Combinatorics-Based Probability Section 1: A group of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force Officers. An eight officer committee is to be randomly selected. Find P(3 Army Officers, 2 Navy Officers, 3 Air Force Officers). 23,500 23,530 23,520 С. 203,490 23,510 А. 203,490 В. D. 203,490 203,490

Q: 20) In one town, 45% of all voters are Democrats. If four voters are randomly selected for a survey,…

A: This is the case of binomial because there are only two possible outcomes, i.e., Democrats or not…

Q: A pet store has 14 ​puppies, including 5 ​poodles, 5 ​terriers, and 4 retrievers. If Rebecka and​…

A: Given information: The pet store has 14 puppies. Among 14 puppies, 5 are poodles, 5 terriers and 4…

Q: Of 100 students, 22 can speak French, 14 can speak German, and 4 can speak both French and German.…

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Q: The 5 elders of a church are Simeon, Levi, Judah, Joseph, and Benjamin. Three of the elders are…

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Q: A room contains 25 people who would respond differently to a yes/no question, if asked. Room: • 25…

A: There was a total of 25 peopleA sample of 9 people was drawn without replacement.It is needed to…

Q: In a population where 25% of voters prefer Candidate A, an organization conducts a poll of 1616…

A: P(prefer candidate A) = 0.25 n = 16 voters P(0 of 16 will prefer candidate A) = ?

Q: Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, we have…

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

A: no.of democrats=8no.of republicans=8no.of independents=3Total no.of members=19

Q: A bag contains 4 Milky Way bars and 5 Snickers bars. Jerod picks a bar at random from the bag and…

A: Given information: A bag contains 4 Milky Way bars and 5 snickers bars. Total number of bars is…

Q: A farmer wants to see if there is a difference in average yield between two varieties of corn…

A: The problem involves comparing the average yield of two varieties of corn, A and B, planted on the…

Q: There are 7 acts in a talent show. An acrobat, a comedian, a juggler, a pianist, a singer, a…

A: Given: total number of act (n)=7

Q: A committee has fourteen members. There are three members that currently serve as the​ board's…

A: It is given that that the committee of 14 members, three already serving as the board 's chairman,…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: The number of first-year students who were admitted and accepted for the 2022 fall semester at Pitt…

A: Number of students admitted to Dietrich School = 3431Total students = 4927The probability that a…

Q: 2. Each individual letter of the word Georgia is placed on a piece of paper, and all 7 pieces of…

A: Suppose each individual letter of the word "Georgia" is placed on a piece of paper.All  pieces of…

Q: Consider a political discussion group consisting of 5 ​Democrats, 5 ​Republicans, and 5…

A: A political discussion group consisting 15 members out of which 5 are Democrats, 5 are Republicans,…

Q: A jar contains 2 red, 4 green, 5 blue, and 5 yellow marbles. If a single marble is chosen at random…

A: Sample space = { 2 red marbles, 4 green marbles, 5 blue marbles, 5 yellow marbles } Number of…

Q: b) A Heart or Spade? (Please enter a reduced fraction.)

A: (b) P(getting a heart or spade) = P(getting a heart) + P(getting a spade)…

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: A senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3…

A: a) There are 5 Republicans, 6 Democrats, and 2 Independents.

Q: An automobile manufacturer makes 4 different car models. Each car comes in one of 6 different…

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Q: A committee has five members. There are three members that currently serve as the board's chairman,…

A: It is given that a committee has five members. Out of which three members are randomly selected and…

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

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: A pet store has 7 puppies, including 3 poodles, 2 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: Total number of puppies = 7 Number of Poodles = 3 Number of Terriers = 2 Retrievers  = 2  Selecting…

Q: A committee has seven members. There are three members that currently serve as the board's chairman,…

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Q: The composition of the Senate of the 111th Congress was: 41 Republicans, 2 Independents, and 57…

A: There are 41 Republicans, 2 Independents, and 57 Democrats.  Total number of senators is 41+2+57…

Q: A pet store has 12 puppies, including 4 poodles, 4 terriers, and 4 retrievers. If Rebecka and Aaron,…

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Q: An urn contains 3 blue, 2 yellow, and 6 gray marbles. Two marbles are randomly drawn from the urn.…

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