Como explicado em este artigo deliciosamente detalhado :
“When it was time to shoot the main title, we went with the people behind the video of ‘Parents,’” says Andy Borowitz. Scott Kalvert came in with a treatment that deliberately stayed in line with what had inspired the show. “The idea was ‘Parents Just Don’t Understand,’ ‘Girls Ain’t Nothing But Trouble’ and ‘The Fresh Prince of Bel-Air’ were all somewhat the same song and video,” says Townes, who appears in the video as one of Smith’s basketball buddies. “We basically took our experience of making records and videos and turned it into the intro of The Fresh Prince of Bel-Air.”
Observe que isso não significa que eles usaram a mesma atriz :
According to Townes, there’s also another casting rumor to clear up. Apparently, the mom in the “Parents Just Don’t Understand“ video and the “Fresh Prince” intro are not the same person, despite claims.