That you would make such a comment in a discussion about classism and racism is very ironic.
No supporting evidence has been presented that a person will necessarily attribute the same level of certainty when positively or negatively associating a person to a category, either globally or under specific circumstances that match these. Identifying someone as a threat and discounting someone as not a threat may engage different levels of reasoning and heuristics in different circumstances, and assuming they are equivalent without justification is a mistake, in my opinion.
> Why is the cop an allowable surrogate of societal stereotypes when he assumes the white woman is not the shooter, but an "individual that makes his own decisions, and has his own opinions, views and predispositions" when an alternative hypothetical is presented?
His behavior with regard to race was classified based purely on his profession. I'm not sure how that's justifiable.
Edit: To more directly address what I think your point is, we were presented a situation, not necessarily the police officer's reasoning and perspective. We don't know if the reason he thought she was not the shooter was her color, gender, clothing, bearing or some combination of those and other factors. There is little information to go on, so we shouldn't assume we know much.
I present this not as an argumentative reply to you, but just to clarify my point in my immediately preceding comment in this thread, as it seems to have been polarizing (it fluctuated from -2 to +3 multiple times, and now sits at 0).
> white people ... committed some 64% of the shootings ... Black people committed close to 16% ... Asians were responsible for around 9% ... Latinos are almost nowhere to be seen
> whites and blacks are pretty proportionate to their population
[1] http://edition.cnn.com/2015/06/27/us/mass-shootings/index.ht...
On the flip side, there is some evolutionary reasons why humans make quick decision when encountering new people or places, and I would guess it would take generations to change our hardwiring to NOT make those assumptions unconsciously. Even more brutal, if that hardwiring changes, there are circumstances where we'd likely be in trouble but for our split second assumptions.
Fascinating story on NPR last year about a cop in an evacuated Wal-mart looking for an active shooter. Came around the corner to see a white woman and for half a second wondered why a civilian was still in the store. Then she shot at him, he returned fire and barely escaped with his life. So there's arguments to be made for learning how to avoid those assumptions too :) Crazy, mixed up world we humans make for ourselves.