[Python] Generate a random sample of points distributed on the surface of a unit sphere

I am trying to generate random points on the surface of the sphere using numpy. I have reviewed the post that explains uniform distribution here. However, need ideas on how to generate the points only on the surface of the sphere. I have coordinates (x, y, z) and the radius of each of these spheres.

I am not very well-versed with Mathematics at this level and trying to make sense of the Monte Carlo simulation.

Any help will be much appreciated.

Thanks, Parin

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