University of Isfahan International Journal of Group Theory 2251-7650 9 1 2020 03 01 A probabilistic version of a theorem of László Kovács and Hyo-Seob Sim 1 6 23073 10.22108/ijgt.2018.112531.1496 EN Andrea Lucchini Dipartimento di Matematica Università di Padova Mariapia Moscatiello Dipartimento di Matematica Università di Padova Journal Article 2018 08 14 For a finite group group‎, ‎denote by $\mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group‎. ‎{Assume} that for every $p\in \pi(G)$ there exists $G_p\leq G$ such that $p$ does not divide $|G:G_p|$ and ${\mathcal V}(G_p)\leq d.$ Then ${\mathcal V}(G)\leq d+7.$‎ ‎‎‎Finite soluble groups generation of finite groups https://ijgt.ui.ac.ir/article_23073_26232b99d2d66bbcad0f18ccab2e0578.pdf