If you flip a coin 1000 times, you won't get 500 heads and 500 tails. It could vary as much as 650-350 heads to tails. Run this sim again, you get 550 tails to 450 heads. This is probability at its most basic. No, your hands didn't predetermine whether heads or tails would dominate. Flip it 10000 times, and you will get closer to 50-50 split.

If you go to Diamond Minds webstite, you will see that they simulate the season 100 times to get predicted records for the coming season. So they are using sample sizes of 60000 atbats.

Hitters and pitchers in real life are the same way. A pitcher with a 2.00 ERA doesn't throw every game allowing 2 runs in 9 innings He might allow 6 runs in a game, then 2 straight shutots for that 2.00 ERA.

I play this game, and DMB. Both are very accurate. They are just subjected to laws of real life, like everything else.