In probability theory, a conditional probability measures theprobability of an event given another event has occurred. Theconditional probability of A given B, denoted by P(A|B), is definedby P(A|B) = P(A ? B) P(B) , provided P(B) > 0. Show that theconditional probability defined above is a probability setfunction. That is show that a) P(A|B) ? 0 [4 Marks] b) P(S|B) = 1.[4 Marks] c) P( S Ai |B) = PP(Ai |B) [4 Marks]
