As the other comment says, most of the mutation have chemical and thermodinamical causes, that can be seen by a Laplace's demon. (There are some quantum effects here, so add "almost" somewhere in the previous sentence.)
Also, it is important that the mutations are random, but nut uniformly random. Some base replacements are mor common than other, some DNA patterns are more prone to get bad copies, ...
But if you put a radioactive source that produce x-ray or gamma rays, the emission is a truly quantum random phenom and even a Laplace's demon can't predict them. I'm not sure if the Laplace's demon can "see" the photons while they are traveling, it's difficult to discuss about the properties of fictional entities. But for not very high energy x-rays, the wavelength is bigger than the distance between atoms and the Laplace's demon can't predict in which atom it will hit, but they have less energy are less prone to cause mutations.
Also, it is important that the mutations are random, but nut uniformly random. Some base replacements are mor common than other, some DNA patterns are more prone to get bad copies, ...
But if you put a radioactive source that produce x-ray or gamma rays, the emission is a truly quantum random phenom and even a Laplace's demon can't predict them. I'm not sure if the Laplace's demon can "see" the photons while they are traveling, it's difficult to discuss about the properties of fictional entities. But for not very high energy x-rays, the wavelength is bigger than the distance between atoms and the Laplace's demon can't predict in which atom it will hit, but they have less energy are less prone to cause mutations.