They did keep it in mind, that's why they require 30 matches, which gets the false positive rate down to 1 in a trillion per year, so on average it will happen

They did keep it in mind, that's why they require 30 matches, which gets the false positive rate down to 1 in a trillion per year, so on average it will happen about 1 per millennium, given a billion users. So that's per photo library, not per photo. The rate per photo in their testing was 3 in 100 million, then they added a 30x safety margin and assumed it's actually 1 in a million. https://www.zdnet.com/article/apple-to-tune-csam-system-to-keep-one-in-a-trillion-false-positive-deactivation-threshold/ https://www.zdnet.com/article/apple-to-tune-csam-system-to-k...