I've done this in the past before just for the hell of it...never for serious money, but it strangely takes the pressure off of making your picks. I honestly think I've won more than I've lost doing it that way...although I don't think I've ever gone over a half unit on any of them...
Wasn't there some article once about how a group of fifth graders (who obviously knew nothing about stocks) outperformed Wall St. analysts over the course of a year picking stock winners?
Hope you keep picking until you get to at least 100 games, zjp. Even that's too small of a sample size, but it'll be fun to see if you can break the magical 53.47% mark.