Section 501.054 - Terms; Vacancy(a) Members of the board serve staggered six-year terms, with the terms of three members expiring October 31 of each odd-numbered year.(b) A member who is appointed for a term of less than six years may be reappointed to one successive full six-year term. A member who is appointed for a full six-year term may not be reappointed for the six years following the expiration of the member's term.(c) If a vacancy occurs during a member's term, the governor shall appoint a replacement to fill the unexpired term. Acts 1999, 76th Leg., ch. 388, Sec. 1, eff. 9/1/1999.