Nev. Const. art. 4, § 12
In case of the death or resignation of any member of the legislature, either senator or assemblyman, the county commissioners of the county from which such member was elected shall appoint a person of the same political party as the party which elected such senator or assemblyman to fill such vacancy; provided, that this section shall apply only in cases where no biennial election or any regular election at which county officers are to [be] elected takes place between the time of such death or resignation and the next succeeding session of the legislature.
[Amended in 1922 and 1944. The first amendment was proposed and passed by the 1919 legislature; agreed to and passed by the 1921 legislature; and approved and ratified by the people at the 1922 general election. See: Statutes of Nevada 1919, p. 478; Statutes of Nevada 1921, p. 412. The second amendment was proposed and passed by the 1941 legislature; agreed to and passed by the 1943 legislature; and approved and ratified by the people at the 1944 general election. See: Statutes of Nevada 1941, p. 563; Statutes of Nevada 1943, p. 311.]