committee of five to study transportation issues will be randomly selected. a. If one person on the council is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat? b. How many ways can the committee be formed if there are no restrictions on composition? C. How many ways can 3 Republicans be chosen? 23. A city council consists of ten members. Four are Democrats and six are Republicans. A d. How many ways can 2 Democrats be chosen? e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?

Q: 5. A card is drawn from a deck of 52 well-shuffled cards. Find the probability of having a. an ace…

A: deck of 52 cards. 13 cards of each 4 suits.

Q: Suppose that about 85% of graduating students attend their graduation. A group of 21 graduating…

A:

Q: Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.

A:

Q: Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: In a state lottery, you must correctly select 5 numbers (in any order) out of 40 to win the top…

A: No. of numbers to be selected(r)=5 Total no. of numbers(n)=40

Q: How many 4-member committees can be formed from a group of 7 people?

A: From the given information ,Total number of people , n = 7 Using formula ,

Q: In a certain lottery, you must select 5 numbers (in any order) out of 35 correctly to win. a. How…

A: Here we will use the concept of combination We have given that n = 35, r = 5 Formula for Combination…

Q: A fruit bowl contains 4 green apples and 7 red apples. What is the probability that a randomly…

A: Given: Fruit bowl contain 4 green and 7 red apples.

Q: 88. Ten books, consisting of 5 mathematics books, 3 physics books, and 2 chemistry books, random.…

A:

Q: Each column sums to 100%. There are about 100,000 men and 100,000 women in the workforce. Refer to…

A: Given information: Occupation sectors Gender Men Women Management 35 42 Service 14 20…

Q: 4. You roll a 6-sided number cube. Use the complement to determine the probability of not rolling a…

A:

Q: In how many ways can she fill the four positions if; a. the selection is random? b. two out of the…

A: It is given that Total persons = 10 Number of woman = 4 Number of man = 6

Q: 2. A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the…

A: Given that  A bowl contains 15 chips number 1 to 15

Q: From the word SYLLABUS: a. how many different 8 letter words can be made? b. the probability that…

A: From the provided information, Total letters in word SYLLABUS = 8 The word contain 2S 's and 2L 's.

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the…

A: Given that, There are three dice rolled at the same time.

Q: Consider a political discussion group consisting of 10 Democrats, 8 Republicans, and 3 Independents.…

A: No.of democrats = 10 No.of Republicans = 8 No.of independents = 3 Total no.of members = 21    (i.e.…

Q: H.W: If there were 3 female engineers and 2 female accountants. What is the probability of choosing…

A: Here, there are 3 female engineers and 2 female accountants.

Q: If the letters s, e, n, s, e, I, e, s, and s are chosen at random, what is the probability that they…

A: We have given letters are : s,e,n,s,e,l,e,s and s  Total number of letters = 9  Number of 's' letter…

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: A mathematics department has 10 theoretical mathematics professors and 3 applied mathematics…

A: We have given that  A mathematics department has 10 theoretical mathematics professors and 3 applied…

Q: What is the probability that the person selected is a female?

A:

Q: For a school project, 3 students need to produce a sample of students at their school.  Which of the…

A: Given: A sample of students for a school project needs to be produced by 3 students.To find: The…

Q: Five people (Alex, Barry, Carina, Dexter, and Erin) form a club, N = {A, B, C, D, E). Carina and…

A: There are 5 people. The names of the people are (Alex, Barry, Carina, Dexter, and Erin) They are…

Q: g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell…

A: Part (g) : The given problem can be solved using 'combination'. Combination is a way of drawing r…

Q: Answer parts A, B, and C based on the following scenario.  A jar has 20 marbles: 5 green, 7 blue, 8…

A:

Q: A group consists of four Democrats and five Republicans. Four people are selected to attend a…

A: Given information: A group consists of four Democrats and five Republicans.  four people are…

Q: A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to…

A: Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to…

Q: Determine whether the following individual events are independent or dependent. Then find the…

A: Given that: Rolling three die. To find the probability of the combined event rolling two 1s followed…

Q: From a set of ten marbles, seven red and three yellow, we choose one at random. a. What are the odds…

A: Total marbles=10Red marbles=7Yellow marbles=3

Q: Consider a political discussion group consisting of 5 Democrats, 10 Republicans, and 3 Independents.…

A: Given that, there are 5 Democrats, 10 republicans and 3 independents. Total members are n= 5+10+3 =…

Q: An urn contains 10 red marbles, 7 white marbles, and 8 blue marbles marbles. A child randomly…

A: Number of red marbles=10Number of white marbles=7Number of blue marbles=8Total number of marbles=25

Q: 6 red marbles, 8 white marbles, and 8 blue marbles marbles. A child randomly selects three (without…

A: There are total 18 marbles.

Q: 62% of all the town’s residents own a dog and 57% own a cat. Of the dog owners 48% also own a cat.…

A: Given information Dog owner = 62% Cat owner = 57% Dog and cat owner = 48%