# Probability Syllabus

## Probability

This course covers Probability and consists of 10 topics.

Introduction to Probability – In this video we define the concept of an experiment, sample space, and solve some simple probability problems.
Addition Rule of Probability and Mutually Exclusive Events – In this video we define mutually exclusive events and show how to compute P(A or B) for events A and B.
The Rule of Complements – In this video we explain how to use the Rule of Complements to solve tricky probability problems.
Independent Events – In this video we define independent events and show how easy it is to compute P(A and B) for independent events.
Conditional Probability – In this video we show how to compute the probability of one event given that another event has occurred.
Total Probability – Leading up to Bayes theorem, In this video we  develop the Law of Total Probability.
Bayes Theorem – In this video we show Bayes Theorem allows us to use information to update probabilities.
Theoretical Basis for Naive Bayes – In this video we show how Bayes Rule can be used to efficiently classify observations into one of several groups
Calculating Likelihoods and Prior Probabilities for Naïve Bayes – In this video we calculate the prior probabilities and likelihoods needed to implement Naïve Bayes
Using Naïve Bayes to Compute Posterior Probabilities – In this video we show how to use Naïve Bayes to compute for any observation posterior probabilities for each group