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So it'd be fair to say this was no "freak run".
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I did say "albeit remotely"
Nevertheless, it still exists within the realm of possibility... barely...
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No, that is not possible.
522 wins out of 1537 trials has according to Excel a zero chance of occurrence. Of course it is non-zero, but the number is so small, Excel cannot calculate it. The best it can do is for 617 wins, when the possibility is
0.0000000000000019
So the fact that the software was cheating is a fact as anything can be.
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See above
If you replace the words "cheating is a" with "non-random is as close to" I can't argue.
People do sometimes make errors in coding. But that being said, they're going to have to climb a very tall mountain to make that one stick in this case.