it is entirely mathematically valid. See here for some math https://www.quora.com/Is-there-a-point-where-statistical-improbability-transitions-to-functional-imp

it is entirely mathematically valid. See here for some math https://www.quora.com/Is-there-a-point-where-statistical-improbability-transitions-to-functional-impossibility https://www.quora.com/Is-there-a-point-where-statistical-imp... The catch, here is "selecting a number randomly" - that isn't constructively defined. And to me this looks kind of similar to the notion of "measurement" in quantum theory - not precisely defined either.