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Vulture comments on Yes, Virginia, You Can Be 99.99% (Or More!) Certain That 53 Is Prime - Less Wrong
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Not quite, as SquallMage had correctly answered that 27, 33, 39 and 49 were not prime.
The point is, it's fundamentally the same trick, and is just that: a trick.
Except it's not the same trick. What you describe relies on the mark getting into the rhythm of replying "yes" to every question; the actual example described has the mark checking each number, but making a mistake eventually, because the odds they will make a mistake is not zero.