An idealized 'dot' has zero 'volume', as does a countable number of such dots. The bulk of the real number line is made from irrational numbers, with a countabl

An idealized 'dot' has zero 'volume', as does a countable number of such dots. The bulk of the real number line is made from irrational numbers, with a countable number of rational dots mixed in. If you define the 'probability' of hitting a rational dot in terms of ratios of volumina, it will be mathematically zero.