Section 3.2: Fundamentals (of Probability)
- Define event, simple event, and sample space.
- Explain the relative frequency definition of probability.
- Estimate probabilities as relative frequencies given frequency data.
- Determine the events from a word problem (like the examples on page 95 - 97 and the homework) and compute the probability of an event using the classical approach to probability.
- Specify the allowed range for a probability, and identify probabilities associated with certain, likely, unlikely, and impossible events.
- Convert from probabilities given as proportions to probabilities given as percentages and vice versa.
- Relate the probability that an event does not occur to the probability that the event does occur.
Section 3.3: Addition Rule (of Probability)
- Define a compound event.
- Explain the meaning of ‘or’ in the statement “\(A\) or \(B\)” occurs, where \(A\) and \(B\) are events. Important: It is not the common English meaning of ‘or’.
- State the addition rule for probabilities.
- Use Venn diagrams to reason about the probability of compound events.
- Compute the probability of compound events, given the appropriate frequencies.
- Define complementary events, and relate the probability of an event to the probability of its complement.