  In this paper we introduce and study the conjugacy ratio of a finitely
generated group, which is the limit at infinity of the quotient of the
conjugacy and standard growth functions. We conjecture that the conjugacy ratio
is $0$ for all groups except the virtually abelian ones, and confirm this
conjecture for certain residually finite groups of subexponential growth,
hyperbolic groups, right-angled Artin groups, and the lamplighter group.
