Listing outcomes and samples spaces is a way to list all possible outcomes of an experiment. This can be very useful when working with probabilities where we are not given the sample space.

To demonstrate this, let’s say we have two coins; the set of all possible outcomes is as follows:

A total of 4 possible outcomes with 2 coins

Some more examples are shown below.

Example 1 – Sample space for 2 die

36 possible outcomes in total

Example 2 – Sample space for a 3-course menu

This gives us in total 12 possible outcomes

Example 3 – A ten sided die BUT the total outcome IS NOT 10…

Finding the Upper Bound and Lower Bound
Finding the probability of an Event using Outcomes