The standard single-scattering formula gives the experimental extended X-ray absorption fine-structure (EXAFS) cross section as function of the wavenumber in terms of a set of model parameters, including the average distances of the atoms involved in producing the EXAFS signal. To solve the inverse problem of determining the model parameters from the cross section, measured over some range of wavenumbers, a Bayesian approach is used. It allows the subspace of the model-parameter space in which the data essentially determine the model parameters to be determined.