Man shot, killed by officer after throwing rocks outside Phoenix police station

Red herring. Which is better, 10% chance of killing sombody or a 100% chance of killing somebody,

You are pulling statistics out of thin air with no understanding of what you are talking about. Here is a fairly well-researched article that may help you understand how little you understand how gunshot wounds. They are not predictable. This is real life, not Hollywood.

...keeping in mind that the situation was actually resolved using the first option without anybody dying?

What situation are you referring to? The perpetrator in this story was killed.

If you don't want risks, don't take a risky job.

Again, you are confusing necessary and unnecessary risk.

A man is walking down the street. He picks up a large rock and hurls it at a police car. This man is a clear and present risk. He is violent, irrational and has no fear of authority. Violent criminals with no fear of authority are the greatest risk to the community -- if they don't fear the police, they sure as hell don't fear the citizens.

If you were driving down the street and some maniac started chucking rocks at your car, the sensible thing for you to do would be to drive away and avoid a potentially dangerous confrontation. The police officer driving the car must turn around and confront the perpetrator. That is the necessary risks inherent in his job.

He does not have to approach the perpetrator from a position of submission, putting the welfare and safety of the perpetrator ahead of his own. That is an unnecessary risk. The police officer is not the perpetrator. He is not the one who is acting out in a violently anti-social manner, disrupting peace and order. He has no moral obligation to endanger his own person simply to protect the health and safety of a violent criminal.

You are just writing of killing the other person entirely.

Yes, I am. Because the other person is a violent, irrational criminal acting in a dangerous manner that does not benefit anyone. I can see absolutely no reason why I should demand a police officer endanger himself any more than absolutely necessary to end the menace posed by violent criminal. If that means the officer has to end the life of the violent criminal in order to protect himself from harm, then good riddance to bad rubbish.

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