A mystery-bingo jackpot provides a bingo triggered jackpot with a maximum or upper limit. In one or more embodiments, the jackpot is guaranteed to be paid out before the jackpot increments beyond the upper limit. This allows the upper limit to published to entice players to play one or more base games associated with the jackpot. A plurality of trigger values may be generated to trigger bingo ball draws. The trigger values may be between a lower limit and the upper limit to ensure that a winning outcome occurs before the upper limit is reached. One or multiple jackpots may be offered.