Sample space

Definition

Sample space is the set of all possible outcomes in a probability experiment. It provides a comprehensive list of everything that could happen during the experiment.

5 Must Know Facts For Your Next Test

1. The sample space can be represented using tree diagrams or tables to visualize all possible outcomes.
2. Each outcome in the sample space is known as an 'element' or 'sample point'.
3. The notation for sample space is typically S or Ω.
4. In some experiments, especially those involving dice or coins, the sample space can be finite and easy to enumerate.
5. Sample spaces can be either discrete (countable) or continuous (uncountable), depending on the nature of the experiment.

Review Questions

• What is a sample space and how is it typically notated?
• How would you represent a sample space for flipping two coins using a tree diagram?
• Can you distinguish between a discrete and continuous sample space with examples?

Related terms

Outcome: A single result from the set of all possible results in a probability experiment.

Event: A subset of the sample space, often representing one or more outcomes.

Tree Diagram: A graphical representation used to map out all possible outcomes of an event, showing branches for each decision point.