I remember one night at college where my INTP friend and I played this game where we sent thoughts to each other.
We would ask the other person to think as clearly as possible about a number or an animal and try to "send it" mentally to the other person. We were right about 95% of the time.
This is way before I had even known about MBTI, or about "intuition" in mbti terms, but as I reflect back on it, I can't help thinking that it was related to intuition in some way. More likely Ni than Ne.
I am not exactly a likable, people magnet, but this was one of those rare persons who I became friends with instantly. We just walked up to each other, started talking and it turned out we had some eerily similar quirky hobbies and interests right down to the specific details. So perhaps this could help account for the high accuracy?