The key here is who the psychopath sees as stronger. I am 6 feet tall, 185 pounds of soft office worker (57 years old) with a weapon that does not look dangerous. Willie on the other hand has that obvious bow so that could lead the psycho to head that way first.
This comes down to who the psycho attacks first. Without the psycho it is a different question and comes down to how well I can use the crowd to come up on Willie to negate the advantage of the bow. Up close I think the acid will be enough of a distraction that he will be pretty ineffective even with the knife.
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