Puzzle time - prisoners and hats
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@lufins-dad said in Puzzle time - prisoners and hats:
8% of men are colorblind and .5% of women are.
Mens' eyes matter!
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@jon-nyc said in Puzzle time - prisoners and hats:
For the two color case - black and white:
The last guy in line, who sees all hats except his own, calls out “black”, say, to communicate he can see an odd number of black hats. Otherwise, he says “white”, meaning he can see an even number of black hats.
He of course has only a chance of guessing his own color.
But the next guy will either see the same parity (odd/even) of black hats indicated in the first answer, or not. If he does, he can assume he has a white hat, if not he can assume black. Next in line same, after taking into account any ‘parity switch’ indicated by the second man’s stated color.
By that method all but the last in line (first guy to call his color) are freed.
Is there an analogous method for n colors?
Big hint: I can use slightly different words to describe this very same method and it will scale to n colors.
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When you shake someone's deep sense of self-worth, leaving a scar in their ego, they will persistently try to diminish you through petty arguments & obsessive captious criticism of your actions, just to soothe the wound.
- Nassim Nicholas Taleb
