In 2009 there were 10.5 million accidents, and 35,900,000 motor vehicle fatalities. Your odds of dying in any given accident are 0.3%.
In 2013 projections were for 1,203.6 billion vehicle miles travelled. Travel mileage has actually been declining slightly (about 1%/year) since the 2008 depression.
You could expect to travel 33,526,462 without a death, on average.