1.9 Working with a Sample Space

As a way to begin lets define terms that we will use for the next activities.

Group Discussion Question

  • What is the definition of a sample space?
  • What is the definition of an event?
  • How are sample spaces, and event spaces related?

1.9.1 Working with a Sample Space, Part I

  1. You roll two six-sided dice:
    1. How would you define an appropriate sample space, \(\Omega\)?
    2. How many elements exist in \(\Omega\)?
    3. What is an appropriate event space, and how many elements does it have?
    4. Give an example of an event.

 
 
 
 
 

1.9.2 Working with a Sample Space, Part II

  1. For a random sample of 1,000 Berkeley students:
    1. How would you define an appropriate sample space, \(\Omega\)?
    2. How big is \(\Omega\)? How many elements does it contain?
    3. What is an example of an event for this scenario?
    4. Can a single person be represented in the space twice? Why or why not?