Suppose there are three delegates to a county convention: Adam has 4 votes from his precinct, Bob has 3 votes, and Cathy has 1 vote. A simple majority wins. Which of the following is not a winning coalition?
A)Adam, Bob, and Cathy
B)Adam and Bob
C)Adam and Cathy
D)Bob and Cathy

Question

Quizplus · Accepted Answer

In order for a coalition to be a winning coalition, it must have at least 5 votes (which is more than half of the 8 total votes). Adam and Bob together have 7 votes, which is a winning coalition. Adam and Cathy together have 5 votes, which is also a winning coalition. Bob and Cathy together only have 4 votes, which is not enough to be a winning coalition. Therefore, choice D is not a winning coalition.

Suppose There Are Three Delegates to a County Convention: Adam