Probability and Statistics

Bayes Theorem

Concept that provides a way to update probabilities based on new evidence or information.

$$P(A|B)=\frac{P(B|A)\times P(A)}{P(B)}$$

• $P(A|B)$ is the posterior probability of event $A$ given $B$
• $P(B|A)$ is the likelihood of event $B$ given $A$
• $P(A)$ is the prior probability of A
• $P(B)$ is the total probability of B