There are N students each wearing either a red or white hat,
call them student 1, student 2,.., student N. They can see the
color of everyone else’s hat expect their own. A teacher asks them
sequentially (student 1 first, student 2 second, and so on) if they
know the color of their own hat.
a) Does any of them reply in the affirmative?
The reality is that all of them are wearing a red hat. The teacher
announces that...