A gaming device that, after setting a count initially to zero, enables an input to be sent to the processor upon a player's selection of one of a plurality of displayed choices. After receiving the input, the game randomly generates a component from a preferably weighted database associated with the choice or with the order of the selection. The game adds the generated component to the count. The game awards the player if the updated count is below a predetermined game termination condition. The game ends if the updated count satisfies the game terminating condition. The game repeats this process until the updated count satisfies the game terminating condition.