 In a probabilistic inductive logic the degree to which the evidence \((c\cdot e)\) supports a hypothesis \(h_i\) relative to background and auxiliaries \(b\) is represented by the posterior probability of \(h_i\), \(P_{\alpha}[h_i \pmid b\cdot c\cdot e]\), according to an evidential support function \(P_{\alpha}\). It turns out that the posterior probability of a hypothesis depends on just two kinds of factors: (1) its prior probability, \(P_{\alpha}[h_i \pmid b]\), together with the prior probabilities of its competitors, \(P_{\alpha}[h_j \pmid b]\), \(P_{\alpha}[h_k \pmid b]\), etc.; and (2) the likelihood of evidential outcomes \(e\) according to \(h_i\) in conjunction with with \(b\) and \(c\), \(P[e \pmid h_i\cdot b\cdot c]\), together with the likelihoods of these same evidential outcomes according to competing hypotheses, \(P[e \pmid h_j\cdot b\cdot c]\), \(P[e \pmid h_k\cdot b\cdot c]\), etc. We will now examine each of these factors in some detail. Following that we will see precisely how the values of posterior probabilities depend on the values of likelihoods and prior probabilities.