Assume that 6 women and 8 men work in a department at a large company, a committee of 4 people from the department is to be formed, what is the probability that the committee will consist of 3 men and 1 woman?

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

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: Assume that 6 women and 8 men work in a department at a large company, a committee of 5 people from…

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Q: Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles = 15 Number of blue marbles = 19 Total number of marbles = 34

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 randomly selected family has 3 children. What is the probability that there are 2 girls (given…

A: Let's B is the number of boys and G in the number of girls.The sample space for the 3 childred…

Q: Suppose a jar contains 8 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: Given: Number of red marbles = 8 Number of blue marbles = 34 Total number of marbles = 8+34 = 42

Q: A family was randomly chosen from a set of families having 5 children. What is the probability that…

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Q: Suppose a jar contains 16 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

A: Given information : Number of red marbles = 16. Number of blue marbles = 16. Total number of marbles…

Q: 5 people are chosen randomly from 4 women and 5 men to participate in an event.  What is the…

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Q: Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks. Suppose that 3 blocks…

A: Solution: From the given information, there are 5 RED blocks, 4 BLUE blocks and 3 GREEN blocks.…

Q: A committee of 3 people is selected at random from 5 men and 5 women. What is the probability that…

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Q: A bag contains 10 balls consisting of 4 green, 3 blue and 3 red balls. If two balls are chosen…

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Q: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

Q: Suppose that 5 Black balls, 3 White ball and 2 Green balls are placed into a bag. Assume that the…

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Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 13 other…

A: The baseball team has 10 ​pitchers, 5 ​infielders, and 13 other players. Thus, total number of…

Q: Assume that the box contains 10 balls: 2 red, 2 green, and 6 blue. 2 balls are drawn at random, one…

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Q: Assume that there are 8 white mice and 7 black mice to choose from, and you randomly pick 4 mice.…

A: It is given that, there are 8 white mice and 7 black mice. Thus, total mice  =8+7=15 We randomly pic…

Q: 2. Assume that there are 30 faulty products in a lot of 300 on average. If a shipment of 100 is…

A: The proability of faulty product is calculated as p=30300=0.1 Given: n=100 Let x~B(n,p)

Q: Suppose a jar contains 15 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: From the information, there are 15 red marbles and 21 blue marbles. Two marbles at random at the…

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: Assume that 6 women and 8 men work in a department at a large company, a committee of 5 people from…

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Q: A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag.…

A: Given Total number of marble=20 Number of blue marble=3

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 72% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 10 other…

A: TO work out the required probability , using counting principles

Q: A commission of 3 people out of 5 women and 4 men working in a workplace will be formed. Which of…

A: To find the probability following rules will be used  :  Fundamental Principle of Multiplication :…

Q: Assume that there are 30 faulty products in a lot of 300 on average. If a shipment of 100 is going…

A: From the provided information, In a lot of 300 there are 30 faulty products. Probability of faulty…

Q: Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and…

A: We are given,1 blue3 white2 green2 red marbles.Total marbles = 8

Q: A committee of three is to be formed from a group of 12 members; in which there are 6 females and 6…

A: Given: A committee of three is to be formed from a group of 12 members; in which there are 6 females…

Q: A family was randomly chosen from a set of families having four children. What is the probability…

A: From the given information. From the set of families having 4 children, a family was chosen at…

Q: Suppose that 4 people check their coats in a checkroom. If all claim checks are lost and the 4 coats…

A: From the provided information, There are 4 people. All people claim checks are lost and the 4 coats…

Q: A die is rolled 8 times. Given that there were 3 sixes in the 8 rolls, what is the probability that…

A: Here  A die is rolled 8 times,  probability that obtaining six at any dice is, p=1/6 Given that…

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: Assume that 6 women and 8 men work in a department at a Targe company, a committee of 5 people from…

A: We have to find the probability based on combination

Q: Assume that the committee consists of 8 Republicans and 7 Democrats. A subcommittee of 6 is randomly…

A: Obtain the probability that the new subcommittee will contain at least 2 Democrats. The probability…

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Q: In a box, there are 5 red balls and 5 black balls. If 7 balls are selected randomly and with…

A: Given that there are 5 red balls and 5 black balls.  So there are (5+5)=10 balls   Given that we are…

Q: Suppose a jar contains 5 red marbles and 40 blue marbles. If you reach in the jar and pull out 2…

A: A jar contain 5 red and 40 blue marbles Total number of marbles is 5+40 =45. The first red marble…

Q: Suppose 50% of the students in school have a part time job. Among those who have a partime job, 20%…

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Q: Assuming that boy and girl babies are equally likely, find the probability that a family with three…

A: Conditional rule:The formula for probability of A given B is,

Q: Suppose that 10000 tickets are sold in one lottery and 5000 tickets are sold in another  If a…

A: As given: A person owns 100 tickets in each lottery. The chance of winning the first price in the…

Q: Assume that 50% of the students at the university have taken four years of high school math. Of…

A: Given that, P(High school math) =0.50 P(No high school math) =1 -0.50 =0.50 P(Science| High school…

Q: There are 5 red eggs and 9 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: From the given information we Want to find the probability.

Q: Suppose a jar contains 12 red marbles and 13 blue marbles. If you reach in the jar a pull out 2…

A: There are 12 red marbles and 13 blue marbles. Thus, there are 25 marbles in total.

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: Given that the jar contains marbles of color; 11 red 10 blue Hence we have 11 + 10 = 21 marbles in…

Q: Find the probability that in a family of 4 children there will be (a) at least 1 boy and (b) at…

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Q: Find the probability that when a couple has six children. At least one of them is a boy. (Assume…

A: Given Data: The number of children is: n=6 The probability of boy and girl is equally likely. So,…

Q: Suppose a jar contains 9 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

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Q: A committee of 4 is to be selected by lot from a group of 6 men and 4 women. What is the probability…

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Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…