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I understand your argument, but you can't compare floods to the birthday problem. Unlike randomly-sampled people's birthdays, floods in US cities are not independent random variables.

For instance, chances of 500-year floods in two Texas cities is not 1 out of 500*500 in a year. If they're geographically similar and physically close, it should be closer to 1 out of 500.




In 2 Texas cities, sure, but in every U.S. city? There are going to be several that end up getting a few 500-year floods... and several others that don't flood as expected in several 1000 years.


In many US cities. Recall that during hurricane sandy, pretty much any landfill or low lying area was flooded in the NY metro area.

That means dozens of cities and towns with 7% of the US population.




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