I think you're underestimating the problem by limiting it to unarmed black men killed by police. There's a lot that a police force can do besides killing people. There's profiling and unlawful arrests and prosecution, cruel and unusual punishments in prisons and jails, along with general harassment. You should look at the results of DOJ investigations into the Ferguson and Baltimore police departments, they are absolutely scathing. In the Baltimore police department, there were incidents in which they arrested people just hanging out on a street corner for no reason (when they told their lieutenant they didn't have a valid reason to arrest them they were told "just make something up") in front of the DOJ investigators! I'd also recommend the book "Just Mercy" for examples of the horrors of malicious prosecution. Just one egregious example from that book: a mentally disabled woman was sentenced to life in prison for the murder of her child. The problem? The woman never had a child, and was in fact infertile!

Justice isn't based on probabilities, but rather addressing every single crime. If I were to come up with a novel way of committing murder, that doesn't mean I can carry it out and expect to be ignored because such events are rare. Every time a uniform wearing criminal escapes justice due to corruption is its own injustice, regardless of how uncommon it is when compared with all police interactions.

> the number of unarmed black men killed by police is somewhere between bear attacks and babies drowning in buckets in terms of annual deaths.

You're comparing accidents to murder¹.

We can and should try to prevent deaths from bear attacks. But we should also have higher standards for human behavior than for bears.

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¹Or at best manslaughter