Abstract: The present invention relates in particular to an improved gaming machine wherein the probability of winning combinations occurring may be altered with regard to conventional machines without changing the number of actual symbols or indicia available. This is carried out by assigning to each indicia on a reel or disc a particular random number from a plurality of available random numbers. The plurality of available numbers, one for each indicia, are divided into a plurality of subset tables. Prior to selecting a random number for choosing a particular indica, a selection of a subset table is made, preferably in a weighted manner, and the random number is then chosen from the particular subset table.