A procedure for police is being suggested, where the police raid garbage bins and stuff everywhere for DNA samples for everyone they can, as often as possible to make a public dna database. Its your choice whether it goes through or not.

They only raid stuff they already can access without a warrant.

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In this hypothetical, its estimated through very through means that should be trusted that:

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Crime would be solved 50% faster

Unsolved cases would go down by 80%

Cases that are unsolved long enough for other people to become victimized go down 70%

False arrests go down 95%

False convictions go down by around 20% though it's estimated to be higher since it doesn't take into account False convictions that haven't been found out.

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Should the police collect dna from garbage containers from everywhere if it significantly improves crime fighting?