5. Determine Outcomes of Compound Events
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The sample space of an experiment is the set of all possible outcomes.
Example Table:
| Outcomes | 1 | 2 | 3 |
|---|---|---|---|
| Red | Red, 1 | Red, 2 | Red, 3 |
| Blue | Blue, 1 | Blue, 2 | Blue, 3 |
| Green | Green, 1 | Green, 2 | Green, 3 |
We are given an experiment and want to represent the sample space by making a table. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of two stages.
To make the table, we will list the outcomes of the first spin in the left column and the outcomes of the second spin in the top row.
| Outcomes | 1 | 2 | 3 |
|---|---|---|---|
| Red | Red, 1 | Red, 2 | Red, 3 |
| Blue | Blue, 1 | Blue, 2 | Blue, 3 |
| Green | Green, 1 | Green, 2 | Green, 3 |
Keep in mind that there are several ways to make a table. The part that matters most is that the sample space ends up with all of the possible combinations.