Curriculum placement
Geometry. This describes the skill, not a learner estimate.
Unions, intersections, and complements
Represent unions intersections and complements within a sample space
Problem types
- Unions, intersections and complements
- Write the complement of a set of outcomes as a set
Builds on
- Probability of compound events
- Odd and even numbers · Useful idea
Even and odd outcomes form sets. Listing their members helps count outcomes when finding probabilities.
- Sorting and counting · Useful idea
Counting the objects in a sorted category is counting the members of a set, which is how outcomes of an event are counted.
Leads to
- The addition rule for probability
- Finding a conditional probability · Extend the idea
Conditional probability restricts the sample space to one event set, then counts the part of another set inside it.
- Defining a random variable · Extend the idea
A random variable assigns a number to each outcome, so its values are described by event sets of outcomes.
Related skills
- Permutations and combinations · Shared foundations
Open the interactive map to explore lessons and skill connections.