I have fallen twice. The first time, I had organized a ride with a bunch of people from work, some attendees were casual cyclists. One asked me about my pedals and if I had ever fallen. I responded "Of course not, I know what I am doing"... and then proceeded to fall over in slow motion on my driveway!
The second time I was track standing at a light and fell over. My left wrist was sore for at least six months.