Riddle: Before he turned physics upside down, a young Albert Einstein supposedly showed off his genius by devising a complex riddle involving a stolen exotic fish and a long list of suspects. Can you resist tackling a brain teaser written by one of the smartest people in history? Dan Van der Vieren shows how.
Answer: The key is that the person at the back of the line who can see everyone else's hats can use the words "black" or "white" to communicate some coded information. So what meaning can be assigned to those words that will allow everyone else to deduce their hat colors? It can't be the total number of black or white hats. There are more than two possible values, but what does have two possible values is that number's parity, that is whether it's odd or even. So the solution is to agree that whoever goes first will, for example, say "black" if he sees an odd number of black hats and "white" if he sees an even number of black hats. Let's see how it would play out if the hats were distributed like this. The tallest captive sees three black hats in front of him, so he says "black," telling everyone else he sees an odd number of black hats. He gets his own hat color wrong, but that's okay since you're collectively allowed to have one wrong answer. Prisoner two also sees an odd number of black hats, so she knows hers is white, and answers correctly. Prisoner three sees an even number of black hats, so he knows that his must be one of the black hats the first two prisoners saw. Prisoner four hears that and knows that she should be looking for an even number of black hats since one was behind her. But she only sees one, so she deduces that her hat is also black. Prisoners five through nine are each looking for an odd number of black hats, which they see, so they figure out that their hats are white. Now it all comes down to you at the front of the line. If the ninth prisoner saw an odd number of black hats, that can only mean one thing. You'll find that this strategy works for any possible arrangement of the hats. The first prisoner has a 50% chance of giving a wrong answer about his own hat, but the parity information he conveys allows everyone else to guess theirs with absolute certainty. Each begins by expecting to see an odd or even number of hats of the specified color. If what they count doesn't match, that means their own hat is that color. And every time this happens, the next person in line will switch the parity they expect to see.
Riddle: I cannot be felt, seen or touched; Yet I can be found in everybody; My existence is always in debate; Yet I have my own style of music. What Am I?
Answer: I'm a soul.
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Riddle: A fireman is running to get a net under a lady who looks like she might jump off the balcony of her 20 story apartment building. There is nothing below her except a 20 story fall. The fireman is still 100 yards away when she falls and can't nearly get there in time. The woman is not hurt more than a bruise. How is that possible?
Answer: She fell back into her apartment, jumping from the balcony into the inside.
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Riddle: In the olden days, you are a clever thief charged with treason against the king and sentenced to death. But the king decided to be a little lenient and let you choose your own way to die. What way should you choose?
Answer: Choose to die of old age.
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Riddle: Four people are sitting around a campfire after a long day of recreation when one man comments: "Do you realize that around this campfire, the four of us include a mother, father, brother, sister, son, daughter, niece, nephew, aunt, uncle and a couple of cousins"?. If everyone is related by blood (with no unusual marriages) how is this possible?
Answer: The campfire circle includes a woman and her brother. The woman's daughter and the man's son are also present.
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