Asked by Keondra Rouse on May 13, 2024
Verified
A Borda count is used to decide an election between three candidates, x, y, and z, where a score of 1 is awarded to a first choice, 2 to a second choice, and 3 to a third choice.There are 23 voters.3 voters rank the candidates x first, y second, and z third; 5 voters rank the candidates x first, z second, and y third; 10 rank the candidates z first, y second, and x third; and 5 voters rank the candidates y first, z second, and x third.Which candidate wins?
A) Candidate x.
B) There is a tie between x and y, with z coming in third.
C) Candidate z.
D) Candidate y.
E) There is a tie between y and z, with x coming in third.
Borda Count
A voting system where voters rank options or candidates, and each position on the ballot is assigned a certain number of points, with the option receiving the highest total of points winning.
Candidates
Individuals who apply for or are under consideration for a position, role, or opportunity.
Voters
People who meet the criteria and take part in voting processes to select officials or make decisions on matters of public concern.
- Familiarize yourself with the procedures of the Borda count method and how it is applied during voting scenarios in elections.
Verified Answer
FR
Fabiola RamirezMay 17, 2024
Final Answer :
C
Explanation :
Candidate z wins because when tallying the Borda count scores, z accumulates the highest total score. Here's the breakdown: - x receives (3*1) + (5*1) + (10*3) + (5*3) = 3 + 5 + 30 + 15 = 53 points. - y receives (3*2) + (5*3) + (10*2) + (5*1) = 6 + 15 + 20 + 5 = 46 points. - z receives (3*3) + (5*2) + (10*1) + (5*2) = 9 + 10 + 10 + 10 = 39 points. The candidate with the lowest score wins in Borda count, making z the winner with 39 points.
Learning Objectives
- Familiarize yourself with the procedures of the Borda count method and how it is applied during voting scenarios in elections.