I'm preparing for the Oxford TSA, and am using past papers as a way to practice. One of the questions, I thought I had right, but turned out incorrect. Would love it if you were to analyze my reasoning here -->
In the elections for the mayor of Bitton, the single transferable vote system is used. In this, each voter places a '1' beside the candidate they most want and a '2' beside their second choice. In the first round of votes, all the '1' vote of candidates are counted. If no candidate has over 50% of the votes, the bottom candidate in the poll drops out, and the '2' votes for the candidate are added to the appropriate other candidates. This is repeated until one person has over 50% of the votes.
The votes for the first round of counting were as follows:
Total votes cast: 254
How many candidates can still win?
a) 1 b) 2 c) 3 d) 4 e) 5
My reasoning may have been off. I tried subtracting the voters at the bottom, until at least the highest voter could win. This got me to subtract the bottom 3, leaving 3 more people. Hence, I said 3 more people could win. I didn't take into consideration though if other people would be able to win the the added votes.
However, even if I were, my answer would be wrong, because, the correct answer is 4 people.
How can 4 people have a chance of winning here?