Question

Given 12 balls, one and only one of them has different weight. With a balance, how...

Given 12 balls, one and only one of them has different weight. With a balance, how to use fewest measures to make sure to find out the different one?

Hint: for the first measurement, one can calculate the information content and entropy of all possibilities and choose the measurement method with maximal entropy. Then the second measurement, etc.

Please answer the question by information entropy method

Science   Advanced-Physics   
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