Abstract: A random number generator comprising a housing with a mixing chamber, an air chamber, and an air distribution plate disposed between the mixing chamber and the air chamber. A plurality of numbered balls are disposed within the mixing chamber. An upflow air means for providing an upflow air stream is disposed within the air chamber and is capable of mixing and propelling the balls upward within the mixing chamber. A plurality of ball collection columns are attached to the housing, preferably near the top of the housing. Each ball collection column comprises a vacuum-creating means for withdrawing at least one of the balls from the mixing chamber into the ball collection column and a retaining means for retaining the ball within the ball collection column; whereby a combination of numbered balls may be collected within the ball collection columns so as to provide a random list of numbers.