A method for playing a game with a gaming machine includes the steps of: (a) receiving a signal indicating an instruction of starting a game; (b) starting the game; (c) executing the game; (d) displaying a plurality of symbols on a display device; (e) each time a predetermined symbol or a predetermined combination of symbols is displayed on the display device as a result of the game, adding a predetermined point; (f) if the point cumulatively added in step (e) has reached a threshold, performing a lottery to determine a specific combination of symbols; (g) setting an award for the specific combination of symbols that is larger than a normal award; and (h) if the specific combination of symbols is displayed on the display device, paying the larger award.