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    The three methods produce mathematically correct results ... — Carmelics
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    Supports→Bertrand's chord paradox shows that three geometrically valid but non-equivalent equipossibility partitions yield probabilities of 1/3, 1/4, and 1/2 for the same event, proving internal inconsistency.

    The three methods produce mathematically correct results under their own definitions, yet contradict each other, demonstrating that probability requires external assumptions.

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    Bertrand's chord paradox shows that three geometrically valid but non-equivalent...

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