17th-Century Gambling Card Game Descended from Basset

Basset itself was a dice game (late 16th/early 17th century). It directly inspired these card games:

• Pharaoh (Faro): 18th-century casino staple. Players bet on ranks; dealer draws cards. Derived from Basset's betting structure.
• Ace of Hearts: English 18th-century game. Bet on when Ace of Hearts appears in a dealt sequence. Basset-inspired.

So while Basset wasn't a card game, its mechanics birthed Pharaoh and Ace of Hearts — the likely answers you seek.