He isn't saying that there's a possibility "however remote"; he's saying that we have absolutely no reason to prefer one explanation over another.
"So although we have seen evidence for it time and time again": you're begging the question and assuming the principle of induction, which is exactly what Hume is saying you can't justify.
"So although we have seen evidence for it time and time again": you're begging the question and assuming the principle of induction, which is exactly what Hume is saying you can't justify.