2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/14083A solid sphere is considered, with a uniformly distributed infinity of points. Two points being pseudorandomly chosen, the analytical probability density that their separation have a given value is computed, for three types of the underlying geometry: $E^3, H^3$ and $S^3$. Figures, graphs and histograms to complement this short note are given.6 pages, LaTeXAstrophysicstext