Card Game Against a Banker, Aka Chemin De Fer
Puzzle 4 of At the Ballet Hard Pack
Question is: Card Game Against a Banker, Aka Chemin De Fer
and the answer is: BACCARAT
Word Meaning:
BACCARAT — (card games) A card game resembling chemin de fer with many forms, usually entailing the player(s) betting against two or three hands dealt, and also bearing some similarities to blackjack.
Definitions from Wiktionary.