I haven't seen it since I saw it in cinemas, but thinking back, shouldn't the precog's visions be used as a bayesian prior? If they see a guy who is just done s

I haven't seen it since I saw it in cinemas, but thinking back, shouldn't the precog's visions be used as a bayesian prior? If they see a guy who is just done shooting someone, shouldn't that be the starting point for gathering a little more evidence? If it turns out he doesn't have a gun or training in how to use one, maybe let him go? If you see he goes to shop for a gun and spends some days on the range, evidence is stronger by any account. If he then starts sending threatening letters to his ex with cut up old bits of newspaper, that's some more evidence. Maybe do a RCT when goes to visit her, then you can save half of them potentially. It's a bit grating how they skip around the subject of how exactly they know their prediction method works.