A gaming machine includes a player interface and an electronic controller arranged to control play of a game on the player interface. Prior to commencement of a bonus round, the electronic controller is arranged to display on the player interface a range of bonus features. Then in response to receiving via the player interface a player-selected bonus feature, the electronic controller determines a number of bonus games to be awarded to the player in the bonus round. The determination of the number of bonus games is randomized and is equalized so that a return to player percentage is at least equal to a predetermined return to player. The gaming machine is further arranged such that the player selected bonus feature applies to each and every awarded bonus game in the bonus round.