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There's (possibly / probably / who knows) a Bayesian inference that could be calculated and inferences about the distributions homo- / heterogeneity - i.e. does it "clump", because of the way that viruses spread.
That maths is way beyond me these days though - Maybe there's some actual studies done on that, which could give credence either way.
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This video on Bayesian statistics has one of my favourite math jokes:
https://www.youtube.com/watch?v=7GgLSnQ48os&t=55s
"Wow! What are the chances of finding me here?"
"Well, it's the first time I've found you here, so I don't know"
My last attempt before ditching the idea and call everyone saying they don't know someone who had covid a liar...
The red lines would propagate next to each other because covid is caught from a person, not randomly distributed across the population. So you'd have clumps of red, not 5 million 0.114mm lines evenly distributed.