I'll gamble this here thoroughbred stud horse on my chances.  I think it's fair to assume that the game prohibited by the California Legislature in 1884 under penalty of fine and imprisonment was at that time called stud horse poker,  known today simply as stud poker.

Players who bank games are regulated by the California Gambling Commission. poker, in which four cards, rather than the traditional five cards, are played. Stud- Horse Poker  and Hokey-Pokey  Are Illegal Card Games, HEALDSBURG TRIB., Mar.