The gaming system operates a lottery system for a single state, or includes multiple state systems, each having many different instant-winner ticket games and distributed ticket dispensers. A supervisory computer system is provided. A jackpot is provided which increases with the sale of each ticket in the system. The dispensers have code readers which are used to detect the sale of each ticket. The game is won when the code number detected by one of the code readers matches the code for a jackpot winner.