2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107411We investigate the threshold widths of some symmetric properties which range asymptotically between 1/\sqrt{n} and 1/(log n). These properties are built using a combination of failure sets arising from reliability theory. This combination of sets is simply called a product. Some general results on the threshold width of the product of two sets A and B in terms of the threshold locations and widths of A and B are provided.20 pagesProbability60F20 (primary); 60E15, 60K10 (secondary)text