An election shall be held in the City on the first Tuesday in April of odd-numbered years to elect the Council members to succeed those whose terms are expiring in the respective year. Every qualified elector of the City may vote for one of the candidates for an office to be filled, but may not vote for any other person. The candidate for each office receiving the greater number of votes shall be elected. In case of failure to elect because of a tie, the election shall be determined from among those tying, fairly by lot, by the county election board in a public meeting.