Key Concepts:
- Definition of Complementary Probability: The probability that an event does not occur is given by: (P(\text{not A}) = 1 - P(A))
- Applications in Probability Calculations: This is useful when it is easier to determine the probability of the opposite event.
Skills Covered:
- Using complementary probability to simplify calculations.
- Recognizing when complementary probability is the best approach.
Example Problems:
- A bag contains red, blue, and yellow cubes. What is the probability of selecting a cube that is not blue?
- In a group of 150 attendees, 90 are assigned to Group A or B. What is the probability that a randomly selected attendee is in Group C?