Allelic frequencies and their confidence intervals were obtained for eight independent VNTR loci from a sample of more than 75 Utah Caucasians. Using high-resolution agarose gel electrophoresis, we were able to resolve alleles at the D17S5 locus that differed by only one repeating unit; it was therefore possible to name the alleles according to the number of repeating units each contained. Two a priori probabilities were calculated for each VNTR locus separately and for all eight loci jointly: (i) the "power of exclusion" for an alleged father/mother/child trio and for an alleged parent/child duo, and (ii) the "probability of matching" when two unrelated individuals or two siblings are genotyped.