UNIT 4: applications of probability
- Define a sample space and events within the sample space.
- Identify subsets from sample space given defined events, including unions, intersections and complements of events.
- Identify two events as independent or not.
- Explain properties of independence and conditional probabilities in context and simple English.
- Define and calculate conditional probabilities.
- Use the Multiplication Principle to decide if two events are independent and to calculate conditional probabilities.
- Construct and interpret two-way frequency tables of data for two categorical variables.
- Calculate probabilities from the table.
- Use probabilities from the table to evaluate independence of two variables.
- Recognize and explain the concepts of independence and conditional probability in everyday situations.
- Calculate conditional probabilities using the definition: “The conditional probability of A given B is the fraction of B’s outcomes that also belong to A" & interpret the probability in context
- Identify two events as disjoint (mutually exclusive).
- Calculate probabilities using the Addition Rule & interpret the probability in context.