- Describe and find conditional probabilities.
- Understand the concept of independent events.
Independent Events
Conditional probabilities provide another way to determine if two events are independent. Remember, independent events are those where the outcome of the first event does not impact the probability of the second event.
Independence using conditional probability
Two events [latex]A[/latex] and [latex]B[/latex] are independent if
- [latex]P(A|B)=P(A)[/latex]
- [latex]P(B|A)=P(B)[/latex]
The other way we identify independent events using probability is by determining if [latex]P(A \text{ and } B)=P(A)\cdot P(B)[/latex]