DeathRowKitty wrote:Well, the brown-eyed people could never be sure of their eye colors. They could see that everyone else had brown eyes and assume they did, but there would be no logical way to draw that conclusion.
DeathRowKitty wrote:Eh, I guess I'll just say it.
Let's label the people with blue eyes . Before the guru speaks, sees 99 people with blue eyes. He therefore knows that can see at least 98 people with blue eyes. Along the same lines, since can see at least 98 people with blue eyes, knows that knows that can see at least 97 people with blue eyes. Carrying this on down the line, knows that knows that knows that.....that knows that can see someone with blue eyes. However, once the guru makes his statement and 99 days pass without anyone leaving, knows that knows that knows that.....that knows that knows that can see someone with blue eyes. (That was interesting to type...) The only person whose eyes can't see is himself; therefore, the person with blue eyes that knows that knows that....that knows that can see is him.
Well, I'm not sure it's any easier to follow, but if you can work through the logic of this post, you'll see that the brown-eyed people don't have the same information as the blue-eyed people and that's why they can't leave.
Opening Post wrote:Everyone can see everyone else at all times and keeps a count of the number of people they see with each eye color (excluding themselves), but they cannot otherwise communicate. Everyone on the island knows all the rules in this paragraph.
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