 The Likelihood Ratio Convergence Theorem comes in two parts. The first part applies only to those experiments or observations \(c_k\) within the total evidence stream \(c^n\) for which some of the possible outcomes have 0 likelihood of occurring according to hypothesis \(h_j\) but have non-0 likelihood of occurring according to \(h_i\). Such outcomes are highly desirable. If they occur, the likelihood ratio comparing \(h_j\) to \(h_i\) will become 0, and \(h_j\) will be falsified. So-called crucial experiments are a special case of this, where for at least one possible outcome \(o_{ku}\), \(P[o_{ku} \pmid h_{i}\cdot b\cdot c_{k}] = 1\) and \(P[o_{ku} \pmid h_{j}\cdot b\cdot c_{k}] = 0\). In the more general case \(h_i\) together with b says that one of the outcomes of \(c_k\) is at least minimally probable, whereas \(h_j\) says that this outcome is impossible—i.e., \(P[o_{ku} \pmid h_{i}\cdot b\cdot c_{k}] \gt 0\) and \(P[o_{ku} \pmid h_{j}\cdot b\cdot c_{k}] = 0\). It will be convenient to define a term for this situation.