Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Sample space

  1. Aug 18, 2005 #1
    Somebody could help me with this question?

    A conventional knock-out tournament begins with 2^n competitors and has n rounds. There are no play-offs for the positions 2, 3, ..., 2^(n)-1, and the initial table of draws is specified. Give a concise description of the sample space of all possible outcomes.


  2. jcsd
  3. Aug 18, 2005 #2


    User Avatar
    Science Advisor

    That depends upon what you consider an outcome! If you are only asking "who won the tournament", then the set of possible outcomes is precisely the set of players- because any one of them could win the tournament. If you are thinking of the "rankings" awarded by this tournament: the winner, the person who only lost in the final round (and so comes in second), the two people who lost to those first two (and so share third and fourth places), etc. that's a much more complicated question!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Sample space Date
Multivariable sample space May 20, 2015
Is the sample space not a set under ZFL? Jul 17, 2014
Sigma Algebra on Omega (Sample Space) Oct 22, 2013
Sample spaces having equally likely outcomes Mar 16, 2013
Sample Space Oct 7, 2012