When narrowing uncertainties, deductive reasoning can be more helpful than inductive. I think in the application of deductive reasoning, however, parallel threads are important. I consider reasoning akin to navigating a maze. If one can follow several likes of deductive reasoning simultaneously - or split up the task, then elimination of improbabilities won't be necessary, as there will be some that navigate the more narrow, less likely passageways. The main line of deductive reasoning may well be correct in the end, but I think of criminal work or solving mysteries for example; as new facts enter into the case, very sophisticated lines of deductive reasoning may have to take a lower peg in the chain of priority, although still being followed. Sometimes rejecting the entire line of reasoning based on a single piece of evidence turns out to be hasty as well. It's why I believe in parallel threads. I don't believe in elimination of improbabilities entirely but rather lowering them in priority, for sometimes the improbable is simply missing a single datum.