A gaming system having a first skill, partial skill, or pseudo skill based game having a plurality of individually activatable designated components and a plurality of second chance based games each respectively associated with a different one of the individually activatable components of the skill based game. When each designated component of the first game is activated through one or player inputs, a corresponding chance based game associated with that designated component is activated. Each chance based game randomly determines whether the player wins an award. In one embodiment, the likelihood of activating each designated component is different and the chance based game associated with each different designated component is different.