(82.5%)^90 = 3.02590556e-6%
Still astronomically small, so I will continue.
That's the wrong equation. You've calculated the odds of hitting
exactly 90 out of 100. You want the odds of 90
or more out of 100, in which case you would use the binomial distribution referred to earlier in this thread. The true result is around 3%, about one million times higher than the one you've quoted.
If you say so. Well, guess I have a 3% chance, but I'm telling you it will happen. Wait and see. If you want me to extend it to 200 days or 1000 days then I don't mind doing so, but I'm also sure that interest in this thread will drop after 15 or so days