Nested commit/reveal sequences using randomized inputs from each participant in a gaming transaction (e.g., the house and each player) may be employed to provide a selection of outcome or outcomes that can be verified by each participant as free from cheating. In general, techniques may be employed in a variety of distributed gaming transaction environments and as a verification facility for any of a wide variety of games in which the risk of player collusion can be eliminated. Nonetheless, several variations on a distributed card dealing method are illustrative and will be appreciated by persons of ordinary skill in the art as applicable in other gaming environments, including games employing outcomes denominated in die (or dice) rolls, coin toss, wheel spins, blind selection or other ostensibly random selection of an outcome from a predefined set thereof.