10) Consider the following election with five candidates and 21 voters. a) Use the Hare System to identify the winner. First Second Third Fourth First Second Third Fourth 7 A B C 7 A D B C D 6 B A C b) This second election is evidence that Hare System FAILS to satisfy one of the criteria. Which one criterion? Please explain. (Notice the rightmost column!) 6 B A C D D 5 C 5 C B A D B A D 3 D с B A 3 A D C B

May you help me please :)

I I am using the HARE method, would I choose B as the winner since B has more than 50% of total votes in the 2nd round?      5 4 3 2 1 1st A B C D D 2nd B C D A B 3rd D D A B C 4th C A B C A

1.  Number of voters 11 9 14 1st choice B A C 2nd choice C B B 3rd choice A C A Find the winner of this election under the plurality method.Winner =    2.  Number of voters 7 7 6 5 7 10 1st choice B B D C C A 2nd choice A C A B D C 3rd choice D A B D B D 4th choice C D C A A B Find the winner of this election under the plurality method.Winner =    3.  Number of voters 4 13 14 1st choice B C A 2nd choice C B B 3rd choice A A C Find the Condorcet Candidate, if there is one. If there is not a Condorcet Candidate, enter noneCondorcet Candidate =    4.  Number of voters 13 14 18 9 1st choice D B A C 2nd choice B C D D 3rd choice C A B A 4th choice A D C B Find number of points Candidate D receives under Pairwise Comparison (Copeland's Method)Points = Find the winner of this election under Pairwise Comparison (Copeland's Method)Winner =    5.  Number of voters 21 15 17 14 22 31 1st choice C D A C A B 2nd choice B A D…

A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 221 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 97 16 Female 84 24 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is female and prefers a shirt? (b) What is the probability that the employee is female or prefers a shirt?

A student is taking a multiple-choice exam in which each question has four choices A, B, C, and D. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are 15 multiple-choice questions on the exam. What is the probability that she will get     all 15 questions correct?   at least 10 questions correct?   no questions correct?   no more than 5 questions correct?

2. Let A 3 {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1,9, е, а, с, 0}, and C 3D {2, с, 10, 9, 8, — 4, 11, е, 3, 0}. Find AПВ, AUB, А-С, Вnc