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The Extrasensory Perception test (ESP, extra-sensory perception) is the popular name for the experiments of J. B. Rhine (Duke University, 1930s) that investigated under controlled conditions claimed psychic faculties: telepathy, clairvoyance, precognition and psychokinesis. The classic test uses Zener cards: 5 symbols (circle, plus, waves, square, star), 25 cards per deck.
The expected probability of random hits with 5 symbols is 1 in 5 = 20%. A series of 25 cards has expected average of 5 hits. Hits above this baseline could (under appropriate methodological controls) indicate something beyond chance — interpretation that Rhine called "psi function".
The scientific consensus is skeptical: methodological criticisms of Rhine and successors (e.g., Wiseman, Hyman, Susan Blackmore) have shown that the positive results disappear when more rigorous controls are applied. A few researchers continue to look (e.g., Dean Radin), but mainstream science does not endorse psychic abilities as factually demonstrated. The interest of this test is recreational and self-knowledge: testing your own intuition.
With one test of 25, no. Statistical variation can give 10 by pure luck. Significant only with hundreds of trials.
Cognitive biases (confirmation bias, hindsight bias). We remember when we "knew" and forget when we got it wrong.