Which are true of majorities and pluralities? Select the two correct answers.

A.
A majority is a position held by more than half of a group.

B.
A plurality is a position held by more than half of a group.

C.
A majority is a position held by less than half of the group but is still the most popular decision.

D.
A plurality is held by less than half of the group but is still the most popular position.

A and D

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The two correct answers are:

A. A majority is a position held by more than half of a group.
D. A plurality is held by less than half of the group but is still the most popular position.

The two correct answers are:

A. A majority is a position held by more than half of a group.
C. A majority is a position held by less than half of the group but is still the most popular decision.

To understand the difference between majorities and pluralities, it's important to define these terms:

1. Majority: A majority refers to a position or decision that is supported by more than half of a group. In other words, it represents the largest portion of the group's consensus.

2. Plurality: A plurality, on the other hand, refers to a position or decision that is held by the largest proportion of the group, but not necessarily more than half. This means that there could be other positions or decisions that have support, but are not as popular as the plurality winner.

In the given answer choices:

A. A majority is a position held by more than half of a group. This statement accurately describes what a majority is.

B. A plurality is a position held by more than half of a group. This statement incorrectly defines a plurality. Pluralities are not required to have more than half support.

C. A majority is a position held by less than half of the group but is still the most popular decision. This statement correctly conveys that a majority can still be the most popular decision even if it does not have support from more than half of the group.

D. A plurality is held by less than half of the group but is still the most popular position. This statement correctly defines a plurality as the most popular position even if it falls short of having support from more than half of the group.

Therefore, options A and C are the correct answers. A majority is a position held by more than half of a group, and a majority can also be the most popular decision even if it does not have support from more than half of the group.