Hitting that payout itself is a lucky already no matter how long the user try to hit, why we cant say that he is lucky to hit it? Do you mean that he is lucky enough if he hit it just after he start hunt the payout (with few bets only)? I would even say that someone is lucky enough to hit even if he need hundred thousands of bets before he hit it eventually because hitting big payout is something rare, not all players are lucky enough to hit although they try it every single day.
This example makes that more clear.
When the payout is 2600x, the chance of win is 0.04%. It's unlikly to win the bet.
But assume that you roll 2000 times. Mathematically, Your chance to win at least one time is 55%.
I think not, each roll is independent from each other. It isn't something commulative so that your chance of winning is getting bigger. it is always 0.04% whether you roll a miilion times or not.