So according to this answer[1], ~1.7MM fly/day.
Making a quick guess that from '80-'08, Americans average 1MM flights/day, then odds of serious injury are ~1 in 95,000.
Odds of death are 1 in 9,333,333.
Assuming the possibility of taking 3 'average' flights/day, then you'd need to board flights non-stop for 8,523 years to die, on average. 88 years to be injured.
[1] - https://www.quora.com/How-many-people-fly-domestically-in-th...