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There are 99 workers in a mine. Each worker has a identity

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Director
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There are 99 workers in a mine. Each worker has a identity [#permalink] New post 25 Sep 2007, 18:27
There are 99 workers in a mine. Each worker has a identity number from 1 to 99 and no two workers share the same identity number. During a disaster drill exercise all the workers leave the mine one-by-one in a completely random manner. What is the probability that the first four mine workers off the mine will leave in order of increasing identity numbers ( e.g., #2, then # 10, then #97, then #98, etc. ) ?

( A ) 1/64

( B) 1/48

( C ) 1/36

( D ) 1/24

( E) 1/16
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 [#permalink] New post 25 Sep 2007, 18:36
Isn't this the same question as the one mgmat posted on their challenge?
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 [#permalink] New post 25 Sep 2007, 21:47
ywilfred wrote:
Isn't this the same question as the one mgmat posted on their challenge?


yes! eeerie-ly similar if you ask me..

http://www.gmatclub.com/forum/t52818
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 [#permalink] New post 26 Sep 2007, 00:34
beckee529 wrote:
ywilfred wrote:
Isn't this the same question as the one mgmat posted on their challenge?


yes! eeerie-ly similar if you ask me..

http://www.gmatclub.com/forum/t52818


Hi,

I just checked the link, and yes you are right, the questions is same. Now the point shouldn't be, it's the same or it isn't, the point for all of us being here in GClub is to be able to solve the questions. Could you guys please focus and help me reaching the solution instead of similarities between them?

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 [#permalink] New post 26 Sep 2007, 01:11
The trick is to understand that the question really asks us for the odds that in a group of four workes (w1 - w4) ---> w1< w2 < w3 < w4.

Since we have four workers, the total possibable arrangements is 4! = 24 but in only one possibable arrangement can w1 < w2 < w3< w4 so the probability is 1/24.

Hence for any four workers chosen the probability is 1/24 , no matter how many workers we started with (just ignore the 99 number).

the answer is (D)

:)
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 [#permalink] New post 26 Sep 2007, 01:16
LM wrote:
beckee529 wrote:
ywilfred wrote:
Isn't this the same question as the one mgmat posted on their challenge?


yes! eeerie-ly similar if you ask me..

http://www.gmatclub.com/forum/t52818


Hi,

I just checked the link, and yes you are right, the questions is same. Now the point shouldn't be, it's the same or it isn't, the point for all of us being here in GClub is to be able to solve the questions. Could you guys please focus and help me reaching the solution instead of similarities between them?

Regards,


okay, i thought there was a solution on that link... anyway, squirrel solved it .. :wink:
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 [#permalink] New post 26 Sep 2007, 09:34
this is a tough problem. i was trying all sorts of useless things and then i figured i'd just read the answer to save my time.

i'm glad i did.
  [#permalink] 26 Sep 2007, 09:34
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