The first-move advantage is said to make it slightly more likely for white to win. This is shown in many databases of chess games, such as chessgames.com which shows the following results:
White wins 294,068 games (37.57%)
Black wins 216,938 games (27.72%)
271,659 games are drawn (34.71%)
Despite this, Capablanca actually had a higher win rate when playing black compared to playing white. Of course there is always an exception to the rule, but what aspect of his play makes him different to all the other players of his time?