Not necessarily right. Is there any guarantee that if I roll dice for an infinite amount of time that I will roll a six? I mean probability is that not only will I, but that I will do so quite often. But there's no guarantee, I could, hypothetically, never roll a six, even if I keep rolling for an infinite amount of time.
So infinite does not necessitate the guarantee that something possible is actual. Only that probability of the possible happening becomes increasingly--infinitely even--likely.
It is probable, in a truly infinite universe, that all the exact cosmic dice rolls were such that there is a doppelganger of myself, living on an identical planet, and indeed having this same conversation. That's possible, even probable (given an infinite set of possible things to happen), but it's not certain.
That is to say, that in a range from 0 to 1, with 0 being something can never happen, and 1 being something will absolutely happen. We can grow infinitely closer to 1, without ever reaching 1.
I might be totally off here, but that's my reasoning.
-CryptoLutheran