Systems and methods of operating a major progressive jackpot linked to wagering games having different jackpot triggers with different probabilities. The major jackpot winning probabilities may be normalized such that players may have the substantially the same odds to win the major progressive jackpot regardless on the wagering game being played. During game play, the gaming stations may be randomly selected to participate for a chance to win the major progressive jackpot according to an eligibility probability, which may be inversely proportional to the probability of a jackpot trigger for the wagering game administered by the gaming station. Players may be informed of whether the current round of game play is eligible for the major progressive jackpot after wagers are placed and before the current round of game play.