Mildly Infuriating
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You didn't understand a single thing I said and keep trying to change the subject. You entirely missed the point of the analogy which was to demonstrate that using statistics to try to justify discrimination is wrong and does not in fact in any way justify discrimination but that sailed right past you and instead you're hyper focused on the fact that the two analogous situations are not perfectly identical.
Then you went on and picked a different analogous situation but one which differs in a very critical way that undermines the entire analogy. You missed a critical point which was for a bear, not a population of bears, the longer you stay around and in close proximity to that bear the greater the chance you will be attacked. Bears, all bears, are dangerous. Not all men are dangerous. It doesn't matter how long you spend around a man, your odds of being attacked don't increase. Sure if you spend time around an ever increasing number of men your odds go up, but that applies to any interaction with anyone. The more time men spend around an ever increasing number of women the more the odds of the man being attacked go up. For a large enough population, no matter how small the likelyhood, the probability will always converge towards certainty.
Ultimately though it's entirely a side tangent as the only reason the analogy was brought up was to illustrate why trying to use statistics to excuse discrimination is wrong.
That's because making overgeneralizations doesn't actually do anything to address the problem and only undermines otherwise legitimate complaints. Instead of wasting all this time trying to defend the overgeneralization, maybe instead focus on trying to solve the problem, because attacking everyone in the majority group regardless of their guilt or innocence just discourages any of them from wanting anything to do with you or even listening to your complaints.