Task about caps

Once, the three wise men decided to find out which of them is the smartest. They argued for a long time, argued, and one man walked past them. The sages have him and ask: - Can you judge which of us is the smartest? “Of course,” the man answered and did:



He put the wise men in a circle so that each saw the other two and showed them 5 caps - 3 black and 2 white. I asked them to close their eyes and put a black cap on everyone's head. Two whites removed.



And he turned to the sages: - It's simple. Who will tell me what color the cap is on his head and justifies it logically, he won. You can not talk, remove the cap and resort to outside help. Only rationale.



One sage could.

')

How?



Do not hit hard, this is my first habratopik :)