The Counterfeit Dozen
Brain teaserSkill: Insight
Twelve coins are visually indistinguishable. Eleven have exactly the same weight; the remaining coin is either heavier or lighter, but you do not know which. You have a two-pan balance scale that reports only whether the left pan falls, the right pan falls, or the pans balance. No reference weights or additional coins are available.
You may choose later weighings after seeing earlier results. Your method must always identify the unusual coin and determine whether it is heavier or lighter.
What is the smallest number of balance-scale weighings that guarantees success?
Your answer
What is the minimum number of weighings required?
Type your answer. Right or wrong, the full solution opens after your first try.
Hints
Hint 1
Hint 2Opens after hint 1
Hint 3Opens after hint 2
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