[Karmic]

The games are certainly not independent. If you are saying we play 5 games and the best 3 of 5 wins each game is technically independent but still may be influenced by play during the earlier games. Also, winning the first game doesn't necessarily mean you played under the optimal strategy to win the game, only that you won.

Maybe I'm throwing in too many outside influences into a philisophical problem but I think the conditions set forth allow that not only should you not play each game exactly the same way, it might be correct to play each of the 5 games in a decidedly different way to maximize your chances of winning at least 1 more of the 5.