Probability Principles
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What’s Included
Overview of Probability
Overview of Probability
In this lesson, we'll learn what a probability is, and learn about important probability concepts like events, complements and expected value. We'll also learn how to calculate basic probabilities.
Using a Sample Space
Using a Sample Space
A sample space helps you visualize all the possible outcomes of a process. Learn how to create a sample space and use it to calculate probabilities in this lesson.
Calculating Probabilities of Multiple Events
Calculating Probabilities of Multiple Events
We often want to know if one event and another event will occur, or if one event or another event will occur. Learn how to calculate probabilities like this in this lesson.
Understanding Conditional Probability
Understanding Conditional Probability
Conditional probabilities are useful when the probability of one event depends on the outcome of another event. Learn how to use conditional probabilities in this lesson.
Applying Bayes' Theorem
Applying Bayes' Theorem
Bayes' Theorem provides a formula that we can use to relate conditional probabilities. Learn how to use Bayes' Theorem in this lesson.
Using a Probability Tree
Using a Probability Tree
Probability trees can be used to visualize a probability problem with multiple sequential components. Learn how to create one of these trees and use it to calculate probabilities in this lesson.
Calculating Permutations
Calculating Permutations
Permutations tell us how many ways we can arrange a set of objects, and are used in many probability problems. Learn how to calculate the number of permutations a problem has in this lesson.
Calculating Combinations
Calculating Combinations
Combinations are a related concept to permutations, where the order of the selected items is not important. Learn how to calculate combinations in this lesson.
Understanding Sampling
Understanding Sampling
Sampling is a common application of the concepts of permutations and combinations. Learn how to calculate probabilities associated with sampling in this lesson, as well as the effect that replacement has on these probabilities.
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