I've been cycling seriously (commute round trips as long as 70 miles) in serious traffic (mostly Atlanta, some in Phoenix) for almost 25 years, averaging a few thousand miles a year. I've never been hit by a car. I have been honked at, cursed, buzzed, spit upon, and had beer bottles tossed at me.
In the same period I've had three accidents serious enough to worry my wife. (One broken collar bone, and one time requiring stitches in my knee.) The broken collar bone was due to a car buzzing too close and forcing me into the curb (and then onto the pavement). The other two were completely my fault.