If balance is only about equal chances, then chess actually rates poorly - White wins about 1/3 more often than Black. War (the card game) or rock-paper-scissors can both boast a considerably better balance :)
So if we talk about balance in chess, I think we mean something deeper than your view of the concept: the harmony between its different aspects, like attack vs defence, strategical vs tactical thinking, calculation vs aesthetics etc.
More like balance in art.
A "well-balanced painting" is not simply the most symmetrical one :) That's the easiest thing to achieve, but that's not the point, I believe
So if we talk about balance in chess, I think we mean something deeper than your view of the concept: the harmony between its different aspects, like attack vs defence, strategical vs tactical thinking, calculation vs aesthetics etc.
More like balance in art.
A "well-balanced painting" is not simply the most symmetrical one :) That's the easiest thing to achieve, but that's not the point, I believe