Abstract: The gaming system includes a host computer, a plurality of general purpose terminal computers forming player stations remote from the host, means for providing communication between each of the terminals and the host. Each terminal has a program for generating screen graphics and sound locally in response to control data packets generated by and received from the host. The host generates random numbers for a game being played on a connected terminal within preset criteria for that game in response to data packets received from the terminal. The data packets are of variable length between 1 and 80 bytes. The host sequentially stores the minimum significant information for replaying a game, auditing and security, such as accounting data of each player at the start of each game, random numbers generated by the host, responses received from a player, and whether a game was completed.