I look at the possibilities of life on other planets this way:
If you have a (nearly) infinite number of monkeys typing on typewriters, one will eventually reproduce the works of Shakespeare. If you have a nearly infinite (lets just say an uncountably large) number of planets in the entire universe, there is almost a certain probability that since life has arisen once, life will arise again somewhere else. It may not look like something we're used to, but it will be life. There are simply too many stars out there with potential planetary systems to not have at least a percentage of them in the "Goldilocks Zone" capable of sustaining life, and or liquid water. That percentage, on a universal scale could mean billions of planets capable of sustaining life. If you assume our planet is the only planet out of the billion or so that may exist able to support life, the probability of life occurring is 1/1,000,000,000 x 100 = 0.000001 %. Those are ridiculously low odds for life to have developed on earth, and I've possibly done my math wrong.
The point is that the odds of it occurring here don't come into it because it's already an established fact, and we're only here to talk about it because it happened. The odds could be so low that it would only happen once in a billion trillion universes, but the people on that world would still be sat there having the same conversation.
Imagine a forest of trees coming into Autumn. The chances that you could point to any single particular leaf and predict, exactly to the second, when it would fall off the tree, and exactly which square inch of the ground it would fall onto, are infinitesimal. That doesn't mean that if you observe a leaf falling and it hitting a particular spot on the ground at a particular time that you've witnessed a spectacularly unlikely event.
I realise that that example is kind of backwards, but it's just an example of how it's easy to misunderstand exactly which probability we're talking about and therefore estimate it completely wrong. The question isn't "how likely was life to evolve on Earth", but "given that life
did evolve on Earth, how likely is it to evolve anywhere else", and the simple fact is we have no idea because we don't have the information to work that out.
This article articulates exactly what I've been trying to say.
This is a fairly common thing you can use statistics to study. You just ignored the explanation I've typed up because the conclusion doesn't agree with your worldview or whatever. You could have at least tried to reason through it and show me which step I took you through you think is incorrect.
It's a lot easier to just say "Nope, I'm right, you're wrong" I guess, yeah.
Apologies if it seemed rude, but I wasn't trying to be dismissive or hand wave it away, I was just saying that I think your starting premise is wrong so that going through the rest of it wasn't going to reveal anything. For pretty much the same reason I said to Lemon above, because you're looking at the probability of the wrong thing.
The fact is that it
has happened here. You can't deduce the probability of something happening based on just one example of that thing happening, if you have no other information to go on at all, which we don't. All you can say is that it's non-zero.
Even if, say, there are 10^30 habitable planets in the Universe, but the probability of life evolving on any one planet was something like 10^-1000000000000000000, it
could still happen because that's a non-zero chance. In that case the life on that planet would almost certainly be the only life in the entire universe. Alternatively the probability of life evolving on any one of those planets could be 1 in 10, in which case life would be abundant in the universe.
But any individual species on any of those worlds in either universe would know exactly as much about the existence of any of the others (i.e., nothing) and they would all be having the exact same conversation as this. Like I said the question isn't "what are the odds of life evolving exactly once", it's "given that it
has evolved
at least once, what does that tell us about how often it might have evolved elsewhere", to which the answer is "nothing at all unfortunately".
If you have a die in your hand and you have only thrown it once.. and you have no idea how many sides there are on the die.. but you know what number came up when you threw it. you are still able to say things about certain statistical properties of the situation.
I don't think you are at all. I mean, if you somehow knew that the sides of the die were all sequentially numbered and started at 1, and you rolled 574383983, then you could say that there must be at least 574383983 sides and so therefore your odds of rolling that number again on any given roll couldn't be greater than 1 in 574383983. But if any side could have any number between 1 and infinity on it, regardless of how many sides there were, then you couldn't make any predictions at all. If you think you could I'd like you to show how because I'd definitely learn something
Well, you think wrong

There is tons of things we don't know about life, but it's still made out of rather mundane elements that just require a set of factors which are barely on the "uncommon" side.
So unless we discover an especially incredibly rare and restrictive requirement, it's a given there is a big bunch of planets hosting life in our very galaxy, and probably hordes of planets with the potential.
And that's just with the version of life we know of, so not counting the potential different way life can emerge.
Sorry, no. We don't know the mechanism for abiogenisis so can't say how likely that is from an analysis of the mechanism itself*, and we have no statistical information on life/non-life on other planets to infer anything empirically. So you're saying it depends on factors which are not uncommon, but you don't actually know that at all because no-one does (yet).
And I wasn't ignoring any other potential forms of life that could have emerged in a different way, but again that's just another thing we know nothing about the reality of, so again we can't say anything about how likely that may or may not be. Whatever it is. An unknown unknown if you like.
*although as I've said before, if there's been some breakthrough there that I've not heard about I would love to be informed about it.
Manfred Belheim believes in facts.
I mean, as a summary, I'll take that any day.