The term 'Old West Casino Game' can be summarized as Faro, a four-letter word. Faro was a popular card game in the Old West, particularly in the 19th century. It was played with a standard deck of cards and was the most popular gambling game in the United States during that time. The game was also known as Pharaoh or Pharaon, and it was often played in saloons and gambling houses. The game was eventually replaced by poker and other card games.