ABSTRACT
Consider n mutually exclusive events A 1 , A 2 , … , A n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429124754/be33da89-95f5-45e7-a067-f2fa13b8eb97/content/eq494.tif"/> whose union is the sample space S. Let B be any given event. Then Bayes’ theorem states() P ( A i \ B ) = P ( A i ) P ( B \ A i ) ∑ i = 1 n P ( A i ) P ( B \ A i ) ; i = 1 , 2 , … , n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429124754/be33da89-95f5-45e7-a067-f2fa13b8eb97/content/eq495.tif"/>
