Duplicate hands are dealt in a remote game of poker or other card game of chance. Simulated cards or game pieces are dealt to players with the order of suits changed for each player. A map is maintained in a computer memory between a reference set of indices corresponding to card suits, and differently-ordered sets of playing suits for dealing in the game. A reference game is maintained at a server computer to track game status according to the reference set of indices. Game play is translated between the reference game and individual playing suits so that players are unaware of the order of suits used for other players.