Advanced Sample Spaces, Combinatorics, and Geometric Probability

6 lessons

Goal

Model complex random phenomena using set operations, advanced combinatorial counting, and geometric area representations.

Set Notation for Unions, Intersections, and Complements in Sample Spaces

6 lessons

0 of 6 done

Set Notation for Unions, Intersections, and Complements in Sample SpacesUp next
Using Three-Set Venn Diagrams to Solve Probability ProblemsPremiumNot started yet
Applying the Fundamental Counting Principle with Positional RestrictionsNot started yet
Real-World Problems with Permutations and CombinationsNot started yet
One-Dimensional Geometric Probability and Waiting Time IntervalsNot started yet
Two-Dimensional Geometric Probability and Area ModelsNot started yet

Standards Covered

Curriculum Framework

6 lessons

Model complex random phenomena using set operations, advanced combinatorial counting, and geometric area representations.

6 lessons

Apply the addition and general multiplication rules, evaluate formal independence, and solve multi-stage conditional problems.

7 lessons

Construct discrete probability distributions, calculate expected values and variance, and model Bernoulli/Binomial processes.

6 lessons

Use expected value, decision trees, and Bayesian updates to evaluate fair games, insurance policies, medical tests, and business choices.