leroy
Well-Known Member
Sure and I would argue that the event of selecting a random point can´t happen. (even assuming that points exist)Take a uniform distribution in a volume. What is the probability of any point? It is *always* zero.
Taking a random treatment I found:
3.3 - Continuous Probability Distributions | STAT 500
Quote:
"Note! If Y is continuous P(Y=y)=0 for any given value y. Unlike the discrete random variables, the pdf of a continuous random variable does not equal to P(Y=y)."
In other words, every single point has probability zero. Yet, individual points are what happen.
Any computer would have to ether limit the size of the sample to a finite number and/or make a non-random selection.