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The wine/water paradox is an apparent paradox in probability theory. It is stated by Michael Deakin as follows:
A mixture is known to contain a mix of wine and water in proportions such that the amount of wine divided by the amount of water is a ratio x {\displaystyle x} lying in the interval 1 / 3 ≤ x ≤ 3 {\displaystyle 1/3\leq x\leq 3} . We seek the probability, P ∗ {\displaystyle P^{\ast }} say, that x ≤ 2 {\displaystyle x\leq 2}.
The core of the paradox is in finding consistent and justifiable simultaneous prior distributions for x {\displaystyle x} and 1 x {\displaystyle {\frac {1}{x}}}.