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mindmetoo
Joined: 02 Feb 2004
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Posted: Fri Feb 02, 2007 3:07 am Post subject: Three teachers wearing purple |
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Three teachers around me were wearing purple. The first three teachers I saw in the teacher room. At first I worried that it was some "wear purple day" and in Korean fashion (ha ha) no one bothered to tell the foreign teacher (surely a vaguely insulting comment to the Koreans here). But looking around I noticed the other teachers weren't wearing purple. Whew.
Still. Three. In purple. What are the odds!
Assuming 11 basic colors, the odds of three teachers wearing purple you would think is 1/11 x 1/11 x 1/11 = 1/1331. That will happen once in about 4 years!
My colors:
1 Red
2 Blue
3 Green
4 Yellow
5 Pink
6 Orange
7 Purple
8 Black
9 White
10 Brown
11 Khaki
(I'm a man and I do not recognize other colors. There is no fuschia in my brain. You're lucky to get a khaki concession out of me. Sorry, that's the way men are wired.)
But wait. There are 12 teachers in the teacher room. The odds that those specific three teachers would all wear purple on that day is about .08% But what are the odds any of the three teachers would wear purple that day?
We have to examine all the possible permuations.
The odds teacher 1 2 & 3 wear purple 1/1331.
The odds teacher 1 2 & 4 wear puprle 1/1331.
The odds teacher 1 2 & 5 wear purple 1/1331.
...
The odds teacher 1 11 & 12 wear purple 1/1331.
The odds teacher 2 3 & 4 wear purple 1/1331.
...
The odds teacher 10 11 & 12 wear purple 1/1331.
The odds become additive. We have to check every possible combination of teacher. When we check every possible combination of teacher, there are 220 combinations, each with a 1/1331 chance of being correct. So the odds are really 220/1331. There's about a 16.5% chance, then, of 3 teachers wearing the same color that day.
{The easy way to find all the combinations is do =FACT(12)/(FACT(3)*FACT(9)) in your spread sheet or better use =COMBIN(12,3) }
This, of course, is a fussier figurin' of what are the chances in a class of, say, 30 two people will share the same birthday?
http://en.wikipedia.org/wiki/Birthday_paradox |
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midgic
Joined: 14 Feb 2004
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Posted: Fri Feb 02, 2007 4:47 am Post subject: |
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| The odds become additive. We have to check every possible combination of teacher. When we check every possible combination of teacher, there are 220 combinations, each with a 1/1331 chance of being correct. So the odds are really 220/1331. |
Is the question, 'what is the probability that exactly three teachers are wearing purple?'
If so, then I think we need to make sure that the remaining nine teachers in each of the 220 cases are not wearing purple, a probability of 10/11 for each teacher. So, I think we need to multiply 220/1331 by (10/11) raised to the power of 9.
Answer: The probability that exactly three teachers are wearing purple is
220/1331 * (10/11)^9......???? (I think...)
However, if the question is,
'What is the probability that at least three teachers are wearing purple?' or...
'what is the probability that at least three teachers are wearing the same colour?'
....or.....
'what is the probability that exactly three teachers are wearing the same colour?'....
then the question is somewhat more complicated. |
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SuperFly

Joined: 09 Jul 2003 Location: In the doghouse
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Posted: Fri Feb 02, 2007 5:18 am Post subject: |
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| Soon, Kwangjuchickenman will be along to refute your numbers and add his own extrapolations. |
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OiGirl

Joined: 23 Jan 2003 Location: Hoke-y-gun
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Posted: Fri Feb 02, 2007 5:25 am Post subject: |
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I would go for 12 basic colors. Light blue is generally accepted to be a basic color by color theoreticians these days. Ask me more about the Latinate blue/azure color line.  |
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princess
Joined: 16 Jan 2003 Location: soul of Asia
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Posted: Fri Feb 02, 2007 6:49 am Post subject: |
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| Surely something way more exciting happened today in the world's third largest city. God, I hope so. |
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Delirium's Brother

Joined: 08 May 2006 Location: Out in that field with Rumi, waiting for you to join us!
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Posted: Fri Feb 02, 2007 6:57 am Post subject: |
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| I wear purple everyday! So the odds are 1:1 for me. I am right now, in fact. |
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Hyeon Een

Joined: 24 Jun 2005
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Posted: Fri Feb 02, 2007 7:23 am Post subject: |
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| In Korea "crazy" people like purple. Keep an eye out on these nutjobs. If they didn't get you already. |
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tzechuk

Joined: 20 Dec 2004
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Posted: Fri Feb 02, 2007 7:23 am Post subject: |
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| I've always worn purple.. but my name tzechuk means purple flower (Chinese)... so I am partial to purple. |
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davai!

Joined: 04 Dec 2005 Location: Kuwait
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mindmetoo
Joined: 02 Feb 2004
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Posted: Fri Feb 02, 2007 4:30 pm Post subject: |
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| princess wrote: |
| Surely something way more exciting happened today in the world's third largest city. God, I hope so. |
Do you run out during your break at work, party at M2, and then run back to your next class? |
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Kwangjuchicken

Joined: 01 Sep 2003 Location: I was abducted by aliens on my way to Korea and forced to be an EFL teacher on this crazy planet.
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Posted: Fri Feb 02, 2007 11:04 pm Post subject: |
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| SuperFly wrote: |
| Soon, Kwangjuchickenman will be along to refute your numbers and add his own extrapolations. |
I knew there was some reason why I would read this thread. Nothing from the title would really get my attention. But, actually I love the numbers. |
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Kwangjuchicken

Joined: 01 Sep 2003 Location: I was abducted by aliens on my way to Korea and forced to be an EFL teacher on this crazy planet.
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Posted: Fri Feb 02, 2007 11:10 pm Post subject: Re: Three teachers wearing purple |
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[quote="mindmetoo"]Three teachers around me were wearing purple. The first three teachers I saw in the teacher room. At first I worried that it was some "wear purple day" and in Korean fashion (ha ha) no one bothered to tell the foreign teacher (surely a vaguely insulting comment to the Koreans here). But looking around I noticed the other teachers weren't wearing purple. Whew.
Still. Three. In purple. What are the odds!
Assuming 11 basic colors, the odds of three teachers wearing purple you would think is 1/11 x 1/11 x 1/11 = 1/1331. That will happen once in about 4 years! |
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Kwangjuchicken

Joined: 01 Sep 2003 Location: I was abducted by aliens on my way to Korea and forced to be an EFL teacher on this crazy planet.
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Posted: Fri Feb 02, 2007 11:27 pm Post subject: Re: Three teachers wearing purple |
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[quote="Kwangjuchicken"]
| mindmetoo wrote: |
Three teachers around me were wearing purple. The first three teachers I saw in the teacher room. At first I worried that it was some "wear purple day" and in Korean fashion (ha ha) no one bothered to tell the foreign teacher (surely a vaguely insulting comment to the Koreans here). But looking around I noticed the other teachers weren't wearing purple. Whew.
Still. Three. In purple. What are the odds!
Assuming 11 basic colors, the odds of three teachers wearing purple you would think is 1/11 x 1/11 x 1/11 = 1/1331. That will happen once in about 4 years! |
Look at the numbers I colored.
Three purple. Trinity
1/11 1/11 1 /11 in green 3 trinities. Or as I say trinity trinities. Which, by the way (333) is the street number of my new university. And after you see my street number, every car that enters the campus has its license plate number displayed in big red lights. Then you are greated by a huge statue with a chicken on top. What are the odds of that But, I digest. Trinity trinities also equals 9. 6 is Satan and 9 is Satan upside down. As when he is cast into the lake of fire.
1331 in Blue. A 2 way number that then can also give you double 13's
By the way (and I digest again) this year 4/13 (my hatch day) and 7/13 ( 7= Heaven) will be Friday. As they were the first year of the new mil. 2001.
4 in orange. 4 can mean death, or also end. End of a bad job because you got a good one. By the way, my new office number is 44.
Also, 4 is not only death in the East. In revelation the 4th seal is the death seal. |
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Hanson

Joined: 20 Oct 2004
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Posted: Fri Feb 02, 2007 11:53 pm Post subject: |
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| Here we go... |
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Kwangjuchicken

Joined: 01 Sep 2003 Location: I was abducted by aliens on my way to Korea and forced to be an EFL teacher on this crazy planet.
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Posted: Sat Feb 03, 2007 10:51 pm Post subject: Three |
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Of course. The title DID have a reason to get my attention.
"THREE.....
Ok. Here is a riddle. How can 1:05:05 become 3? |
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