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0 sats \ 2 replies \ @SimpleStacker 7 Nov \ on: [Daily puzzle] Prisoner Hats science
I'm a bit confused. Is my descripction below accurate?
Prisoner 4 cannot see anyone
Prisoner 3 can see prisoners 2 and 1
Prisoner 2 can see Prisoner 1
Prisoner 1 cannot see anyone
The order in which they are asked is: 4, 3, 2, 1
Yes, this description is accurate.
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If the configuration is BBWW or WWBB, then prisoner 3 answers, B or W, respectively.
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If the configuration is WBWB or BWWB, then prisoner 2 answers W
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If the configuration is WBBW or BWBW, then prisoner 2 answers B
Logic:
- 4 will not answer because he has no info
- If 3 sees two of the same color, he must have the opposite color
- If the process gets to 2, then he knows that he and 1 have opposite colors.
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