Yes, but the probability measure they construct doesn't give "equal probability" in the sense that Xcelerate probably meant. Going back to the plane example, i

Yes, but the probability measure they construct doesn't give "equal probability" in the sense that Xcelerate probably meant. Going back to the plane example, if we use the unit squares as our sequence A1, A2, ..., we'll get P(A1) = 1/2, P(A2) = 1/4, P(A3) = 1/8, and so on. This sums to 1 as you'd expect, but it's not uniform!