(E) says, "some children might become good musicians even if they have not had good musical educations"
The problem with (E) is that the argument is limited to whether or not the parents want to provide a strong foundation for their kids' musical ability. What the children do with their musical ability in the future doesn't matter, as whether or not they become good musicians is not part of the argument. Thus, we can get rid of (E).
Does this make sense? Let us know if you have any other questions!