Clogging probability as a function of clog length does not have any strong analogies in the clogging literature, due to the uniqueness of the discontinuous clogs discussed here. Investigating the probability of clogs as a function of length corroborates the trends seen in Figs. and. Fig. shows P(L > l) for six values of ∆P, with φ fixed at 0.10%. In the region where l ≤ 100, there is a slight non-monotonic dependence of P(L > l) on ∆P. But, generally, the likelihood of relatively short clogs is between ∼70-90% for l ≤ 100. However, significant effects of varying ∆P are observed where l > 100. Beyond l = 100, the three lower ∆P traces remain collapsed on each other. The probability of lengthy clogs, P(L > 400), however, is demonstrably higher when ∆P > 1000 mbar. While Fig. represents Batch 1, the presence of a critical ∆P matches the observations in Fig. , which represents both batches.