Puzzle: Lucky Prince
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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?
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By Roshan
My (The prince's) hat would be WHITE.
Reply 8Given: Prince 1 hat color : WHITE
Prince 2 hat color : WHITE
Explanation: Let me assume that my hat is BLACK. Then prince 1 will not be able to answer because prince 2 has white. Understanding why prince 1 couldn't answer, prince 2 should now be in a position to tell that his hat is WHITE because my hat is black. But in reality, prince 2 couldn't answer. That means my assumption that my hat is black is wrong. So my hat is WHITE!