Solve the problem.6) A condominium association is holding an election for president of the board of directors. Each member ranksthe candidates from first to third. The preference table below shows the results of the ballots with candidatesAbbott (A), Blake (B), Cleary (C), and Downs (D).Number of Votes 3 6 5 8 7 4 6 6 4FirstABAACBDC CSecondCABCDDBBAB C C DAA ADDDDDB B CCABThirdFourthIf the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternativescriterion satisfied?

Given data Abbott(A), Blake(B), Cleary(C) and Downs(D) Number of votes 3 6 5 8 7 4…

Answered: Solve the problem. 6) A condominium…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the plurality with elimination method to determine the winner and compare it to the plurality method. Who wins the preferential vote and the single candidate vote? There are 74 voters and the candidates need 37 votes to win. There are 5 candidates for the house of representatives and you have to rank them by preference. Votes 20 16 12 15 11 1st Emilio Howard Richard Melissa Hannah 2nd Howard Melissa Hannah Hannah Emilio 3rd Melissa Emilio Melissa Richard Richard 4th Hannah Richard Emilio Howard Howard 5th Richard Hannah Howard Emilio Melissa a Plurality with elimination: Richard wins with 43, Plurality: Emilio wins with 20 Plurality with elimination: Melissa wins with 43, Plurality: Emilio wins with 20 Plurality with elimination: Hannah wins with 43, Plurality: Emilio wins with 20 d. Plurality with elimination: Emilio wins with 37, Plurality: Emilio wins with 20
Consider the following election. This is the same table as above. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality with the Elimination Method, the winner of the election is Group of answer choices D C B A
Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the plurality-with- elimination method. Number of Votes 50 65 60 First Choice A В C Second Choice B C A Third Choice C A The winner is [answer1] B O A
A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 38 52 40 26 30 45 Using the Borda count method, does the winner satisfy the majority criterion? Yes. Using the Borda count method, Elaine Garcia won the election, and she had a majority of first-place votes .Yes. Using the Borda count method, Raymond Lee won the election, and he had a majority of first-place votes. No. Using the Borda count method, Raymond Lee won the election, although Elaine Garcia had a majority of first-place votes. No. Using the Borda count method, Elaine Garcia won the election, although no candidate received a majority of first-place votes. No. Using the Borda count method, Raymond Lee won the election,…
Candidates A, B, C, and D are competing to win an award. There are 5 voters in this election. The chart below shows the preference schedule. Voter 1 1st choice A 2nd choice B 3rd choice C 4th choice D Voter 2 B C D A Voter 3 C B D A Voter 4 D B C A Voter 5 A D C B 6. With the previous example, what is the outcome if you use the Borda count method?
The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First Second Third JSJ C SJC S CCS J Determine the winner using the Borda count method. Did the winner receive a majority of the first place votes using the Borda count method? Select one: a. Smith; No O b. Smith; Yes O c. Jones; No d. Clark; Yes e. Jones; Yes O f. Clark; No
Consider the following election. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality Method, the winner of the election is Group of answer choices C D A B
An organization, with 200 members, is about to select their president. The nominees are Alisha (A), Ben (B), Caroline (C), Dave (D), and Ellazar (E). The summary of voting are as follows: number of votes: 25 20 28 12 18 25 19 18 20 15 1st choice A A B B E E 2nd choice B E А E A 3rd choice D A E E B A D В 4th choice E E B A. A 5th choice E B A D E C B A By instant run off, determine the order of elimination from first to last. O Ben >> Caroline >> Ellazar O Caroline >> Ben >> Ellazar Ellazar >> Ben >> Caroline Ellazar >> Caroline >> Ben
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Four candidates, Harrison (H), Lennon (L), McCartney (M), and Starr (S), are running for regional manager. After the polls close, ranked ballots are tallied, and the results are summarized in the table. Use the plurality method of voting to determine the winner. Harrison Lennon McCartney Starr Number of Ballots Cast 45 95 24 91 30 13 18 1st choice H L L M M S S 2nd choice L M S L L H M 3rd choice S H M H S L H 4th choice M S H S H M L
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