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Medium: Paradox

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Release Message: Conditional probability density functions are not invariant under coordinate transformations. Authored by Emile Borel and Andrey Kolmogorov.

Description: In probability theory, the Borel-Kolmogorov paradox (sometimes known as Borel's paradox) is a paradox relating to conditional probability with respect to an event of probability zero (also known as a null set). The fact that the conditional probability distribution over the prime meridian is different from the conditional probability distribution over the equator is puzzling because because a prime meridian in one coordinate system is an equator in another coordinate system,