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Unit: Probability

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Possible mastery points

Probability basics

Learn
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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Experimental probability
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Theoretical and experimental probabilities
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Making predictions with probability
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Intuitive sense of probabilities
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Probability models example: frozen yogurt
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Theoretical and experimental probability: Coin flips and die rolls
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Practice
Simple probabilityGet 5 of 7 questions to level up!
Experimental probabilityGet 5 of 7 questions to level up!
Making predictions with probabilityGet 5 of 7 questions to level up!
Comparing probabilitiesGet 5 of 7 questions to level up!
Probability modelsGet 5 of 7 questions to level up!

Quiz 1

Level up on the above skills and collect up to 500 Mastery points

Counting with permutations

Learn
Counting outcomes: flower pots
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Count outcomes using tree diagram
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Permutation formula
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Possible three letter words
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Ways to arrange colors
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Ways to pick officers
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Practice
The counting principleGet 3 of 4 questions to level up!
PermutationsGet 3 of 4 questions to level up!

Counting with combinations

Learn
Intro to combinations
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Combination formula
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Handshaking combinations
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Combination example: 9 card hands
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Practice
CombinationsGet 3 of 4 questions to level up!

Probability with counting, permutations, combinations

Learn
Probability with counting outcomes
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Example: All the ways you can flip a coin
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Example: Different ways to pick officers
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Example: Combinatorics and probability
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Mega millions jackpot probability
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Practice
Probability with permutations and combinationsGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 400 Mastery points

Multiplication rule for independent events

Learn
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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Practice
Probabilities of compound eventsGet 3 of 4 questions to level up!
Independent probabilityGet 3 of 4 questions to level up!

Multiplication rule for dependent events

Learn
Dependent probability introduction
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Independent & dependent probability
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Dependent probability: coins
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Practice
Dependent probabilityGet 3 of 4 questions to level up!

Addition rule for probability

Learn
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!

Quiz 3

Level up on the above skills and collect up to 400 Mastery points

Conditional probability

Learn
Conditional probability using two-way tables
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Simulation and randomness

Learn
Simulation and randomness: Random digit tables
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Expected value

Learn
Expected value (basic)
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Unit test

Level up on all the skills in this unit and collect up to 1300 Mastery points!

About this unit

Few things are certain in life. Probability gives us an idea of the likelihood or unlikelihood of different outcomes.