I think it's just common sense, intuition and life skills from being on this planet for quite a number of years. But I don't tell them that, I just tap the side of my nose and nod.
Example: While speaking on skype with my daughter she disappears into the kitchen to get a drink for her young son. I wait for her to come back.....all mighty crash off camera.....a shelf on the door of the fridge has fallen off, the contents landing on the floor. Nobody hurt, thank goodness.
A few minutes pass, then we carry on our skype, daughter assures me nothing broken, just cream carton lid opened a bit.
I say "did you check the carton body carefully to make sure that it has not split, put it in a jug, just in case..."
Daughter, raises eyebrows but goes to check, comes back.....thanks Mum it had started to leak. Big mess averted plus would have meant no cream for the meal that night.
Hardly saving the world, but it made me feel useful.