A question about infinites:

Say that the universe will be habitable for n years. Lets assume that there is only one universe and that time runs in one direction.

Case 1: If the probability of birth in one moment in time is about impossible. P ~ 0:

- And n is a number, say 13 billion, the probability of birth during n years ~ 0.

- However if n is unlimited high count, the probability of birth = unlimited high in the same time span.

If the given parameters are true, it is unlimited more probable that n is "infinite high" rather than "infinite - 1".

Case 2: if the probability of birth in one moment of time ~unlimited high. Basically, if birth is inevitable:

- And n is any number, no matter how small, the probability of birth = unlimited high.

If these parameters are true, the probability of birth in one moment is inevitable, n may be any number, even converging to zero.

What is this kind of probability dealing with infinites called? It is fascinating, and I would like to read more about it.

Thank you for your time.

Kind regards,

Marius