Suppose you roll a 5-sided die and a 7-sided die. Determine the sample space.

Solution: A tree diagram would be way too messy to use for this scenario because you would have 7 branches coming off of each of the 5 numbers on the smaller die. However, we can use a table to organize this information in a much easier way.

It doesn't matter which die we put on the top or side.

For this example, I will put the smaller die on top and the larger die on the side. Fill in the rest of the cells with the appropriate numbers.