Ok, one last final question. Suppose that I am doing 25 trials, the odds of a "success" is 1/6, and I get 10 successes by the end of the experiment.

According to binomial distribution, the odds of getting at least 10 success by chance alone is ~.5%. Alternately, there is a ~99.5% chance that something other than chance was at work. Does this then mean that these results fall into the 99% precentile, or is that something different I will need to consider?