A system for concurrent gaming comprises a gaming server and a client computer connected to the gaming server by means of an open communication network. The gaming server is instructable by the client to randomly select multiple, concurrent hands of playing cards to a player in a turn of a game of Caribbean Stud poker. The compositions of the multiple, randomly selected concurrent hands is transmitted by the gaming server along the communication network to the client computer where they are displayed to the player, under program control as part of a simulation of the game of Caribbean Stud poker. Gaming server also generates the gaming server also randomly selects a hand associated with a dealer in the game, the composition of the dealer's hand being also transmitted by the gaming server to the client computer and displayed as part of the simulation. The player then makes desired game play decisions, in turn, as a function of each one of the, multiple concurrent hands and the dealer's hand.