2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122603The probability that $m$ randomly chosen elements of a finite power associative loop $C$ have prescribed orders and generate $C$ is calculated in terms of certain constants related to the action of $Aut(C)$ on the subloop lattice of $C$. As an illustration, all meaningful probabilities of random generation by elements of given orders are found for the smallest nonassociative simple Moufang loop.7 pagesGroup Theory20N05, 20F05, 06B99text