The present invention provides an improved Keno game, which provides an opportunity for the player to win free games. In Keno, the player chooses an amount of numbers to play, usually one to fifteen, and plays against the house. The game or house randomly generates numbers, usually twenty numbers from the numbers one to eighty. The number of matches generated and the amount of numbers the player plays determines whether and how much the player wins. One or more of the random generations is also a free game generation in the present invention, which provides one or more free Keno games to the player if the free game generation results in a match.