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Thread: PUZZLES

  1. #1
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    PUZZLES

    Please post some interesting puzzles in this thread and let other hubbers find the answer by their intelligent brain.

    Let me begin with a puzzle:

    Three Gentlemen

    There are three men standing in a row. All are wearing hats. The hats were chosen from a set of three black and two white hats. Nobody knows which color he himself is wearing. But the man at the back knows the colors of other men's hats and the man in the middle knows the color of first man's hat.
    The last man was asked whether he knew the color of his own hat. "No",he said.
    The man in the middle was asked the same question and he too said,"No."
    Now the first man was asked the same question and he said,"Yes,I know."
    Did he really know? If yes, what was the color? and how did he arrive at the answer?

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  3. #2
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    Can anyone crack this out?

  4. #3
    Moderator Platinum Hubber P_R's Avatar
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    Re: PUZZLES

    Quote Originally Posted by sgokulprathap
    Please post some interesting puzzles in this thread and let other hubbers find the answer by their intelligent brain.

    Let me begin with a puzzle:

    Three Gentlemen

    There are three men standing in a row. All are wearing hats. The hats were chosen from a set of three black and two white hats. Nobody knows which color he himself is wearing. But the man at the back knows the colors of other men's hats and the man in the middle knows the color of first man's hat.
    The last man was asked whether he knew the color of his own hat. "No",he said.
    The man in the middle was asked the same question and he too said,"No."
    Now the first man was asked the same question and he said,"Yes,I know."
    Did he really know? If yes, what was the color? and how did he arrive at the answer?
    The third man knew that the second man knew that the first man did not see two white hats (if he had he would have said he- the 1st man- would have known his hat is black). The second man thus figures that between himself and the 3rd man there i at least one black hat. If the 3rd had a white hat on, man 2 would have been able to deduce that his hat is black. The fact that he couldn't conclude that tells the 3rd man that his hat is black.

    Mustn't claim I solved this like that. This is famous classroom example in Information Theory.
    மூவா? முதல்வா! இனியெம்மைச் சோரேலே

  5. #4
    Senior Member Platinum Hubber pavalamani pragasam's Avatar
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    Why a new thread for 'puzzles'? The old one is going strong, isn't it?
    Eager to watch the trends of the world & to nurture in the youth who carry the future world on their shoulders a right sense of values.

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    Senior Member Seasoned Hubber ssanjinika's Avatar
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