2. Monsters and Hats II
Setup
Four prisoners: A, B, C in a row facing forward; D behind a wall (sees nothing).
Two hats are Red, two are Black.
Rules
- Each sees only the hats in front of them
- No communication allowed
- If any one correctly identifies their hat with certainty, all go free
Question
Is there a strategy that guarantees freedom?
Answer format
Yes or No.
Your Answer
Need help?
Hint 1
Monster A can see both B and C's hats. What happens if B and C have the same color?
Hint 2
If A stays silent, what can B deduce about the situation?
Hint 3
The strategy relies on using silence as information.