Perhaps I was using a different definition than you were expecting but 'serious injury' to me means serious enough that it impacts your ability to perform your job, at least temporarily.
http://www.bls.gov/news.release/archives/osh_12042014.htm
Injuries and illnesses by type of case Over half of the more than 3.0 million private industry injury and illness cases reported in 2013 were of a more serious nature that involved days away from work, job transfer, or restriction (DART cases). These cases occurred at a rate of 1.7 cases per 100 full-time workers, a statistically significant decrease from 2012. (See table 7.) The rates for the two components of DART cases--cases involving days away from work and cases requiring job transfer or restriction--was unchanged at 1.0 and 0.7 case per 100 workers, respectively, in 2013. Other recordable cases--those not involving days away from work, job transfer, or restriction--accounted for the remaining 1.4 million injury and illness cases in 2013 and was unchanged at a rate of 1.6 cases per 100 full-time workers.
The TRC injury and illness incidence rate remained highest in 2013 among mid-size private industry establishments (those employing between 50 and 249 workers) and lowest among small establishments (those employing fewer than 11 workers). (See table 3 and chart 2.)
Where did that figure come from? That would indicate that if you work full-time for forty years, you've got a roughly fifty-fifty chance of serious injury or fatality (or about a thirty percent chance over twenty years).
That seems far, far too high. Is this a particular kind of worker? I'm sure I'd notice if about half of all employees didn't make it to retirement without being killed or seriously injured.