To provide a game machine which has its running improved by not fixing but varying the game number till a ceiling is reached.

If a special winning combination is missed in a general game state, the game shifts to an RT1 game state, and a replay 1, a replay 2 and a special replay and then becomes a display combination so that the game state transits stepwise to an RT2 game state, an RT3 game state and an RT4 game state, which becomes a ceiling at a very high replay probability. For the RT1 game state, the RT2 game state and the RT3 game state, the internal winning probability of a normal replay becomes higher in the recited order.