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Unit: Probability and combinatorics

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Venn diagrams and the addition rule

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

Multiplication rule for probabilities

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Probability with general multiplication ruleGet 3 of 4 questions to level up!
Interpret probabilities of compound eventsGet 3 of 4 questions to level up!

Quiz 1

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Permutations

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PermutationsGet 3 of 4 questions to level up!

Combinations

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CombinationsGet 3 of 4 questions to level up!

Probability using combinatorics

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Probability with permutations and combinationsGet 3 of 4 questions to level up!

Quiz 2

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Probability distributions introduction

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Graph probability distributionsGet 3 of 4 questions to level up!
Probability with discrete random variablesGet 3 of 4 questions to level up!

Theoretical & empirical probability distributions

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Develop probability distributions: Theoretical probabilitiesGet 3 of 4 questions to level up!
Develop probability distributions: Empirical probabilitiesGet 3 of 4 questions to level up!

Decisions with probability

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Using probabilities to make fair decisions example
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Use probabilities to make fair decisionsGet 3 of 4 questions to level up!

Quiz 3

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Expected value

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Mean (expected value) of a discrete random variableGet 3 of 4 questions to level up!
Interpret expected valueGet 3 of 4 questions to level up!
Find expected payoffsGet 3 of 4 questions to level up!

Quiz 4

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Unit test

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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!