The riddle of the 4 trolls

Started Aug 18, 2009 | Discussions thread
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Bas Hamstra
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The riddle of the 4 trolls
Aug 18, 2009

Once upon a time there were 4 smart trolls, they were captured and buried till their head in the ground, see picture below. The fourth troll is behind a brick wall and can not be seen by the others. Neither troll knows the colors of their own hat, but they know red and blue hats are evenly distributed between the four of them.

One troll must guess the color of his hat. If guessed wrong, they will all be shot. If right, they are all free. The first word spoken must be the color of the speaker's own hat (or they will all be shot). No other communication possible. Do they have a fair chance?

Bas

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