I don't even know how to begin agreeing to this.

Given that the universe is infinite in volume, and points have no volume, then the number of possible locations for a point to appear anywhere is ∞/0. I don't know how to divide by 0.

But suppose that you figured it out. The probability of a point appearing in any particular location is p=1/(∞/0).

But lets suppose that points have some non-zero volume V, then the probability-space is ∞/V.

so p=1/(∞/V) = 1/∞ =0

This is a non-sequitur. I have no idea how to calculate a distribution from 0 or undefined probability.