How do you find the sample space in probability?

The sample space in probability represents the set of all possible outcomes of a particular experiment or random process. To determine the sample space, one must enumerate every possible result that could occur. This can often be done through systematic listing, ensuring that each potential outcome is included.

For example, consider flipping a coin. The sample space would include two outcomes: heads and tails. Similarly, if you were to roll a six-sided die, the sample space would consist of the numbers 1 through 6, since these are all the possible results of that action.

In contrast, the other approaches do not correctly define how to identify the sample space. Using the difference between events focuses on comparing outcomes rather than listing them. Adding outcomes or multiplying occurrences pertains more to calculating probabilities or compound events rather than identifying the complete set of outcomes. Therefore, the method of listing all potential outcomes is the most effective and precise way to establish the sample space for any given probability experiment.