Voting & Fairness
Math · Intermediate · Lesson 7 of 7

The Wisdom of Crowds

Condorcet’s jury theorem

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • If each voter is right with p > ½ independently, the majority does better.
  • Reliability approaches certainty as the group grows (41 voters at p = 0.6 give 90%).
  • Correlated opinions or p < ½ destroy the effect.

Steps

  1. Many imperfect judges
  2. Three jurors
  3. How big a jury?
  4. Worse than a coin
  5. The hidden assumption
  6. Five good judges