Board Thread:General Discussion/@comment-5907266-20160109034728/@comment-5907266-20160110072256

The question is, is that really the case? I was discussing this with my cousin and one of my math professors and I came upon this logic. First of all, if you didn't know, there are two types of infinity: countable and uncountable. Sparing you the details, rational numbers are a countably infinite set and irrationals are uncountably infinite. And by their nature, there exist infinitely more irrational numbers than rational numbers. So if I were to pick a numbers at random of all the numbers in existence, the probability of pulling an irrational number is effectively 100%.

So with similar thinking, I figure it's fair to consider that you can assign a natural number to each of the infinite non-number events. If that's possible, then there is a countably infinite number of non-number events. This is versus the uncountably infinite set of all real numbers (not to mention imaginary and complex).

So by that, I argue that there is effectively a 100% chance of rolling a number rather than triggering an event. Granted, there's technically a chance of and non-number event happening, but it's an infinitely small chance, being effectively zero.

I like math. owo