You are correct when you say that 41% = 0.41 = 1 - (.9)5, and I think that your point is a valuable contribution to this thread.
However, I think you're wrong when you say that Loss Leader's error (try to type in " 9/10^5 " in a Google window, you get 0.00009) is a consequence of a problem with "typewriter math equations" . I just typed " 1 - (.9)5 " with my keyboard, with no special difficulty. You seem to want to defend your colleague moderator here, against the evidence.
He's right. Not being a mathematician, I forgot to put 9/10 in parenthesis, so the order of operation was written wrong.
However, my conclusion of 41% was correct, and is supported by reliable sources on statistics.
And you didn't say a single word about Loss Leader's strange (to me, at least) sentence:
Yes, it appears that I typed 43% instead of 41%. It doesn't change any of the facts. The random chance of putting at least one 3 in a sequence of five numbers is 41%. The random chance of it being the first number is 10%.
You are attempting to draw conclusions about non-randomness from results that are well within what randomness would predict.
Furthermore, it is bizarre in the extreme that you quote my post saying I was lying long ago on your test to buttress the idea that I'm lying now on my test. The reason it's so odd is that you have many times indicated that you believed my answer to your test was real and flat-out rejected my claim that I was lying. So, either: 1) I was lying in your first test and it wasn't really a hit; or 2) I was lying about lying, which means my new test didn't produce any hits; or 3) I'm completely unreliable, which means you have to throw out everything I've said in both tests and no hits of any sort were generated.
The fact is you choose to believe whatever helps you at that moment, shifting effortlessly between conflicting interpretations so long as you are able to consider yourself telepathic. You've performed no tests, let alone valid ones, and you've considered no evidence.