One day Alf,Ben and Zoe were stealing horses. They were caught by soldiers and taken to the king. At first the king wanted tochop off their hands. However, he decided to give a chance them. The king told them to stand in a line and put hats on their heads. Then he said, 'If one of you answer this riddle all of you go free.'
The third hat could be black or white. You don't know the colour of the hat on your own head. One hat is black and one hat is white. Each of you has a hat on your head. You are not allowed to turn around. Before you answer in line you must stay.
Alf could not see any hats because he was at the front of the line. Ben could see Alf's hat but not his own. Zoe could see Alf's hat and Ben's hat but not her own. For one minute Alf, Ben and Zoe said nothing. Suddenly someone gave an answer to the king. The king said, 'Well done – all three of you are now free!'
There is a possibility that Zoe know the colour of the hat of three people. Because when Alf and Ben wear same colour hats on their heads, Zoe can know that his hat is another colour. A reason of this response is “The third hat could be black or white.” And there is possibility that Zoe and Ben know their own hats. Zoe was written by above. Ben can know his own hat colour if Zoe can't answer the ridden. Because that mean Alf and Ben wear different colour hats, and Ben know Alf's hat colour. A reason of this response is “Ben could see Alf's hat but not his own.”
The third hat could be black or white. You don't know the colour of the hat on your own head. One hat is black and one hat is white. Each of you has a hat on your head. You are not allowed to turn around. Before you answer in line you must stay.
Alf could not see any hats because he was at the front of the line. Ben could see Alf's hat but not his own. Zoe could see Alf's hat and Ben's hat but not her own. For one minute Alf, Ben and Zoe said nothing. Suddenly someone gave an answer to the king. The king said, 'Well done – all three of you are now free!'
There is a possibility that Zoe know the colour of the hat of three people. Because when Alf and Ben wear same colour hats on their heads, Zoe can know that his hat is another colour. A reason of this response is “The third hat could be black or white.” And there is possibility that Zoe and Ben know their own hats. Zoe was written by above. Ben can know his own hat colour if Zoe can't answer the ridden. Because that mean Alf and Ben wear different colour hats, and Ben know Alf's hat colour. A reason of this response is “Ben could see Alf's hat but not his own.”
