 Asymptotic infallibility despite heterogenous competence. The asymptotic conclusion of Condorcet’s Jury Theorem remains true if UC is weakened to the existence of a fixed lower bound \(\frac{1}{2}+\epsilon\) for everyone’s competence (Paroush 1998). This assumption can be relaxed further: it suffices that the infinitely many individuals are competent on average, which allows for many incompetent  individuals[12]  (see Dietrich 2008; for related or more general results: Boland 1989; Owen, Grofman, &amp; Feld 1989; Berend &amp; Paroush 1998). Unfortunately, these variants of Condorcet’s Jury Theorem (and analogous variants of the Conditional Jury Theorem) retain only the infallibility conclusion, sacrificing growing reliability. The more problematic conclusion has been retained, one might complain.