The results of an election are summarized in the preference table below. Using the plurality-with-elimination method of voting, determine the winner.
A)X
B)Z

Question

The results of an election are summarized in the preference table below.  Using the plurality-with-elimination method of voting, determine the winner.
A)X 
B)Z

Quizplus · Accepted Answer

Using plurality-with-elimination method, we eliminate the candidate with the fewest first-place votes from consideration and redistribute their votes to the remaining candidates. 
After the first round, candidate Y has the fewest first-place votes (2), so we eliminate Y from consideration and redistribute their votes. 
After the second round, candidate X has the most first-place votes (5) and thus, is the winner. Therefore, the answer is B. Using the plurality-with-elimination method, we eliminate the candidate with the fewest first-place votes in each round until only one candidate remains. In the first round, candidate X has the fewest first-place votes, so X is eliminated and their votes are redistributed to the remaining candidates. In the second round, candidate Y has the fewest first-place votes, so Y is eliminated and their votes are redistributed. In the final round, candidate Z has the most first-place votes, so Z is declared the winner. Therefore, the best choice is B, Z.

The Results of an Election Are Summarized in the Preference