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Randomness, probability, and simulation

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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 simulationsGet 3 of 4 questions to level up!

Addition rule

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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 probabilityGet 3 of 4 questions to level up!

Multiplication rule

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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 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!

Conditional probability

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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 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.