Search⌘ K
AI Features
Home
Courses
An Introductory Guide to Data Science and Machine Learning

Conditional Probability and Bayes’ Theorem

Explore the concepts of conditional probability and Bayes Theorem. Learn how to compute the probability of an event given another event has occurred and apply Bayes Theorem to revise probabilities using prior knowledge. This lesson equips you with essential probability skills for data analysis and statistical inference.

We'll cover the following...

Conditional probability

The probability of an event B occurring when an event A has occurred is called conditional probability. It is denoted as P(B∣A)P(B|A), and it is read as “the probability that B occurs given A has occurred”.

It is calculated using the formula below.

P(B | A) = P (A ∩\cap B) / P(A) given P(A) > 0

Here, P(A)P(A) is the probability of AA and $P(A ∩\cap B)$ is the joint probability of AA ...