Well, that may be true for truly random processes. I don't agree with the comment about athletes. Winning gives confidence, confidence can improve performance.
Look into the research done on 'Hot hand' in professional basketball. I had a university professor in psychology/computer learning that did some research in that field.
Maybe in a sport like football or hockey where you can make an outstanding physical effort confidence comes into play, but for an individual basketball shot the evidence is strongly against hot streaks.
