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Semantics; A celebration and historical record.
Topic Started: Nov 10 2010, 03:54 PM (1,896 Views)
whatsthatonyourback
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Waldo Jeffers
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No luck involved.
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Naebody
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Twat
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whatsthatonyourback
Nov 22 2010, 02:23 PM
You know that your competitors are very intelligent and want nothing more than to marry the princess.

There's an oxymoron.

King sounds a right c*nt too. Wouldn't want him as a father in law.
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findus
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Jerry Kerr
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Brain dump as it comes to me...

From their point of view, they either see 1 white hat and one black hat, or 2 white hats.

If they see 2 white hats, they know (as we do) the chances of the colour of their hat are:
- black 2/3
- white 1/3

If they see 1 white 1 black, they know the chances of the colour of their hat are:
- black 1/3
- white 2/3

If Agent A sees that my hat is black, and he sees that white hatted Agent B is unwilling to bet, this means that Agent A can safely say that his hat is not black too, otherwise Agent B would immediately say that his own hat is white. The same goes for Agent B's situation (and mine, I suppose). As neither is willing to bet, this suggests that my hat is not black, therefore my hat is white. GG. :hat: (we need a white hat smiley!!!!)

EDIT: of course, if those other two muppets are as smart as you say, they'd have figured this out too. So they're not that smart really. Or I'm completely missing something :hit:
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Skeletor
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Most likely to be Ann Widdecombe
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whatsthatonyourback
Nov 22 2010, 02:23 PM
OK, well done Ivan & findus. Before you give each other a warm hand-off, bear in mind this one was from the "very easy" section. And findus took rather a long time to answer. And neither of you explained your answers.

So, here's a more difficult one:

A king wants his daughter to marry the smartest of 3 extremely intelligent young princes, and so the king's wise men devised an intelligence test.

The princes are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room.

The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed.

You are one of the princes. You see 2 white hats on the other prince's heads. After some time you realize that the other prince's are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?

Note: You know that your competitors are very intelligent and want nothing more than to marry the princess. You also know that the king is a man of his word, and he has said that the test is a fair test of intelligence and bravery.

Easy, the most intelligent prince stands up and says "I'm too smart for these silly games", and in taking the instant moral high-ground, he wins..


Or he says "I've already knocked your daughter up, she's 4 months down the line" - and he wins by default?

Or he goes into the room where the other hats are hidden, finds them, and deduces that he has the one remaining colour of hat to complete the set.
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Setenza
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Knitting with only one needle
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Skeletor
Nov 22 2010, 08:35 PM

Or he goes into the room where the other hats are hidden, finds them, and deduces that he has the one remaining colour of hat to complete the set.

My method means don't have to get up though.
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Naebody
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Twat
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Oh, hang on. This is easy.

Prince A doesn't answer. Therefore he doesn't see two black hats.
Prince B doesn't answer either. Therefore he doesn't see two black hats. Moreover, he knows that Prince A hasn't seen two black hats. Therefore, if Prince B sees one black hat he knows his hat is white. But Prince B doesn't answer. So, Prince C's hat must be white.

Do I get into Cambridge now? It's 20 years too late, but I'd still take it.
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Skeletor
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Naebody
Nov 22 2010, 10:55 PM
Oh, hang on. This is easy.

Prince A doesn't answer. Therefore he doesn't see two black hats.
Prince B doesn't answer either. Therefore he doesn't see two black hats. Moreover, he knows that Prince A hasn't seen two black hats. Therefore, if Prince B sees one black hat he knows his hat is white. But Prince B doesn't answer. So, Prince C's hat must be white.

Do I get into Cambridge now? It's 20 years too late, but I'd still take it.

No, you get to marry the princess - bastard..
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Cobardon
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Uncle Smurf
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whatsthatonyourback
Nov 22 2010, 01:18 PM
OK, since you ask.

Quick answers for this one, please:

Cathy has six pairs of black socks and six pairs of white socks in her drawer.

In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match?

This question doesn't say she only has 6 of each colour in the drawer: perhaps there are 6 blue, 6 red, 6 green, 6 purple and 122 yellow pairs too. That alters the chances significantly. Unless they can frame their questions coherently and unambiguously I'm not playing. :blink:
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