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: 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: 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: Mark has pairs of pants in three different colors, blue, black, and brown. He has 5 colored shirts:…

A:

Q: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange    Sample set={CR, RC, CO, OC, RO, OR}  n(S)=6

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

A:

Q: In a class of 10 students there are 7 boys and 3 girls.. If a committee of 5 students is selected…

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: Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the…

A: We have to Find the probability that both the cards are black....

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: In a class of 40 students, there are 20 girls and 20 boys. Eight are A students, and three of these…

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 set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

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: There are three jars. The first jar contains ten black marbles and five white marbles, the second…

A: Above question is from Bayes Theorem. It means that an event has taken place and we have to find the…

Q: For any two events A and B and P(B) + 1, find weather the following statement is true or not: 1- Р…

A: Introduction :-  We have to check whether given statement is true or false. Formulae :-

Q: A bank issues Visa and Master Cards. It is estimated that the balances on all Visa credit cards…

A: Let us denote X=the balance on all Visa credit cards issued by the bank Given that X follows a…

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

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

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.