Question

number of voters 16 8 15
1st choice a b c
2nd choice c c a
3rd choice b a b

find the winner of this election under the plurality method.

Explanation:

Step1: Recall Plurality Method

The plurality method determines the winner by counting the number of first - choice votes each candidate receives. The candidate with the most first - choice votes wins.

Step2: Calculate First - Choice Votes for Each Candidate

• For candidate A: The number of voters who have A as their first choice is 16.
• For candidate B: The number of voters who have B as their first choice is 8.
• For candidate C: The number of voters who have C as their first choice is 15.

Step3: Compare the Number of First - Choice Votes

We compare the number of first - choice votes: \(16>15 > 8\). So candidate A has the most first - choice votes.

Answer:

Candidate A