Three students bring identical umbrellas to class and leave them in a pile by the door.  When they leave, they each just grab a random umbrella. What is the probability that no student gets their original umbrella? What is the probability that exactly one student gets their original umbrella? What is the probability that exactly two students get their original umbrellas? What is the probability that every student gets their original umbrella?

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: organization, the proportion of people who are satisfied with the way things are going in their…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

A:

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A:

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: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: bag contains 4 blue balls and 8 red balls. If two are drawn from the bag at random, what is the…

A:

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

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: A couple decides they will continue to have children until they have two males. What is the…

A:

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…

A:

Q: A couple has two children. What is the probability that both are girls if the older of two is a…

A: The couple has two children.

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

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: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: YYou go to a party which has1000 guests (including you). What is the probability that exactly one…

A: There are total 1000 guests.  My birthday is known to me. So there is only 1 way for my birthday.…

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: One student is randomly selected at random from a class with 11 girls and 12 boys. What is the…

A: Answer: From the given data, Number of girls in the class = 11 Number of boys in the class = 12…

Q: A science class has 3 girls and 9 boys in seventh grade and 5 girls and 3 boys in eighth grade. The…

A: Given In seventh grade=3 girls,9 boys In eighth grade=5 girls,3 boys

Q: A bowl contains 6 yellow, 5 blue, and 9 red balls. One ball is removed from the box and it is not…

A: In this context, it is given that the box contains 6 yellow, 5 blue, and 9 red balls. The event of…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

A:

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 family has three children. It is known that they have at least one girl, what is the probability…

A: Given Information: A family has three children. It is known that they have at least one girl. To…

Q: A couple has 2 children. What is the probability that both are girls if the older of the two is a…

A:

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: don't

A: Since the total number of people are 12  The number of ways they can sit together is  12! =…

Q: The average number of times per week that John's 3 dogs wake him up at night because the dogs want…

A: GIVEN DATA,The average number of times per week that John's 3 dogs wake him up at night because the…

Q: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the…

A: From the given information, it is clear that There are, 8 red balls so, nR=8 7 blue red balls so,…

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.

Q: There are 65 adults and 15 children in a movie theater. Of these people, 41 adults and 6 children…

A: Given: Number of adults=65Number of children=15Total person who bought popcorn=47n=80 The…

Q: Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at…

A: Total number of students = 25Number of students uses library atleast twice aweek =18

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.