Systems and methods for providing a wagering game which involve providing a plurality of game pieces, intermediate game events, and intermediate game event modifiers for each of the game pieces, wherein each intermediate game event modifier is associated with a distinct intermediate game event; receiving one or more wagers relating to a final game outcome; randomly generating a value for each of the distinct intermediate game events; determining an intermediate game event result for each game piece, wherein the intermediate game event result includes the randomly generated value as modified by the intermediate game event modifier for the distinct intermediate game event; determining a final game outcome for each game piece, wherein the final game outcome is the total of each of the distinct intermediate game event results; and resolving the one or more wagers received based on the final game outcome.