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Can you solve the prisoner hat riddle

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PRESENTATION OUTLINE

You and 9 other people have been captured by super intelligent alien overlords.

The aliens think humans look quite tasty, but their civilisation Forbids eating highly logical and cooperative beings.

Photo by acidpix

Unfortunatly, they’re not sure wether you qualify, so they decide to give you all a test

Photo by KJGarbutt

Through it’s universal translator, the alien guarding, tell you the following:

Photo by lan deng

You will be place in a single file line, facing forward in size order, So that each of you can see everyone lined up ahead of you.

Photo by Ian Sane

You will not be able to look behind you or step out of the line.

Photo by FastLizard4

Each of you will either have a black or white hat on your head, assigned randomly, and I won’t tell you how many of each colour there are.

When I say to begin, each of you must guess the colour of your hat, starting with in the back and moving up the line.

Photo by Trey Ratcliff