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Balance puzzle — rules and where to play

BALANCE PUZZLE · Counterfeit coin / Weighing puzzle

One ball differs in weight among identical-looking ones; find it in the fewest weighings. A classic entry to information theory.

Origin
—
Difficulty
★★★★★ 2–4 / 5
Time
5–20 min
Grid
—
Sites
2

Rules

  1. One ball is lighter or heavier (known or unknown); all others weigh the same.
  2. Each weighing yields only three outcomes: left heavy, right heavy, balanced.
  3. Locate the odd ball and (usually) its direction in the fewest weighings.

How to start

Think ternary

One weighing gives 3 outcomes; n weighings distinguish up to 3^n cases — size groups by that.

Split evenly into three

Make the three outcomes lead to equal-sized unsolved sets.

Track each ball's history

Left/right/off the scale each time lets you backtrack its possible weight.

Where players get stuck

  • Splitting in two not three, wasting the "balanced" outcome.
  • Finding the ball but not its direction when asked for both.

Play Balance puzzle

2 sites

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About this page
  • Last updated 2026-09-22
  • Source Curated compilation of established puzzle rules and listed third-party play sites
  • Audience Players learning Balance puzzle rules or looking for online sites to play
  • Covers Rules summary, how to start, common pitfalls, and the dedicated play sites listed on this page
  • Does not cover Hosted puzzles, worked solutions, official contest rankings, third-party uptime or pricing guarantees
  • Not advice This page is puzzle reference content only. It does not constitute financial, legal, medical or other professional advice.
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