By the replacement in (1), you will find:

That it instance of Bayes’ Theorem deals with the straightforward circumstances in which one has a few hypotheses H and you can J that are mutually exclusive and jointly thorough, and where one is trying to find \(\Pr(H \mid E)\), that is, the possibility that H holds true given evidence Elizabeth. Exactly what so it exemplory instance of Bayes’ Theorem do are bring one having a means of calculating that possibilities, so long as one to understands, firstly, \(\Pr(H)\) and \(\Pr(J)\)-that is, the newest a good priori logical possibilities of \(H\) and you will \(J\)-and also, next, \(\Pr(Elizabeth \middle H)\) and you may \(\Pr(Elizabeth \mid J)\)-which is, the logical probability of \(E\) considering, correspondingly, merely \(H\) and just \(J\).

But now Draper brings up two substantive says. The very Romania bruder first is your an excellent priori probability of new theory of indifference isnt less than the a good priori probability of theism, so i have

Draper’s next substantive claim is that the conjunction out-of offres about pleasure and serious pain to which Draper relates, and you will which is depicted from the \(O\)’ is more probably be genuine should your theory of apathy is valid than if the theism is valid. […]