Independent and Dependent Events

New Concept Events can be independent (unaffected by previous outcomes) or dependent (affected by previous outcomes), each with a distinct method for calculating combined probability.

| Type of Events | Definition | Calculating the Probability | | : | : | : | | Independent Events | The outcome of the first event does not affect the second event. | $P(A \text{ and } B) = P(A) \cdot P(B)$ | | Dependent Events | The outcome of the first event does affect the second event. | $P(A \text{ and } B) = P(A) \cdot P(B)$, where $P(B)$ is calculated under the new conditions. | What’s next Next, you'll use this foundation to solve problems with tree diagrams, direct calculation, and the concept of odds.