SUMMARYThe random migration of meiotic products to give binucleate spores in secondarily homothallic basidiomycetes gives frequencies of nuclear association which have not previously been recognised.For a single segregating factor in two-spored species, the probability of a basidiospore receiving unlike nuclei is twice that of it receiving like nuclei.Consequently random spore progenies can be expected to yield genotypic ratios of 1:4: 1 with the heteroallelic class predominating. If eight nuclei are present in the basidia of four-spored species then random migration would favour unlike over like pairing in the proportion 4:3; this would give a genotypic ratio of 3 :8:3. Extrapolations are made for two and n factors, and the expected phenotypic ratios for mating-type factors, auxotrophic markers and sporophore characters are derived. Second division segregation and chromosome mapping are also considered.Random nuclear migration in secondarily homothallic basidiomycetes favours heteroallelism and provides a simple explanation for the regularly observed preponderance of isolates heteroallelic for mating-type.