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Count Zero


Tennis legend

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Brain Teaser
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i didnt work this out, but have been given the answer:


 


You're in a cell. You are wearing a hat but don't know what colour it is. You're taken out into a large room with lots of other people in it. You can see everyone in the room and can see that 4 people are wearing red hats while everyone else is wearing a white hat. Everyone in the room is told the following:




  • There are at least 2 people in the room wearing red hats
  • Everyday you will all be taken from your individual cells to this communal room and given a chance to guess what colour your hat is
  • If someone attempts a guess, and guesses wrong, you will all be killed
  • If someone attempts a guess, and guesses right, you will all be set free
  • If no one attempts a guess on day 1, you will all be taken back to your cells. On day 2 you will again be taken to this room and will have a chance to guess the colour of your hat.
  • This will either carry on forever, carry on until some guesses right (and all freed) or carry on until someone guesses wrong (and all killed)


No one attempts a guess on day 1, 2 or 3. What colour is your hat?



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Count Zero - Creator of the Statistical Tennis Extrapolation & Verification ENtity or, as we like to call him, that steven.


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johnnylad


Tennis legend

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I got a lovely hat for Christmas. Its black and blue!

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VSandhi20


Futures qualifying

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i dont like these complicated teasers. but i'll guess and say its red. but if they attempt but dont say what colour, then could be white.



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RobC


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I think I know. will PM you my answer & my logic.

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RedCabbage


Club Coach

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If there were three red hats I could see - A, B and C - A would only see two red hats. And A would then know he had a red hat because neither B or C immediately shouted RED!!! But there aren't three red hats - there's four. So I can't make that guess. But...D (the fourth red hat) could make that statement if he could see only three red hats - the fact that he didn't must mean that he sees four red hats too. So I must have a red hat too!!!


So I'll say WHITE because I want everyone dead!! (not really...red!)



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