Any individual number has probability 0, but the probability density is the probability that you’ll get a number between x and dx, divided by dx, in the limit as dx approaches 0.
Any individual real number has the zero probability, but at least one of them—is bound to happen.
One may or may not consider sub intervals. It is a side question. Just as rational numbers, or algebraic numbers on this interval. Every sub-interval has the probability equal of its length what is always nonzero. All rational numbers have the probability 0, for example.
Any individual number has probability 0, but the probability density is the probability that you’ll get a number between x and dx, divided by dx, in the limit as dx approaches 0.
Any individual real number has the zero probability, but at least one of them—is bound to happen.
One may or may not consider sub intervals. It is a side question. Just as rational numbers, or algebraic numbers on this interval. Every sub-interval has the probability equal of its length what is always nonzero. All rational numbers have the probability 0, for example.