Hard
Geometry Riddles
22 XP

The Red Forehead

9,312 solved 69% solve rate 31% fail rate
Three wise men sit in a circle with red dots on their foreheads. Each can see the others but not their own. Told at least one has a red dot, they are asked if they know their own color. After two rounds of all saying no, on the third round, all say yes. Why?
Only 69% solve this correctly
9,312 attempts
Earn +22 XP for solving
Quick Answer & Explanation
If only 1 red,

The answer to this riddle is If only 1 red,. Difficulty: Hard · Solved by 9,312 puzzle lovers.

If only 1 red, that person would see 0 reds and know immediately. Since nobody answered round 1, there are at least 2. If 2, each red-wearer sees 1 and would know in round 2. Since nobody answered round 2, all 3 must be red.
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