You're saying that 5,000 games is enough to determine your overall winrate, and yet every 5,000 games of yours has been different: from game 31,000 to 50,000 (a recent 19,000 game streak), you are down.
Either this should mean you are a losing player, or it means 20,000 games is not even nearly enough to draw a conclusion. Be careful about having it both ways to suit you: that is confirmation bias https://en.wikipedia.org/wiki/Confirmation_bias.
Let's say, I wish you the best of luck, and leave it at that.
Good luck :)
On top of that, you seem to be suggesting that the variance in my ROI is somehow attributed to an inherent "luck" factor of poker while ignoring the fact that the sample size ranges from micro stakes up to high stakes poker. My winrate is obviously going to vary between stakes because poker is a game of skill and the higher the limit, the more skilled the player pool.
FYI, it's also quite annoying to throw wikipedia pages explaining common psychological biases at me when you've already stated that you are basing most of your conclusions on "assumptions" since you aren't well acquainted with the subject matter. I'm well aware of everything you're warning me about but you also seem biased against poker. I've shown you a sample of over 50,000 tournaments. That's over 1.5 MILLION hands of poker. It blows my mind that you seem to be keen on ignoring empirical evidence and mathematical analysis here, but if you want to ignore that, so be it.
But, yes, indeed, good luck to you as well.
http://i.imgur.com/1uC5y0U.png
Note that I'm also only a mediocre regular in these games. There are MANY people who have far better results than I do. They average a 3-5% ROI which is much higher than mine.
Also note that the reason my graph dipped after the first 10k games or so was because I went from playing the $15s-$30s to playing the $100s/$200s for awhile. Due to the increased skill level I dropped back down. Here's another image showing my stats for each buy-in level.
http://i.imgur.com/D0lHx3H.png
If you still doubt how confident you can be in this sample, you might want to read the following article on confidence intervals on husng.com:
http://www.husng.com/content/given-my-results-what-should-my...
My 50k+ game sample means that there is a far lower than 0.1% chance that my results are due to the good end of variance.
And here's a graph of ALL my poker tournaments. This includes 9-handed multi-table tournaments, 6-handed SNGs, heads-up shootouts, everything.
http://i.imgur.com/6jyCXn0.png
Poker is 100% a game of skill but it really depends on how you approach it. Professional players or serious amateurs such as myself make money at the game simply because people approach it as if it's bingo.
If every recreational player was putting in time studying poker theory and reviewing their play, it would become much, much harder to make money playing. As such, I really don't mind if people want to continue thinking it's a luck based thing. It just means more profit for me since that perspective, oddly enough, doesn't stop people from dropping $$$ in the game, it merely stops them from thinking they can gain an edge by putting in time and effort. Recreational players wouldn't play if there wasn't a certain amount of luck...
EDIT: Also, it's important to note that every poker player has to pay for their education. Look at my last graph. I was an unprofitable player for the first 10-20 thousand games or so. That was when I was just playing micro/low stakes on PokerStars recreationally. Once I gained some knowledge, and decided to take it much more seriously, my profits skyrocketed.
It's far better to learn how to play poker at micro/low stakes online, where you will pay less for your poker education, than it is to start with mid/high stakes online or in your local casino. Either way, you'll be a losing player to start. Choose the more inexpensive option.