• Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. If they take their seats in a completely random fashion, what is the probability that a) Jim and Paula (husband and wife) sit in the two seats on the far left? b) Jim and Paula end up sitting next to one another.

Q: Three students from a 15 student class will be selected to attend a meeting. Six of the students are…

A: Total number of students = 15 Number of females = 6 Probability of choosing a female is: p=615=0.4…

Q: Assume that there are 4 different issues of Time magazine, 5 different issues of Popular Science,…

A: Given Number issues of time magazine are – 4. Number issues of Popular Science are – 5. Number…

Q: One urn has 3 blue and 2 white balls; a second urn has 1 blue and 3 white balls. A single fair die…

A: E1: Urn 1  P(E1) = 2/6 E2: Urn 2   P(E2) = 4/6  A: Blue ball P(A|E1) = 3/5 = 0.6 P(A|E2) = 1/4 =…

Q: How many 4-letter arrangements can be made from the letters of the word DEALING, such that: (i) two…

A: Number of arrangement of data can be calculated using either permutation or combination. Permutation…

Q: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

Q: A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the…

A: The following information has been given: The number of red marbles =10. The number of blue…

Q: 10.(-is) Five people are in an endurance race. Suppose you randomly pick and bet on two of them.…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: 2. A deck of cards contains 20 cards: 6 red cards and 14 black cards. 5 cards are drawn randomly…

A: (2) Given Information: A deck of cards contains 20 cards: Red cards = 6 and Black cards = 14 5 cards…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: A jury of 12 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given: Number of men=8 Number of women=8 Total number of Men and Women is, Total member=8+8=16 It is…

Q: 2 Universal Temps is recruiting for people to work at 5 call centres, and there are 10 applicants.…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: Imagine you have an urn containing 2 red, 3 blue, and 6 orange marbles in it. (a) What is the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: From a bag that contains 12 white balls, 18 red balls, and 10 green balls, one ball is drawn at…

A: Given problem Given that   From a bag that contains 12 white balls, 18 red balls, and 10 green…

Q: From a bag containing 5 red, 8 black and 17 white balls, a ball is drawn. What is the probability…

A: From the provided information, A bag containing 5 red, 8 black and 17 white balls. Total balls = 5 +…

Q: 2. A Engineering team has 120 members, of whom 44 are Electrical Engineers, 30 are Mechanical…

A: sample size = 120 Let E: Electrical engineers      M: Mechanical engineers PE: 44120=0.367PM:…

Q: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coins with…

A: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coinswith…

Q: 1.) A red ball and 4 white balls are in a box. If two balls are drawn, without replacement, what is…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: A company has 140 employees of which 30 are supervisors. Eighty of the employees are married and 20…

A: Given data, P(Married)= 80/140 = 0.5714 P(Supervisor | Married)= 0.20 P(Married and supervisor)=?

Q: Three balls are selected from a bag contains 5 black, 4 red and 3 blue balls. What is the…

A:

Q: A technician is launching fireworks near the end of a show. Of the remaining twelve fireworks, five…

A:

Q: Assume that there are 6 different issues of Time magazine, 7 different issues of Popular Science,…

A: Given data:  6 different issues of Time magazine, 7 different issues of Popular Science,  4…

Q: A small company has 5 part time employees and 10 full time employees. Of the part time employees, 3…

A: Introduction: In random experiment, mutually exclusive events are very important. These events are…

Q: Two cards are drawn at random from a well shuffled pack of 52 cards. What is the probability that :…

A:

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: C) in osorno a trip to viña del mar is raffled among the 120 best clients of yogi market. of them,…

A: Probability: The term probability is defined as the chance of occurrence of an event. The…

Q: A survey of 1000 students found that 41% of the surveyed students were freshmen, 31% were juniors,…

A: Given that 1000 students were surveyed.

Q: From a box containing five black balls and three green balls, three balls are drawn in succession,…

A:

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: We have to find given probability.

Q: There are 12 people, including Amanda and Marc, applying to become member of a new committee…

A: a) There are 12 people, including Amanda and Marc, applying to become member of a new committee…

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

A:

Q: A factory produces candies, and 21% are blue. In the factory, the candies are randomly mixed…

A: Let X be the number of blue candies in the box, that follows binomial distribution with n=29 and…

Q: In a tank containing 10 fishes, there are three yellow and seven black fishes. We select three…

A: Hypergeometric distribution is given by

Q: (B) Yet another University in the same city has 100 employees. Forty of the employees are full time…

A:

Q: Assume that there are 6 different issues of Time magazine, 7 different issues of Sports illustrated,…

A: From the provided information, There are 6 different issues of Time magazine, 7 different issues of…

Q: In a box there are 2 white, 3 black, and 4 red balls. If a ball is drawn at random, what is the…

A: Given: Number of white balls, n(w)=2. Number of black balls, n(b)=3. Number of red balls, n(r)=4.…

Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled…

A: Let define the events: A = students are enrolled in a psychology course B = Students are enrolled in…

Q: In a class of 23 students, 18 are female and 7 have an A in the class. There are 5 students who are…

A: First, we'll create a table for the given data,   Female Male Total Class A 5 2 7 Other  13 3…

Q: A work crew for a building project is to be made up of 2 craftsmen and 4 laborers selected from a…

A: a). The required number of different combination to select 2 craftsmen and 4 labourers from a total…

Q: An insurance company has determined that each week an average of nine claims are filed in their…

A:

Q: 8. Seven new employees, two of whom are married to each other, are to be assigned seven desks that…

A:

Q: a. What is the probability that there are exactly 5 students who fail in 1 sem? o. What is the…

A:

Q: A hand of 8 cards is chosen at random from an ordinary deck of 52 playing cards without replacement.…

A:

Q: At a local​ college, four sections of economics are taught during the day and two sections are…

A: Solution

Q: a. What is the probability that 2 of the chosen balls are red? b. If it is known that the 2nd ball…

A:

Q: An urn contains 4 red and 4 white balls. Two balls are drawn in succession without replacement. If…

A: Given ,              no. of red balls = 4              no. of white balls = 4              Total no.…

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A:

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…