Question

question 4
number of voters 14 11 5
1st choice c b a
2nd choice b c b
3rd choice a a c
find the winner of this election under the plurality-with-elimination (instant runoff voting) method.
winner =
check answer

Explanation:

Step1: Calculate total voters

Total voters = \( 14 + 11 + 5 = 30 \). Majority needed: \( \lceil \frac{30}{2}
ceil = 16 \) (since we need more than half).

Step2: First round votes

• A: 5 (from the third group)
• B: 11 (from the second group)
• C: 14 (from the first group)

No candidate has 16 or more. Eliminate A (lowest votes: 5).

Step3: Redistribute A's votes

A's voters (5) had 2nd choice B. So:

• B: \( 11 + 5 = 16 \)
• C: 14

Now B has 16, which is a majority.

Answer:

B