I want to move to LA - should I be afraid of natural disasters?

I’ve been thinking lately that I would like to move to LA in the near future. I’ve heard a couple people express their concerns about natural disasters (earthquakes in particular), but is this something I should really be concerned about or do you think they are just being paranoid?

I know the possibility of earthquakes is very real and more than likely, but should I be nervous? I don’t want to live in fear, but I also don’t want to ignorant.