No, it is not. You omitted my nuance of “one-time event”, as well as other ones. I am afraid that when you consistently ignore any nuances that I bring to the issue, this does not bode well for a discussion. Your first formulation was also an over-simplification, as i had pointed out. I further take issue with your "we consider that event “favorable” (post facto!) " as compared to my “the particular configuration with a favorable outcome”, but I won’t spend energy right now getting into this.
You want a general and basic epistemological principle. It’s not that easy, since the universe situation is unique, as the following comparison shows.
What is the difference between an asteroid impact with favorable outcome and the creation of the universe with favorable outcome?
Let’s take the asteroid impact 65 million years ago that wiped out the dinosaurs, or at least greatly facilitated their demise. The outcome was favorable to the emergence of our species, but I don’t necessarily think it was 'designed", as opposed to our universe, even though the event would fall under your definition. I will tell you why.
- In comparison to the fine-tuning of the universe, the asteroid impact is infinitely more likely on a statistical basis:
We can statistically expect a similar asteroid impact like the one 65 million years ago once every few hundred million years. That is several times over the life cycle of the Earth.
- The asteroid impact was not a one-time event, it occurs many times elsewhere in the universe:
We can observe large asteroid or comet impacts elsewhere. Just in 1994 comet Schoemacher-Levi crashed into Jupiter, with fragments being of similar size as the asteroid on our Earth 65 million years ago.
- There was a mechanism for the asteroid event, explained by the laws of nature:
it is clear that we have as a source the asteroid belt at the outer edges of our solar system or other sources outside our solar system, and it is clear that the gravitational attraction of the Earth or Jupiter (where those impacts occur more often given its much larger gravitational attraction) cause those objects to ‘find their target’. The mechanism for the asteroid impacts is given by the laws of nature in our universe and thus does not itself need an explanation, and these laws ensure that asteroid impacts are no singular events but occur repeatedly and according to statistically predictable patterns, hence there is nothing to be surprised about them.
In contrast, we have no evidence that there is a mechanism for the creation of the universe. If a one-off event without mechanism occurs, then we have to explain why it occurred in a way that gives a favorable outcome (in our case, life) which is, out of an incredible number of random ways how it could have been different, statistically virtually impossible.
The multiverse, if it would exist, of course would be a way out in providing a mechanism (and it would do away with the universe being a one-time event). Yet then the question arises, as cosmologist George Ellis puts it: “All the same anthropic issues arise as for a single universe: Why this multiverse, and not another one?” Or to put it another way: “why this mechanism and not any other?”
But what if the atheist would claim, in order to avoid the multiverse fine-tuning problem, that there exist perhaps trillions of multiverses, and one of them happens just by chance to be fine-tuned enough to, again just by chance, produce our particular universe? Now
that would definitely violate Occam’s razor big time! Just like the scenario of, in terms of origin, completely disconnected universes.
Another way to provide a mechanism would be that any generation of a universe necessarily results in a universe like ours. Yet also such a mechanism could not exist by physical necessity and thus would be in need of an explanation itself, as I point out in section 1.3.2. of my article.
Given all these considerations, your simple generalization,
If the probability of an event is extremely small, and we consider that event “favorable” and yet it happened, then it is a rational assumption to say the event was very likely the result of a conscious design,
clearly doesn’t fly.