Section 2.4: Conditional Probability

1. Define a partition of a set.
2. Define a partition of a sample space.
3. State the Law of Total Probability, and use the law to solve problems given the relevant information.
4. State Bayes’ Theorem, and use Bayes’ Theorem to solve problems given the relevant information.
5. Construct a tree diagram as a visual representation of the product rule for outcomes that occur in stages, and use tree diagrams to reason about the probabilities of sequences of events.

Section 2.5: Independence

1. State the rough intuition behind independence of two events.
2. State the four equivalent conditions needed for two events to be independent.
3. Use independence, in addition to the previous probability rules (addition rule, multiplication rule, complementation rule, etc.), to find the probability of a compound event.
4. Distinguish between independent and mutually exclusive events.
5. State the conditions that must be met for a collection of \(n\) events to be mutually independent.