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Two-Weighing Coin Puzzle

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Your question is Two-Weighing Coin Puzzle. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

You have eight identical-looking coins, but one is counterfeit and weighs slightly less than the others. Using a balance scale, how can you find the counterfeit coin in exactly two weighings?