Various bonus games for being played on a gaming machine are described. In one embodiment, a base game and bonus game are played on a video screen. The base game may consist of the random selection and display of a 5.times.3 matrix of symbols, although any size array of symbols may constitute the base game. Upon a certain outcome of the base game, all or some of the symbols in the array are replaced with values, such as different credit amounts. Each value represents a potential bonus award to the player. Various bonus games are described that select one or more displayed values as the outcome of the bonus game.