According to Stephen Hawking, black holes emit electromagnetic radiation(Hawking radiation), won't the EM radiations themselves be sucked back in by the black hole?
I also read on wiki the following:
An important difference between the black hole radiation as computed by Hawking and thermal radiation emitted from a black body is that the latter is statistical in nature, and only its average satisfies what is known as Planck's law of black body radiation, while the former fits the data better. Thus thermal radiation contains information about the body that emitted it, while Hawking radiation seems to contain no such information, and depends only on the mass, angular momentum, and charge of the black hole (the no-hair theorem). This leads to the black hole information paradox.
So if the BH does suck back in the radiation then there would be no way of finding out if it has done so because the information of Hawking radiation is not defined. To counter argue that statement, let's say that Hawking radiation is not sucked back by the BH, then does that mean that information-less systems are not affected by a BH?
Please pardon my ignorance about the topic.