Well, as someone else has noted here, this still doesn't correspond to our usual meanings of skill and luck. I mean, I'm equally likely to beat or lose to you in a game of Candyland, and Federer and Nadal are (very roughly) equally likely to win at tennis, but the two situations aren't equivalent, since you could replace me with your 4-year-old niece at Candyland and have the same probabilities, but not so much with the tennis example. This is why most of us call Candyland a game of luck and tennis a game of skill (with a small amount of luck involved); the degree of skill is determined by how much the probabilities of outcomes depend on certain measurable and robust characteristics of the players.
I don't know, but I suspect that you have some strong ethical boundaries regarding the "skill/luck" line, so that you've identified it with a "good/bad" line; tennis is "good" because few people lose their livelihood trying to succeed at it, so it must be "skill", while poker is "bad" because a large number of people lose their savings playing it, so it must be "luck". But you need to be aware that there's a rather uncontroversial way that most of us use the terms "skill" and "luck", and that your usage violates it.
Dear Orthonormal, You are partially correct. it may be true that the way I use game of skill/luck it is not the ususal one, but it is a reasonable way, more solid, in my opinion, from the point of view of game theory/economics, and more importantly, it is relevant to the usage in the relevant laws which was meant to define what gambling is, and to common wisdon regarding gambling
The conventional way does not give you a way to measure the ingredients of skill and luck, and it treats the bare game without taking into account the entire scenario, the game, ...
Gil Kalai, a well known mathematician, has this to say on the topic of chess and luck:
http://gilkalai.wordpress.com/2009/07/05/chess-can-be-a-game-of-luck/
I didn't follow his argument at all, but it seems like something other LW posters may understand, so I decided to post it here. Do comment on his arguments if you agree or disagree with him.