> Even rare events become very likely when you repeat it.
True, but in my opinion 5 innocent dead out of hundred is not remotely small. For any serious automated decision anything larger than per million is completely unacceptable. (For reference, among Germans the amount of Jews killed by Nationalsocialists, is "only" 2.3‰ [160k vs. 69M] I don't think anyone considers that to be small.)
> A 5% wrong chance means half are dead after 10 tries
Actually ln(0.5)/ln(0.95) ≈ 13.513