Section 2.1: Sample Spaces and Events

1. Define an experiment, outcome, and sample space in the context of the mathematical model of an experiment.
2. State the sample space of an experiment given a verbal description of the experiment.
3. Compare and contrast discrete and continuous sample spaces.
4. Define an event in the context of the mathematical model of an experiment.
5. Describe what it means for an event to occur.
6. State meaning of set-union \(\cup\), set-intersect \(\cap\), and set-complement \('\) from set theory.
7. Use a Venn diagram to reason about set operations.
8. State the meaning of set-union \(\cup\), set-intersect \(\cap\), and set-complement \('\) when applied to events.
9. State what it means for two sets / events to be disjoint / mutually exclusive.

Section 2.2: Axioms, Interpretations, and Properties of Probability

1. Define a set function and give examples from earlier courses in mathematics.
2. State the three axioms that a set function must satisfy to be a probability set function.
3. Compute probabilities of events defined using set operations using the results derived from the three axioms of probability theory.
4. Define a simple event and use simple events to compute the probability of a non-simple event.