Suppose that were to select one number at random from the set of integers in the range from [-1..8]. There is a 1 in 10 chance of selecting -1. Now suppose you

Suppose that were to select one number at random from the set of integers in the range from [-1..8]. There is a 1 in 10 chance of selecting -1. Now suppose you select from the range [-1..98]. There is a 1 in 100 chance of getting the single negative value. In the range [-1..99,998] there is a 1 in 10,000 chance. And so forth. In the range [-1..x], as we raise x higher the chance of getting the negative value is smaller, and the higher x gets, the closer the chance gets to zero. That is what we mean when we say "the chance of selecting -1 out of [-1..infinity] is zero". And that is precisely the sense in which the mathematical structures this article refers to (like irrational numbers, or non algebraic solids) have 100% chance of being selected when choosing a (number/solid/whatever) at random.