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Riddle #3: Wizard and 3 Caps (Advanced)

Discussion in 'BBS Hangout' started by cmellon, Feb 17, 2003.

  1. cmellon

    cmellon Member

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    So as not to litter the board too much, I'm only posting three logic riddles per day until I run out of riddles

    This is my last riddle post today:

    Exact same story as riddle #2. However, the wizard now has a collection of 3 black caps and 2 white caps (in the previous riddle, it was 2 black caps and 2 white caps).

    Since there are only three people, the possibility that the Wizard draws three coloured caps is

    3 black caps,
    2 black 1 white,
    or 2 white 1 black.

    After 4 seconds, the man at the base (C) is able to answer. How did he know the answer?
     
    #1 cmellon, Feb 17, 2003
  2. codell

    codell Member

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    A must not see two white hats on B or C or he would know the hat on his head must be black. A's answer proves that at least one of the hats on B or C is black. If B saw that C was wearing a white hat, then B would know his hat was black.
    Since B could not say that his hat was black, the C knows that he must be wearing the black hat.
    ;)
     
    #2 codell, Feb 17, 2003
  3. moestavern19

    moestavern19 Member

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    The Wizard puts a white hat on, the Three black hats see a Wizard with a white hat on and get the **** out of there. Two white caps left... the end.
     
    #3 moestavern19, Feb 17, 2003
  4. cmellon

    cmellon Member

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    codell got it again.

    Looks like you can not participate in my next riddles anymore since you have answered two. ;)

    Tune in tomorrow for the next three logic riddles.
     
    #4 cmellon, Feb 17, 2003
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