Haven't seen one of these threads on here in a while. They occurred so often in a short period of time and then suddenly stopped. I thought they were bannable at some point in time.
Anyway, 0.9999 repeating is 1. Numbers are weird, but that's just how it is. You can rationalize it in many ways or you can just acknowledge it as truth. The latter is easier. While there are many ways to prove that 0.99999... = 1, there is no way to confirm the opposite.
I've always thought a better question was this:
If you had a hat with an infinite amount of slips of paper consisting of an infinite amount of numbers, the probability of pulling any random number is zero (1/infinity = 0). In fact, the probability of pulling any real subset of numbers is zero (i.e. 10000/infinity = 0). However, if you actually reach down in there and pull out a number, the probability obviously isn't zero because you just pulled out a number. Why is that?
I had my Cal professor explain the answer to this one for me, but I totally forgot what he said haha.