In one primary embodiment of the present invention, the player must wager a number of paylines to qualify for one of a plurality of bonus games. The highest required number of paylines qualifies the player to play the main or most elaborate bonus game. The main or first bonus game preferably has the highest average payout per credit wagered. This provides an incentive to the player to play the highest required number of paylines. In an embodiment, any number of paylines less than the highest required number or max lines qualifies the player to play a second bonus game. The second bonus game has an average payout per credit wagered that is slightly less than the main bonus game. This allows the incentive or disparity between payouts to be set by the game designer so that the player not wagering max lines or the highest required number is not overly disadvantaged.