Logo

Foundations of Probability

0:00 / 4:21
Introduction to Probability
0:00 - 0:25

An introduction to measuring uncertainty through the mathematical lens of probability.

Defining Likelihood
0:25 - 0:48

Defining probability as a scale between impossibility and certainty.

The Classical Method
0:48 - 1:08

Calculating probability when all outcomes are equally likely, such as in games of chance.

Relative Frequency Method
1:08 - 1:26

Using historical data and past occurrences to predict future events.

Subjective Probability
1:26 - 1:43

Assigning probability based on intuition, experience, and expert judgment.

Unions: The 'Or' Logic
1:43 - 2:03

Understanding the combination of sets through the union operation.

Intersections: The 'And' Logic
2:03 - 2:21

Finding common ground between events through intersection logic.

The Law of Addition
2:21 - 2:42

The formula for calculating the probability of one event or another occurring.

Conditional Probability
2:42 - 3:05

Calculating probability based on existing knowledge or prior events.

The Law of Multiplication
3:05 - 3:24

Finding the joint probability of two events occurring together.

Bayes' Rule
3:24 - 3:46

Updating your initial beliefs when new evidence comes to light.

Summary of Laws
3:46 - 4:08

A quick review of the core methods and laws covered in the lecture.

Mastering Uncertainty
4:08 - 4:21

Closing thoughts on the power of probability in navigating uncertainty.