Right, but it's easy to conflate two very things here:
"What are my chances of dying in a climbing accident", and
"What are my chances of dying today if I go climbing".
If you are on a plane, you* have a lower risk of some kinds of cancer than the airline staff do. This has nothing to do with the flight you are both on, and everything to do with accumulated flights
"you*" = for most people, i.e. barring a counteracting risk factor.
The 1000th time you go climbing the chances of dying are still 1/1000.
If you get 100 heads in a row, the 101th time you launch a coin the chance of getting heads is still 50%.