I think sometimes the non-verbal part of your brain will put clues together without you going through the conscious process of putting everything together in a logical fashion. So the answer appears to you as a "flash" from out of nowhere, where in reality your unconscious mind was working on it. When a flash seems to predict the future, it was your unconscious mind putting together clues of what would probably happen.
A famous story about the unconscious mind giving us information in a flash has to do with the scientist who discovered the structure of benzene. He was trying to learn how a benzene molecule was put together, but he couldn't figure it out. Then he had a dream about a circle of snakes, each with its tail in the next snake's mouth. It turns out that the atoms in a benzene molecule are arranged in a ring, just like the snakes in his dream.
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