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I agree, even though we both know that what we hope to be true has no influence whatsoever on what is true. But this I believe: If we are the only intelligent life in the universe, what a pathetic waste of a universe!
Misunderstanding.
the Drake equation does not estimate the probability of life existing elsewhere, but of intelligent technology-using life. There may well be microbial life somewhere, or possibly intelligent life that never developed technology.
Then recall that the final element of the equation is the killer one. (literally) The fraction of life that survives creating the means for it’s own destruction.