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Just out of curiosity, why not? I think myself to be math-saavvy, but I don't quite understand this. At any given point in 3-dimensional space, you have some compound probability P(X) to reach your origin, which is a product of P1, P2, P3 ... PN, where P1 is the probability that you will move from your current position to location 1, then from there to location 2, etc. where location N is your origin. Of course, these trajectories (and therefore, their corresponding probabilities) are dependent on your location, so every time you move, P(X) will change.Actually, never mind. I just realized that I'm confusing probability for empirical likelihood. "1 out of 100" != 1%. I understand now what you mean: although the number of attempts will increase the probability that you will arrive at your desired result, at infinity the probability that you will not still exists (though is infinitesimal).

On the contrary any single move, with the right angle and distance would take you back to A anyway. Therefore the probability is constant because at any point your next move ALWAYS has a 1/∞ chance of taking you back to A.

The probability is constant

Huh. Reminds me of my writing. All of everything, this one time. It vaguely representated prose written in a sardonic manner. Agile words dodging the subjects of divinity. Well. You know everything about the oneness, the likelihood of hindsight. "...for it might end, you know," said Alice to herself, "in my going out altogether, like a candle. I wonder what I should be like then?" And she tried to fancy what the flame of a candle is like after the candle is blown out, for she could not remember ever having seen such a thing.

I also take to my greatest humorous delight the fact that there exists an "intellectual group" within the Soldat Forums.Please, gentlemen, now....