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I think light is a bit of a misnomer the radiation generated at the 15MK core of the Sun is presumably gamma radiation that gets degrade down to visible/UV as it fights it's way out
This depends upon exactly how light interacts with hot dense matter. The emission of photons is followed by a drop in energy of an electron, because of the heat and density the emissions will be a continuous process under these conditions as will absorption. So the uncertainty of an individual photon making it to the surface will be high.