"My hat must be White." said the third candidate.
"Why?" asked the Chair.
"Otherwise, it is not a contest. The game is rigged. Unless you were to whisper the color of the hat in someone's ear as you put it on them, the game could not otherwise be won. There would be no winner. It would be impossible, and thus not a game at all. Just a farce.
If I cannot see my own hat, and I can't see anyone else's, then I have no information with which to make the right deductions. I'm guessing, and so is everyone else, for as long as we're in that room and the lights are off. So, I must have everything I need to solve the problem without going into the room. The room doesn't matter since it offers no new information. But you said that this contest could decide the Chair, and that means it must have a winner, and more importantly, someone must be able to actually win through deduction alone. If that's true, then there's only one deduction to be made: the hats on all of us must be White. Three people, three white hats. Everyone with the same hat. The winner is simply the one who deduces that if the game can be won, nothing else is needed. For the only way anyone can win is if everyone could win. All of our hats must be white.
The real deduction though comes down to you, and what I think of you.
Are you honest? If so, it's a real contest. The game can be won and my hat must be white. You gave everyone a fair chance, and we all had the opportunity to reach the same conclusion I did.
Or are you false? In which case the game was a joke. You would have simply told the winner you chose in advance the color of his hat.
It all comes down to you."
I said in part 1 that this isn't really a riddle at all. It's a point of view. It comes down to how you see the world: honest or false. You have to decide that the game can be won. Once you make that decision, the game is easy.
Logic games are no different. I have said to many students many times, the LSAT is not a test. It is an instrument. And so it cannot be false. It must be honest. Every Logic Game must be solvable in under 9 minutes. And it must be solvable without brute force. What you have to do, first and foremost, is believe the game can be won. Won without tricks, won on time, and won by the rules. The game is winnable. It must be. Or else it's not a game; it's a farce.
Students don't want to hear this. They want the magic bullet, the promised omniscience. But everything hinges on your state of mind. You have to know the game is winnable, and you have to trust that knowledge.
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