 Some have found this consequence troubling enough that they have endorsed an alternative account of conditional probability that gives up the Law of Total Probability, and instead insists that \(P(A|B)\) has a unique value regardless of which alternatives to \(B\) are under consideration. However, this also has some unpalatable consequences. Since \(P(A)\) is no longer the average of \(P(A|B)\) where \(B\) ranges over the elements of a partition, this means that there are some partitions such that every element of the partition is positively correlated with \(A\). Furthermore, the conditional probability functions generated in this way no longer satisfy countable additivity (Kadane, Schervish, and Seidenfeld 1996, Seidenfeld, Schervish, and Kadane 2001, 2013).