A table game system for a game of chance includes a card shuffling machine for randomly selecting a single card from among a defined set of cards, the single card having indicia relevant to an outcome for the game of chance. The card shuffling machine is rotatable about an axis of rotation and includes a plurality of trays uniformly spaced about an outer periphery thereof. Each of the defined set of cards is located in a respective one of the plurality of trays. A card retrieval device is disposed adjacent the card shuffling machine and configured to at least partially remove the single card from its tray. A controller is in communication with the card retrieval device to effectuate engagement of the card retrieval device with the single card.