If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

0

Possible mastery points

Basic theoretical probability

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

Probability using sample spaces

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

Basic set operations

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

Quiz 1

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

Experimental probability

Learn
Experimental probability
(Opens a modal)
Theoretical and experimental probabilities
(Opens a modal)
Making predictions with probability
(Opens a modal)
Simulation and randomness: Random digit tables
(Opens a modal)
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

Learn
Experimental versus theoretical probability simulation
(Opens a modal)
Theoretical and experimental probability: Coin flips and die rolls
(Opens a modal)
Random number list to run experiment
(Opens a modal)
Random numbers for experimental probability
(Opens a modal)
Statistical significance of experiment
(Opens a modal)
Practice
Interpreting results of simulationsGet 3 of 4 questions to level up!

Addition rule

Learn
Probability with Venn diagrams
(Opens a modal)
Addition rule for probability
(Opens a modal)
Addition rule for probability (basic)
(Opens a modal)
Practice
Adding probabilitiesGet 3 of 4 questions to level up!
Two-way tables, Venn diagrams, and probabilityGet 3 of 4 questions to level up!

Quiz 2

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

Multiplication rule for independent events

Learn
Sample spaces for compound events
(Opens a modal)
Compound probability of independent events
(Opens a modal)
Probability of a compound event
(Opens a modal)
"At least one" probability with coin flipping
(Opens a modal)
Free-throw probability
(Opens a modal)
Three-pointer vs free-throw probability
(Opens a modal)
Probability without equally likely events
(Opens a modal)
Independent events example: test taking
(Opens a modal)
Die rolling probability with independent events
(Opens a modal)
Probabilities involving "at least one" success
(Opens a modal)
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!

Multiplication rule for dependent events

Learn
Dependent probability introduction
(Opens a modal)
Dependent probability: coins
(Opens a modal)
Dependent probability example
(Opens a modal)
Independent & dependent probability
(Opens a modal)
The general multiplication rule
(Opens a modal)
Dependent probability
(Opens a modal)
Practice
Dependent probabilityGet 3 of 4 questions to level up!

Conditional probability and independence

Learn
Calculating conditional probability
(Opens a modal)
Conditional probability explained visually
(Opens a modal)
Conditional probability using two-way tables
(Opens a modal)
Conditional probability tree diagram example
(Opens a modal)
Tree diagrams and conditional probability
(Opens a modal)
Conditional probability and independence
(Opens a modal)
Conditional probability and independence
(Opens a modal)
Analyzing event probability for independence
(Opens a modal)
Practice
Calculating conditional probabilityGet 3 of 4 questions to level up!
Dependent and independent eventsGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 700 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1600 Mastery points!

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!