Module 02 · Probability
Count the space before the chance.
Choose the counting model first, then restrict sample spaces and compare exact probabilities without hiding the denominator.
1workbench
7core skills
8notes
Open the workbench.
One focused place for the hard parts of Probability.
Optional topics (4)
Bayes posteriorUpdate a prior probability after observing evidence using a synchronized tree/table model.Expected valueCompute ΣxP(X=x) exactly for a discrete distribution.VarianceUse E[X²] − E[X]² to measure spread.Empirical frequencyCompare deterministic seeded simulation results with theoretical probability.
Practice this module.
Answer one question at a time.
Practice setQuestion 1 of 80 answered
- ProbabilityQuestion 1Unordered selections
Choose a group of 2 distinct objects from 7; order does not matter. How many groups are possible?
Concept notes.
Read before or after the workbench.
- Choosing a Counting ModelRead
- Inclusion–Exclusion for Two SetsRead
- Probability as a Measure of a Sample SpaceRead
- Conditional Probability Changes the UniverseRead
- Discrete distributions, expected value and varianceRead
- Independence Is a Probability RelationshipRead
- Theoretical probability and empirical frequencyRead
- Bayes and Total ProbabilityRead