Poker isn't played as a group. The "overall concept" is whether an individual player can profit over the long run, and in poker but not (say) roulette, the answer is yes.

Your approach reminded me of a joke:

Three statisticians go deer hunting with bows and arrows. They spot a big buck and take aim. One shoots and his arrow flies off three meters to the right. The second shoots and his arrow flies off three meters to the left. The third statistician jumps up and down, yelling "We got him! We got him!"