Use the following information to answer Questions
Consider a 13-person committee that is considering three applicants, A, B, and C, for an opening. The individual rankings are summarized in the table below. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of members }$
$\begin{array} { l l c c c }
& 5 & 4 & 2 & 2 \
\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { A } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { C } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { B }
\end{array}$
-Which applicant would be accepted if the committee used the plurality-runoff method?

Question

Use the following information to answer Questions 
Consider a 13-person committee that is considering three applicants, A, B, and C, for an opening. The individual rankings are summarized in the table below. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of members }$
$\begin{array} { l l c c c } 
& 5 & 4 & 2 & 2 \
\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { A } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { C } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { B }
\end{array}$
-Which applicant would be accepted if the committee used the plurality-runoff method?

Quizplus · Accepted Answer

Plurality-runoff method works in the following way:
- First, the first-choice votes are counted.
- If one candidate gets more than half of the votes, that candidate wins.
- Otherwise, a runoff occurs between the two candidates with the most first-choice votes.

In this scenario, candidate A has 5 first-choice votes, candidate B has 4 first-choice votes, and candidate C has 2 first-choice votes. As no candidate has more than half of the votes, a runoff occurs. 
In the runoff, candidate A and candidate B are the two candidates with the most first-choice votes. Looking at the second-choice votes, candidate B has 4 votes while candidate A has only 2 votes. Therefore, candidate B would win the runoff and be accepted. Therefore, the correct answer is B.

Use the Following Information to Answer Questions Consider a 13-Person

Use the Following Information to Answer Questions
Consider a 13-Person