One probability to consider is if we come up with some complexity measurement for the universe: for example by looking at perplexity measure of atoms over time — are they behaving in a cooperative fashion or completely random? (a planet is made up of cooperative atoms while space dust perhaps not as much)
And on the basis of measure we can look at the probability of the universe arranging itself into this high complexity model over t=time, then logically, the greater t is the higher probability of a more complex model.
So as t approaches infinity, so does complexity.
I would think with a very small t (5 minutes) you would end up with a very disorganized model (no planets, no people, no clouds or oceans).