--- title: "Are Two Heads Better Than One? · eieio.games" url: https://daily.dev/posts/are-two-heads-better-than-one-eieio-games-knt1hkjtq source_url: https://eieio.games/blog/are-two-heads-better-than-one type: article source: "eieio.games" published: 2026-03-31T12:29:26.611Z updated: 2026-03-31T12:52:40.643Z tags: ["python", "statistics"] reading_time: 9 upvotes: 0 comments: 0 language: en --- > ## Documentation Index > Fetch the complete documentation index at: https://daily.dev/llms.txt > Use this file to discover all available pages before exploring further. # Are Two Heads Better Than One? · eieio.games **[eieio.games](https://daily.dev/sources/eieio-games)** · 9 min read · 0 upvotes · 0 comments ## Summary A probability puzzle explores whether adding a second unreliable witness (who lies 20% of the time) improves your ability to guess a coin flip. Surprisingly, it doesn't — going from one to two friends keeps accuracy at exactly 80%. The reason: when the two friends disagree (32% of the time), you gain zero information, perfectly offsetting the benefit of when they agree. Adding a third friend (odd number) does improve accuracy to 90%, but a fourth friend again adds nothing due to possible 2-2 ties. This pattern mirrors Condorcet's jury theorem, which explicitly sidesteps even-voter cases for the same reason. The insight is illustrated with Python simulation code and step-by-step probability math. ## Full article daily.dev links to this article rather than hosting it. Read it at the original source: ## Similar posts on daily.dev - [Are Two Heads Better Than One? · eieio.games](https://daily.dev/posts/are-two-heads-better-than-one-eieio-games-nifija9lg) · Hacker News · 1 upvotes · 0 comments - [When it comes to predicting people’s preferences, it pays to consider “the power of three”](https://daily.dev/posts/when-it-comes-to-predicting-people-s-preferences-it-pays-to-consider-the-power-of-three--vp3etwhsn) · MIT News · 0 upvotes · 0 comments --- Tags: [#python](https://daily.dev/tags/python), [#statistics](https://daily.dev/tags/statistics) [View this post on daily.dev](https://daily.dev/posts/are-two-heads-better-than-one-eieio-games-knt1hkjtq)