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So, here's where explanation breaks down... in the normal high school
class, there will always be some wise guy who asks, "What's the
penalty for guessing wrong?" You say, "There is no penalty." So
the kids says, "He guessed a white hat because he has a 50-50 chance
of getting it correct and it doesn't make any difference if he got it
wrong anyway."
So, I ask everyone, suppose the penalty is DEATH." ?? Then what's
the logic in being the first one to guess white?"