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Unit: Get ready for probability and combinatorics

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Basic theoretical probability

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Intro to theoretical probability
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Probability: the basics
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Simple probability: yellow marble
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Simple probability: non-blue marble
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Intuitive sense of probabilities
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The Monty Hall problem
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Practice
Simple probabilityGet 5 of 7 questions to level up!
Comparing probabilitiesGet 5 of 7 questions to level up!

Probability using sample spaces

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Probability with counting outcomes
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Example: All the ways you can flip a coin
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Die rolling probability
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Subsets of sample spaces
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Practice
Subsets of sample spacesGet 3 of 4 questions to level up!

Basic set operations

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Intersection and union of sets
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Relative complement or difference between sets
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Universal set and absolute complement
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Subset, strict subset, and superset
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Bringing the set operations together
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Practice
Basic set notationGet 5 of 7 questions to level up!

Experimental probability

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Experimental probability
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Theoretical and experimental probabilities
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Making predictions with probability
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Simulation and randomness: Random digit tables
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Practice
Experimental probabilityGet 5 of 7 questions to level up!
Making predictions with probabilityGet 5 of 7 questions to level up!

Randomness, probability, and simulation

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