 Theorem (Condorcet’s jury theorem): For each state of the world \(x \in \{-1,1\}\), the probability of a correct majority decision, \(Pr(V = x | X = x)\), is greater than each individual’s probability of a correct vote, \(Pr(V_i = x | X = x)\), and converges to 1, as the number of individuals \(n\)  increases.[1]