Key Concepts:
- Definition of Conditional Probability: The probability of an event occurring given that another event has already occurred.
- Computing Conditional Probability: (P(A | B) = \frac{P(A \cap B)}{P(B)}) where (P(A | B)) represents the probability of A occurring given B is true.
Skills Covered:
- Extracting data to compute conditional probability.
- Understanding probability in subset-based conditions.
Example Problems:
- A study groups participants into age brackets. If a participant is at least 30 years old, what is the probability they belong to Group A?
- A tree grove contains birch and maple trees. If a tree is at least 10 feet tall, what is the probability it is a maple tree?