We compute the probability of finding a particular relationship between points in a multiobjective space of arbitrary dimension. The probability is expressed as an integral relation and is represented as a graph where vertices and edges express the relationship between points. A method to compute the values of the diagrams (and hence the probabilities) via diagram manipulation is presented. Probabilities are computed for both labeled and unlabeled diagrams, and the probability values for all multiobjective diagrams on three or fewer points is provided as an Appendix.