2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109072A grid poset -- or grid for short -- is a product of chains. We ask, what does a random linear extension of a grid look like? In particular, we show that the average "jump number," i.e., the number of times that two consecutive elements in a linear extension are incomparable in the poset, is close to its maximum possible value. The techniques employed rely on entropy arguments. We finish with several interesting questions about this wide-open area.13 pages, no figuresCombinatorics60C05 (Primary) 05A16, 06A07 (Secondary)text