With timing (and to a lesser degree composition) - practice, practice practice.
I have fond memories of shooting football and getting very good at anticipating where the ball was going to be. I can't even explain the mechanics behind it, except for hearing a kick, seeing the ball in motion and the camera falling in the right spot - start depressing the shutter before the next kick - click and bingo. I used to shoot tournaments, ten minutes with a game in which to get a good shot of every player, move onto the next game.
Spray and pray was of no use - I'm handing a memory card to someone whose job it is to sell the pictures. They need 1 quality shot not five mediocre shots to sift through - otherwise people take to long choosing their photographs and the whole thing falls to pieces.
And incidentally, sports was the only time I used aperture priority. I was strictly a manual shooter for everything else.
I've got some tuition notes and slides on how automatic exposure/reflective light metering works - the basic gist is that most cameras adjust the exposure to give a preset measure of brightness. I believe the first preset measure was derived by measuring the average brightness of an arbitrary number of photographs processed by an arbitrary number of photo labs and averaged out to be 18% gray. That value of brightness doesn't translate very well from the media of print to digital photography, so most cameras use a value of between 12% and 15% grey. I can't find my original references for this, but there's a bit of chatter on this blog that probably helps:
http://www.ryanewalters.com/Blog/blog.php?id=3551583675371023276There's an experiment I used to get my tutees to do. Fill the frame with some white card and photograph it. Then fill the frame with black card and photograph it. You can try this with any camera on auto mode. What result do you get? It's important to fill the frame. If there are any caucasian skin tones in the frame (fingers etc.) the camera will adjust it's exposure accordingly.
The camera, just as it doesn't know whether the card is black or white, doesn't know whether the skin tones are caucasian or not.