There are ten dwarfs in a dark cave. Inside the cave are ten hats (five red and five blue), but the dwarfs do not know how many of the ten hats are red or blue. Each dwarf takes a hat and must leave the cave and then organize themselves in separate groups of red- and blue-hatted dwarfs. If there is one dwarf with a wrong-colored hat in the wrong group - all dwarfs explode, sadly.
Remember, the dwarfs do not know how many of the ten hats are colored red and blue. They also do not know what color hat they have on their head. They are also not allowed to communicate with one another in any way once they leave the cave. The dwarfs can come out individually or as a group. The dwarfs are smart and discuss a fool-proof way in the cave to divide their group into red-hatted and blue-hatted dwarfs. What is it?
Remember, the dwarfs do not know how many of the ten hats are colored red and blue. They also do not know what color hat they have on their head. They are also not allowed to communicate with one another in any way once they leave the cave. The dwarfs can come out individually or as a group. The dwarfs are smart and discuss a fool-proof way in the cave to divide their group into red-hatted and blue-hatted dwarfs. What is it?
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