what is joint probability 
the term joint probability refers to a statistical measure that calculates the likelihood of two events occurring together and at the same point in time put simply a joint probability is the probability of event y occurring at the same time that event x occurs in order for joint probability to work both events must be independent of one another which means they aren t conditional or don t rely on each other joint probabilities can be visualized using venn diagrams formula and calculation of joint probabilitynotation for joint probability can take a few different forms the following formula represents the probability of events intersection p x y where x y two different events that intersect p x and y p x y the joint probability of x and y begin aligned p left x bigcap y right textbf where x y text two different events that intersect p x text and y p xy text the joint probability of x and y end aligned p x y where x y two different events that intersectp x and y p xy the joint probability of x and y although joint probability can help you determine the likelihood of two different events happening at the same time it does not indicate how the two events may influence each other 