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Thank you for the clearly articulated explanation, Paul. I am still struggling, however...
"If I were seeing two blue hats and two red hats, and my hat was also blue, then the two people with red hats would leave at 13:00, as each of them would only be able to see one red hat, and I could leave at 14:00. But I can see more than two red hats, so I can't leave at 14:00."
Why could the two leave at 13:00? Even if they could only see one red hat, how would they know theirs was also red? All the person who came in said was that they could see a red hat. This could belong to the person they can see with the red hat, and they still wouldn't know what colour their own was.
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