The board may, by rule, provide for the exclusion or ejection from any inclosure where horse races are authorized, or from specified portions of that inclosure, of any known bookmaker, known tout, person who has been convicted of a violation of any provision of this chapter or of any law prohibiting bookmaking or any other illegal form of wagering on horseraces, or any other person whose presence in the inclosure would, in the opinion of the board, be inimical to the interests of the state or of legitimate horse racing, or both. No rule shall provide for the exclusion or ejection of any person on the ground of any characteristic listed or defined in subdivision (b) or (e) of Section 51 of the Civil Code.