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In: Statistics and Probability

Using information theory, If there are 8 gold bars that look the same, if a fake...

Using information theory, If there are 8 gold bars that look the same, if a fake gold bar has a different but unknown weight that could be more or less, than what is the most efficient way to use balance to identify the fake gold bar?

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Expert Solution

There are 8 coins.Take a weigt measure of measuring both sides. Four coins are put on each side.

One side is heavier than the other. If this is the case, remove the coins from the lighter side, move two coins from the heavier side to thFour coins are put on each side.

One side is heavier than the other. If this is the case, remove 4 coins from the lighter side, move 2 coins from the heavier side to the other heavier side.If one of the side is heavier then gold present in the heavier side and then measure the weight of the heavier side and you will get heavier gold. 2: In the case of lighter gold ,put the 4 gold on each side ,kepp the 4 golds which are heavier aside.Put 2 golds of ligher 4 golds oneach side of weight measure and take the 2 golds which are heavier .keep them aside.Now the final move is put 1 gold of the lighter one each side .The gold with lighter weight os your lighter gold .

orchestra answered 1 year ago
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