In case it shall appear that 2 or more persons have an equal number of votes for the same office for which but 1 person is to be nominated or elected and the same shall be the highest number of votes cast therefor, and no other provision is made in this act for determination of such tie, the board of canvassers, after notice to each of such candidates of a time and place therefor, shall determine the successful candidate by lot and shall declare and certify the same accordingly. Such determination, however, shall not preclude the right of a defeated candidate to a recount of the votes cast as provided in chapter 36 of this act.