inistry has… how many aurors who utterly fail to accomplish anything?
Well,
US states seem to vary between roughly 3 and 6 police officers per 1000 people. Wizarding Britain seems to have probably between 12,000 and 3,000 people, so between 9 and 72 police officers. And that number include bureaucrats, and probably specialists, though not DEA, FBI, NSA, etc.
It's also not clear whether wizards would need more or fewer aurors per person than muggles (asuming maintenance of the Statue is separate): more, because everyone is armed, or less, because apparition means they don't have to station people geographically, and can just stick with a quick-reaction force.
The number of death eaters is tricky to estimate, but we can make very sketchy guesses. Of the nine named slytherins in Harry's year, three were known death eater combatants (of dubious quality) (Malfoy, Crabbe, Goyle), Nott had a death eater parent, Pansy seemed to be pretty outspokenly non-anti-Voldemort, and Daphne's sister married Draco, which presumably means she isn't virulently anti-Voldemort.
It's very unlikely that's representative, but that would be 1/12 of the population willing to fight for Voldemort (at least, if they thought there was no risk, and were peer-pressured into it). That would put nearly 20 times as many death eater combatants as aurors. Even if likely a fifth of them were as good as a professional auror, they'd still be outnumbered 4:1.
And it really doesn't take much for a wizard to be dangerous; a month of full-time drills using spells they learned in class would likely make them able to contribute, at least en masse.
Overall, I would guess the aurors are significantly outnumbered.
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