This is where everything falls apart. First of all, one divided by infinity is zero. It's not close to zero, it's not a lot like zero. It is zero.
Second of all, the likelihood of my existing right now is a lot higher than zero. It's actually 100%. I exist right now, thus I likely exist right now.
You live in a universe where you did come to exist. That is all the information you have. You cannot possibly tell how likely it would have been for you to exist because you know nothing about how the universe works. If you ran the universe from the beginning, how likely would it be to produce you again? Nobody knows. Nobody can know.
So, either you plug zero into your equation or 1. It doesn't matter. In both cases, the probability of your existence goes to infinity.
No. I'm not going to assign a prior probability without some sort of evidence. Bayesian statistics works when we can retrospectively use our knowledge to ascertain what the prior probability should have been. On 9/10/01, I think most Americans would have put the probability of bringing down the Twin Towers at one in a million. On 9/12/01, we could look back and say that the chance of that attack was 20% or higher. On 9/12, we had information we didn't have on 9/10: Our border security was terrible; our intelligence agencies weren't sharing information; our beliefs about the fireproofing on the interior columns were dead wrong (the fireproofing was done quite poorly); our beliefs about terrorists who knew how to fly airplanes were wrong; etc.
You want us to assign a prior probability when we have no better information now than before. You think you're being generous by offering us 50/50 odds. But we don't know the odds. They cannot be determined.
It is defined well enough to answer. The answer is, "No."