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Intro to theoretical probabilityProbability: the basicsSimple probability: yellow marbleSimple probability: non-blue marbleIntuitive sense of probabilitiesThe Monty Hall problem
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Simple probabilityGet 5 of 7 questions to level up!
Comparing probabilitiesGet 5 of 7 questions to level up!
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Probability with counting outcomesExample: All the ways you can flip a coinDie rolling probabilitySubsets of sample spaces
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Subsets of sample spacesGet 3 of 4 questions to level up!
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Intersection and union of setsRelative complement or difference between setsUniversal set and absolute complementSubset, strict subset, and supersetBringing the set operations together
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Basic set notationGet 5 of 7 questions to level up!
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Experimental probabilityTheoretical and experimental probabilitiesMaking predictions with probabilitySimulation and randomness: Random digit tables
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Experimental probabilityGet 5 of 7 questions to level up!
Making predictions with probabilityGet 5 of 7 questions to level up!
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Experimental versus theoretical probability simulationTheoretical and experimental probability: Coin flips and die rollsRandom number list to run experimentRandom numbers for experimental probabilityStatistical significance of experiment
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Interpreting results of simulationsGet 3 of 4 questions to level up!
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Probability with Venn diagramsAddition rule for probabilityAddition rule for probability (basic)
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Adding probabilitiesGet 3 of 4 questions to level up!
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Sample spaces for compound eventsCompound probability of independent eventsProbability of a compound eventCoin flipping probabilityFree-throw probabilityThree-pointer vs free-throw probabilityProbability without equally likely eventsIndependent events example: test takingDie rolling probability with independent eventsProbabilities involving "at least one" success
Practice
Sample spaces for compound eventsGet 3 of 4 questions to level up!
Independent probabilityGet 3 of 4 questions to level up!
Probabilities of compound eventsGet 3 of 4 questions to level up!
Probability of "at least one" successGet 3 of 4 questions to level up!
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Dependent probability introductionDependent probability: coinsDependent probability exampleIndependent & dependent probabilityThe general multiplication ruleDependent probability
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Dependent probabilityGet 3 of 4 questions to level up!
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Calculating conditional probabilityConditional probability explained visuallyConditional probability using two-way tablesConditional probability tree diagram exampleTree diagrams and conditional probabilityConditional probability and independenceConditional probability and independenceAnalyzing event probability for independence
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Calculating conditional probabilityGet 3 of 4 questions to level up!
Dependent and independent eventsGet 3 of 4 questions to level up!

About this unit

Probability tells us how often some event will happen after many repeated trials. This topic covers theoretical, experimental, compound probability, permutations, combinations, and more!