Question

Will the world ever run out of electricity sometime in the future?

Answer 1

We might one day if we didn't have Solar energy and wind energy and water energy.

That means if we were relying on natural gas or coal fired power plants then yes we just might run out.

Though over time we will get fossil fuels back. Not in my lifetime but one day there will be more fossil fuels.

Answer 2

Not as long as there is wind, sun and water power. 

The only way to "run out" is if civilization broke down and no one maintained the systems. even then, solar power would still keep going for many many years.