This question was inspired by another question on another SE site: https://history.stackexchange.com/questions/7931/has-any-other-book-in-history-been-as-prescriptive-as-mein-kampf
If someone in 1909 had pointed to a certain 20 year old AUSTRIAN and said, "Within 25 years, this homeless high school dropout will make himself absolute dictator, not of his home country (Austria), but a more powerful neighboring one (Germany)," the statement would have been dismissed as "statistically improbable." Yet, unfortunately, it actually happened.
Suppose the birth of someone like Hitler were a "six sigma" event: I've taken the liberty of "rounding" this to "one in a million." Then, in a world of seven billion people, wouldn't there be 7,000 potential Hitlers around? Then wouldn't the question be not, "do these people exist? but rather, "Will one of these people ever get into power?"
Put another way, does a large enough population offset a "statistical improbability" to a great enough degree so that it becomes at least "somewhat probable"?