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50% of all ≠ 50% per person
If the 50% are homogeneously spread -and it's implied that it is-, then one may assume 50% per person also applies. Like how he didn't leave 50% of planets alone and purge the rest.
I would think it's basically a coin flip for each living thing. It's possible, for example, that all humans survive, however the probability is so astronomically small, it's functionally impossible.
Same with gut biome. Even with several billion attempts, the probability that even 60% of any individual's trillion gut microbes get snapped would be essentially functionally impossible.
Just to give an idea of the unlikelihood we're talking about here, you can model this as a Bernoulli process with a binomial distribution.
If N is the number of beings potentially snapped, then (√N)/2 is the standard deviation. (If you're curious about why, you can read more here.) So for 8.2 billion people, the standard deviation is ~90,000. The chance of being more than ~3 standard deviations below the mean is 0.1%. That means there's only a 0.1% chance of snapping less than 4,099,720,200 people.
I’m not sure it’s stated, but I thought the planets that had already been purged by Thanos’ armies, like Gamora’s planet and Xandar were spared the snap.
Then I guess so where the microbioms of people whose guts Thanos had already purged.
No, because the survivors of Asgard still got snapped even after getting rocked by Hella AND Thanos, right?