QuestionDetermine if this statement is valid: A candidate got the most first-place votes but lost. Explain your choice.
Studdy Solution
STEP 1
Assumptions1. The statement is "A candidate received the majority of first-place votes and lost the election."
. We are to determine if this statement makes sense or not.
3. We have four possible answers to choose from.
4. The Borda count method and the plurality method are two different voting systems.
5. In the Borda count method, voters rank candidates and points are assigned to each ranking. The candidate with the most points wins.
6. In the plurality method, the candidate with the most first-place votes wins.
STEP 2
We first need to understand the statement. It says a candidate received the majority of first-place votes but still lost the election. This means that despite having the most first-place votes, the candidate did not win.
STEP 3
Now, let's consider each of the possible answers.A. The statement makes sense because the Borda count method using preference ballots can result in a situation where this can happen.
B. The statement does not make sense because the candidate with the majority of the first place votes in an election is always the winner.
C. The statement makes sense because the plurality method can result in a situation where this can happen.
. The statement does not make sense because the candidate with the majority of the first place votes using the plurality method is the winner.
STEP 4
We know that in the plurality method, the candidate with the most first-place votes wins. So, options C and D do not make sense in the context of the statement.
STEP 5
In the Borda count method, voters rank candidates and points are assigned to each ranking. The candidate with the most points wins. It is possible in this method for a candidate to receive the most first-place votes but lose the election if they do not receive enough points from lower rankings.
STEP 6
Therefore, the correct answer is A. The statement makes sense because the Borda count method using preference ballots can result in a situation where this can happen.
The candidate receiving the majority of first-place votes and losing the election makes sense when considering the Borda count method.
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