Previously, a tissue-specific fate map was compiled for the gastrula stage of the zebrafish embryo, indicating that development subsequent to this stage follows a reproducible pattern. Here it is shown that each early zebrafish blastomere normally contributes to a subset of the gastrula and thus gives rise to a limited array of tissues. However, the final contribution that any early blastomere makes to the fate map in the gastrula cannot be predicted because of variability in both the position of the future dorsoventral axis with respect to the early cleavage blastomeres and the scattering of daughter cells as the gastrula is formed. Therefore, early cell divisions of the zebrafish embryo cannot reproducibly segregate determinants of tissue fates.