An apparatus and method for generating one or more pools or sets of seeds for use in a central determination gaming system. In one embodiment of the present invention, a processor of the apparatus or seed generator randomly generates a predetermined number of random number seeds. After the predetermined number of seeds are generated, the processor simulates the game outcome value that each generated seed ultimately determines. Having simulated a game outcome value for each generated seed, the processor determines if the set of seeds satisfies a required condition or criteria. If the required conditions or criteria are satisfied, the set is complete and ready for use in a central determination gaming system. If the required conditions or criteria are not satisfied, the processor modifies the generated set of seeds until the required conditions or criteria are satisfied.