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 Post subject: Re: Think of a number...Posted: Wed Jan 09, 2013 4:11 pm

Joined: Sun Mar 04, 2012 9:52 am
I went straight to 64 because it's 2^6, and I like powers of 2.

Callum

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 Post subject: Re: Think of a number...Posted: Wed Jan 09, 2013 5:16 pm

Joined: Fri Feb 18, 2000 8:50 am
Location: chicago, IL area U.S.A
bmenrigh wrote:
So if there are 1M possibilities and you buy one of each ticket then you have a 100% chance of winning. Assuming everyone else plays randomly you need 0 other winners. Supposing 1 million other tickets besides yourself were sold then:
> ppois(0, 1000000/1000000)
[1] 0.3678794

So you have a 36.7% chance of being the only winner.

Yeah, I've noticed this before with different things. As long as the number of posibilities equals the number of attemps, the percentage of it happeneing approaches 1/e as both numbers increase. So 1 million being a large number is very close to 1/e

Thanks by the way, that helps.

-d

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 12:51 am

Joined: Thu Dec 21, 2006 5:32 pm
Location: Bay Area, CA
Puzzle significant others unite!

Folded slip of paper, asked my wife, 68!

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 8:50 am

Joined: Mon Dec 05, 2011 3:38 pm
Location: Eindhoven, The Netherlands
86, after careful considering some options (84, 68, 86) I could choose from

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 9:06 am

Joined: Thu Sep 17, 2009 6:07 am
Location: Germany, Bavaria
TGCubes wrote:
On the topic of zero being even.

Zero must be even because if it is not, then it breaks our rules of mathematics.

sooo...

60
62
64
68
80
82
84
86

eight

Anyways, Tony, you totally got me. My first guess was 68.
Zero is even. Interestingly, as far as I have recognised, nobody has chosen something with zero so far. My wife - not much puzzle minded - has chosen an unexpected number as well - 62- and no zero digit.

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 9:45 am

Joined: Mon Mar 30, 2009 5:13 pm
Interestingly, as far as I have recognised, nobody has chosen something with zero so far.

Apparently zero isn't "random enough" for anyone to include it.

JackRTully wrote:
Basically (I may be wrong) think that what happens is we're told to answer fast, so we read the question fast so we stick to the rules. When told any number between 50 and 100 there's quite a lot to choose from. As soon as we see "both even" our minds jump to the first even number after 5, that being six, so we think 6X. We carry on reading and discover that both digits have to be different. As we are reading and answering quickly, we easily progress forwards and jump from 6 to 8 instead of backwards. This leaves us with 68. I have no idea if what I've said has made sense, or whether or not its right. I'm certainly no physchologist!

By this rationale, I think people would have chosen 68 more consistently if the question was phrased "choose a number from 50 to 100" rather than "choose a number between 50 and 100", as the language might subtly influence the thinking process - just a hypothesis, but would be an interesting psychology experiment to try out with statistics on two larger population samples.

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 10:48 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Fascinating information!

But what about those whose mind is so badly in denial that they
still insist to choose numbers which are not between 50 and 100?

I am still going for 37.

Pantazis

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 12:40 pm

Joined: Sun Mar 27, 2005 7:37 pm
TGCubes wrote:
On the topic of zero being even.

Zero must be even because if it is not, then it breaks our rules of mathematics.

sooo...

60
62
64
68
80
82
84
86

eight

Anyways, Tony, you totally got me. My first guess was 68.
Zero is even. Interestingly, as far as I have recognised, nobody has chosen something with zero so far. My wife - not much puzzle minded - has chosen an unexpected number as well - 62- and no zero digit.

It's not regarded as even in roulette and I thought there was some debate. Wiki states it is positive but also says it is divisible by 2 which doesn't make any sense to me. Everything is technically divisible by 2.

Regarding Kelvin's point about lotteries. I assume most people won't pick a sequence of high (>31 and out of birthday range) consecutive numbers since to many they appear to be unlikely to come up. However there will be some with the same thoughts as myself and I don't want to share with them either. So I have to change the numbers slightly but not in a predictable way. So I usually have 5 consecutive high numbers plus one randomly picked number >31. Just my luck that I'll probably share with 20 lucky dippers.

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 1:04 pm

Joined: Mon Mar 30, 2009 5:13 pm
Tony Fisher wrote:
I usually have 5 consecutive high numbers plus one randomly picked number >31.
Hey, that's my strategy too! Just to illustrate the point that finding the least popular combination is very difficult when everyone else is trying to do the same thing.

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 2:47 pm

Joined: Thu Jul 23, 2009 5:06 pm
Location: Berkeley, CA, USA
Tony Fisher wrote:
It's not regarded as even in roulette and I thought there was some debate. Wiki states it is positive but also says it is divisible by 2 which doesn't make any sense to me. Everything is technically divisible by 2.

Well, casinos want to make money so they make up rules. But I never knew there was some debate about the parity of zero until today. But after reading something about it, I know that the concept of zero was introduced later than the concept of even/odd. So it's quite understandable that someone has confusions.

Some kids don't even think zero is a number. I remember reading that in some civilization, one is not considered a number (only plural things are numbers?).

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 2:52 pm

Joined: Thu Dec 31, 2009 8:54 pm
Location: Bay Area, California
"00" isn't a number but American Roulette has that too. I wouldn't use Roulette as a source of mathematical truth.

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Prior to using my real name I posted under the account named bmenrigh.

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 3:11 pm

Joined: Mon Mar 30, 2009 5:13 pm
Also, don't forget that we're talking about zero as a digit in this case, as in 60 and 80, not as a number. Clearly, 60 and 80 are both even numbers.

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If you want something youâ€™ve never had, youâ€™ve got to do something youâ€™ve never done - Thomas Jefferson

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 Post subject: Re: Think of a number...Posted: Thu Jan 10, 2013 3:42 pm

Joined: Fri Nov 25, 2011 6:33 am
Location: Helsingborg, Sweden
Since people here enjoyed their video about the 3x3, here is numberphiles video about the "even-ness" of zero:

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-Fredrik

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 Post subject: Re: Think of a number...Posted: Sun Jan 20, 2013 10:12 am

Joined: Sun Mar 27, 2005 7:37 pm
bmenrigh wrote:
"00" isn't a number but American Roulette has that too. I wouldn't use Roulette as a source of mathematical truth.

Of course not but my point is that it's not as natural to think of it as even (edit) as it would be for 6 for example.

Last edited by Tony Fisher on Sun Jan 20, 2013 11:24 am, edited 1 time in total.

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 Post subject: Re: Think of a number...Posted: Sun Jan 20, 2013 10:52 am

Joined: Mon Mar 30, 2009 5:13 pm
Tony Fisher wrote:
bmenrigh wrote:
"00" isn't a number but American Roulette has that too. I wouldn't use Roulette as a source of mathematical truth.

Of course not but my point is that it's not as natural to think of it as positive as it would be for 6 for example.

Zero *isn't* positive (it's neutral in that respect), but it is definitely even.

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If you want something youâ€™ve never had, youâ€™ve got to do something youâ€™ve never done - Thomas Jefferson

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 Post subject: Re: Think of a number...Posted: Sun Jan 20, 2013 11:23 am

Joined: Sun Mar 27, 2005 7:37 pm
KelvinS wrote:
Tony Fisher wrote:
bmenrigh wrote:
"00" isn't a number but American Roulette has that too. I wouldn't use Roulette as a source of mathematical truth.

Of course not but my point is that it's not as natural to think of it as positive as it would be for 6 for example.

Zero *isn't* positive (it's neutral in that respect), but it is definitely even.

Sorry, typo. Meant to say even.

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 Post subject: Re: Think of a number...Posted: Tue Jan 29, 2013 3:30 pm

Joined: Mon Feb 06, 2006 12:52 am
bmenrigh wrote:
Speaking of the way people pick numbers, there was a massive dump of ATM / Bank PINs.

Somebody did a fantastic analysis of the data here: http://www.datagenetics.com/blog/september32012/

The bias to 68 is probably somewhat related to how folks pick other "random" numbers.

ERRRH. Brandon. After 1 hour of thorough reading and thinking I close that tab and find myself in this forum again. Like riped out of a dream. Now I remember how I got there!
THAT WAS FASCINATING.

Thank you though for the great article. Now back to what I was actually reading here.... Oh yes, the numger.

I chose 62. I guess my thought was about: 6 is first after 5 and thus the "first" digit I was allowed to chose as first. Then I went up from 60, choosing the first second digit allowed, but... ignoring 0. Who knows why. Yes I do know that 60 is an even number. And even the digit 0 itself. Still that's what I think I recall doing. Or what my intution was doing.

0 probably just seems to... abstract and ... unfulfilling. ??

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