Joint Probability Distribution
Formula:P(B|A) = P(AB) / P(A)
Introduction to Joint Probability Distribution
Joint probability distribution is a technique used in probability theory to represent the probability of events A and B occurring together. In this formula, P(B|A) represents the conditional probability of event B given event A, P(AB) is the probability of both events A and B occurring, and P(A) is the probability of event A occurring.
Parameter usage:
pA
= probability of event ApB
= probability of event BpAB
= probability of both events A and B occurring
Output:
P(B|A)
= conditional probability of event B given event A
Data validation
The probabilities should be between 0 and 1.
Summary
This formula calculates the conditional probability of event B given event A using the probabilities of both events occurring together and the probability of event A occurring.