If I’m uninterested, I really don’t give a rat about the subject. If I’m disinterested, I don’t have a dog in that fight, but I might find it interesting.
If you don’t care to watch the Super Bowl regardless of who is playing, you’re uninterested. If you want to watch but don’t care who wins, you’re disinterested.
(If you’re inclined to root for — oh, say — a Dallas or Minnesota, you’re just interested in the wrong team.)
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