My professor doesn't have the answer and wouldn't give it to me even if he did. I have to come up with it "on my own." I'm very new to programming so I've had to ask a lot of questions.

The 14! does seem like a lot but my professor seemed confident that it wouldn't be a big deal if I did it correctly.

I can understand a little unclear but "not at all clear"? In the original question I explicitly say my difficulty is in generating points...not how to plot the function.

So there will be a jump in point density along the boundary of the circle, an edge if you will.

Sorry I've learned I'm not good at clarifying lol. Ok so say we're going to plot 1000 points. Take one of those points in particular. The probability of it having a location (x,y) in the listplot has to be given by the If function of x and y. Since the If function has twice the value inside the circle, any given point has twice the probability of falling inside the circle.

I like that but what I need now is a 2D listplot where there are twice as many points inside the circle because the function is twice as much there.