1. A gaming system configured to conduct a casino game at a casino table with a dealer and one or more players, each of the one or more players operating a computing device in communication with the gaming system, the gaming system comprising: a card-handling device configured to randomize one or more decks of cards; a card-recognition system configured to read card information of cards under control of the card-handling device, the card information including card rank and card suit; a camera configured to capture video image data of the casino game; game-logic circuitry configured to: direct the card-handling device to dispense cards of a player hand to each of the one or more players; receive, from the camera, the card information associated with dispensed the cards and the video image data; transmit, to the computing device operated by one of the one or more players, the video image data and card information associated with the player hand of the one player; and receive, from an input device of the computing device operated by the one player, an input indicative of an election responsive to the transmitted card information.