Wyo. Stat. § 11-25-202: Qualifications as to horses; preference to Wyoming bred horses.

(a) Every horse entered in any race authorized by a permit issued under this act shall be a thoroughbred horse which means any horse (including mare, gelding, colt and filly) that meets the requirements of and is registered by the Jockey Club of New York, including racing permits issued to foreign thoroughbred horses, or registered as an American quarter horse in the official stud book and registry of the American Quarter Horse Association, or registered as one (1) of another breed which maintains a recognized national stud book and registry.

(b) Every permittee conducting a pari-mutuel event shall provide each day for the running of at least one (1) race preferred to Wyoming bred horses if Wyoming bred horses are available.