Correct, of course; but we can make some pretty strong quantitative distinctions. I'm more likely to win the lottery than to beat Kasparov (assuming he's healthy and playing at his usual level, etc). But I bet I could beat any human being or computer program at Candyland half the time.
Indeed. (Assuming nobody's cheating, of course.) Garfield's statement does not necessarily reflect my own opinions on things.
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.