Quote:
Originally Posted by Jake
Greg got it again? LOL
Care to explain how you got Blue?
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Sure; This is similar to the other hat riddle I posted a few pages earlier.
Basically, in general, there are only a few different situations that can occur in terms of # of white and # of blue hats. But since we already know that the other two sages have blue hats, I'll skip the pointless ones.
So here we go:
If you were wearing a white hat, the other two sages would both see 1 blue and 1 white hat. This doesn't mean that they would be stumped though. Remember that you can't have three white hats. That means that if you were wearing a white hat, the other wizards would both realize that since they are keeping silent, that there must be 1 blue and 1 white hate for each of them to see. BECAUSE; if there were two white hats in vision of one of them, he would know he is wearing a blue hat and win. So even with one white and one blue hat; their silence is a dead give away that they are both wearing blue. That means that we (The lonely sage who see two blue hats) wouldn't be able to win this game.
However, since no one is saying anything at all, the only conclusion to draw is that all three of the sages are wearing a blue hat. Because if every sage sees two blue hats, there is no give away to what you're wearing. Except of course if the silence lasts a very long time, which it obviously did, meaning we're wearing a blue hat.
That was way longer that I planned. Sorry, I blame 2:00 AM syndrome.