A bonus game for a gaming machine with two types of awards. The bonus game includes a plurality of selection elements, a number of which are associated with an award of coin(s) or credit(s) and a number of which are associated with an end-bonus penalty. The game is played by selecting a number of the selection elements, one at a time, until encountering a selection element associated with an end-bonus penalty which ends the bonus game. A first award type in the bonus game is a selection-based award in which the player is credited an amount of coin(s) or credit(s) based on the value (or cumulative value) of the selection elements selected in the bonus game. A second award type in the bonus game is a quantity-based award in which the player is credited an amount of coin(s) or credit(s) based on the number of successful trials of the bonus game.