1. A method of playing a wagering game on a computer system comprising a player placing a wager in a wagering machine having a processor, the wagering machine displaying at least a single payline of multiple frames influenced by at least two distinct indicators, displaying a first set of first symbols for each frame, which first symbols are to be considered in determining wagering outcomes, the player electing to keep or discard at least one first symbol from the first set of symbols, the processor providing and causing to be displayed replacement first symbols for any discarded first symbols to provide a second set of first symbols, the processor providing and causing to be displayed a third set of second symbols, with one second symbol for each first symbol in the second set of first symbols, the player electing to keep or discard at least one second symbol from the third set of second symbols, the processor providing and causing to be displayed replacement second symbols for any discarded second symbols to form a final fourth set of displayed symbols, and the processor resolving the wager on the basis of the first and second symbols in the fourth set of symbols.