Do stateless random number generators exist?

Question

Is there a difference between generating multiple numbers using a single random number generator (RNG) versus generating one number per generator and discarding it? Do both

Answer 1

If you create a RNG and generate a single random number from it then discard the RNG, the number generated is only as random as the seed used to start the RNG.

It would be much better to create a single RNG and draw many numbers from it.