Wyo. Const. art. 17, § 1

Of whom militia constituted. The militia of the state shall consist of all able-bodied qualified residents of the state, and those nonresidents who are accepted into service, between the ages of seventeen (17) and seventy (70) years; except those exempted by the law of the United States or of the state. But all residents having scruples of conscience averse to bearing arms shall be excused therefrom upon conditions as shall be prescribed by law.