There is disclosed a method of determining a result of an electronic game in order to allow fixed odds betting on the result. The method comprises providing a mechanical ball draw machine (3) configured to draw one ball at a time from a set of balls also provided to said mechanical ball machine (3). The set of balls consists of a plurality of subsets of one or more balls, at least some of the subsets having different numbers of balls and each ball being identifiable as belonging to a subset, whereby the relative numbers of balls in the subsets determine the likelihood of a ball from a subset being drawn thus allowing fixed odds betting to be carried out on a result is determined on the basis of subset identity. The method further comprises drawing a ball or balls using the mechanical ball machine (3) until sufficient balls have been drawn to enable a result to be determined, identifying the subset to which each said ball or balls belongs, and determining the result of the electronic game from the identified subset or subsets.