The game has changed in a way that has narrowed the line between luck and skill...IMO.
It used to be practically impossible for an everyday bettor to show a profit at the end of the year based on luck alone...but that is no longer the case. In this, the age of the super-exotics...anything is possible. A player can hit a monster Pick-6 payoff with a fluky $6 ticket...and declare himself a winner for a lifetime.
But I would have to say that, long term, a player's results will be determined 90% by skill level and 10% by luck.
Luck pays short, unexpected visits...and leaves just as suddenly. Skill is much more dependable...