1. A gaming system for providing a game to a player, the game being associated with an independent event having a plurality of participants, comprising: a display device configured to display the event, the event having an interim stage and an end, the participants in the event having an interim ranking associated with the interim stage and a final ranking associated with the end of the event; a random indicia generator configured to randomly generate a plurality of randomly generated indicia; and a processor in communication with the random indicia generator and the display device, the processor configured to associate each of the randomly generated indicia with a respective participant as a function of the interim ranking of the participants in order in which the randomly generated indicia are generated, the randomly generated indicia being configured to remain associated with the respective participants as the participants' rankings change during the event, the processor being further configured to allow a player to place a wager on the game, to establish a plurality of player indicia and compare the plurality of player indicia with the randomly generated indicia as a function of the final ranking, and to award a prize based on the comparison, wherein the processor informs the player of the association between the randomly generated indicia and the participants after the plurality of player indicia are established.