The invention includes a system and method for a gaming device to determine when to offer a player an opportunity to play using a "jackpot only" pay table. The player may choose to accept the gaming device's offer to switch from using a conventional pay table to using a pay table that only pays top payout amounts. Play with a jackpot only pay table may only require a small wager amount as compared to play with a conventional pay table. Play with a jackpot only pay table may be automated to generate outcomes quickly to allow a player to relatively inexpensively avoid spending time playing a gaming device perceived to be in a "cold period."