🎯 Bayes' Theorem

Inverse probability problem

Calculate the conditional probability of an event, given prior knowledge.

Theory:

Bayes’ Theorem states that the probability of event $A$ given that $B$ has occurred is:

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

Where:

• $P(A|B)$: Posterior probability (probability of $A$ given $B$)
• $P(B|A)$: Likelihood (probability of $B$ given $A$)
• $P(A)$: Prior probability of $A$