Getting a little personal, aren't you? In any case, you realize you have too many letters there, right?
Anyway, barring some background knowledge about aliens (that we obviously don't have in this case), Pr(H) is .5 and will remain at .5 until Pr(E) can be determined, which it can't because there is no evidence, either way. So Pr(H) remains at .5.
I'll walk you through a Bayesian Calculus using SETI's failure to detect anything so far as evidence.
Pr(H)= aliens exist
PR(E)= Seti's failure to detect anything (although there have been a couple of interesting signals, but we won't concern ourselves with those. We'll assume SETI has been a complete and total failure).
We'll start Pr(H) at .5. Maybe there are aliens, maybe not.
Pr(E/H) is the probability that we would fail in our attempts to detect aliens
given that they exist. It is not very surprising that SETI hasn't uncovered anything. We're new to searching, and there are a whole lot of shaky assumptions that go into SETI. So even if aliens exist, our detection of them is not at all guaranteed. But the lack of waves of colonization, lack of self-replication probes, and lack of someone beaming us a message is a
little surprising. So Call Pr(E/H) .47.
Pr(E) is .5. We know it's failed, but counterfactually, what did we expect SETI to discover when it first got going? It could have gone either way. Maybe it could have found something, maybe not. We wouldn't have wasted money on it if there was no expectation of success and we would have funded it massively if there was a strong expectation of success.
So we end up with .5 x .47 / .5
Pr(H/E) = .47
In other words, SETI's failure barely moved the needle, which aligns with our intuition.
Of course it illustrates my point. I'll use a more mundane example again. Do you have evidence I have ever visited Canada? No. Does it follow that you must conclude it's unlikely I've ever visited Canada? No.
And we're done here, I think. Unless you had any questions.