guaranteed aa?

[kevin017]

this doesn't necessarily have any practical purpose, but i saw the same kinda thing argued somewhere else and couldn't figure out the answer.

Let's say you play infiinite hands of poker. Is it 100% guaranteed that you will be dealt AA? Ive taken some math before, and i vaguely remember some formulas that would probably tell me that this converges to 100%. but, just thinking about it theoretically, i see no reason why you would ever HAVE to get aa, you would just get infinitely close to a 100% chance.