In a T cell receptor transgenic mouse model of thymic selection, the efficiency of selection of the transgenic alpha beta heterodimer is significantly enhanced in animals that express higher densities of the relevant major histocompatibility complex molecule (I-Ek/b). These results imply that there is a stochastic component to positive selection in the thymus. Allelic variants of the original selecting I-Ek molecule are either less efficient (E alpha k:E beta b) or incapable (E alpha k:E beta s and I-Ed) of mediating the selection of transgenic alpha beta + T cells. Two of these three I-E variants appear to differ from I-Ek in amino acid residues of the peptide binding site and not in residues capable of contacting the T cell receptor, suggesting that specific peptides, or conformations of peptides, play a role in positive selection. In contrast, mice transgenic for only the beta chain of this T cell receptor show selection for CD4+ T cells in the presence of all four I-E variants tested.