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Law of total probability
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==Other names== The term '''''law of total probability''''' is sometimes taken to mean the '''law of alternatives''', which is a special case of the law of total probability applying to [[discrete random variable]]s.{{Citation needed|date=September 2010}} One author uses the terminology of the "Rule of Average Conditional Probabilities",<ref name="Pitman1993">{{cite book|author=Jim Pitman|title=Probability|url=https://books.google.com/books?id=AoDkBwAAQBAJ&q=pitman%20probability&pg=PA41|year=1993|publisher=Springer|isbn=0-387-97974-3|page=41}}</ref> while another refers to it as the "continuous law of alternatives" in the continuous case.<ref name="Baclawski2008">{{cite book|author=Kenneth Baclawski|title=Introduction to probability with R|url=https://books.google.com/books?id=Kglc9g5IPf4C&pg=PA179|year=2008|publisher=CRC Press|isbn=978-1-4200-6521-3|page=179}}</ref> This result is given by Grimmett and Welsh<ref>''Probability: An Introduction'', by [[Geoffrey Grimmett]] and [[Dominic Welsh]], Oxford Science Publications, 1986, Theorem 1B.</ref> as the '''partition theorem''', a name that they also give to the related [[law of total expectation]].
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