I can show all of the accounts and prove that I own them. I understand your scepticism and its appropriate.
Then, show them. Less saying, more doing. 
I also agree that the players can't beat the house, but it is also true that a player can beat the house, ask any casino operator.
Read back what you just wrote.Honestly.
If you decide to take the "semantics" route, then I will retort with the fact that if you are arguing variance, then you cannot guarantee results over any duration of time, making this "investment" and your winnings out to be purely luck-based.