Bayes' Theorem states that the probability of an event A occurring given that event B has occurred is equal to the probability of event B occurring given that event A has occurred, multiplied by the probability of event A occurring and divided by the probability of event B occurring. Mathematically, it can be expressed as:
P(A|B) = P(B|A) * P(A) / P(B)
Where:
- P(A|B) is the probability of event A occurring given that event B has occurred
- P(B|A) is the probability of event B occurring given that event A has occurred
- P(A) is the probability of event A occurring
- P(B) is the probability of event B occurring