A group of five persons is formed from five boys and four girls. Find the probability that there are at least two girls in the group?
Q: A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…
A: Given A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…
Q: A box contains 8 red, 5 white, 6 blue and 11 black marbles. If one marble is taken from the box,…
A: we have 8 red , 5 white , 6 blue and 11 black marbles if one marble is taken from the box, find the…
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: There are 7 black and 5 green balls in a box. Three balls are drawn consecutively (each ball is…
A: Given There are 7 black and 5 green balls in a box. The total balls in a box is 7+5=12. To find the…
Q: Urn A contains 3 white, 5 red and 2 black marbles. Another urn B contains 3 white, 2 red and 2 black…
A: Ans#- Given, Urn A contains 3 white, 5 red and 2 black marbles. Another urn B contains 3…
Q: A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the…
A: Obtain the probability that the committee consists only of women. The probability that the committee…
Q: There are 250 brunet, 200 blond, 150 brown-haired, and 80 red-haired people. Find the probability…
A: Solution
Q: One student is to be selected at random from a group of 7 freshmen, 5 sophomores, 8 juniors, and 3…
A: 7 freshmen, 5 sophomores, 8 juniors, and 3 seniors Total=23
Q: A 4 member committee is formed from 8 teachers and 6 students. Find the probability that the…
A: Given,no.of teachers=8no.of students=6Total no.of members=14 and Cr=n!(n-r)!×r!n
Q: A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples isdrawn without…
A: From the provided information,A basket contains 8 red apples and 6 yellow apples. Total apples = 14A…
Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen
A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…
Q: In a five children family, find the probability that there will be at most 4 boys.
A: Given There are 5 children in a family.
Q: What is the probability that the three balls drawn are the same color
A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…
Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…
A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.
Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…
A:
Q: Given a group of 9 men and 11 women, find the probability of selecting a committee of 4 that has…
A:
Q: A class consists of 18 women and 15 men. If a student is randomly selected what is the probability…
A: Given information: Number of women in class is, w = 18 Number of men in class is, m = 15 A student…
Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…
A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11
Q: A class consists of 23 women and 31 men. If a student is randomly selected, What is the probability…
A: Given data, No of Men=31 No of women=23 Total no of students=23+31= 54 P(Student is man)=?
Q: In a five children family, find the probability that there will be at least 2 boys.
A: Given: n = 5 Probability of boy or a girl = 1/2 = 0.5
Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…
A: It is an important part of statistics. It is widely used.
Q: A couple has four children . Find the probability that there are exactly two boys and two girls
A: Probability of a boy (p) = 1/2 = 0.5 Probability of a girl (p) = 1/2 = 0.5 Number of children (n)…
Q: four people are selected for a committee from 6 Democrats and 4 Republicans. What is the probability…
A: The given question is based on permutation and combination Given: n=10 Democrats=6 Republicans=4 4…
Q: One bag contains 4 white balls, 3 green balls, and 3 yellow balls. A second bag contains 2 white…
A: 1st bag :no.of white balls=4no.of green balls=3no.of yellow balls=3total no.of balls=102nd bag…
Q: An jar contains 3 red balls, 2 blue balls, and 5 white balls. A ball is selected and its color…
A: Given that Total balls=3+2+5=10 Red balls=3 , Blue balls=2 , White balls=5
Q: 60 boys and 20 girls are there in a class. Half of the boys and half of the girls of the class play…
A: There are 60 boys and 20 girls in the class. Half of the boys and half of the girls of class play…
Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…
A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…
Q: Suppose five cards are drawn from a deck of cards. Find the probability that all five cards are…
A: It is known that, Number of cards in a deck = 52 Number of heart cards = 13
Q: Suppose that eight friends are about to sit down at a round table.Find the probability that either…
A: Given:- Eight friends are about to sit down at a round table. Find the probability that…
Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…
A: According to the given information in this question, we need to find the following probability
Q: A varsity hockey team has 7 juniors and 40 seniors. The coach needs to pick 7 players to play a…
A: The term probability is defined as the chance of occurrence of an event. The probability value…
Q: If four cards are drawn, each card is replaced after it is drawn. Find the probability of getting at…
A: Number of Kings in the deck= 4 Here i am doing without replacement If 4 cards are drawn without…
Q: In a family of 4 Children, the probability of a male birth is 0.5. Find the probability that the…
A: Sample of size(n)=4p=Probability of a male birth=0.5q=1-pq=1-0.5=0.5
Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…
A: Topic = Probability
Q: A bowl contains 12 different flavored candies (4 chocolate, 5 strawberry and 3 menthol). A
A: Total number of candies are 12. Total number of chocolate candies are 4. Total number of strawberry…
Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow balls, 6 brown…
A: It is given that the number of yellow balls is 8, brown balls is 6 and black balls is 6.
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- Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?Suppose a bag contains the four letters of the word ROOM. If you take one letter out at a time and line the letters up from left to right as you take each one out, what is the probability that the letters will spell the word ROOM?Three people are selected for a committee from 5 Democrats and 3 Republicans. What is the probability the committee contains both Democrats and Republicans given that it contains at least two Democrats?
- In a box there are 3 red, 4 blue, and 5 white marbles. If 3 marbles are selected at random and the colors are noted, find the probability that all are white given that all are the same color.Three Bananas and three oranges are kept in a box. If two fruits are chosen at random, Find the probability that one is Banana and another one is orange?There are 400 brunets, 150 blonds, 200 brown-haired people and 50 red-haired people. Find the probability that among randomly selected 32 people there are 16 brunets.
- A golf ball is selected at random from a golf bag. If the golf bag contains 12 brown balls, 9 yellow balls, and 3 orange balls, find the probability of the following event. The golf ball is brown or yellow.A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls from the box at random. Find the probability that among the balls drawn, there is at least one ball of each colour.The mathematics department of a college has 6 male professors, 11 female professors, 10 male teaching assistants, and 12 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.