Sorry if it's too long, hope u get a better understanding.Axioms 1 and 2 are really just a matter of convention; we choose to measurethe probability of an event with a number between 0 and 1 (as opposed, say, to a number between 0 and 100). ... Counting measure # defined on the subsets of a finite set S. Lengthmeasure defined on the subsets of a bounded interval S in R.