By replacing when you look at the (1), i have:
Which illustration of Bayes’ Theorem works together with the easy situation where you’ve got several hypotheses H and J that are collectively private and as you thorough, and you can where you’re trying to find \(\Pr(H \mid Age)\), which is, the possibility you to definitely H holds true offered research E. What which instance of Bayes’ Theorem does is give you to that have a means of figuring that likelihood, provided you to understands, first and foremost, \(\Pr(H)\) and you may \(\Pr(J)\)-that is, the latest an effective priori logical probabilities of \(H\) and you may \(J\)-and now have, 2nd, \(\Pr(Age \mid H)\) and \(\Pr(Elizabeth \mid J)\)-which is, the brand new analytical probability of \(E\) considering, respectively, only \(H\) and just \(J\). Continue reading “Yet, this is just a question of possibilities idea”