Math

QuestionCan a candidate with a majority lose using the plurality method? Explain your reasoning. Choose A, B, C, or D.

Studdy Solution

STEP 1

Assumptions1. We understand the difference between majority and plurality in the context of voting. A majority means more than half of the votes, while a plurality means the most votes, even if it's less than half. . We understand that different voting methods can produce different results.

STEP 2

We need to evaluate the statement "A candidate has a majority of the vote, yet lost the election using the plurality method."

STEP 3

We need to understand that a candidate who has a majority of the vote has more than half of the total votes. This means they have the most votes, which is the definition of a plurality.

STEP 4

Based on this understanding, we can conclude that a candidate with a majority of votes must also have a plurality of votes. Therefore, it is not possible for a candidate to have a majority of votes and lose an election decided by the plurality method.

STEP 5

Therefore, the correct answer is option D "The statement does not make sense, because a candidate that has a majority must also have a plurality."

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