Gaming machine, system, and method for introducing skill-dependent play in a wagering game

A method includes receiving a skill level input specifying a first skill level from a set of different skill levels, and in response to the skill level input, placing the gaming machine in a first state. Each respective skill level in the set of different skill levels is correlated to a different respective proportion between a player skill-dependent component and random component of the wagering game. Thus placing the gaming machine in the first state has the effect of setting that skill-dependent to random proportion to a desired value. After placing the gaming machine in the first state, the method includes receiving player inputs for which a prize may ultimately be awarded. This prize is determined by (i) any player inputs included in the player input set for the player skill-dependent component and (ii) the random component in an award proportion based on the desired value.