Suppose members of three families (say, A, B and C) are to be randomly arranged in a row. Family A consists of five people, family B consists of three people and family C consists of three people. Find the probability that each family sits together; no family sits together; family B sits together given that family A does not sit together.

Q: A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

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: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

A:

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

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: Suppose the composition of the Senate is 47 Republicans, 49 Democrats, and 4 Independents. A new…

A:

Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors…

A: It is given that in a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the…

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: Two cards are drawn from a single deck of 52 cardsone after the other. If the first card is not…

A: The objective of this question is to find the probability of drawing a king on the first draw and a…

Q: Suppose that you have randomly picked up TWO students. In a class, there are 1 freshman, 7…

A: It is required to find the probability that, none of the two randomly selected students is a…

Q: Suppose there are 7 jelly beans in a box-4 red and 3 green. If a jelly bean is selected at random,…

A:

Q: uppose you and your best friend are both in a group of 20 people, and five people are to be randomly…

A: Given that  Suppose you and your best friend are both in a group of 20 people. Randomly selected…

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: Given A jar contains 6 blue, 3 green and 2 red marbles.

Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: Alana has a packet with 3 silver wrapping papers, 5 golden wrapping papers, and 6 pink wrapping…

A: Given that :  3 silver wrapping paper  5 golden wrapping paper  6 pink wrapping paper  Two wrapping…

Q: his past​ semester, a professor had a small business calculus section. The students in the class…

A: Given data,   Total number of students in a class =10   If 2 students are selected at random   P(…

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: replacing them between each choice. What is the probability that all the quarters will be Virginia…

A: HERE GIVEN ,  there are total 6+ 4 =10 quarters in wallet  6 Virginia  quarter and 4 pennsylvania…

Q: An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,…

A: The objective of this question is to find the probability of a specific sequence of events…

Q: A jury has twelve members. Seven are women and five are men. If two jurors are chosen at random,…

A: Given, Total members = 12  Men = 5 women = 7

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

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.