remember that when figuring odds and such, things really should only start to hold true over a lot of dice rolls. So, let's say you play one game and you make 20 dodge rolls with a human team, needing 3+ on each one.
The odds for the game would say you'd fail around 6-7 of those. But failing more than half of them (11+) wouldn't be at all surprising. On the other hand, what if you have some crazy play where you need to make a long pass to someone in 2 tackle zones who then has to dodge and go for it twice. It's only 4 dice rolls, and though the odds may be against you, it works a lot, especially when it's your opponent doing it

So, yeah, over a season, someone who works the probabilities carefully should do better, assuming everything else is equal. But as long as you pay attention to what your choices are and use common sense, like Zombie put it, you can do fine.
One other thing: people often put up stats on how likely someone with a certain set of skills is to get a casualty in a certain situation, blah blah blah. Often the differences are say an 87% chance to a 64% chance. That's really not that big a difference--you could probably take either option and not notice a big change.
So just relax and play the game, it's all good.