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Yes which is my point. There should have been a winner and there wasn't.
We are. We are the winner. The chances of someone winning the cosmic lottery is astronomically low. The chances that there is another winner nearby is (astronomically low)^2^.
Right so as I pointed out the distances don't really matter all that much. A galaxy infestation of sentients doesn't require FTL. A nuclear propelled ship could bring the nearest star systems within range in under a century. Additionally we are at the edge of the solar system which means it would be slightly harder for us than it would be on average for sentient life forms.
The 15k doubling time I gave includes travel time. We can make the numbers worse if you would like. Make it a 45k doubling time and it takes 1.5 million years. About 3 orders of magnitude more time than is needed. You would need a double time of roughly half a million years to break it. Which would mean that earth sends out a colony ship once every 50x the duration of human civilization. The first one goes out in say 2030 the next one goes out in 500,002,030, the third 1million 2030 AD.
You vastly underestimate the distances and the timescale. And as far as we can tell, you overestimate the chances of life emerging. Right now it looks like our situation is extremely freaky, and we were very lucky to get it. And the chances that there is another civilization of this type nearby (and a million light years is nothing compared to the size of observable universe, so even on non-relativistic speeds million or two years is a very small timeframe and milion or two light years is a very small distance) is extremely slow. So yes, we were very lucky, we won the lottery, go us.
Ok. Would you kindly revise my numbers based on what the true situation is?
I would like to point out that my 20% comes from the literature on the topic and the dataset that we have right now. What is the true number?