A team of 5 men and 4 women is to be chosen at random from a group of 8 male and 7 female mathematicians. If Rodney and Deborah are both hoping to be chosen, what is the probability that: (i) Both are chosen? ii) Neither is chosen?

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: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: a. The probability that 6 men and 1 woman are selected is 0.4217 and it is obtained below: From the…

Q: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the…

A: Given that a school has 12 good runners of which 5 are girls.  So (12-5)=7 are boys   We can select…

Q: 2. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Part (a) Out of total 9 books, three books can be selected in 9C3 ways. Calculate the probability…

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

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: A bag contains 3 white balls and 5 black balls. If two balls are drawn in succession without…

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Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: Teledex Corporation is going to hire 3 programmers from a pool of 5 female and 5 male applicants.…

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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: At a local CVS pharmacy, 85% of the customers have a CVS card. In a random sample of 5 customers,…

A: The provided information is: Probability of a Customer would have CVS card (p)=0.85 Consider that X…

Q: A company has 8 mechanics and 3 electricians. If an employee is selected at random, what is the…

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Q: A pet store has 11 ​puppies, including 3 ​poodles, 3 ​terriers, and 5 retrievers. If Rebecka…

A: Given Information :  A pet store has 11 ​puppies, including 3 poodles 3 terriers, and 5 retrievers.…

Q: 3. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems and a…

A: Provided data is, 3 books are picked at random from shelf. A shelf contain 5 novels, 3 books of poem…

Q: If a committee of 4 is to be chosen at random from a class of 10 students, what is the probability…

A: The number of ways a committee of 4 can be chosen from a class of 10 students =104 ways Note that…

Q: In a recent poll, 23% of the respondents supported candidate A, 19% supported candidate B, 13%…

A: Introduction: The total sample size is n = 7. Denote x1, x2, x3, and x4 as the number of sampled…

Q: A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: The total number of women is 9.The total number of men is 6.The number of people selected at random…

Q: In a class of 30 students, 12 have a cat and 19 have a dog. There are 6 students who do not have a…

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Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

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Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: In a lot of 20 batteries, 4 are defective. If 2 are chosen, determine the probability that both are…

A: Number of defective batteries=X= 4 Number of batteries in a lot=n=20 Number of non defective…

Q: There are 20 students in a class. Arshia, Manu, and Eva from the class, are great friends. If the…

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Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

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Q: A box contains 20​ chocolates, but only two of them are the dark chocolate that somebody likes. When…

A: Theoretical Probability:Probability of an event is the number of outcomes favourable to the event,…

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: A bag contains 7 coins, of which 3 are fair; the remaining coin has a head on both sides. If a coin…

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: A committee of three is to be formed from a group of 12 members; in which there are 6 females and 6…

A: Given: A committee of three is to be formed from a group of 12 members; in which there are 6 females…

Q: ) A human resources director for a large corporation claims that of the 97 employees on a typical…

A: P: probability that an employee is on time P= 90/97 = 0.9278 a) P(both arrive on time) = (0.9278)2 =…

Q: A jury of 6 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given :Number of man = 8 Number of females = 8 Total number of members = 8+8=16 We want to choose…

Q: At a college, 60% of the students are women. If we select 7 students at random, what is the…

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Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

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: 2. In a class, 60% of the students have brown hair, 30% have brown eyes, 10% have both brown hair…

A: Given,P(student has brown hair)=0.60P(student has brown eyes)=0.30P(student has both)=0.10

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

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Q: There are 6 passengers on the bus, and there are 6 remaining stops before the end of the route.…

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Q: On the weekend 14 friends get together to play a football game with seven players per side. If in…

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Q: A box contains 2 white and 3 blue identical balls. If two balls are picked at random one after the…

A: A box contains 2 white and 3 blue identical balls Total = 5 If the balls are drawn without…

Q: If a committee of 3 is to be chosen at random from a class of 15 students, what is the probability…

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Q: A committee of size 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: There are totally 15 people in which 6 are men and 9 are women. The number of ways selecting…

Q: (b) Among the 300 employees of a company, 240 are union members, whereas the others are not. If six…

A: Given Total number of employees in the company N = 300 Number of union members among the 300…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems and a dictionary,…

A:

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: Define the events as follows: M : The student takes Mathematics H : The student takes History