Voting Methods and Preference Tables

The video introduces the concept of voting, focusing on preference ballots and tables. It discusses the complexities of determining election winners and provides examples, including a student body election. The video defines preference ballots and tables, illustrating how they are used to rank choices and determine outcomes. It concludes with a detailed example of creating and analyzing a preference table.

What is a key reason why different voting methods might be needed for different types of elections?

• To reduce the cost of the election

• To fairly represent the preferences of different groups

• To accommodate different numbers of candidates

• To ensure the election is completed quickly

In the student body election example, why is candidate E not considered to have a majority?

• E is ranked last by all voters

• E does not have more than 225 votes

• E is disliked by most voters

• E has fewer than 100 votes

What is a preference ballot?

• A ballot where voters select only one candidate

• A ballot where voters rank candidates in order of preference

• A ballot that is used only in presidential elections

• A ballot that is counted twice for accuracy

How is a preference table created from preference ballots?

• By selecting the candidate with the most first-place votes

• By combining individual ballots to show the number of voters for each order

• By listing candidates alphabetically

• By eliminating the candidate with the least votes

In the college survey example, how many possible orders of preference are there for three choices?

• Three

• Six

• Four

• Five

What principle is used to determine the number of possible orders of preference?

• Addition principle

• Division principle

• Subtraction principle

• Counting principle

How many students voted in the college survey example?

• 21

• 20

• 18

• 19

What is the purpose of counting the number of votes for each order in the preference table?

• To determine the most popular candidate

• To predict future voting trends

• To verify the total number of votes

• To eliminate the least popular candidate

Why is it important to verify the sum of votes in the preference table?

• To ensure no votes are missing

• To identify the most disliked candidate

• To confirm the winner of the election

• To adjust the voting method if needed

What is the main use of a preference table in voting?

• To predict future election outcomes

• To list candidates alphabetically

• To gather information needed to select the winner

• To eliminate candidates with the least votes