See e.g. the "blue 7" phenomenon [1]. While it is disputed by some, I've personally witnessed it "second hand". E.g. before learning of it (I was aware of the general principles of cold reading relying on stats and knowledge of human nature, but not how to do this particular one), a former boss of mine came back from lunch all excited and recounted a guy who'd run a cold reading routine on him that involved the guy getting him to think about blue and 7. Before he got to the answer, I already knew the answer was going to be blue and 7.

[1] https://en.wikipedia.org/wiki/Blue%E2%80%93seven_phenomenon