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# Probability

AP Stats: UNC (BI), UNC‑2 (EU), VAR (BI), VAR‑4 (EU)

AP Stats: UNC (BI), UNC‑2 (EU), UNC‑2.A (LO), UNC‑2.A.1 (EK), UNC‑2.A.2 (EK), UNC‑2.A.3 (EK), UNC‑2.A.4 (EK), UNC‑2.A.5 (EK), UNC‑2.A.6 (EK), VAR (BI), VAR‑4 (EU), VAR‑4.A (LO), VAR‑4.A.1 (EK), VAR‑4.A.2 (EK), VAR‑4.A.3 (EK), VAR‑4.B (LO), VAR‑4.B.1 (EK)

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Intro to theoretical probabilityExperimental versus theoretical probability simulationTheoretical and experimental probability: Coin flips and die rollsRandom number list to run experimentRandom numbers for experimental probabilityStatistical significance of experiment

Practice

Interpreting results of simulationsGet 3 of 4 questions to level up!

AP Stats: VAR (BI), VAR‑4 (EU), VAR‑4.C (LO), VAR‑4.C.2 (EK), VAR‑4.E (LO), VAR‑4.E.4 (EK)

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Probability with Venn diagramsAddition rule for probabilityAddition rule for probability (basic)

Practice

Two-way tables, Venn diagrams, and probabilityGet 3 of 4 questions to level up!

AP Stats: VAR (BI), VAR‑4 (EU), VAR‑4.A (LO), VAR‑4.A.4 (EK), VAR‑4.D (LO), VAR‑4.D.2 (EK), VAR‑4.E (LO), VAR‑4.E.1 (EK), VAR‑4.E.2 (EK)

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Compound probability of independent eventsIndependent events example: test takingFree-throw probabilityThree-pointer vs free-throw probabilityDependent probability introductionThe general multiplication ruleCoin flipping probabilityProbabilities involving "at least one" success

Practice

Independent probabilityGet 3 of 4 questions to level up!

Probabilities of compound eventsGet 3 of 4 questions to level up!

Dependent probabilityGet 3 of 4 questions to level up!

Probability of "at least one" successGet 3 of 4 questions to level up!

AP Stats: VAR (BI), VAR‑4 (EU), VAR‑4.D (LO), VAR‑4.D.1 (EK), VAR‑4.E (LO), VAR‑4.E.1 (EK), VAR‑4.E.2 (EK)

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Conditional probability and independenceConditional probability with Bayes' TheoremConditional probability using two-way tablesConditional probability and independenceConditional probability tree diagram exampleTree diagrams and conditional probability

Practice

Calculating conditional probabilityGet 3 of 4 questions to level up!

### About this unit

This unit on probability covers how to use simulations to calculate experimental probabilities and a variety of other methods (the addition rule, the multiplication rule, conditional probability) for calculating probability. Later, we'll use our understanding of probability to answer statistical questions.AP® is a registered trademark of the College Board, which has not reviewed this resource.