1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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 problem

  1. Oct 5, 2005 #1
    Determine the sample space for this random experiment:

    An urn contains six balls numbered 1-6. The random experiment consists of selecting five balls without replacement.
  2. jcsd
  3. Oct 6, 2005 #2


    User Avatar
    Homework Helper
    Gold Member

    A sample space is the set or collection of all possible outcomes of a probability experiment.
    Your experiment consists of selecting 5 balls from the urn consisting of 6 different balls without replacement. So, what are all the possible outcomes for this experiment?
    The balls are numbered 1-6. From this, one possible outcome is selecting the balls in the following order (1,2,3,4,5). Another way of selecting the balls would be (6,1,3,2,4).
    So, to find the sample space, you need the set of all such possible outcomes.
    Writing down the entire sample space would be a tedious task. Can you find the number of possible outcomes (Size of the sample space)?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook