(This is a shot I took several years ago. It's 3 Sonoran Coral snakes. Although they are venomous they rarely bite and no one has ever died from a bite)
It's just a rhyme that helps people distinguish between the coral snake (red touches yellow) and the kingsnake that looks very similar but the (red touches black) instead. Although our local Arizona variety is unlikely to kill a person the rest of the coral snakes that occur in Texas through Florida certainly can kill a person. They just happen to be much larger and there for have much more venom.
Hope that clear it up for you charlotte.