1. A gaming device having a bonus game comprising: a plurality of groups of symbols; a plurality of bonus values associated with the symbols; at least one win-group outcome associated with at least one of the symbols in at least one of the groups, the win-group outcome including a plurality of the bonus values in said group; at least one termination outcome associated with at least one of the symbols in at least one of the groups; an achievement outcome; a display device which displays the symbols; and a processor in communication with the display device, which: (a) enables a player one select one symbol in each said group; (b) provides the player with the bonus values associated with the selected symbols; (c) provides the player with the win-group outcomes associated with the selected symbols; (d) terminates the bonus game if the player picks any selection having the termination outcome; and (e) provides the player with the achievement outcome if the player picks one selection in each group without picking any selection having the termination outcome.