Public learning track
Compound Probability Rules, Conditional Reasoning, and Independence
12th Grade · Math · Open Global Math
6 lessons
Goal
Apply the addition and general multiplication rules, evaluate formal independence, and solve multi-stage conditional problems.
Featured Diagrams
The Addition Rule for Disjoint and Overlapping Events
6 lessons
0 of 6 done
- 1The Addition Rule for Disjoint and Overlapping EventsUp nextStart
- 2Using the Conditional Probability Formula in ContextPremiumNot started yet
- 3General Multiplication Rule with Two-Way TablesNot started yet
- 4Testing for Independence Using the Multiplication RuleNot started yet
- 5Sampling With and Without Replacement in Multi-Stage Probability TreesNot started yet
- 6The Law of Total Probability and Reverse ConditioningNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
6 lessons
Advanced Sample Spaces, Combinatorics, and Geometric Probability
Model complex random phenomena using set operations, advanced combinatorial counting, and geometric area representations.
2
6 lessons
Compound Probability Rules, Conditional Reasoning, and Independence
Apply the addition and general multiplication rules, evaluate formal independence, and solve multi-stage conditional problems.
3
7 lessons
Discrete Random Variables and Probability Distributions
Construct discrete probability distributions, calculate expected values and variance, and model Bernoulli/Binomial processes.
4
6 lessons
Decision Analysis, Expected Value, and Risk Modeling
Use expected value, decision trees, and Bayesian updates to evaluate fair games, insurance policies, medical tests, and business choices.