Just curious - why is your 3-yr. old playing with Barbies and not baby dolls?
I should clarify first that she’s almost 4, and is very bright. She does have a baby doll too, as well as a bunch of Hot Wheels, a whole herd of stuffed animals, a tricycle, and a toy bow-and-arrow that she frequently uses to “strike down” the refrigerator (one of her favorite movies is an animated version of the Ramayana, where Prince Rama strikes down the Demon King Raavan with his bow). She doesn’t really “play” with the Barbies yet, as in acting out scenes and situations. Mostly she is learning how to dress them.
However, she’s already able to log on to the computer in our house by herself (that includes a 7-letter password) where she watches videos and fools around with Celestia (a Linux astronomy program). She does still watch the usual toddler shows like (old) Sesame Street and Dora and so on, but she also enjoys action movies, and actually “gets” at least some of the humor in movies like Pirates of the Caribbean. She stomped around the house the whole day declaring that she was Davy Jones after watching that one. She has started “telling” basic stories with her Hot Wheels, so I expect it won’t be long before she starts actually playing out stories with her Barbies.