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Old 06-07-2013, 01:19 PM   #11851
poohbear_nc
Now what?
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You ask the person standing next to you (making sure you don't peek) if the card is face up or face down
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Old 06-07-2013, 01:25 PM   #11852
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This is one of those questions that at first sight appears to be impossible. However, if you look again and think laterally you realise that actually, yes...it is impossible
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Old 06-07-2013, 01:33 PM   #11853
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^It's impossible until you make an assumption which isn't implicit in the question.
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Old 06-07-2013, 03:55 PM   #11854
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It is possible, and I'm pretty sure I haven't missed stating any assumptions.

If you think I have, please state what I've missed out. If you want to do it privately by PM that's fine too.

Last edited by pdurrant; 06-07-2013 at 03:58 PM.
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Old 06-07-2013, 04:03 PM   #11855
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^Actually on further thinking, it can be done. I had to draw it out to see it. I can't answer because I had seen the answer previously, but I still thought it was assuming something, which in fact it doesn't have to.
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Old 06-07-2013, 04:09 PM   #11856
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Quote:
Originally Posted by HomeInMyShoes View Post
^Actually on further thinking, it can be done. I had to draw it out to see it. I can't answer because I had seen the answer previously, but I still thought it was assuming something, which in fact it doesn't have to.
If you put your answer in spoilers, or in a PM, I'll let you know if I agree that you have the solution.
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Old 06-07-2013, 04:35 PM   #11857
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Spoiler:

The key to this problem is set theory. Cards are of two types (face-up or face-down) and the real trick is understanding that if you take ten items out of the whole set the number of special cards is the inverse.

If I pick up ten cards and three are face-up then seven are face-up in the rest of the pile, which means if I take those ten cards I pick up I turn the whole pile over and both piles now have seven face-up cards. The trick is to take ten of the whole set and invert them. It always works no matter how many face-up cards I hold in the set of ten.

0 - 10
1 - 9
2 - 8
3 - 7
4 - 6
5 - 5
...

It works because there were ten and I select ten. As long as I keep my picked pile that I turn over the same size as the number of face-up cards, I can get the same number of face-up cards.

I originally thought the piles needed to be the same size, but that isn't specified in the question.
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Old 06-07-2013, 04:38 PM   #11858
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Yes, HIMS has the right answer. But since he said that he didn't think it fair, since he's seen the problem before, I'll wait until tomorrow for someone else to come up with an answer, and if no one does, then I'll give my version of the answer.
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Old 06-08-2013, 04:17 AM   #11859
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Quote:
Originally Posted by pdurrant View Post
another from Richard Wiseman.

I blindfold you, and give you a pack of cards. I tell you that ten of the cards in the pack are face-up, and the rest are face-down. I ask you to use the whole deck to make two piles of cards, and each pile must contain the same number of face-up cards.

How do you do it?

(No, the cards aren't marked, and you can't feel the difference between a face-up and face-down card by touch.)
Split the deck into a pile of ten cards and a pile of all the rest of the cards. Turn the pile of ten cards over. Done.

I never said the piles had to be the same size, just that they must contain the same number of face-up cards.

How does it work? Like this.

Some of the face-up cards are in the pile of 10, and some are in the rest. Let's call the number of face-up cards in the pile of 10 'U'. Since we know there are 10 face-up cards altogether, there are 10-U face-up cards in the bigger pile.

Since there are 10 cards in the pile contain U face-up cards, it contains 10-U face-down cards.

By turning the pile of 10 cards over, you change the face-up cards to face-down cards and vice-versa. So now the pile of 10 cards has 10-U face-up cards in it.
And we already know that the bigger pile also has 10-U face-up cards in it! Problem solved!

I think HIMS must give us the next question.
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Old 06-09-2013, 08:15 PM   #11860
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Someone else needs to pick this up.
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Old 06-10-2013, 11:07 AM   #11861
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I'll post another then. Compete the following:
  1. "What do you get when you multiply 6 by 9?" "42" HHGTTG WT Sharpe
  2. "Lies, damned lies, and Statistics" Bilbo1967 and Disraeli Fbone
  3. "This is not a novel to be tossed lightly aside; It should be thrown with great force." Bilbo1967 and Dorothy Parker Fbone
  4. "Bigamy is having one wife too many. Monogamy is the same." Bilbo1967
  5. "England and America are two countries separated by a common language. " Bilbo1967
  6. "I never travel without my diary. One should always have something sensational to read in the train." Oscar Wilde's The Importance of being Ernest Fbone

Points for giving the correct end to the quotation/saying, and more points for correctly identifying the origin.

Last edited by pdurrant; 06-10-2013 at 05:36 PM.
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Old 06-10-2013, 11:23 AM   #11862
Bilbo1967
Not scared!
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2. ..statistics
3. ...it should be vigourously thrown
4. ... much the same
5. ... a common language
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Old 06-10-2013, 11:41 AM   #11863
pdurrant
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Close enough for 2,3,4 and 5. Four points to Bilbo.
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Old 06-10-2013, 12:52 PM   #11864
WT Sharpe
Bah, humbug!
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The answer to no. 1, of course, is "42".
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Old 06-10-2013, 12:54 PM   #11865
WT Sharpe
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Quote:
Originally Posted by WT Sharpe View Post
The answer to no. 1, of course, is "42".
Oh, yeah. Source: THHGTTG series (spec: TRATEOTU).

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