Condorcet's jury theorem states that given a group of voters (a "jury") independently choosing by majority vote between a correct outcome with probability
and an incorrect one with probability 
:
1. If 
(so that each voter is more likely to vote correctly that incorrectly), adding more
voters increases the probability that the majority chooses correctly and the probability
of a correct decision approaches 1 as the number of voters increases;
2. If 
(so that each voter is less likely to vote incorrectly than correctly), adding more
voters decreases the probability that the majority chooses correctly and the probability
of a correct decision is maximized for a jury of size one.
