On the commutativity degree in finite Moufang loops

‎The commutativity degree‎, ‎‎, ‎of a finite group G G (i.e‎. ‎the probability that two (randomly chosen) elements of G Gcommute with respect to its operation)) has been studied well by many authors‎. ‎It is well-known that the best upper bound for Pr(G) Pr(G) is 58 58 for a finite non-abelian group G G‎. ‎In this paper‎, ‎we will define the same concept for a finite non--abelian Moufang loop M M and try to give a best upper bound for Pr(M) Pr(M)‎. ‎We will prove that for a well-known class of finite Moufang loops‎, ‎named Chein loops‎, ‎and its modifications‎, ‎this best upper bound is 2332 2332‎. ‎So‎, ‎our conjecture is that for any finite Moufang loop M M‎, ‎Pr(M)≤2332 Pr(M)≤2332‎.