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  1. #1
    DF VIP Member cassy34's Avatar
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    Default The three wizards - one of my favourites

    Here's the scenario.

    You're a wizard working for the king along with 2 others. The king has decided that 1 wizard is sufficient for his needs and has devised a test to see which wizard is the smartest.

    You are blindfolded and led to a room and sat down on a chair. The king then speaks. "My wizards. I have placed on each of your heads, a hat. The hat is either blue or white. All that I will tell you is that there cannot be three white hats. The first wizard to tell me the colour of their hat will win the challenge, however, a wrong guess will result in death. If no-one answers befroe sunrise, then I shall look elsewhere for a new wizard."

    Your blindfold is removed. You are sat at 1 corner of a triangular table. At the other corners are the other 2 wizards. Both wizards are wearing a blue hat.

    Everyone is silent for hours, nervously glancing at one another until, just before sunrise, you get up and declare "The colour of my hat is...."

    btw, there are no reflective objects in the room.

  2. #2
    DF VIP Member bugnote's Avatar
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    Default Re: The three wizards - one of my favourites

    is this a variation on the 4 men in prison, one behind a wall and the other 3 behind each other but there are 4 hats of 2 colours?
    if so, I don't get this one mate.

  3. #3
    Argyll's Apprentice TwoPlAnKs's Avatar
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    Default Re: The three wizards - one of my favourites

    aha! that one almost got me

    put yourself in the position of another wizard if your hat is white:

    he can see a blue hat and a white hat. from his, he knows that his hat is not white. if it was, the wizard with the blue hat would instantly stand up to say that his is blue because they cant all be white. so, he would say his was blue. this means your hat cant be white because that would have happened, so your hat must be blue.

    that is the same from all the wizards positions, so its whoever works that out first that wins, so its a fair trial too.

    have some karma for that, took me ages
    "The Net interprets censorship as damage and routes around it." - John Gilmore

  4. #4
    DF VIP Member cassy34's Avatar
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    Default Re: The three wizards - one of my favourites

    Correct, and very nicely explained.

  5. #5
    DF VIP Member fossil's Avatar
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    Default Re: The three wizards - one of my favourites

    An even easier way is to just take it off your head & look at it!

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