Consider a 2-dimensional version of generating points in the circumference of a unit radius circle, independently generate each coordinate uniformly at random from the interval [-1,1].
How to generate a random point in a higher dimension? High level idea is also welcomed.
If we try to extend the above idea (2-dimensional version) it will not work as number of points inside the ball drops to zero as dimension become very high.
Note that this is not an assignment, I am reading data science currently and during reading I find out this question.
Edit: Uniformity means probability with equally likely outcomes enter link description here