An apparatus for directly determining an outcome of a game which identifies this outcome by displaying a series of indicia that correspond to the outcome. The apparatus includes a random number generator which generates a random number from a predetermined set thereof. The random number is scaled to obtain an outcome identifier from a set of outcome identifiers. The set of outcome identifiers are divided into a plurality of subsets, with each subset corresponding to one win/loss tier. The outcome identifier is evaluated to determine which of the outcomes it corresponds to by identifying the subset, into which it falls. Once the outcome is identified, a corresponding win/loss tier is identified. Each win/loss tier is associated with a unique reel combination table, each of which includes at least one series of indicia to be displayed as a reel combination corresponding to the chosen outcome. Once the win/loss tier is identified, the random number is again scaled to obtain an index into the corresponding reel combination table. The table is accessed and the indexed series of indicia are displayed.