As a full contact sport, rugby carries a high risk of injury, and sometimes even death. In 2011 there were a whopping 110 cases of paralysis in the UK alone. In 2013 5 players died as a direct result of injuries sustained in Rugby matches.
In 2008 there was a highly publicized case where Daniel James, a rugby player who had been paralyzed from the chest down as a result of spinal injuries, traveled to a Swiss euthanasia clinic to end his life.
There are an average of 15 recorded deaths and 111 incidents of injury per year in the USA alone. Mountain climbing is a sport where the chances of having an accident are low, but the outcome if you do is extremely serious. Of mountaineering accidents, 80% result in injury and 20% in death.
Overall there is a 1 in 1750 chance of dying.