A gaming device having a bonus game, where one embodiment of the gaming device includes a display device; a processor that controls the display device; and several selections including awards and at least one accumulated award. The gaming device provides a player with a number of picks to start a game. The player picks selections attempting to obtain awards. If the player picks an accumulated award, the player receives two or more awards that are associated with selections preferably adjacent to the accumulated award. The player continues to pick selections until there are no picks remaining. In another embodiment, the selections include at least one terminator where a player continues to pick selections until the player picks a terminator or until there are no picks remaining.