The History of Rummy Bets. It is believed that the game started in Mexico or the United States, from whence it quickly became well-known & traveled to other countries. The Devethe game downloadlopment of Noble Rummy. Many iterations of rummy with distinct rules and gameplay elements have developed over time. Especially, it's thought that Europeans invented rummy noble, which became very popular in the early 1900s. The term "Rummy Noble" comes from the fact that the game was first played by affluent people & members of elite social circles.