Alexjikim, you are 100% right. I was thinking about classic casino games that are pure games of chance (where my statement would be correct). However, the OP crablar wants to offer games of skill where alexjikim's analysis is spot on. Would still be a huge improvement over the status quo though.

I find that Wikipedia article on "Gambler's ruin" pretty misleading. What is not mentioned there is that in a 0% edge game, the party with the higher bankroll has a lower chance of loosing it all, but she'd be losing a lot in that case. If she wins (very probable) she'd only be winning a small amount. That's still a fair game.