A gaming machine displays a number of symbol locations with a respective graphic symbol at each symbol location. Each symbol location is shown on a display system which may comprise a set of mechanical reels or reels simulated on a video display device. The display system is capable of displaying a target symbol or any other one of a number of graphic symbols included in a group of presentation symbols. In response to a first player input, each of the number of symbol locations is caused to conduct a respective symbol change process one or more times to change the graphic symbol included at each respective symbol location. At least some of the awards available in the game are based at least in part on the absence of the target symbol at one or more of the number of symbol locations.