in a store. An employee chose 10 phones at random. Find…

A: It is given that the store has 30 blue and 50 red phones.In this case, each of the 10 randomly…

Q: At a local company, 36 people apply for a job posting. The 36 people consist of 20 men and 16 women.…

A: Solution: It is given that there are 36 people who apply for a job posting at a local company. There…

Q: a) If the chairperson is randomly selected, find the probability of getting a woman. b) If the…

A: According to our guidelines, we can answer only 3 sub-parts. So, please repost the rest parts.

Q: There are 20 students in a class. Arshia, Manu, and Eva from the class, are great friends. If the…

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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: 2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the…

A: Given data There are group of 10 women and 6 men.

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: A club at CBC has 6 History Majors, 5 English Majors, and 8 Psychology Majors. If a committee of 3…

A: It is given that there are 6 History, 5 English, and 8 Psychology Majors. Thus, Consider that n is…

Q: Suppose there are 3 Americans, 9 Germans, and 6 Swiss in the room and we need to select a committee…

A: The following information has been provided: Number of Americans=3 Number of Germans=9 Number of…

Q: ) A bridge hand is made up of 13 cards from a deck of 52. Find the probability of a hand with 6 of…

A: select 13 cards from 52 card deck.  P(six cards of one suit,4 of another suit and 3 of another suit)…

Q: jar contains 20 identical ping-pong balls except that 4 are red, 5 are yellow, 4 are blue,  & 7 are…

A: Given, A jar contains 20 identical ping-pong balls except that 4 are red, 5 are yellow,…

Q: Find the probability that the committee has a) 3 women and 2 men b) 4 women and 1 men

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