Wyo. Stat. § 41-6-121: President.

The presidency of the board of district managers shall devolve successively upon the representatives of the respective districts, and the order of succession shall be determined in the first instance by lot. The first president shall hold office until the first day of the next succeeding December, and succeeding presidents shall hold office for terms of one (1) year each. In the absence of the president, or in case of his death, resignation or inability to act, his duties shall be discharged by the commissioner from his district who would be entitled to act in his stead, under the provisions of W.S. 41-6-120. The president shall preside at all meetings of the board. He may vote upon all questions, and, in case of tie, shall also cast the deciding vote. He shall perform such other duties as may be imposed upon him by law, or the order of the board.