Abstract: A lottery machine comprising a display which can display combinations of indicia selected from a predetermined set of such combinations, and a control device arranged to sequentially select game results from a predetermined set of game results and to display an indicia combination corresponding to the selected result on the display. Each game on the machine is initiated by a player and can only be initiated after the player has established a credit in the machine. At the commencement of operation of the machine, or when a previous set of game results have all been used, the control device sequentially selects each possible game result for the next series of games to be played and randomly allocates the results to game numbers in the series in order to produce a new set of predetermined game results.