Perhaps the most culturally well-known genie today is the one from Disney's Aladdin, who granted Aladdin "three wishes, three. Uno, dos, tres, no substitutions, exchanges, or refunds, and ixnay on the wishing for more wishes."
This is not the way the genie from The Arabian Nights worked. (First off, there were two of them in the story of Aladdin, but that's beside the point.) The Genie of the Lamp had to grant unlimited wishes to Aladdin. I remember when the Disney movie first came out, thinking, "that's not how the story goes, but 'three wishes' is kind of the standard, so OK."
But now, thinking back, I can't help but wonder. When did "three wishes" become the standard? Where does that idea come from?