You have to remember that the other two are also wise men. Their actions and inactions speak volumes to the third.
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You're reasoning is right, but you got a little confused at the end. Man A's hat is blue.I think I got it
Is it that the person who saw the blue hats (Man A) knew that if Man B saw a white and a blue hat, then after a while of thinking, Man B could conclude that since Man C didn't say anything, that his hat is blue because if Man C saw 2 white hats, then he would immediately call that his was blue. Since Man B did not do this, then it is clear that neither of the others saw a white and a blue hat and therefore, Man A's hat must be white.
You're reasoning is right, but you got a little confused at the end. Man A's hat is blue.
A sees two blue hats, B and C. B (or C) begins thinking what color his hat may be. If he sees a white (A) and a blue (C) and C hasn't answered yet he knows his hat is blue (anyone who sees two whites knows there is atleast one blue and that it must be them). It's impossible for him to see two whites since we know there are two blues and only three people. So the only option left for him is to see two blue hats (A and C). However, knowing they both have blues doesn't help him; he could have a white. But, B and C's perspectives are interchangeable. And assuming they are both wise, have both come to the stalemated conclusion. A, also being in their predicament knows that they must be stumped because they both see two blues (one of those being him). So, he stands and says that he is wearing a blue hat.
If it's a little confusing, draw a diagram of the three men and see how it works.
Blah, I got confused in my own explanation and put white instead of blue
A father wants to divide his fortune to his two stupid sons. He devises a horse race where whoever's horse crosses the line LAST gets all the money. After many days and nights the sons don't know what to do because tis contest could go on forever so they seek the help of an old man. He said something to them and they ran to the horses and travelled at breakneck speed to the finish line. What did the old man tell them?
I was telling Digital Master that he got confused at the end of his explanation.That was the same conclusion I reached with my second guess:
My second guess was that all three have blue hats, and the one who answers correctly makes this assumption and then realizes that if that were the case no amount of inference could prove otherwise. This impossibility explains why no man can answer the question, so then by this he can assume (by a risk) that all hats are blue.
Perhaps you misunderstood, but that shows that none could reach a conclusion based on the hats they could see. Which means that Man A would, as I said, know he has a blue hat.
I also don't see why my third guess is incorrect either.
As fas as I can tell both my second and third attempts were both correct with valid reasoning which could be reached by the men. Can someone explain how they could be wrong?
Blah, I got confused in my own explanation and put white instead of blue
A father wants to divide his fortune to his two stupid sons. He devises a horse race where whoever's horse crosses the line LAST gets all the money. After many days and nights the sons don't know what to do because tis contest could go on forever so they seek the help of an old man. He said something to them and they ran to the horses and travelled at breakneck speed to the finish line. What did the old man tell them?
He came from a hot air balloon. They tried to lose weight by dumping their clothes, it didn't work. Eventually they had to dump a personCorrect.
Here is a new one:
In the middle of the desert there is a trail of clothing; four jackets, four shirts, four pants, etc. There are no footprints around any of the clothes. However, at the end of the line is a naked man. His neck is snapped and the around him is a small twig near his hand. What rational explanation tells how this odd scene came to place?