A pair ( varphi,psi) is called an isoclinism between groups G and H if varphi is an isomorphism from G/Z(G) to H/Z(H), psi is also an isomorphism from G to H and psi ([g_1,g_2])=[h_1,h_2]whenever h_i in varphi (g_i Z(G)), for all g_i in G, h_i in H, i in {1,2 }. In this talk, we will consider the probability that a randomly ordered n-tuples of elements in a group G be a mutually commuting n-tuples and state some relations between the notion of the isoclinism and the probability.

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