STAT 400 Lecture Notes - Lecture 1: Sample Space, Spark Plug, Silver Springs, Florida

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 400
• Professor: Tim Pilachowski

Document Summary

Stat 400, section 2. 5 independence of events notes by tim pilachowski. In conditional probability an outcome or event b is dependent upon another outcome or event a. P(b | a) = p(b given a) = probability that b will happen given the prior condition that a has already happened. The formal definition and formula for conditional probability is. Fep number of number number number events of of of in events events events. S number of events in number of events in. If the presence or absence of the condition (event f) has no effect on the probability of the second event (e), then the two events are independent. Formally, if two events e and f are independent then. P(e | f) = p(e) and p(f | e) = p(f). Either of these can be used to prove or disprove independence of two events. A series of events is independent if and only if.