alanback: Thanks for clarifying, I was sure we were talking about a 6-5 game from the start, but that was a while ago. :)
Also, you don't get to 50.2% on every game, you could be losing from the start and never come back. Also, how would you know that the chance was 50.2% without a computer? The first move is easy since these roll outs are well enough known.