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A vanishingly small probability on a finite sample still implies nothing beyond a vanishingly small probability over an infinite population. To analogize: the
by 1propionyl 7y ago
A vanishingly small probability on a finite sample still implies nothing beyond a vanishingly small probability over an infinite population.
To analogize: the vanishingly unlikely probability of landing a dart precisely in the center of the bullseye on a finitely sized dartboard implies nothing more than the same for an infinitely large dartboard.
See also: https://en.wikipedia.org/wiki/Almost_surely https://en.wikipedia.org/wiki/Almost_surely (in particular the mathematical concept of "almost never")
- ramblerman 7y ago> See also: https://en.wikipedia.org/wiki/Almost_surely https://en.wikipedia.org/wiki/Almost_surely (in particular the mathematical concept of "almost never") You're confused here, did you read the mathematical definition of your own article? It has nothing to do with what you think, it starts with the presumption of P(E) = 1 or P(E) = 0 for almost never. That's not what we are talking about with small probabilities.