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Probability
Probability
AP Stats: UNC (BI), UNC‑2 (EU), VAR (BI), VAR‑4 (EU)
290 / 700 (41% Mastered)
Mastery points • Level 2
A list of progress levels towards mastery. Each section presents a sub-progress percentage. Once you've reached 100% on each level, you've achieved mastery. Tab to the control panel and use left/right keys to navigate.
Level 1
Level 2
60 points to Level 3
235 points to Level 4
340 points to Level 5 (Mastered)
Level 6

Skill Summary
Legend (Opens a modal)
Randomness, probability, and simulation
Addition rule
Quiz 1: 5 questions
Practice what you’ve learned, and level up on the above skills
Multiplication rule
Conditional probability
Quiz 2: 5 questions
Practice what you’ve learned, and level up on the above skills
Unit test
Test your knowledge of all skills in this unit
Randomness, probability, and simulation
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)
Learn
Intro to theoretical probability
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Experimental versus theoretical probability simulation
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Theoretical and experimental probability: Coin flips and die rolls
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Random number list to run experiment
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Random numbers for experimental probability
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Statistical significance of experiment
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Practice
Interpreting results of simulations
Proficient
Nice! Ready to move on
Addition rule
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)
Learn
Probability with Venn diagrams
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Addition rule for probability
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Addition rule for probability (basic)
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Practice
Two-way tables, Venn diagrams, and probability
Familiar

Try again
Quiz 1
Level up on the above skills and collect up to 200 Mastery points

Multiplication rule
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)
Learn
Compound probability of independent events
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Independent events example: test taking
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Free-throw probability
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Three-pointer vs free-throw probability
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Dependent probability introduction
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The general multiplication rule
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Coin flipping probability
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Probabilities involving "at least one" success
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Practice
Independent probability
Proficient
Nice! Ready to move on
Probabilities of compound events
Proficient
Nice! Ready to move on
Up next for you:
Dependent probability
Get 3 of 4 questions to level up!

Try again
Probability of "at least one" success
Get 3 of 4 questions to level up!

Practice
Conditional probability
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)
Learn
Conditional probability and independence
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Conditional probability with Bayes' Theorem
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Conditional probability using two-way tables
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Conditional probability and independence
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Conditional probability tree diagram example
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Tree diagrams and conditional probability
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Practice
Calculating conditional probability
Get 3 of 4 questions to level up!

Practice
Quiz 2
Level up on the above skills and collect up to 500 Mastery points

Unit test
Level up on all the skills in this unit and collect up to 700 Mastery points!

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.

Dependent probability
Problem
A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?