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From what I recall, it was something like conservation of something, than magic, like:
If Alice has a special bucket with a blue and a green ball in it, and she takes one ball out, without looking at it. Then she hands the bucket to Bob, who cannot see inside the bucket. Bob already knew that a bucket of this type always comes with a blue and green ball.
Now, if Alice looks at what ball she has, and sees that her ball is green, she knows that Bob has a blue ball. And conversely if she has a blue ball, and vice versa.
