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Paradox & Proof
Entry #0154
The reason a fair coin produces unfair-looking runs
In two hundred fair tosses a run of seven identical results is likely. People asked to fake the sequence almost never allow one, which is how fakes are detected.
Adept
The hidden part
#0154
Randomness clusters. The expected longest run in a fair sequence is far longer than intuition permits, so real data looks rigged.