Now put the 2 groups of 3 coins on the scale.

Fake coin riddle.

There are the two different variants of the puzzle given below. Given a two pan fair balance and n identically looking coins out of which only one coin is lighter or heavier. So take the 2 coins from that group and use the scale to determine the. Fake old coin. The fake coins weigh exactly 1 ounce each while the real gold coins weigh 1 01 ounces. Just by his description over the phone they knew it was fake.

Let us solve the classic fake coin puzzle using decision trees. Both groups weigh the same. How can you identify the fake coin by using the scale only twice. Next riddle yacht ladder. So if you had a balance scale and you knew which coin was the bogus coin you would put it on one side of the scale a good coin on the other side and it would be immediately obvious from this imbalance which was the phony coin because it s heavier than a real coin. This means that the counterfeit coin is in the group with 2 coins.

Because it s a fake it weighs a couple of grams more than a real coin. There is no way that the person who minted the coin would have known what was going to happen in the future. There is a large scale with enough room for all the sacks in the vault but as soon as you weigh something it. I am providing description of both the puzzles below try to solve on your own assume n 8. An archaeologist found a coin dated 81 b c. Split the coins into 3 groups 2 groups with 3 coins each and 1 group with 2 coins.

And tried to sell it to a museum. Show that the scale can be used only three times to always find the fake coin.