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Say you have a 2D area and you want to generate random points within it, by setting
x = random() * width
y = random() * height
do the points clump around the centre of the area? I remember reading something saying they would, but I can’t quite figure out why, and how to prevent it.
It depends on the distribution of the random number generator. Assuming a perfectly even distribution, then the points are likely to be distributed in a reasonably uniform way.
Also, asking if they clump around the middle is pre-supposing that you don’t have the ability to test this!