Princess Puzzle : Solve it

Ankita Katdare

Ankita Katdare

@abrakadabra Oct 24, 2024
A king wants his daughter to marry the smartest of 3 extremely intelligent young princes, and so the king's wise men devised an intelligence test.

The princes are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room.

The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed.

You are one of the princes. You see 2 white hats on the other prince's heads. After some time you realize that the other prince's are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?

Note: You know that your competitors are very intelligent and want nothing more than to marry the princess. You also know that the king is a man of his word, and he has said that the test is a fair test of intelligence and bravery.

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  • Sagar07

    Sagar07

    @sagar07-LecI1i Dec 15, 2011

    If color of my hat is black, then one prince lets say "B" will see one white hat and one black hat... And "C" will see one white and one black...
    Now, C is unwilling to guess, that means, B will be sure that hat on his head is white in color, because if it was black, then C should have guessed the answer as "white hat on his head" as there were only two black hats....

    so, Color of my hat is "WHITE".......
  • CE Designer

    CE Designer

    @ce-designer-BWq0yl Dec 15, 2011

    White! haha nice one
  • PraveenKumar Purushothaman

    PraveenKumar Purushothaman

    @praveenkumar-66Ze92 Dec 18, 2011

    Hey I don't get the question. The princes are taken into a room, blindfolded, placed a hat and asked to guess? Are they removed of their blindfolds or only after guessing are they removed?
  • Prashanth_p@cchi

    Prashanth_p@cchi

    @prashanth-p-at-cchi-rg0z63 May 24, 2012

    Praveen-Kumar
    Hey I don't get the question. The princes are taken into a room, blindfolded, placed a hat and asked to guess? Are they removed of their blindfolds or only after guessing are they removed?
    The princes are shown 5 hats (3 white and 2 black) before they are blinfolded. then they are blindfolded and a hat is placed over their head...... sagar is right.
  • zaveri

    zaveri

    @zaveri-5TD6Sk May 26, 2012

    CE Designer
    White! haha nice one
    what is your explaination