Will_Sawin comments on Where Recursive Justification Hits Bottom - Less Wrong
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WRW has probability 1/2 * 2/3 * 1/2 = 1/6
WWR has probability 1/2 * 1/3 * 3/4 = 1/8
This is coherent if you require that the probability of different permutations of the same sequence be the same. An Anti-Laplacian urn must necessarily be finite.
On the other hand, Laplace assigns both a probability of 1/12.