I don't think this is a good analogy. The universe is probably infinite, at least according to modern cosmology. Well, it depends on how you define "universe". Our little bubble that we can see (everything that was created in the Big Bang) is finite. It's only 13.7 billion years old, and we know it has a finite mass. However, there is probably an infinite number of other universes in the grander multiverse. It's not certain, but the cosmologists are leaning in that direction and I think it's a good way to explain our existence. If the multiverse is infinite, then every logically possible being must be in it somewhere, and therefore we exist just because the combinations of particles in our bodies are logically and mathematically possible.