A method and system for conducting an interactive lottery game between players and a lottery gaming organization are provided. Player game indicia are displayed to the player on a graphical user interface along with separately displayed game indicia assigned to the gaming organization for play of the game. The player selects one of the game indicia via the user interface, with the player's selection designated on the user interface without being revealed to the gaming organization. The gaming organization subsequently randomly selects one of the game indicia, which is displayed to the player on the user interface. The system determines whether the player-selected game indicia match predetermined criteria as a function of the randomly selected game indicia. The steps are repeated until no game indicia remain or no further matches are possible.