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Dec 13, 2014, 12:06 PM
#1
Member
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Post Thanks / Like - 1 Likes
Ryan liked this post
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Dec 13, 2014, 12:32 PM
#2
I'm not nearly so ambitious as you, but I love jigsaw puzzles and pretty much always have one in the works. I do them for relaxation so I prefer them to not be super challenging since the rest of my life so often is. 
Jeannie
Last edited by Jeannie; Dec 13, 2014 at 02:20 PM.
Reason: tiny iphone keyboard typo
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Post Thanks / Like - 4 Likes
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Dec 13, 2014, 02:00 PM
#3
Ok, this isn't a physical puzzle, but it's one of my favorites:
A bottle and a cork together cost £1.10
The cork costs exactly £1,00 less than the bottle
How much does the cork cost?
(I'm not very good at maths)
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Dec 13, 2014, 02:39 PM
#4

Originally Posted by
Matt
Ok, this isn't a physical puzzle, but it's one of my favorites:
A bottle and a cork together cost £1.10
The cork costs exactly £1,00 less than the bottle
How much does the cork cost?
(I'm not very good at maths)
Not 10p?
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Dec 13, 2014, 02:46 PM
#5

Originally Posted by
geoffbot
Not 10p?
Well...
It is a puzzle!
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Dec 13, 2014, 03:11 PM
#6
Related:
I'm a huge fan of those super cryptic puzzles where deciphering the question is half if not most of the challenge.
About ten-fifteen years ago, I was hooked on this thing called "The Stone" that was a series of these that got progressively moreobscure. I don't recall getting past the first series of them.
The official site was eventually taken down but it had been rehosted. Wonder if it's still around and if my login is still valid?
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Dec 13, 2014, 03:26 PM
#7
My favourite mental puzzle:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No.*1, and the host, who knows what's behind the doors, opens another door, say No.*3, which has a goat. He then says to you, "Do you want to pick door No.*2?" Is it to your advantage to switch your choice?
The answer is that yes it is. http://en.m.wikipedia.org/wiki/Monty_Hall_problem
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Dec 13, 2014, 04:05 PM
#8
Well that's got me! I love the 10p one because it is so simple and yet there is this overriding certainty that it is 10p. But this one, I'm looking at it and despite the internet pushing and all the stuff about experts being fooled an all, I still think I can knock up a reductio - I'll have a go at it informally now and formally later
Let's imagine there are two players rather than one. Player one picks door one and player two picks door two. After the non chosen door is opened, both players, having read the internet, switch doors - so player one switches from door one to door two (and thus improves his chances) Meanwhile, contestant two switches from door two to door one, (thus increasing his chances). So at the end of this switching we have two people still holding the same two choices and yet the chance of both of them winning has increased. If they hadn't swapped, the odds would be lower for both of them despite the fact that both possible positions are filled.
Nope, not convinced.
At all.
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Dec 13, 2014, 04:31 PM
#9
Yeah but there's no guarantee that you're going to win, just a higher probability. Makes perfect sense to me.
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Dec 13, 2014, 05:05 PM
#10
Member

Originally Posted by
Matt
Well that's got me! I love the 10p one because it is so simple and yet there is this overriding certainty that it is 10p. But this one, I'm looking at it and despite the internet pushing and all the stuff about experts being fooled an all, I still think I can knock up a reductio - I'll have a go at it informally now and formally later
How is it 10p? If the bottle cost $1.00 more than the cork, that would make the price of the bottle $1.10, and together they would cost $1.20.
I think the answer is 5p, making the bottle cost $1.05, and together they would cost $1.10.
By the way, if I am completely wrong about the answer, I'm definitely deleting this post.