OK, but...
I am not a doctor. I don't even play one on TV. But if I understand correctly, there are two types of strokes: hemorrhagic strokes (strokes caused by bleeding in the brain) and... I don't know the technical term, but clot-based strokes (a blood clot blocks an artery in the brain). And if I understand correctly, clot-based strokes are something like 80% of strokes - they're four times as likely as hemorrhagic strokes.
So isn't aspirin a net win anyway? You may increase your odds of a hemorrhagic stroke, but decrease your odds of the other kind of stroke, and the other kind is more common. (Unless you have some reason to think that you are more susceptible to hemorrhagic strokes than the other kind.)
Corrections welcome, especially ones with data.
Note well: This is not medical advice. Consult a doctor, not randos on the internet.