Originally Posted by Little Nemo
I was including even the top mathematical minds like those you mentioned. Probability just wasn't a direction their mathematical thinking was geared towards. Classical mathematics were aimed at things like proofs - a binary system where answers were either yes or no. Probabilities require you to view things in terms of maybe.
I don't understand why this would have been a barrier. There really are exactly 6 ways a cubic die can come up. And there really are exactly 36 ways a pair of cubic dice can come up. (Easily illustrated by numbering the sides of one die, and coloring the sides of the other with different colors. This is manageable for a Greek. And even though you haven't said it, you've got a sample space.) No 'maybe' in sight.
You don't even need fractions per se
, just the notion that certain ways of collecting outcomes from the sample space involve collecting more of those 36 individual outcomes.