Bayes' Theorem
A formula for updating the probability of an event based on new evidence.
Bayes' Theorem
Allows us to find $P(A_i|B)$ — the probability of a particular cause $A_i$, given that we observe outcome $B$:
$$P(A_i|B) = \frac{P(A_i)P(B|A_i)}{\sum_{j} P(A_j)P(B|A_j)}$$Note: Widely used in fields like medical diagnosis and spam filtering, to update beliefs based on new evidence.
Lesson 31 of 32