(June 17, 2017 at 5:29 pm)Alex K Wrote: Three prisoners are bound to three stakes which are standing in a row such that the first prisoner can see the two in front of him, the second can only see the third, and the third can't see anyone.
The chieftain who captured them shows them 5 feathers, three of them black and two of them white. He then takes three of them randomly and attaches them one each to the prisoners' hats without them seeing, hiding the remaining ones. He says: if one of you can find out the color of his own feather, you are all free. If you say the wrong color, you all die.
Silence ensues, but after quite a while, one of the prisoners yells: I got it!
Question: Which prisoner is it and what is his color?
It's the first prisoner who can see the other two. His hat's feather is black. He knows because he sees two white feathers on the hats of the other two. He definitely got lucky with that random arrangement.
I don't believe you. Get over it.
