The "Horatio Alger" myth is one of our most common to illustrate this one. Which is hilarious, because the myth is based on a heavily abridged version of the stories:
"We think we know what comes next: Through hard work and perseverance, Ragged Dick emerges from destitution into a well-deserved fortune. But our contemporary notion of a “Horatio Alger story” departs significantly from what actually transpires in a Horatio Alger story. His heroes do exhibit many of the traditional self-made virtues—industry, frugality, a penchant for self-improvement—which set him apart from the ne’er-do-wells and confidence men who populate his adventures in the streets of New York. But these attributes merely qualify the Alger hero for success; they don’t produce it.
Instead, in Ragged Dick and in the scores of imitations Alger would write in its wake, the hero’s rise is the result of good luck and the good offices of a wealthy benefactor. In novel after novel, Alger’s hero meets a kindly gentleman who takes an interest in the poor boy’s advancement. He then buys the boy a new suit—a rite of passage into respectability that occurs in every story (often there’s a new watch, too)—and finds him a job, typically a junior position in a mercantile firm. Ragged Dick retires his boot-blacking kit when he’s offered a position as a clerk in the counting room of a Mr. Rockwell. He earns that position by saving Rockwell’s son, who conveniently falls off the Brooklyn ferry just as Dick’s penmanship has really started to improve."
