Terminology for a game in which Black and White have the same "probability" to win Consider a game between two players, Black and White. The game is sequential and ends after finitely many moves. White moves first. The game ends either in the victory of one of the players or in a draw.
Let us call "probability for White to win" the ratio between the number of games that end in a victory of White and the total number of games.
Is there a standard terminology for those games in which Black and White have the same probability to win, i.e. the number of games won by White equals the number of games won by Black, i.e. there is no advantage in playing White?
Moreover, which games (are known to) fall into this category and which not, among chess, draughts, Go and so on?

The answer to this related question is excellent.
A fair game is probably closest to what you want. However, under optimal play, the game you describe, which is sequential and finite, must always end in either black winning, white winning, or in a draw. A game that always ends in a win for one of the players is sometimes called unfair. A game that always ends in a draw is sometimes called futile but might also be called fair since it gives neither player an advantage. 
That idea that white and black have equal chance of winning implies there must be randomness in your game. Checkes, chess, go have no such randomness and are either unfair or futile. Checkers ends in a draw. Chess and go are unsolved. 
