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Probability and combinatorics

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Intro to theoretical probabilitySimple probability: yellow marbleSimple probability: non-blue marble
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Simple probabilityGet 5 of 7 questions to level up!
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Probability with Venn diagramsAddition rule for probability
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Die rolling probabilityProbability with counting outcomesCompound events example with tree diagram
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Probabilities of compound eventsGet 3 of 4 questions to level up!
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Compound probability of independent eventsProbability without equally likely eventsIndependent events example: test takingDie rolling probability with independent eventsCoin flipping probabilityFree-throw probabilityThree-pointer vs free-throw probability
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Independent probabilityGet 3 of 4 questions to level up!
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Dependent probability introductionDependent probability: coinsDependent probability exampleIndependent & dependent probabilityThe Monty Hall problem
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Dependent probabilityGet 3 of 4 questions to level up!
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Factorial and counting seat arrangementsPermutation formulaPossible three letter wordsZero factorial or 0!Ways to arrange colorsWays to pick officers
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PermutationsGet 3 of 4 questions to level up!
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Intro to combinationsCombination formulaHandshaking combinationsCombination example: 9 card hands
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CombinationsGet 3 of 4 questions to level up!
Permutations & combinationsGet 5 of 7 questions to level up!
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Probability using combinationsProbability & combinations (2 of 2)Probability with counting outcomesGetting exactly two heads (combinatorics)Exactly three heads in five flipsGeneralizing with binomial coefficients (bit advanced)Example: Different ways to pick officersExample: Combinatorics and probabilityExample: Lottery probabilityMega millions jackpot probabilityBirthday probability problem
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About this unit

Probability and combinatorics are the conceptual framework on which the world of statistics is built. Besides this important role, they are just fascinating and surprisingly fun!