A gaming device including a re-initiation mode wherein the probability of extending the bonus game is increased by fixing the real or reels displaying a locking symbol on the reel. In the re-initiation mode embodiment, the gaming device reactivates some or all of the reels except the reel displaying the locking symbol for a predetermined number of additional free spins or until the reactivated reels display or Indicate a terminating symbol on the reels. The gaming device provides any outcomes associated with indicated symbols or combination of symbols. In one embodiment, if a terminating symbol is displayed on designated reels during one of the additional free spins, the gaming device re-initiates the bonus game.