2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56675We review results about the density of typical lattices in $R^n.$ They state that such density is of the order of $2^{-n}.$ We then obtain similar results for random packings in $R^n$: after taking suitably a fraction $ν$ of a typical random packing $σ$, the resulting packing $τ$ has density $C(ν) 2^{-n},$ with a reasonable $C(ν).$ We obtain estimates on $C(ν).$Mathematical PhysicsCombinatorics82B05Random Lattices and Random Sphere Packings: Typical Propertiestext