AMAT 19Probability as a Measure of a Sample Space
More
ReferenceSavedSettings
Local first

Probability as a Measure of a Sample Space

Core study note

Original study note aligned to the current AMAT 19 course outline

Try it interactively →Practice this concept

A probability model starts with a sample space of possible outcomes and events that select subsets of that space. For equally likely finite outcomes,

P(A) = |A| / |S|.

Keep the numerator and denominator tied to the model: the numerator counts outcomes in the event, while the denominator counts outcomes in the active sample space. Exact fractions preserve structure that can disappear if everything is rounded early.

Probability values must stay between 0 and 1, and the probability of the entire sample space is 1.

Search AMAT 19

Study QueueRecommended next work and recent sessionsWorkspaceCourse MapFive connected AMAT 19 modulesWorkspaceProgressSkill-level learning evidenceWorkspace
Logic WorkbenchLogic · Build a truth table and test an argument against every assignment.WorkbenchesProbability WorkbenchProbability · Explore conditional probability, discrete distributions, random variables, and supplemental inference.WorkbenchesMoney TimelineFinancial Mathematics · Place cash flows on a timeline and move every amount to one focal date.WorkbenchesMatrices & SystemsMatrices & Systems · Inspect exact matrix operations, solve systems, reduce rows, and find inverses.Workbenches
SavedBookmarks and saved problemsLibraryFormula & Notation ReferenceSymbols, formulas, and repair linksLibrarySettingsNotation, motion, and display preferencesLibrary
Mixed Course CheckWhole-course check with feedback after submissionChecks

11 results · use ↑ ↓ and Enter

Developer contact

Connect with the person building and maintaining AMAT 19 Study Lab.

Aedrian PonceFounder & Lead Developer