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3 Brilliant People

There are three genii standing in a row in a room facing the same direction. Thus, the genius at one end can see the two genii ahead of him, the genius in the middle can only see the one genius ahead of him and the genius at the front cannot see anybody.

You tell the genii that you have 5 hats: 3 red hats, and 2 white hats.
You then blindfold them, randomly place three of the hats on their heads and hide the remaining hats. You remove their blindfolds and ask them to say the colour of their hats.

The genius at the back says “I don’t know what colour my hat is.”
The genius in the middle says “I don’t know what colour my hat is.”
The genius at the front says “My hat is ______.”

Fill in the blank.

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Discussion

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ivansmashem 3 months ago contains spoiler (show)
ivansmashem 3 months ago contains spoiler (show)
ivansmashem 3 months ago contains spoiler (show)
ivansmashem 3 months ago

The explanation given by the poster is a little lacking. Click “show” on my other comments to see a very detailed explanation.

coquettish_girl about 1 year ago

I had it figured out rather fast. I thought it over a few times, however, I knew my initial instincts were right. I tend not to enjoy these puzzles very much. They have a tendency to drive an already over-analytical thinker mad.

tsion about 1 year ago

I had the answer for a long time and yet still kept pondering it hahaha

kash about 1 year ago contains spoiler (show)
copter about 1 year ago

this is an amazing problem if you take the time to read it. i certainly couldn’t get it at first.