point 1 is just false. some examples where it's perfectly acceptable to use a bad rng in a safety critical system factoring/prime checking algorithms any type

point 1 is just false. some examples where it's perfectly acceptable to use a bad rng in a safety critical system factoring/prime checking algorithms any type of stimulation (eg for drug dosing/particle stimulation) sorting algorithms most graph based algorithms. in short, many real works problems are best solved by random algorithms, but the randomness can be of fairly low quality without causing problems.