Up to now, this is just a matter of probability idea
By replacing in the (1), you will find:
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Which example of Bayes’ Theorem works closely with the straightforward case where you have a few hypotheses H and you may J that are collectively private and as one thorough, and you may where you’re looking \(\Pr(H \middle Age)\), which is, your chances one to H is valid given research Elizabeth. Exactly what it exemplory case of Bayes’ Theorem does was bring that which have a means of figuring you to definitely chances, provided that knows, first and foremost, \(\Pr(H)\) and you can \(\Pr(J)\)-that’s, the a great priori analytical likelihood of \(H\) and you will \(J\)-and now have, next, \(\Pr(E \mid H)\) and \(\Pr(E \mid J)\)-which is, the brand new analytical odds of \(E\) considering, respectively, only \(H\) and simply \(J\). (more…)