You can be both uninterested and disinterested, or one but not the other. Disinterested means "impartial"; uninterested means "unconcerned" or "apathetic."
Many would interpret The judge was disinterested to mean that the judge didn't care. But the sentence actually means that the judge was unbiased. Huge difference there. Would you rather have a judge who's fair or one who wants to go home?