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math pro soutnament question math pro soutnament question

10-27-2010 , 10:27 PM
Hi, I am trying to figure out the odds of these scenarios both involve a 400 person tournament slot tournament that involve 3 rounds of play for all partisipants (no skill ,100% random odds):

1) finishing in top 5 in all 3 rounds.

2) finishing in top 10 in all 3 rounds.





"give me liberty or give me aged stincky low fat swiss cheese"
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10-27-2010 , 11:16 PM
(5/400)^3

(10/400)^3
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10-28-2010 , 12:42 AM
That's the answer if the question is whether a single person, selected before the tournaments begins, will finish top 5 (or top 10) all three rounds.

If, on the other hand, you're asking what the chances are that at least one person does it, that's different, and slightly harder — for the top 5 problem it's (5 x (5/400)2 – much smaller terms for two or more people doing it). You can pretty easily figure out the double-counting terms if you think about it.
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10-28-2010 , 07:57 PM
hmmm I feel so stupid, time to load up on omega. 1st one was a 500k prize if achieved and 2nd is for 100k in a free invitational, so i deeeclined, can't think of something more painful than playing a slot tournament.
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10-28-2010 , 08:43 PM
Quote:
Originally Posted by zenct
hmmm I feel so stupid, time to load up on omega. 1st one was a 500k prize if achieved and 2nd is for 100k in a free invitational, so i deeeclined, can't think of something more painful than playing a slot tournament.
ev of the first prize is <$1 and the second <$2 so you prob made a good choice
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