Write out a list. This method works well when dealing with different possible ordering of events. For example, the sample space is all possible heads and tails outcomes of flipping a coin three times. Begin by recording one possible option, such as "TTT" for three tails in a row, and continue listing until you have recorded all possible options. You can then use the list as your entire sample space.
Create a table. This method works best for sample spaces that are comprised of two elements. Create a table like a spreadsheet and have label the possible outcomes of one element across the top, and the outcomes of the other element across the left side. In each cell, place the different combinations that can be created using the values in the respective columns and rows.
Create a diagram. This option works well if there is multiple layers of information. For example, at a cookie shop, there is four different kinds of cookie dough that the customer can choose from. Also, the customer can choose three different sizes and seven different cookie toppings. Beginning the diagram with the dough options, you could draw connecting lines to the different sizes, and then connecting lines to the different combinations of toppings. All possible cookies would be the sample space.