If you would imagine yourself being inside of the nucleus of a hydrogen atom, then the 1s electron would not look like it orbits the nucleus (as pictured mostly in high-school text books), but rather a fuzzy cloud-like region where the electron could be at any time. This cloud would be most dense at your position (in the center of the nucleus) and would get less dense if you’d move away from the nucleus. At any time, we could find the electron somewhere in this cloud. Taking a 2D slice of the spherical symmetry, the probability would be greatest at the center.