mdntranger,
You are right, the odds don't change. I'd like to make a correction to your statement earlier in the thread that gamblers make this mistake, bad gamblers make this mistake, the good ones exploit it.
Ultimately you are saying the same as everyone else though. If you make enough attempts, over the course (from attempt 1 to attempt of for example, 100) your chances of winning are higher, but after 100 attempts, you're in no better shape (but also no worse, except for fatigue and morale) than you were on your first attempt.
However I do disagree that you can possibly never win on a 2% chance. After a million attempts you would still only have a 2% chance on the next attempt, but statistically you're going to get it from the million attempts.