Where did that belief that you would go broke very quickly come from? It seems, if you'll forgive me, a little irrational. If you improve your rationality and knowledge of basic probability to the point where it exceeds that of the average at the table you are playing at, you will (on average) make money.

Unlike sports. where height, reflexes and hand-eye coordination play such a huge factor, there is no intrinsic poker ability. Those who are "naturally" good at poker are simply those who are already more rational, at least in their playing of poker, and have a better prior knowledge (understanding may be a better word than knowledge, as most people do not take time to actually do the calculations) of the probabilities.

I think this is a great idea, though I do caution that people spend a little time practising with free games, or low stakes ones at least, as it can take a few games to get the hang of betting, and to get an intuitive understanding of the probabilities, as you will most likely not have time to calculate them while the game is being played.

The chance (pun intended) to make money off of rationality while doing something enjoyable and practising that rationality is simply too good to pass up.